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Paper Citation Record · LEDGER

Decentralised convex optimisation with probability-proportional-to-size quantization

As of 20 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2501.18312.

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pith.paper-citation-record.v1
2501.18312 v1

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measured 48 of 48 reference resolution

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Reference resolution

48 of 48 outbound references displayed

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Outbound references

Observation 0abebf80-b577-4196-9bf9-a023a6a346dc · outbound

This paper cites Barycenters in the wasserstein space.

Decentralised convex optimisation with probability-proportional-to-size quantization Barycenters in the wasserstein space

Reference 1

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Observation 7fb56127-8838-4862-9bb5-dbaac5642278 · outbound

This paper cites Optimal Gradient Compression for Distributed and Federated Learning.

Decentralised convex optimisation with probability-proportional-to-size quantization Optimal Gradient Compression for Distributed and Federated Learning

Reference 2

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Observation 5fe8a3b8-db53-430b-90ae-2e2e4bb29c86 · outbound

This paper cites The convergence of sparsified gradient methods.

Decentralised convex optimisation with probability-proportional-to-size quantization The convergence of sparsified gradient methods

Reference 3

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Observation c1cc28bc-8544-4344-9557-f572e56c40e6 · outbound

This paper cites Eigenvalues of the laplacian of a graph.Linear and multilinear algebra, 18(2):141–145, 1985.

Decentralised convex optimisation with probability-proportional-to-size quantization Eigenvalues of the laplacian of a graph.Linear and multilinear algebra, 18(2):141–145, 1985

Reference 4

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Observation 518efe21-434d-4dd6-af81-b8918affb170 · outbound

This paper cites Wasserstein GAN.

Decentralised convex optimisation with probability-proportional-to-size quantization Wasserstein GAN

Reference 5

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Observation 9c6c33e8-6947-4b0f-b744-cc7fa734f088 · outbound

This paper cites Averaging Atmospheric Gas Concentration Data using Wasserstein Barycenters.

Decentralised convex optimisation with probability-proportional-to-size quantization Averaging Atmospheric Gas Concentration Data using Wasserstein Barycenters

Reference 6

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Observation 68a649da-7a04-4e00-93a6-2f720685360f · outbound

This paper cites Dis- tribution’s template estimate with wasserstein metrics.Bernoulli, 21(2): 740–759, 2015.

Decentralised convex optimisation with probability-proportional-to-size quantization Dis- tribution’s template estimate with wasserstein metrics.Bernoulli, 21(2): 740–759, 2015

Reference 7

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Observation 490c4ef2-de48-4a8f-860d-eea1accaaa96 · outbound

This paper cites An lp-based, strongly-polynomial 2-approximation algorithm for sparse wasserstein barycenters.Operational Research, pages 1–41, 2020.

Decentralised convex optimisation with probability-proportional-to-size quantization An lp-based, strongly-polynomial 2-approximation algorithm for sparse wasserstein barycenters.Operational Research, pages 1–41, 2020

Reference 8

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Observation 3ed405f7-345c-4b76-8efe-02a2e77dde35 · outbound

This paper cites On the Computational Complexity of Finding a Sparse Wasserstein Barycenter.

Decentralised convex optimisation with probability-proportional-to-size quantization On the Computational Complexity of Finding a Sparse Wasserstein Barycenter

Reference 9

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Observation c98df8aa-9a0d-4c69-9f4d-6f2575ac684a · outbound

This paper cites Primal heuristics for wasserstein barycenters.

Decentralised convex optimisation with probability-proportional-to-size quantization Primal heuristics for wasserstein barycenters

Reference 10

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Observation f4bf1f36-0e8c-4691-89c9-76506680d796 · outbound

This paper cites On the ergodic convergence rates of a first-order primal–dual algorithm.Mathematical Programming, 159 (1):253–287, 2016.

Decentralised convex optimisation with probability-proportional-to-size quantization On the ergodic convergence rates of a first-order primal–dual algorithm.Mathematical Programming, 159 (1):253–287, 2016

Reference 11

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Observation e54b8d58-8f31-4215-a9a8-8feea31f55b7 · outbound

This paper cites Fair Regression with Wasserstein Barycenters.

Decentralised convex optimisation with probability-proportional-to-size quantization Fair Regression with Wasserstein Barycenters

Reference 12

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Observation 4af431ac-4d42-4e46-90cb-a97ad6f53462 · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

Decentralised convex optimisation with probability-proportional-to-size quantization Sinkhorn distances: Lightspeed computation of optimal transport

Reference 13

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Observation 36986517-6599-44d9-83eb-e52109407cde · outbound

This paper cites The mnist database of handwritten digit images for machine learning research.

Decentralised convex optimisation with probability-proportional-to-size quantization The mnist database of handwritten digit images for machine learning research

Reference 14

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Observation 45c08e65-fbac-45b2-b990-9fcb14f8cc90 · outbound

This paper cites Stochastic first order methods in smooth convex optimization.

Decentralised convex optimisation with probability-proportional-to-size quantization Stochastic first order methods in smooth convex optimization

Reference 15

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Observation 17f62445-b88b-41dd-a7ff-83a2c0aa9716 · outbound

This paper cites Decentralized algorithms for wasserstein barycenters.

Decentralised convex optimisation with probability-proportional-to-size quantization Decentralized algorithms for wasserstein barycenters

Reference 16

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Observation 554711d9-e9e0-45d5-8f04-47ffeac08ba9 · outbound

This paper cites Decentralize and randomize: Faster algorithm for wasserstein barycenters.Advances in Neural Information Processing Systems, 31, 2018.

Decentralised convex optimisation with probability-proportional-to-size quantization Decentralize and randomize: Faster algorithm for wasserstein barycenters.Advances in Neural Information Processing Systems, 31, 2018

Reference 17

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Observation 6136e075-bba8-4233-a4de-02561009d43f · outbound

This paper cites Construction of Non-asymptotic Confidence Sets in 2-Wasserstein Space.

Decentralised convex optimisation with probability-proportional-to-size quantization Construction of Non-asymptotic Confidence Sets in 2-Wasserstein Space

Reference 18

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Observation 132f3331-7216-4b99-a223-23c3835483ee · outbound

This paper cites Algebraic connectivity of graphs.Czechoslovak mathe- matical journal, 23(2):298–305, 1973.

Decentralised convex optimisation with probability-proportional-to-size quantization Algebraic connectivity of graphs.Czechoslovak mathe- matical journal, 23(2):298–305, 1973

Reference 19

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Observation b6d50efa-b90a-49c3-8091-a18ec83385d0 · outbound

This paper cites Universal method for stochastic composite optimization problems.Computational Mathe- matics and Mathematical Physics, 58:48–64, 2018.

Decentralised convex optimisation with probability-proportional-to-size quantization Universal method for stochastic composite optimization problems.Computational Mathe- matics and Mathematical Physics, 58:48–64, 2018

Reference 20

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Observation c7f0b915-680a-407f-bbf8-59bb211877c3 · outbound

This paper cites Efficient numerical methods for entropy- linear programming problems.Computational Mathematics and Mathe- matical Physics, 56:514–524, 2016.

Decentralised convex optimisation with probability-proportional-to-size quantization Efficient numerical methods for entropy- linear programming problems.Computational Mathematics and Mathe- matical Physics, 56:514–524, 2016

Reference 21

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Observation 198b7459-d12f-453a-8084-cfbe73e07e18 · outbound

This paper cites Stochas- tic optimization for large-scale optimal transport.Advances in neural information processing systems, 29, 2016.

Decentralised convex optimisation with probability-proportional-to-size quantization Stochas- tic optimization for large-scale optimal transport.Advances in neural information processing systems, 29, 2016

Reference 22

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Observation 58ad7544-6952-41b1-808c-b2ffdf10646a · outbound

This paper cites Optimal Decentralized Distributed Algorithms for Stochastic Convex Optimization.

Decentralised convex optimisation with probability-proportional-to-size quantization Optimal Decentralized Distributed Algorithms for Stochastic Convex Optimization

Reference 23

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Observation 0a6902ec-ecb7-4771-b70c-ed1991beaa7d · outbound

This paper cites On a Combination of Alternating Minimization and Nesterov's Momentum.

Decentralised convex optimisation with probability-proportional-to-size quantization On a Combination of Alternating Minimization and Nesterov's Momentum

Reference 24

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Observation c7dd0844-66cb-4796-b99e-60dfd36ec93c · outbound

This paper cites Fast algorithms for compu- tational optimal transport and wasserstein barycenter.

Decentralised convex optimisation with probability-proportional-to-size quantization Fast algorithms for compu- tational optimal transport and wasserstein barycenter

Reference 25

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Observation 95cfd1b7-a301-415d-98ad-efdad47832b8 · outbound

This paper cites Natural compression for distributed deep learning.

Decentralised convex optimisation with probability-proportional-to-size quantization Natural compression for distributed deep learning

Reference 26

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Observation 7884a97b-32cc-41e9-9a6c-e3262fa0f721 · outbound

This paper cites Distributed Optimization with Quantization for Computing Wasserstein Barycenters.

Decentralised convex optimisation with probability-proportional-to-size quantization Distributed Optimization with Quantization for Computing Wasserstein Barycenters

Reference 27

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Observation 49612321-4485-402a-b7a9-ef0719a7c997 · outbound

This paper cites Communication-efficient algorithms for decentralized and stochastic optimization.Mathematical Programming, 180(1):237–284, 2020.

Decentralised convex optimisation with probability-proportional-to-size quantization Communication-efficient algorithms for decentralized and stochastic optimization.Mathematical Programming, 180(1):237–284, 2020

Reference 28

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Observation fac48d26-79c1-4209-9cfd-26406b55cd07 · outbound

This paper cites Acceleration for Compressed Gradient Descent in Distributed and Federated Optimization.

Decentralised convex optimisation with probability-proportional-to-size quantization Acceleration for Compressed Gradient Descent in Distributed and Federated Optimization

Reference 29

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Observation 084f0adc-32a3-4c0f-9a7b-80a4c303e37d · outbound

This paper cites On the Complexity of Approximating Multimarginal Optimal Transport.

Decentralised convex optimisation with probability-proportional-to-size quantization On the Complexity of Approximating Multimarginal Optimal Transport

Reference 30

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Observation f2fd0d59-0b9d-4bb7-87d4-1ff339bdbeaf · outbound

This paper cites Eigenvalues, diameter, and mean distance in graphs.

Decentralised convex optimisation with probability-proportional-to-size quantization Eigenvalues, diameter, and mean distance in graphs

Reference 31

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Observation b4bde746-4edc-4e10-943b-e6df7ec7c2e8 · outbound

This paper cites Springer Science & Business Media, 2013.

Decentralised convex optimisation with probability-proportional-to-size quantization Springer Science & Business Media, 2013

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Observation 49c2daeb-93f6-4562-a935-727295900ec6 · outbound

This paper cites Panaretos and Yoav Zemel.An Invitation to Statistics in Wasserstein Space: Fréchet Means in the Wasserstein Space W2, pages 59–74.

Decentralised convex optimisation with probability-proportional-to-size quantization Panaretos and Yoav Zemel.An Invitation to Statistics in Wasserstein Space: Fréchet Means in the Wasserstein Space W2, pages 59–74

Reference 33

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Observation 0abed48d-0e73-47d4-92d8-c6d27769476f · outbound

This paper cites The earth mover’s distance as a metric for image retrieval.International journal of computer vision, 40(2):99–121, 2000.

Decentralised convex optimisation with probability-proportional-to-size quantization The earth mover’s distance as a metric for image retrieval.International journal of computer vision, 40(2):99–121, 2000

Reference 34

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Observation 7e9b04f4-39fb-4d39-9924-0abc811479f7 · outbound

This paper cites Optimal algorithms for smooth and strongly convex distributed optimization in networks.

Decentralised convex optimisation with probability-proportional-to-size quantization Optimal algorithms for smooth and strongly convex distributed optimization in networks

Reference 35

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Observation 745a7fd3-61e2-4256-bc0e-e52808dd250a · outbound

This paper cites Optimal convergence rates for convex distributed optimization in networks.

Decentralised convex optimisation with probability-proportional-to-size quantization Optimal convergence rates for convex distributed optimization in networks

Reference 36

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Observation 9cc3345e-f4b6-4663-b197-fadadc6757b2 · outbound

This paper cites Barycenters of natural images con- strained wasserstein barycenters for image morphing.

Decentralised convex optimisation with probability-proportional-to-size quantization Barycenters of natural images con- strained wasserstein barycenters for image morphing

Reference 37

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Observation b171c602-525b-40c5-b4a3-03d6a0637950 · outbound

This paper cites Simou, D.

Decentralised convex optimisation with probability-proportional-to-size quantization Simou, D

Reference 38

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Observation 2c37b44f-997a-4d4e-866a-7496cdf666b6 · outbound

This paper cites Gradient Methods for Problems with Inexact Model of the Objective.

Decentralised convex optimisation with probability-proportional-to-size quantization Gradient Methods for Problems with Inexact Model of the Objective

Reference 39

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Observation 082c8788-074c-46f7-92b1-5c977f2dcee1 · outbound

This paper cites Stochastic Saddle-Point Optimization for Wasserstein Barycenters.

Decentralised convex optimisation with probability-proportional-to-size quantization Stochastic Saddle-Point Optimization for Wasserstein Barycenters

Reference 40

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local_arxiv, observed 2026-08-10T00:04:41.828820Z

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Observation 2fed29a3-9023-4d9e-9184-d50bd52fa3f4 · outbound

This paper cites an unresolved cited work.

Decentralised convex optimisation with probability-proportional-to-size quantization Unresolved cited work

Reference 41

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Observation a98952e8-3f63-4cc1-9df0-1bbf112d983e · outbound

This paper cites A dual approach for optimal algorithms in distributed optimization over networks.

Decentralised convex optimisation with probability-proportional-to-size quantization A dual approach for optimal algorithms in distributed optimization over networks

Reference 42

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source=pdf_text observed=2026-08-10T00:04:41.737656Z digest=sha256:2c311da2218a92230f40b1ba25cebeca357ac1fc7b7bb0cfaf3f3fbd112a6f22

Observation 929f02a2-ea7e-4ff9-bffc-38bc994bef98 · outbound

This paper cites Cambridge university press, 2018.

Decentralised convex optimisation with probability-proportional-to-size quantization Cambridge university press, 2018

Reference 43

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source=pdf_text observed=2026-08-10T00:04:41.741701Z digest=sha256:41ada2c1f795f4dbd1e43e399d056fea591839fb64e23a11a5587f972a117a07

Observation 9d3d41c5-febe-47c1-8b81-2f5749792e58 · outbound

This paper cites A fast proximal point method for computing exact wasserstein distance.

Decentralised convex optimisation with probability-proportional-to-size quantization A fast proximal point method for computing exact wasserstein distance

Reference 44

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Observation 53cbe4b3-a04f-4991-a5ce-6cd37d08d16d · outbound

This paper cites Accelerated primal-dual algorithms for distributed smooth convex optimization over networks.

Decentralised convex optimisation with probability-proportional-to-size quantization Accelerated primal-dual algorithms for distributed smooth convex optimization over networks

Reference 45

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Observation a2ad7180-a5ef-4a1e-bca9-8b846af91417 · outbound

This paper cites an unresolved cited work.

Decentralised convex optimisation with probability-proportional-to-size quantization Unresolved cited work

Reference 47

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source=pdf_text observed=2026-08-10T00:04:41.753979Z digest=sha256:a62e7adca2a4ca2673b06dc197a360745b71f1c7578027971b3b259555f0db8e

Observation 12078358-88f2-4c52-aa4a-beddd6e2de54 · outbound

This paper cites an unresolved cited work.

Decentralised convex optimisation with probability-proportional-to-size quantization Unresolved cited work

Reference 48

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unresolved
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source=pdf_text observed=2026-08-10T00:04:41.758269Z digest=sha256:1b2d074f56df9670a73c1cd9741bd43440cc97557114cb2d33f09d3a38546154

Observation 3b33b8cd-e978-47d6-9a60-4438525f8162 · outbound

This paper cites Multimarginal Optimal Transport by Accelerated Alternating Minimization.

Decentralised convex optimisation with probability-proportional-to-size quantization Multimarginal Optimal Transport by Accelerated Alternating Minimization

Reference 2020

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source=pdf_text observed=2026-08-10T00:04:41.733656Z digest=sha256:36d331b2f2d90f45a3aa84f450f04d009c466737a6ee3128e60fc9145939a0c6

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