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Paper Citation Record · LEDGER

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

As of 18 August 2026, this Paper Citation Record lists 100 of 115 outbound references and 5 inbound Pith citation observations for arXiv:2505.16970.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.16970 v1

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measured 100 of 115 reference resolution

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measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-15T10:10:26.228660Z

Reference resolution

100 of 115 outbound references displayed

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Outbound references

Observation 8a371553-fc6f-44a2-8c18-045274bc7352 · outbound

This paper cites Princeton University Press, 2008.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Princeton University Press, 2008

Reference 1

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Observation 3a110fec-35f3-43a5-8c3a-f4606e4f9f5c · outbound

This paper cites From nesterov’s estimate sequence to riemannian acceleration.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms From nesterov’s estimate sequence to riemannian acceleration

Reference 2

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Observation cea5a782-49cc-4d78-a07e-5edda17027ce · outbound

This paper cites A continuous-time perspective for modeling acceleration in riemannian optimization.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A continuous-time perspective for modeling acceleration in riemannian optimization

Reference 3

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Observation d162b487-0c1b-43d9-88aa-59d92163af0f · outbound

This paper cites Momentum improves optimization on riemannian manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Momentum improves optimization on riemannian manifolds

Reference 4

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Observation 3c348539-22b6-4f16-bc0b-1c8322bbe40a · outbound

This paper cites Allen-Zhu, A.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Allen-Zhu, A

Reference 5

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Observation 03138070-4862-406c-9616-84ac585acbcd · outbound

This paper cites Amendola, K.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Amendola, K

Reference 6

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Observation c711f81f-2faf-4b19-9c62-dc76407d4e95 · outbound

This paper cites On approximating the riemannian 1-center.Computa- tional Geometry, 46(1):93–104, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms On approximating the riemannian 1-center.Computa- tional Geometry, 46(1):93–104, 2013

Reference 7

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Observation 82df6978-8a91-477b-95da-4e377f2bce74 · outbound

This paper cites Auderset, C.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Auderset, C

Reference 8

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Observation a4d3927c-13f6-483d-925a-f65d5107e96e · outbound

This paper cites Inf-convolution and regularization of convex functions on riemannian manifolds of nonpositive curvature.Revista Matem´ atica Complutense, 19(2):323– 345, 2006.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Inf-convolution and regularization of convex functions on riemannian manifolds of nonpositive curvature.Revista Matem´ atica Complutense, 19(2):323– 345, 2006

Reference 9

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Observation 5b9431d5-6b69-4b7b-9213-50b2ccf50560 · outbound

This paper cites Nonsmooth analysis and hamilton– jacobi equations on riemannian manifolds.Journal of Functional Analysis, 220(2):304–361, 2005.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Nonsmooth analysis and hamilton– jacobi equations on riemannian manifolds.Journal of Functional Analysis, 220(2):304–361, 2005

Reference 10

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Observation a790f0bc-a910-4c02-9aeb-02f923188db4 · outbound

This paper cites An extension theorem for convex functions of class c1, 1 on hilbert spaces.Journal of Mathematical Analysis and Applications, 446(2):1167–1182, 2017.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms An extension theorem for convex functions of class c1, 1 on hilbert spaces.Journal of Mathematical Analysis and Applications, 446(2):1167–1182, 2017

Reference 11

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Observation e9455c91-15b7-4545-bf73-4bbbd0aabc4d · outbound

This paper cites Walter de Gruyter GmbH & Co KG, 2014.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Walter de Gruyter GmbH & Co KG, 2014

Reference 12

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Observation 70391902-cf85-40d7-ab88-6226bf7944f3 · outbound

This paper cites Birkh¨ auser Basel, 1995.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Birkh¨ auser Basel, 1995

Reference 13

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Observation 347f52ea-e949-4bf9-9ec4-5733a7754084 · outbound

This paper cites Birkh¨ auser Boston, 1985.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Birkh¨ auser Boston, 1985

Reference 14

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Observation 7e2c2352-fa42-4977-8094-80fcd7743be6 · outbound

This paper cites Potential-function proofs for gradient methods.Theory of Computing, 15(1):1–32, 2019.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Potential-function proofs for gradient methods.Theory of Computing, 15(1):1–32, 2019

Reference 15

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Observation 915f632e-bf1a-4686-9bc4-633d8f19ac34 · outbound

This paper cites Fenchel conjugate via busemann function on hadamard manifolds.Applied Mathematics & Optimization, 88(3):83, 2023.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Fenchel conjugate via busemann function on hadamard manifolds.Applied Mathematics & Optimization, 88(3):83, 2023

Reference 16

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Observation 2ae3d5d3-ba42-41de-905d-6df16cffd709 · outbound

This paper cites Horo- spherical learning with smart prototypes.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horo- spherical learning with smart prototypes

Reference 17

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Observation baf4936c-9ce5-45c0-9350-af5dd9807652 · outbound

This paper cites Geometry of the space of phylogenetic trees.Advances in Applied Mathematics, 27(4):733–767, 2001.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Geometry of the space of phylogenetic trees.Advances in Applied Mathematics, 27(4):733–767, 2001

Reference 18

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Observation 66453795-a5f1-43c0-a2f8-eea202a75518 · outbound

This paper cites Hyperbolic sliced- wasserstein via geodesic and horospherical projections.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Hyperbolic sliced- wasserstein via geodesic and horospherical projections

Reference 19

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Observation a54639f6-3e72-468f-be60-04a69c1bedca · outbound

This paper cites Convex sets in hadamard manifolds.Differential Geometry and its Applica- tions, 17(2-3):111–121, 2002.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex sets in hadamard manifolds.Differential Geometry and its Applica- tions, 17(2-3):111–121, 2002

Reference 20

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Observation 2eb4578e-c591-4466-abe8-03d5350d305a · outbound

This paper cites An introduction to optimization on smooth manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms An introduction to optimization on smooth manifolds

Reference 21

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Observation 1aed58e0-a923-4246-bc80-77612ad77304 · outbound

This paper cites Cambridge university press, 2004.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Cambridge university press, 2004

Reference 22

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Observation 463045f2-610b-443a-85ca-a8f001370be4 · outbound

This paper cites Springer Science & Business Media, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2013

Reference 23

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Observation 1b311aa1-f892-441a-a44f-2ca738f536de · outbound

This paper cites Convex optimization: Algorithms and complexity.Foundations and Trends®in Machine Learning, 8(3-4):231–357, 2015.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex optimization: Algorithms and complexity.Foundations and Trends®in Machine Learning, 8(3-4):231–357, 2015

Reference 24

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Observation 8fac33e9-35f9-4cb2-8248-f3a5ae9a12b5 · outbound

This paper cites A geometric alternative to Nesterov's accelerated gradient descent.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A geometric alternative to Nesterov's accelerated gradient descent

Reference 25

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Observation 1a2f8263-4a31-4447-a438-f2657cc5f9e8 · outbound

This paper cites Deciding positivity of littlewood–richardson coeffi- cients.SIAM Journal on Discrete Mathematics, 27(4):1639–1681, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Deciding positivity of littlewood–richardson coeffi- cients.SIAM Journal on Discrete Mathematics, 27(4):1639–1681, 2013

Reference 26

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Observation 187b0d48-cca1-4006-910b-a945136f27eb · outbound

This paper cites B¨ urgisser, C.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms B¨ urgisser, C

Reference 27

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Observation d6ae32d6-d35b-4d4b-9033-395694d90c53 · outbound

This paper cites Efficient algorithms for tensor scaling, quantum marginals, and moment polytopes.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Efficient algorithms for tensor scaling, quantum marginals, and moment polytopes

Reference 28

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Observation 1ae6fd40-941a-4f8a-8f08-f0c6ad44b370 · outbound

This paper cites Interior-point methods for unconstrained geometric programming and scaling problems, 2020.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Interior-point methods for unconstrained geometric programming and scaling problems, 2020

Reference 29

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Observation 1e1d770c-c3db-417a-9afa-4a94f3665356 · outbound

This paper cites Horopca: Hyperbolic dimen- sionality reduction via horospherical projections.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horopca: Hyperbolic dimen- sionality reduction via horospherical projections

Reference 30

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Observation e8f1c8d5-613a-40e3-a948-11bec89017d4 · outbound

This paper cites Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds

Reference 31

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Observation c944de70-5b9a-48d0-bebf-a6cdc4d8a953 · outbound

This paper cites Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles

Reference 32

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Observation 9fbdba9b-725d-4fe8-8dd7-dfa12f03f772 · outbound

This paper cites Curvature and complexity: Better lower bounds for geodesically convex optimization.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Curvature and complexity: Better lower bounds for geodesically convex optimization

Reference 33

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Observation ff73d7ae-a67a-42c9-a20d-1da8c0c0f366 · outbound

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Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

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Observation eacd0e65-b4bd-4b36-ac77-0bab5eb5cced · outbound

This paper cites Open Problem: Polynomial linearly-convergent method for geodesically convex optimization?.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Open Problem: Polynomial linearly-convergent method for geodesically convex optimization?

Reference 35

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:05.201525Z digest=sha256:468ef0bc4947b1a63cc4defd2e115b4d19a529bc475bdc9cff3ea0955a4fed4e

Observation bfbcfaea-1a93-42aa-b7f0-3220faee5c86 · outbound

This paper cites Performance of first-order methods for smooth convex mini- mization: a novel approach.Mathematical Programming, 145(1):451–482, 2014.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Performance of first-order methods for smooth convex mini- mization: a novel approach.Mathematical Programming, 145(1):451–482, 2014

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.262770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.262770Z digest=sha256:3db6304535ff3d39d47d6dae15240771152750a14289a2fa724e2130a61d7149

Observation b992ca87-ca7e-4611-94b4-58f52e325147 · outbound

This paper cites An optimal first order method based on optimal quadratic averaging.SIAM Journal on Optimization, 28(1):251–271, 2018.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms An optimal first order method based on optimal quadratic averaging.SIAM Journal on Optimization, 28(1):251–271, 2018

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.345801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.345801Z digest=sha256:c550b05452cf891c2b14c1cf063901cd60e2d39accf5ed1d8e448aced7e253da

Observation 9d262db8-2572-48df-9fb3-9571a46fb4de · outbound

This paper cites The minimum covering sphere problem.Management science, 19(1):96–104, 1972.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms The minimum covering sphere problem.Management science, 19(1):96–104, 1972

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.394682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.394682Z digest=sha256:b3097544ee7cda1642a8a5da3cb05c731c31cf69a0f4d279e5135635b84cb759

Observation 4fec4243-79bc-401e-a2f1-caaad6efa8bf · outbound

This paper cites Horospherical decision boundaries for large margin classification in hyperbolic space.Advances in Neural Information Processing Systems, 36, 2023.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horospherical decision boundaries for large margin classification in hyperbolic space.Advances in Neural Information Processing Systems, 36, 2023

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.786395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:05.504137Z digest=sha256:4dec7c326e2ee93cf2cab6a8852b44767bc52ed77e62eb55eb4f7848786ca069

Observation 9b0958ce-efaa-4616-afbb-9bb167e06ed1 · outbound

This paper cites Hyperbolization of cusps with convex boundary.Manuscripta mathematica, 150:475–492, 2016.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Hyperbolization of cusps with convex boundary.Manuscripta mathematica, 150:475–492, 2016

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.635819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:05.623417Z digest=sha256:4739c862ae99ffaebccfe798cea96d32e041785791e620a8cc0807a928a03c54

Observation 5531a063-1030-4465-aa9c-d8bb16682f4c · outbound

This paper cites Horoball hulls and extents in positive definite space.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horoball hulls and extents in positive definite space

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.488095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:05.687533Z digest=sha256:0f590bcfc05a6df417ba6501d5708d8e0ffdeda7f14224bfde35b70f4e19f81e

Observation 1154681c-fd91-4385-aced-94d73f9846cb · outbound

This paper cites Franks and A.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Franks and A

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.354929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:05.760230Z digest=sha256:c21c9adde55754f9b381400512a06f79f08659efe430937899ee47913563b8e1

Observation 83a8f84d-3679-4c90-aee3-7f1f09f18c46 · outbound

This paper cites Franks, R.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Franks, R

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.801204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.801204Z digest=sha256:1c9d244554c7b4c9fdbde4ffae591254c076907ae2612cc8a75c929306b5a7b2

Observation 46abbd86-3dbb-456b-99f6-2c7cae4dabea · outbound

This paper cites Franks and P.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Franks and P

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.253288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:05.979640Z digest=sha256:2399a3a836659c8835ea0366b3d1204047f5293e312b75c64f85eaca7312bf45

Observation c4c04bb4-f5ec-4b56-86ab-327a43150f60 · outbound

This paper cites Operator scaling with specified marginals.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Operator scaling with specified marginals

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.101661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.074346Z digest=sha256:32d18edaf7c2d18040abd357e740d0c06bcd00f2cc19ea9958ed86b1b51cf97f

Observation 5e531c5c-a462-4fb0-b7d1-3c239fc432ac · outbound

This paper cites Linear combinations of hypersurfaces in hyperbolic space.Prepubl.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Linear combinations of hypersurfaces in hyperbolic space.Prepubl

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.949772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.164838Z digest=sha256:e81b5656b0e42f52868317bc1fe592a4ca6f04de8142a7ff42927e887265005c

Observation e6217b4a-9560-4a22-886c-6b5f6d840260 · outbound

This paper cites Operator scaling: Theory and applications.Foundations of Computational Mathematics, 20(2):223–290, 2020.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Operator scaling: Theory and applications.Foundations of Computational Mathematics, 20(2):223–290, 2020

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.799342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.241728Z digest=sha256:6e4bdb2445e34253b69151d57545cce75c033fdcb71aae6cce669c150d2c6ca5

Observation 52616050-f39b-4611-8b74-876f327a6a51 · outbound

This paper cites Hyperbolic busemann learning with ideal prototypes.Advances in neural information processing systems, 34:103–115, 2021.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Hyperbolic busemann learning with ideal prototypes.Advances in neural information processing systems, 34:103–115, 2021

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.670584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.363804Z digest=sha256:3dde2e47e3e57d397cd48a1d4844c68d7a46b201f3487eded315b8d35fa819e6

Observation 6f0710b6-4801-4e84-925c-4499dfa35414 · outbound

This paper cites Lewis, Genaro Lopez-Acedo, and Adriana Nicolae.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Lewis, Genaro Lopez-Acedo, and Adriana Nicolae

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.399463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.526776Z digest=sha256:0214249a6db7a814a940905363f75f8dfcd0b9d980366700bee32c8fda419b89

Observation 99c8a195-9a54-4fee-a010-f2a77423c484 · outbound

This paper cites Lewis, Genaro Lopez-Acedo, and Adriana Nicolae.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Lewis, Genaro Lopez-Acedo, and Adriana Nicolae

Reference 50

Resolution
verified exact
raw_fallback, observed 2026-08-07T15:01:12.810054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.605881Z digest=sha256:e14a58222ec371237645ebee794eb61b8c899b4029a757308a995aae70bd23e2

Observation 9c920843-2561-4a28-ba37-ab65082ff70c · outbound

This paper cites How to conjugate c 1-close group actions.Mathema- tische Zeitschrift, 132(1):11–20, 1973.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms How to conjugate c 1-close group actions.Mathema- tische Zeitschrift, 132(1):11–20, 1973

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.094036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.656942Z digest=sha256:8c2a099310040aaf3c8ec5e91d582b71f1b5b272ac3ea04de921d1d0166ae6f2

Observation 6326f2ac-44f2-4460-95a5-e55e385cdd24 · outbound

This paper cites No-go Theorem for Acceleration in the Hyperbolic Plane.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms No-go Theorem for Acceleration in the Hyperbolic Plane

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:01:12.514390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.780010Z digest=sha256:a2724bfb7ad6f930ea4fd23df2be45756b5e94d6db0f4453e5fbfa8cefa3b695

Observation 9160525e-ba87-4b83-a789-7e7dd4cdfbdf · outbound

This paper cites Riemannian accelerated gradient methods via extrapolation.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Riemannian accelerated gradient methods via extrapolation

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.888861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.901053Z digest=sha256:ebc66b1bf4275eadcd92dd7f8e29284977c1467f124a25817b5f266bedbc25f3

Observation 1032b5ec-47d6-438d-a8fa-33846b75f0e9 · outbound

This paper cites American Mathematical Society, Providence, RI, 1984.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms American Mathematical Society, Providence, RI, 1984

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.640712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:06.989193Z digest=sha256:5840c78dc2b5ae51d54f18ad34f68e5c271ee07da2210ea603dafb42b38970cd

Observation c04c72ab-1a33-45da-abee-f4443b8047d4 · outbound

This paper cites Convex analysis on hadamard spaces and scaling problems.Foundations of Computational Mathematics, pages 1–38, 2023.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex analysis on hadamard spaces and scaling problems.Foundations of Computational Mathematics, pages 1–38, 2023

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.451902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.086837Z digest=sha256:6650235f4f937f0817edbc0c07f0427dd2303956a556b99541f6824e8f32eeec

Observation d9672da5-8265-4b09-b20d-3db82a843e67 · outbound

This paper cites Interior-point methods on manifolds: theory and applications.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Interior-point methods on manifolds: theory and applications

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.180430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.219030Z digest=sha256:faec7a9627063366cebd2cd679e5cacbf8f36f87347ffe0852fe68dffa552707

Observation 97a69e44-1a00-4ba9-8124-4dadbe7fd90d · outbound

This paper cites Springer science & business media, 1996.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer science & business media, 1996

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:21.911558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.301736Z digest=sha256:5a17968fc312390ce67080299fd2564eda5e9d701962bbebd6a3b54d2b4be0c3

Observation b08afe5e-7e87-4328-b9c9-fa6b5d544582 · outbound

This paper cites Springer Science & Business Media, 2007.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2007

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:21.613863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.351741Z digest=sha256:08f9f24cc738082bb6251d93847fcd94a0f6822dbe5bf77d9bcacc20683826cb

Observation 52c1730b-3b76-40b0-a6b3-43469ad50a57 · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:01:21.380625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.415660Z digest=sha256:8c8ffa8401ee832ee9ed55556de23b61a012ab28be605580c50d461bc4a3343a

Observation b1e2edbd-31f7-452f-b311-793bb3cb1721 · outbound

This paper cites Show that if a convexchas a supporting hyperplane at every point of its boundary, then it’s convex.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Show that if a convexchas a supporting hyperplane at every point of its boundary, then it’s convex

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:21.182986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.560188Z digest=sha256:a58406736d679ca26a1e9a680bb7091413921693a8bd8255d109f411a2572555

Observation 53abd6f3-872c-4682-b2ad-1c2c61bd28d7 · outbound

This paper cites Understanding riemannian acceleration via a proximal extragradient framework.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Understanding riemannian acceleration via a proximal extragradient framework

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.964055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.654496Z digest=sha256:c740420cbcea745dbc8f7f23beecc55c0d9c314ec88ddd9c88ab39f7785a31d2

Observation f11e12d4-88ca-4458-a68a-2fcc34b9a622 · outbound

This paper cites Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.758706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.702931Z digest=sha256:899dafbaa62bfa021f8b145f28816ebd08b7877b65dbd09ec9bd85341787d09e

Observation e975293a-28ae-4e29-967f-68621d7e374d · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:01:20.592725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.807931Z digest=sha256:265ac45151df1c654f9353e573f0109803fde3e6f81ede95700bce851609e0e3

Observation cd06b5ba-5ccf-4622-9711-cb43e86ba44a · outbound

This paper cites Optimized first-order methods for smooth convex minimization.Mathematical programming, 159:81–107, 2016.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Optimized first-order methods for smooth convex minimization.Mathematical programming, 159:81–107, 2016

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.452962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.937182Z digest=sha256:7ad8f9d51436d2af28a5e57c3705b6a2078380d696697726573294b6003a3139

Observation b6e9e067-c99e-496b-abf4-d12365f125e4 · outbound

This paper cites Accelerated gradient methods for geodesically convex op- timization: Tractable algorithms and convergence analysis.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Accelerated gradient methods for geodesically convex op- timization: Tractable algorithms and convergence analysis

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.314993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:07.978295Z digest=sha256:eebcf5fb6c4815880cdfd71b90b2f6f7bf6c85090c8c5b777c5b854bf9e794d1

Observation 3ce36f06-5063-488a-84e2-4d97f32be46a · outbound

This paper cites Convexity properties of the moment mapping, iii.Inventiones mathematicae, 77(3):547–552, 1984.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convexity properties of the moment mapping, iii.Inventiones mathematicae, 77(3):547–552, 1984

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.099650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.012651Z digest=sha256:97c8f5856dabb695cc8945f54dc32d1ccef2ae7440c151fab00b4b33e5c215aa

Observation ebf11ea3-9eb2-4544-b300-7adae1bb7fd3 · outbound

This paper cites (MN- 31), Volume 31, volume 104.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms (MN- 31), Volume 31, volume 104

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.937545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.073868Z digest=sha256:0e83c546096823a48cb3afb09ba4d26378984eeb1e77dba21191494f781641db

Observation 46b144d7-0d0c-4750-8779-4efd8e76f280 · outbound

This paper cites Klyachko.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Klyachko

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.761392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.139419Z digest=sha256:47ed9736cbd9ad24df52bcfc07a0eca9d99188469c859084e0e33ee7c4708561

Observation 7a093d62-de2c-4c0e-a2ac-26529a39293e · outbound

This paper cites The symplectic and algebraic geometry of horn’s problem.Linear Algebra and its Applications, 319(1):61–81, 2000.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms The symplectic and algebraic geometry of horn’s problem.Linear Algebra and its Applications, 319(1):61–81, 2000

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.576634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.260663Z digest=sha256:364bde382f2809dbe1d4a8bc0cbcfeea9618dd8ba1086302e75e52ac4a6b672e

Observation de8e03f2-f837-4f13-a0d5-780a10318b11 · outbound

This paper cites The honeycomb model of GL n(C) tensor products i: Proof of the saturation conjecture.Journal of the American Mathematical Society, 12(4):1055–1090, 1999.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms The honeycomb model of GL n(C) tensor products i: Proof of the saturation conjecture.Journal of the American Mathematical Society, 12(4):1055–1090, 1999

Reference 70

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raw_fallback, observed 2026-08-07T15:01:19.380270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.310435Z digest=sha256:34bed1a6d00975bf978aad2a6339e87dabd68746fffa5e88eb85130379d6e247

Observation 4b861217-a60d-43c0-808d-127cb78fc125 · outbound

This paper cites A simpler approach to obtaining an O(1/t) convergence rate for the projected stochastic subgradient method.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A simpler approach to obtaining an O(1/t) convergence rate for the projected stochastic subgradient method

Reference 71

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.365803Z digest=sha256:fa9eefd8ebc82dab2caebb3f650ebe0171353b31e15ee7d370bfb2c4a33600ef

Observation ac51d987-3788-4188-b988-4b6aa82312cf · outbound

This paper cites Springer, 2018.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer, 2018

Reference 72

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.432383Z digest=sha256:b5f43c420bfd7f490915d38a4b451e65bcf5b4902ddc98bc83bfe55ca8f20fae

Observation 3949a307-9a27-46e4-8fe1-5ae2d5d101de · outbound

This paper cites Gradient descent with a general cost.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Gradient descent with a general cost

Reference 73

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.511203Z digest=sha256:4352c2638d72c34913a7e1ff0037ab5c88f8e61968c9e3d015521b43808b4c50

Observation a8e9919d-4705-4680-b6a0-4eb63b3e0e94 · outbound

This paper cites Horoballs and the subgradient method.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horoballs and the subgradient method

Reference 74

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local_arxiv, observed 2026-08-07T15:01:12.351710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.606175Z digest=sha256:da24d7fd1de884ac6d9175bd86ab2a4222e07c9fb2dc6d2f3ae06efe002d5c95

Observation 5c18aba8-ed8d-4bcb-b9b9-e241bdee96f3 · outbound

This paper cites Accelerated Algorithms for Convex and Non-Convex Optimization on Manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Accelerated Algorithms for Convex and Non-Convex Optimization on Manifolds

Reference 75

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local_arxiv, observed 2026-08-07T15:01:12.159534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.634607Z digest=sha256:e6dace46030c938570c4f25263b06da33c34223afe7116d4ecd9d955c5c7d9a6

Observation 1197a43a-979d-4b1c-a31e-6263007d03e0 · outbound

This paper cites Fast and Safe: Accelerated gradient methods with optimality certificates and underestimate sequences.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Fast and Safe: Accelerated gradient methods with optimality certificates and underestimate sequences

Reference 76

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local_arxiv, observed 2026-08-07T15:01:11.956109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.694776Z digest=sha256:597ad9a6a338f56edf4d345b6e0aa695dc7c1cbb1e925d529020efda3a1c00ed

Observation 0de91a90-e6fe-441c-a219-163a7c23f6d5 · outbound

This paper cites Global riemannian acceleration in hyperbolic and spherical spaces.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Global riemannian acceleration in hyperbolic and spherical spaces

Reference 77

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verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.265754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.784419Z digest=sha256:aa6eaf64809a7b88054814376897ba74f5ee9a3b57f5a3e86c1981be00d45bf0

Observation 86cb1e81-4e97-4fb6-9c6b-f874d4181837 · outbound

This paper cites Accelerated riemannian optimization: Han- dling constraints with a prox to bound geometric penalties.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Accelerated riemannian optimization: Han- dling constraints with a prox to bound geometric penalties

Reference 78

Resolution
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raw_fallback, observed 2026-08-07T15:01:19.104038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.863778Z digest=sha256:816b6e61ed599736cf5fac03dd2ab0d01bbc02e66965f4772f98a48954be1b86

Observation 7405c3de-c5b1-442e-96f8-ff9f6fa39c6f · outbound

This paper cites Convergence and Trade-Offs in Riemannian Gradient Descent and Riemannian Proximal Point.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convergence and Trade-Offs in Riemannian Gradient Descent and Riemannian Proximal Point

Reference 79

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no resolver link, observed 2026-08-07T15:01:08.913713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.913713Z digest=sha256:d3afa996156f86a73cb57494003983b5373f2eb98281ab0c595527ad98f5f0e4

Observation 7d9b6aea-a26d-4e1e-929a-71aa3f9444f6 · outbound

This paper cites Horocyclically convex univalent functions.Michigan Mathe- matical Journal, 53(3):483–496, 2005.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horocyclically convex univalent functions.Michigan Mathe- matical Journal, 53(3):483–496, 2005

Reference 80

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raw_fallback, observed 2026-08-07T15:01:18.944013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:08.958185Z digest=sha256:f0303bd73a49b22cf879bdf8d964c68c4d214799280d626abfb8d9bc9974d468

Observation a1c84560-1d94-40e0-8aa5-d94dbf69f979 · outbound

This paper cites Proximit´ e et dualit´ e dans un espace hilbertien.Bulletin de la Soci´ et´ e math´ ematique de France, 93:273–299, 1965.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Proximit´ e et dualit´ e dans un espace hilbertien.Bulletin de la Soci´ et´ e math´ ematique de France, 93:273–299, 1965

Reference 81

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verified fuzzy
raw_fallback, observed 2026-08-07T15:01:18.817873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.024945Z digest=sha256:8ba39ea8057434f2d0c4c64092fc91da92c691a0a4a82ecf688a1fcc9c786634

Observation ee2b6d35-9313-451b-a060-e3d8c3d83ac3 · outbound

This paper cites Some np-complete problems in quadratic and non- linear programming.Mathematical Programming, 39:117–129, 1987.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Some np-complete problems in quadratic and non- linear programming.Mathematical Programming, 39:117–129, 1987

Reference 82

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raw_fallback, observed 2026-08-07T15:01:18.625881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.105879Z digest=sha256:558a25d9295463d3dab82e10b7deda16aacb3f2afcd57bc8ec218bc31d5a99bd

Observation b4dac84b-d584-48f2-a685-a5206affc08a · outbound

This paper cites Nemirovski.Information-based complexity of convex programming.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Nemirovski.Information-based complexity of convex programming

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raw_fallback, observed 2026-08-07T15:01:18.440368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.212549Z digest=sha256:91ab8ebade3144a7dfb45514ba596a25e758a76fa180de70689be29ab5d3ce66

Observation d6f64e27-f5d7-4c05-9dfd-673c91d7d120 · outbound

This paper cites On complexity of matrix scaling.Linear Algebra and its Applications, 302-303:435–460, 1999.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms On complexity of matrix scaling.Linear Algebra and its Applications, 302-303:435–460, 1999

Reference 84

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raw_fallback, observed 2026-08-07T15:01:18.266334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.265088Z digest=sha256:e2803d5d7b031273b3ded59a74c9d13c8acc7997996fbfb745b49ecf65a8a4a2

Observation 81cf2eee-60e4-4c19-9b53-e67b3d59bf01 · outbound

This paper cites A method for solving the convex programming problem with convergence rateo(1/k 2).

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A method for solving the convex programming problem with convergence rateo(1/k 2)

Reference 85

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raw_fallback, observed 2026-08-07T15:01:18.103122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.351108Z digest=sha256:47f68ff098fc853ebe9d4ada299df7d32a876a28a72d963cf3885115ad0018bf

Observation 3188a3a8-05ba-4e65-9823-10923b24e5f0 · outbound

This paper cites Springer, 2018.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer, 2018

Reference 86

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no resolver link, observed 2026-08-07T15:01:09.436893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.436893Z digest=sha256:3de64978b0f23b0a3c2d930da38d842d93d0e6acb0bf5d0f544e467e373e07c0

Observation eefcc4a5-171e-4b48-aef3-b8e516c1f2bf · outbound

This paper cites Springer, 2006.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer, 2006

Reference 87

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no resolver link, observed 2026-08-07T15:01:09.515935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.515935Z digest=sha256:723bdec24e771dacf1dc3dfebdd10a5a6cdac8ca1ff957008b1fc5d1de750905

Observation 1623ba68-4963-401f-9056-f285e7be77f6 · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 88

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raw_fallback, observed 2026-08-07T15:01:17.978404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.549413Z digest=sha256:0da88021db51aeff8a58b6361ac35f7c9f30bcd478f006cbcdb8e425f928f62d

Observation 775231bf-e67d-48da-99e5-723b1cf36c91 · outbound

This paper cites Princeton university press, 1997.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Princeton university press, 1997

Reference 89

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raw_fallback, observed 2026-08-07T15:01:17.782678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.592016Z digest=sha256:1f09754c5fb9617517fce6f11ec2abee890c6d87d59d3bdb68c2899de1e9ec6d

Observation f3a274f7-8057-4e54-ad61-0dcdaf47abe4 · outbound

This paper cites Springer Science & Business Media, 2009.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2009

Reference 90

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no resolver link, observed 2026-08-07T15:01:09.667100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.667100Z digest=sha256:cd25674c03bd992b3d5db3d7f5a848443a286cb7b13ec6c5844bf8303bc7dc62

Observation de177244-5fa4-4ff7-809a-ff1c2d9c5238 · outbound

This paper cites Implicit Riemannian Optimism with Applications to Min-Max Problems.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Implicit Riemannian Optimism with Applications to Min-Max Problems

Reference 91

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no resolver link, observed 2026-08-07T15:01:09.762172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.762172Z digest=sha256:8949f89b8814e085e643f337b6f3d8ff32da06e89ec83e99efa5225e33a97788

Observation edb8b5c8-805f-4cf7-80a8-ece737e5e2ce · outbound

This paper cites Springer Science & Business Media, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2013

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:17.618444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.844934Z digest=sha256:12cbb20d557947cba494694e905a62b89d27c6800a9ae1ba894a8e91207bf958

Observation 246703d8-2538-44f4-b620-6031b5b2f00d · outbound

This paper cites A Riemannian Corollary of Helly's Theorem.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A Riemannian Corollary of Helly's Theorem

Reference 93

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no resolver link, observed 2026-08-07T15:01:09.896282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.896282Z digest=sha256:77b7b352e60d96af15a8b53a93af18eee1fbdc577c63ee1eccd05c632ad1fa2f

Observation 668b016d-7da3-4a10-861f-2595d6ac8f21 · outbound

This paper cites Computationally related problems.SIAM Journal on computing, 3(4):262–279, 1974.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Computationally related problems.SIAM Journal on computing, 3(4):262–279, 1974

Reference 94

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raw_fallback, observed 2026-08-07T15:01:17.442979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:09.984976Z digest=sha256:d8d4215d9c772892b8ee3461e79b0bd385c9901864b0323d22abb503d1338120

Observation 075bf611-b275-419e-b563-5fccb446024e · outbound

This paper cites Horocycles and convex sets in hyperbolic plane.Archiv der Mathematik, 18:529–533, 1967.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horocycles and convex sets in hyperbolic plane.Archiv der Mathematik, 18:529–533, 1967

Reference 95

Resolution
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raw_fallback, observed 2026-08-07T15:01:17.271329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:10.047308Z digest=sha256:e07ddb3d88b026f73447ee3e8b68c300579362d5ddc5b88c48ea751c24804820

Observation ca92e7b7-624f-4774-817f-551496a644ea · outbound

This paper cites Horospheres and convex bodies in hyperbolic space.Proceedings of the American Mathematical Society, 19(2):390–395, 1968.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horospheres and convex bodies in hyperbolic space.Proceedings of the American Mathematical Society, 19(2):390–395, 1968

Reference 96

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verified fuzzy
raw_fallback, observed 2026-08-07T15:01:17.104423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:10.130881Z digest=sha256:7fa4eaade7bda7d3186f8450ffd0d6125bd5d5f894b61f73f9050832b7c35bce

Observation 442d1d84-8ee1-4c17-a9b6-e258c5d10ddd · outbound

This paper cites Singer.Abstract Convex Analysis.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Singer.Abstract Convex Analysis

Reference 97

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raw_fallback, observed 2026-08-07T15:01:16.893942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:10.171503Z digest=sha256:c31212009d6eb5d73218a91fa92d3952ccdd7b1a20cd1702c04a794f6084763d

Observation 3d29c3c9-1fa2-49f5-85f4-140e2b4e824a · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 98

Resolution
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raw_fallback, observed 2026-08-07T15:01:16.716115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:10.210336Z digest=sha256:f3fffa8b906d452389024e2db010f48954a1d3acb896c347f0abf2825e9a7de1

Observation d5f46629-cccc-4979-bc7e-1b0337bbeebf · outbound

This paper cites Fully-connected network on noncompact symmetric space and ridgelet transform based on helgason-fourier analysis.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Fully-connected network on noncompact symmetric space and ridgelet transform based on helgason-fourier analysis

Reference 99

Resolution
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raw_fallback, observed 2026-08-07T15:01:16.529948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:10.299219Z digest=sha256:b99dada59d5c71a28c048fd5697f087b7542b3ed72195651df0f234f54fe3e62

Observation ebe1205f-3a29-492c-ac2e-54d734751d08 · outbound

This paper cites Sra and R.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Sra and R

Reference 100

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raw_fallback, observed 2026-08-07T15:01:16.301052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:01:10.369356Z digest=sha256:53fe4a4048b8385d062f28891ded4d0e171a8aa180ebd2d5f0cb1f8afa8b546f

Pith citing papers

Observation eba555f0-eb6c-4165-84cd-2c33e5efc4da · inbound

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives cites this paper.

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 9

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unresolved
no resolver link, observed 2026-08-04T17:01:57.015490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:01:57.015490Z digest=sha256:9006e099d9387e8e36bbf9423d331df84d4121d99a3e1deb78e9c3d0b3b40c1b

Observation 9a433c0b-7ea7-456a-83ed-d3292ef9bab3 · inbound

Minimal enclosing balls via geodesics cites this paper.

Minimal enclosing balls via geodesics Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-15T10:10:26.235367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-15T10:10:15.087893Z digest=sha256:5bd24b2d305b5b3738672fc4cdb2004eadf0b682bf3b72b3f46600387262aa24

Observation 671a7967-92a6-4c4f-a0ba-b22ebc0612f9 · inbound

1-Lipschitz Neural Networks on Hadamard Manifolds cites this paper.

1-Lipschitz Neural Networks on Hadamard Manifolds Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 28

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unresolved
no resolver link, observed 2026-08-01T12:55:37.594793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T12:55:37.594793Z digest=sha256:c8cf4cab4c43a4458f78090cf068b4bf1e8d8697629f1d80ad0878eb8298f38c

Observation 38a86400-3b32-4646-a848-25fa29147e4c · inbound

1-Lipschitz Neural Networks on Hadamard Manifolds cites this paper.

1-Lipschitz Neural Networks on Hadamard Manifolds Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 28

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unresolved
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The Blessing and Curse of Curvature in Higher-Order Optimization: Horospherical versus Geodesic Convexity cites this paper.

The Blessing and Curse of Curvature in Higher-Order Optimization: Horospherical versus Geodesic Convexity Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

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