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Paper Citation Record · LEDGER

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning

As of 16 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 1 inbound Pith citation observation for arXiv:2501.15941.

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pith.paper-citation-record.v1
2501.15941 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:18:31.851129Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T19:18:31.998128Z

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

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Outbound references

Observation 9e68bc43-b433-43d6-b937-0563dfcf9ddc · outbound

This paper cites Katyusha: The first direct acceleration of stochastic gradient methods.Journal of Machine Learning Research, 18(221):1–51, 2018.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Katyusha: The first direct acceleration of stochastic gradient methods.Journal of Machine Learning Research, 18(221):1–51, 2018

Reference 1

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Observation 1224008a-f5d0-4cf9-89fc-0a7aa8a469a1 · outbound

This paper cites Natasha 2: Faster non-convex optimization than sgd.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Natasha 2: Faster non-convex optimization than sgd

Reference 2

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Source-reported events for the cited work

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Observation 9c16467b-d449-4413-8613-deabfb14dc02 · outbound

This paper cites Optimal black-box reductions between optimization objectives.Advances in Neural Information Processing Systems, 29, 2016.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Optimal black-box reductions between optimization objectives.Advances in Neural Information Processing Systems, 29, 2016

Reference 3

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Observation cc1026ab-fa66-49d5-a663-6ac7477b17e0 · outbound

This paper cites Variance reduction for faster non-convex optimization.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Variance reduction for faster non-convex optimization

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c279e3a7-7a2e-400c-96ed-a985afb75044 · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 5

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Source-reported events for the cited work

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Observation c63d7874-ff72-41cb-ade2-0d2a6ce2e4e4 · outbound

This paper cites On the convergence of block coordinate descent type methods.SIAM Journal on Optimization, 23(4):2037–2060, 2013.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning On the convergence of block coordinate descent type methods.SIAM Journal on Optimization, 23(4):2037–2060, 2013

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fedc4dd7-bfb7-401a-904a-4073166c360e · outbound

This paper cites A multi-batch l-bfgs method for machine learning.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning A multi-batch l-bfgs method for machine learning

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 713fffb2-3b44-48b8-8635-b976fa3b3d06 · outbound

This paper cites Convergence rate analysis of a stochas- tic trust-region method via supermartingales.INFORMS Journal on Optimization, 1(2):92–119, 2019.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Convergence rate analysis of a stochas- tic trust-region method via supermartingales.INFORMS Journal on Optimization, 1(2):92–119, 2019

Reference 8

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Source-reported events for the cited work

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Observation 22f85712-26d5-46fe-b521-46d9b47762fc · outbound

This paper cites Exact and inexact subsampled Newton methods for optimization.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Exact and inexact subsampled Newton methods for optimization

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 61cb4b31-dcdf-456a-8339-9bc477327068 · outbound

This paper cites A progressive batching l-bfgs method for machine learning.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning A progressive batching l-bfgs method for machine learning

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6a97abc0-03f5-4b4f-b0a8-04c66c1b47d8 · outbound

This paper cites On the use of stochastic Hessian information in optimization methods for machine learning.SIAM Journal on Optimization, 21(3):977–995, 2011.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning On the use of stochastic Hessian information in optimization methods for machine learning.SIAM Journal on Optimization, 21(3):977–995, 2011

Reference 11

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Source-reported events for the cited work

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Observation 74f27e5e-1c97-41a7-a418-dee0b7e35c2f · outbound

This paper cites SAN: stochastic average Newton algo- rithm for minimizing finite sums.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning SAN: stochastic average Newton algo- rithm for minimizing finite sums

Reference 12

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Source-reported events for the cited work

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Observation a8674d4d-fa0f-4bd1-b42d-13348fbc2242 · outbound

This paper cites SAGA: A fast incremental gradient method with support for non-strongly convex composite objectives.Advances in Neural Information Processing Systems, 27, 2014.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning SAGA: A fast incremental gradient method with support for non-strongly convex composite objectives.Advances in Neural Information Processing Systems, 27, 2014

Reference 13

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Source-reported events for the cited work

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Observation 2715eccc-5dfd-47fb-8220-744734428a49 · outbound

This paper cites Stochastic variance-reduced newton: Accelerating finite-sum minimization with large batches.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Stochastic variance-reduced newton: Accelerating finite-sum minimization with large batches

Reference 14

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Source-reported events for the cited work

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Observation 5cb150ca-d708-4c86-ba45-178d415f9e19 · outbound

This paper cites Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method

Reference 15

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Source-reported events for the cited work

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Observation e72cfad6-039f-46b2-b7a5-d9399348f5eb · outbound

This paper cites Convergence rates of sub-sampled Newton methods.Advances in Neural Information Processing Systems, 28, 2015.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Convergence rates of sub-sampled Newton methods.Advances in Neural Information Processing Systems, 28, 2015

Reference 16

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Source-reported events for the cited work

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Observation 1794690a-1ffd-41c0-a251-44ee3ae25e3b · outbound

This paper cites Variable selection via nonconcave penalized likelihood and its oracle properties.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Variable selection via nonconcave penalized likelihood and its oracle properties

Reference 17

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Source-reported events for the cited work

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Observation 5a52081f-e3fe-46b0-8b2e-eed2ea3f37d5 · outbound

This paper cites CRONOS: Enhancing Deep Learning with Scalable GPU Accelerated Convex Neural Networks.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning CRONOS: Enhancing Deep Learning with Scalable GPU Accelerated Convex Neural Networks

Reference 18

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Source-reported events for the cited work

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Observation 822eb63e-a289-4d32-aa62-18d8d8647387 · outbound

This paper cites PROMISE: Preconditioned stochastic optimization methods by incorporating scalable curvature estimates.Journal of Machine Learning Research, 25(346):1–57, 2024.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning PROMISE: Preconditioned stochastic optimization methods by incorporating scalable curvature estimates.Journal of Machine Learning Research, 25(346):1–57, 2024

Reference 19

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Source-reported events for the cited work

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Observation 1fd93d12-03ee-42dd-b61a-d90503d5fcc2 · outbound

This paper cites Sketchysgd: reliable stochastic opti- mizationviarandomizedcurvatureestimates.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Sketchysgd: reliable stochastic opti- mizationviarandomizedcurvatureestimates

Reference 20

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Source-reported events for the cited work

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Observation 5f69db10-1215-4b35-bd3a-53337710b3cb · outbound

This paper cites Randomized nyström preconditioning.SIAM Journal on Matrix Analysis and Applications, 44(2):718–752, 2023.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Randomized nyström preconditioning.SIAM Journal on Matrix Analysis and Applications, 44(2):718–752, 2023

Reference 21

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Source-reported events for the cited work

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Observation 4c908ee3-d39c-4177-9948-03e4941da07a · outbound

This paper cites Second-order Information Promotes Mini-Batch Robustness in Variance-Reduced Gradients.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Second-order Information Promotes Mini-Batch Robustness in Variance-Reduced Gradients

Reference 22

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Source-reported events for the cited work

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Observation ba4d2879-b07c-48b0-ab45-4af6fa1944e2 · outbound

This paper cites RSN: Randomized Subspace Newton.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning RSN: Randomized Subspace Newton

Reference 23

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Source-reported events for the cited work

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Observation ede529d4-2645-4d74-a85d-4841c5b6987b · outbound

This paper cites SGD: General analysis and improved rates.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning SGD: General analysis and improved rates

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7fa19c2a-d7b5-4924-9835-75cf0372d76d · outbound

This paper cites Datamodels: Predicting predictions from training data.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Datamodels: Predicting predictions from training data

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4be55c71-9cf4-415c-8913-988f25c2c4e6 · outbound

This paper cites Proximal stochastic methods for nonsmooth nonconvex finite-sum optimization.Advances in Neural Information Processing Systems, 29, 2016.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Proximal stochastic methods for nonsmooth nonconvex finite-sum optimization.Advances in Neural Information Processing Systems, 29, 2016

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e6f395c3-0f08-460b-912d-e6209e411100 · outbound

This paper cites Accelerating stochastic gradient descent using predictive variance reduction.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Accelerating stochastic gradient descent using predictive variance reduction

Reference 27

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Source-reported events for the cited work

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Observation 6a56cc64-467c-4e83-9687-a37f2a8ef4c1 · outbound

This paper cites Global linear convergence of Newton's method without strong-convexity or Lipschitz gradients.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Global linear convergence of Newton's method without strong-convexity or Lipschitz gradients

Reference 28

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Source-reported events for the cited work

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Observation 0135f964-c441-4b5d-81f8-21056fa8d684 · outbound

This paper cites Sub-sampled cubic regularization for non-convex optimization.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Sub-sampled cubic regularization for non-convex optimization

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 783fbce7-b145-467a-8df4-08368436082d · outbound

This paper cites Do subsampled newton methods work for high-dimensional data? In Proceedings of the AAAI Conference on Artificial Intelligence, volume 34, pages 4723–4730, 2020.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Do subsampled newton methods work for high-dimensional data? In Proceedings of the AAAI Conference on Artificial Intelligence, volume 34, pages 4723–4730, 2020

Reference 30

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Source-reported events for the cited work

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Observation fb972571-9b01-42d3-941d-338c79783a82 · outbound

This paper cites On faster convergence of cyclic block coordinate descent-type methods for strongly convex minimization, 2017.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning On faster convergence of cyclic block coordinate descent-type methods for strongly convex minimization, 2017

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0a4d5d4f-1b7a-41c3-b0e5-630e59f65129 · outbound

This paper cites Activityidentificationandlocallinearconvergenceofforward– backward-type methods.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Activityidentificationandlocallinearconvergenceofforward– backward-type methods

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.083502Z digest=sha256:110ca51a43c4b1b335b2871c8a4cd839f023419e2c2b60bfdc258390b840bbf7

Observation e6845616-8400-4523-a9b1-4ec618387cfc · outbound

This paper cites Local convergence properties of douglas–rachford and al- ternating direction method of multipliers.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Local convergence properties of douglas–rachford and al- ternating direction method of multipliers

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.941034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.088003Z digest=sha256:256fb1b75c73be0fa4db9c4cd9a369bf6e57cc849f9483dc680177294b66783e

Observation e9d006e4-7d6b-4cb8-b83e-b7918f5def35 · outbound

This paper cites Catalyst acceleration for first-order convex optimization: from theory to practice.Journal of Machine Learning Research, 18(212):1–54, 2018.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Catalyst acceleration for first-order convex optimization: from theory to practice.Journal of Machine Learning Research, 18(212):1–54, 2018

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.926635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.093102Z digest=sha256:be3824019fdfcfa2e3304a923927a3e297ce48f8234811687f99f78108e37a94

Observation 4e58e66f-562d-40cc-bb98-5802f1bb168c · outbound

This paper cites Controlburn: Featureselectionbysparseforests.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Controlburn: Featureselectionbysparseforests

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.912116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.097604Z digest=sha256:9123a5d701cb85d2e87e1464d40cc879d01987ecc04eba6ffef1b33e062cc342

Observation 07316c28-6549-4716-94ac-e3e7b61e5f21 · outbound

This paper cites On the complexity analysis of randomized block-coordinate descent methods.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning On the complexity analysis of randomized block-coordinate descent methods

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.897910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.102490Z digest=sha256:bd51168dd5e1f7be45dca8706519d07b34203bc3d041144b8f64b61db4a5bfb7

Observation 4c72f6c6-f585-4445-8a1f-a027d88d71ea · outbound

This paper cites Fast and furious convergence: Stochastic second order methods under interpolation.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Fast and furious convergence: Stochastic second order methods under interpolation

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.882703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.106952Z digest=sha256:da80639238da73ce3d893805973ed17f57795fad770cdca0174c6424665bf9bb

Observation d0846b56-c4b7-498d-b61e-89d119a91f5f · outbound

This paper cites A linearly-convergent stochastic L-BFGS algorithm.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning A linearly-convergent stochastic L-BFGS algorithm

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.869081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.111302Z digest=sha256:234b70105687b4382935783ab37d304da56249f43c8006c299ec21565890f6d8

Observation 22e3fe70-4d12-4f0f-98b5-e4003f092352 · outbound

This paper cites Gradientmethodsforminimizingcompositefunctions.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Gradientmethodsforminimizingcompositefunctions

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.855148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.115644Z digest=sha256:b191ceae901e2dc559f52448892e239ecb075fd291a0babefc3a9e9c3203c487

Observation 5cc36bcc-b3fd-4a95-80d1-7a06b6045be3 · outbound

This paper cites Springer, 2018.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Springer, 2018

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.841251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.119916Z digest=sha256:bfb4652a315a92e770f16f2abeff47421089e011594dc8f75e33ee21d6605cf9

Observation c362cd41-337e-42bf-a6e0-d87d39967b4c · outbound

This paper cites Catalyst for gradient-based nonconvex optimization.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Catalyst for gradient-based nonconvex optimization

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.827780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.124598Z digest=sha256:3ad4a472397011355a42c39f0f121d5ab1ee5514d3ad56b215fb598766b9b7e5

Observation 88a5d890-cd2a-4cdf-91dd-9df99123ceff · outbound

This paper cites Neural networks are convex regularizers: Exact polynomial-time convex optimization formulations for two-layer networks.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Neural networks are convex regularizers: Exact polynomial-time convex optimization formulations for two-layer networks

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.814432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.129165Z digest=sha256:e446ddeda5b0653b9109c4ba70117aca88d8294748d9be46971e05fc64f9ac8a

Observation e1faad9a-185a-405a-94a1-4588e97e2b2d · outbound

This paper cites Newton sketch: A near linear-time optimization algorithm with linear-quadratic convergence.SIAM Journal on Optimization, 27(1):205–245, 2017.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Newton sketch: A near linear-time optimization algorithm with linear-quadratic convergence.SIAM Journal on Optimization, 27(1):205–245, 2017

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.800541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.133671Z digest=sha256:fe2eb8c1ff293cdd0b7f7284569f2acc2cf2112ba86f3ccb0d06bf538627327c

Observation 51e4e687-5d3e-4e42-a322-fc59cb419350 · outbound

This paper cites Local convergence properties of saga/prox-svrg and acceleration.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Local convergence properties of saga/prox-svrg and acceleration

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.786940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.250069Z digest=sha256:69711e40b286432ba2e3862219e78c5f612e19f736873bc2fdc27551b02ad539

Observation 9b28f786-59b8-4c7f-be47-32f69906d738 · outbound

This paper cites Challenges in Training PINNs: A Loss Landscape Perspective.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Challenges in Training PINNs: A Loss Landscape Perspective

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T13:56:23.255190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T13:56:23.255190Z digest=sha256:75f0a0636c253283f53e63e5ab25f170445c0708257779f989c746813e944b18

Observation 1358ea6c-7ea6-49c7-8c7f-f4dcfe89a032 · outbound

This paper cites Stochastic variance reduction for nonconvex optimization.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Stochastic variance reduction for nonconvex optimization

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.772703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.260357Z digest=sha256:4c98ba1646b20ee39c8f50cd8201f92d528a402af5830d2199f5cc25847df3f0

Observation 51fb3acd-5891-4c99-886c-03018d6f9d5b · outbound

This paper cites Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function.Mathematical Programming, 144(1):1–38, 2014.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function.Mathematical Programming, 144(1):1–38, 2014

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.758247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.265524Z digest=sha256:0e053a63f0243760571419885ffa7e03b643748847144f49503061af2d4e2322

Observation bee0719c-9b9c-4bd5-856c-b3572903ea0a · outbound

This paper cites Newton-mr: Inexact Newton method with minimum residual sub-problem solver.EURO Journal on Computational Optimization, 10:100035, 2022.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Newton-mr: Inexact Newton method with minimum residual sub-problem solver.EURO Journal on Computational Optimization, 10:100035, 2022

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.744341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.270083Z digest=sha256:99abc7e3b4f4deff7ab904a1b73e4111f701172ba41cbb57480a95d6f9580f45

Observation 6a3f4a9c-42e1-4a0a-8ecb-7cbed142ca58 · outbound

This paper cites Sub-sampled Newton methods.Mathematical Program- ming, 174(1):293–326, 2019.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Sub-sampled Newton methods.Mathematical Program- ming, 174(1):293–326, 2019

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.730311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.274571Z digest=sha256:a290e969285c94a35889319e31518ce506997f3da72b60546f22a0a7ddd4c86d

Observation 4b149ffe-ce9a-4b84-aed7-db6547ff494a · outbound

This paper cites Are we there yet? manifold identification of gradient-related proximal methods.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Are we there yet? manifold identification of gradient-related proximal methods

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.716546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.279228Z digest=sha256:eb7a1cb72e914b5ea6968fb543c48cc4d9cb1a4accc18387aa88c52b184e8014

Observation 461a9f56-d897-48d4-97df-346762fd0c1a · outbound

This paper cites Stochastic cubic regular- ization for fast nonconvex optimization.Advances in Neural Information Processing Systems, 31, 2018.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Stochastic cubic regular- ization for fast nonconvex optimization.Advances in Neural Information Processing Systems, 31, 2018

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.702816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.283569Z digest=sha256:ad08d869d42dbfbad866760bd70a73c11f7cda60422df29a0b2fd4814a864c7c

Observation 4ea55321-1ea8-45d4-9230-6285a5f6301b · outbound

This paper cites Fixed-rank approximation of a positive- semidefinite matrix from streaming data.Advances in Neural Information Processing Systems, 30, 2017.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Fixed-rank approximation of a positive- semidefinite matrix from streaming data.Advances in Neural Information Processing Systems, 30, 2017

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.688095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.288490Z digest=sha256:2ffea6f3fb9ae7f4c9003994aeccc80e63aa286b1690dc5e96d155e8d1b5b9cc

Observation ff7f042c-43b3-419a-a9b6-b0760c0fb73d · outbound

This paper cites Fixed-rank approximation of a positive- semidefinite matrix from streaming data.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Fixed-rank approximation of a positive- semidefinite matrix from streaming data

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.673685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.293208Z digest=sha256:a95729af7b942653714532452b79cec5175a396f3d632945fb6d31cbb54bb13e

Observation 3d11e5fc-25f6-46cd-8ea9-5351d33fb086 · outbound

This paper cites Utilizing second order information in minibatch stochastic variance reduced proximal iterations.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Utilizing second order information in minibatch stochastic variance reduced proximal iterations

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.659030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.297946Z digest=sha256:25d643bcff8988a5ee19d5a8cf5e752fc5378c79ea260fba1006001f8e5f454e

Observation 7ef791b8-4365-4611-a18a-cef1a3867b6c · outbound

This paper cites A proximal stochastic gradient method with progressive variance reduction.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning A proximal stochastic gradient method with progressive variance reduction

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.644556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.302517Z digest=sha256:dca8a37f8dc5bcf72dad61e2c602c09e1024c96147eecca1209544d105db3fa5

Observation d0fd77f3-eb6f-4161-8fd5-b16f2543c2d3 · outbound

This paper cites Newton-type methods for non-convex optimization under inexact Hessian information.Mathematical Programming, 184(1-2):35–70, 2020.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Newton-type methods for non-convex optimization under inexact Hessian information.Mathematical Programming, 184(1-2):35–70, 2020

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.630801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.307133Z digest=sha256:6c2fb727d8eba701fb1cf15997679e55fd1d72065739bb34ef8856cf9d37926c

Observation 908e22a2-c2a3-4c6f-b15e-51dd3b81a939 · outbound

This paper cites Inexact nonconvex Newton-type methods.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Inexact nonconvex Newton-type methods

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.615588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.311454Z digest=sha256:170fb7c1c5c83577f13f536578aa16e78bfd3f4463e6c0aa8fc7f3024dfcd8bc

Observation 4e49ec12-b3b7-4f03-8809-009a2e2a39ad · outbound

This paper cites Inexact newton-cg algo- rithms with complexity guarantees.IMA Journal of Numerical Analysis, 43(3):1855–1897, 2023.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Inexact newton-cg algo- rithms with complexity guarantees.IMA Journal of Numerical Analysis, 43(3):1855–1897, 2023

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.600862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.315955Z digest=sha256:13709d686819cf99e1a1ce5ca6b7977d2d5b04825faee0367b8601142cfc4102

Observation 74c18bc2-5817-4ba4-9fc6-10996659873d · outbound

This paper cites Approximate Newton methods.Journal of Machine Learning Research, 22(66):1–41, 2021.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Approximate Newton methods.Journal of Machine Learning Research, 22(66):1–41, 2021

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.586338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.320506Z digest=sha256:97e3c5a3f375e6e55b951e2bcc8d793110edc1627aa57f9b9c3ce9c60a380134

Observation f44818ec-c562-46fd-93f4-c1474ae4eec4 · outbound

This paper cites Sketched Newton–Raphson.SIAM Journal on Opti- mization, 32(3):1555–1583, 2022.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Sketched Newton–Raphson.SIAM Journal on Opti- mization, 32(3):1555–1583, 2022

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.571743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.325269Z digest=sha256:0f71347ba4b79d19a008f40821f60ec9deb4915fb7dd026688c382ab95ddcac9

Observation 72ce393e-48e7-497b-bfdc-7971da144e42 · outbound

This paper cites R 1 Sm S−1X s=0 mX k=1 ˆw(s) k ! − R(w⋆) # ≤ ∥w0 − w⋆∥2 P (0) 0 + (2η − η2) (R(w0) − R(w⋆)) . Rearranging, we find that E.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning R 1 Sm S−1X s=0 mX k=1 ˆw(s) k ! − R(w⋆) # ≤ ∥w0 − w⋆∥2 P (0) 0 + (2η − η2) (R(w0) − R(w⋆)) . Rearranging, we find that E

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:56:23.556937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.329821Z digest=sha256:5d09748dc84e0279e112cf1a11e7d44106cf05b254319e54b3e5643d4a028370

Observation f4810a62-46e3-42a4-a642-79798e660d90 · outbound

This paper cites an unresolved cited work.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:56:23.540583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.335284Z digest=sha256:ab0bda0c23a082877c7552f4effa815961b0a8e3adef4fc44e221adaafba05cd

Observation 61192d3f-d821-434e-aedd-8ce6ab668f65 · outbound

This paper cites an unresolved cited work.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:56:23.526213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.340108Z digest=sha256:3d9b4b034e223c4139bd11d4895cb708280a3ba5a888a8131158d4cf88cac973

Observation e39a1135-66c4-49f6-9d93-b2bb1e85618e · outbound

This paper cites an unresolved cited work.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:56:23.511748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T13:56:23.345369Z digest=sha256:a0c21ff632d69c9a6aeae8a9942b6aa22501e44bb6cffa63cf6741913bb11cb9

Observation d130616d-86fd-4db8-b97c-d05ea19e80e9 · outbound

This paper cites an unresolved cited work.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Unresolved cited work

Reference 65

Resolution
parse uncertain
raw_fallback, observed 2026-08-10T13:56:23.496927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b41cb540-f407-4c85-be96-85ca7897557d · outbound

This paper cites an unresolved cited work.

SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:56:23.482668Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

Observation 0c1c5c71-4d65-4f58-92fb-4223699b2253 · inbound

Faster Low-Rank Approximation and Kernel Ridge Regression via the Block-Nystr\"om Method cites this paper.

Faster Low-Rank Approximation and Kernel Ridge Regression via the Block-Nystr\"om Method SAPPHIRE: Preconditioned Stochastic Variance Reduction for Faster Large-Scale Statistical Learning

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-15T19:18:32.010058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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