Paper Citation Record · LEDGER

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction

As of 22 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.11468.

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

pith.paper-citation-record.v1
1908.11468 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:27:44.348835Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact2
verified fuzzy31
unresolved10
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54153e95-e849-402c-ad47-0c35b4ab5d22 · outbound

This paper cites Natasha: Faster non-convex stochastic optimization via strongly non- convex parameter.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Natasha: Faster non-convex stochastic optimization via strongly non- convex parameter

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:45.008663Z

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Observation 31fb92ac-d649-40af-8ed0-91632b4e4245 · outbound

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

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Natasha 2: Faster non-convex optimization than SGD

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.993260Z

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Observation 1bb9ffa9-aa8c-400b-800a-6554887244e8 · outbound

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

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Variance reduction for faster non-convex optimization

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.977879Z

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Observation b549ebe3-8a25-45c0-a147-3706bd46ca59 · outbound

This paper cites Improved SVRG for non-strongly-convex or sum-of-non- convex objectives.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Improved SVRG for non-strongly-convex or sum-of-non- convex objectives

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.962406Z

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Observation 2d2f9619-de81-41fc-9a19-67b4c5630417 · outbound

This paper cites First-Order Methods in Optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction First-Order Methods in Optimization

Reference 5

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Source-reported events for the cited work

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Observation c520e169-b92d-4f95-9862-8667ab3018d5 · outbound

This paper cites Unbiased Simulation for Optimizing Stochastic Function Compositions.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Unbiased Simulation for Optimizing Stochastic Function Compositions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T10:27:44.194146Z

Source-reported events for the cited work

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Observation 38c2e1a7-33d5-44d1-991c-1ed40cd16c8e · outbound

This paper cites Policy evaluation with temporal dif- ferences: a survey and comparison.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Policy evaluation with temporal dif- ferences: a survey and comparison

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.937791Z

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Observation ccba23fa-dde5-4fb0-a088-58e89c7f684c · outbound

This paper cites SAGA: A fast incremental gradient method with support for non-strongly convex composite objectives.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction SAGA: A fast incremental gradient method with support for non-strongly convex composite objectives

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.924348Z

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Observation dd029360-b753-4e94-b257-adbadfcd5697 · outbound

This paper cites Optimal distributed online prediction using mini-batches.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Optimal distributed online prediction using mini-batches

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.911073Z

Source-reported events for the cited work

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Observation c2d132c5-8ea9-4f93-a333-04a00d19e733 · outbound

This paper cites Statistical estimation of com- posite risk functionals and risk optimization problems.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Statistical estimation of com- posite risk functionals and risk optimization problems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.896821Z

Source-reported events for the cited work

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Observation e0f9ed1a-e839-4822-a138-38d458121777 · outbound

This paper cites an unresolved cited work.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Unresolved cited work

Reference 11

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Source-reported events for the cited work

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Observation bc7344c4-6cf0-4ccf-addf-e057e9046f88 · outbound

This paper cites Ermoliev.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Ermoliev

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.868469Z

Source-reported events for the cited work

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Observation 1300c7d5-82ad-4b3c-a1b3-38d6f13ced08 · outbound

This paper cites Spider: Near-optimal non-convex optimization via stochastic path-integrated diﬀerential estimator.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Spider: Near-optimal non-convex optimization via stochastic path-integrated diﬀerential estimator

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.854197Z

Source-reported events for the cited work

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Observation 53a13860-1b68-47ea-bef5-c36771c8976a · outbound

This paper cites Stochastic ﬁrst- and zeroth-order methods for nonconvex stochastic programming.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Stochastic ﬁrst- and zeroth-order methods for nonconvex stochastic programming

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.839718Z

Source-reported events for the cited work

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Observation a22539c9-3ca0-493c-9ce7-d428fc3ce614 · outbound

This paper cites A Single Time-Scale Stochastic Approximation Method for Nested Stochastic Optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction A Single Time-Scale Stochastic Approximation Method for Nested Stochastic Optimization

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:27:44.460136Z

Source-reported events for the cited work

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Observation 8def517f-c976-48a9-aea5-c78a98e11876 · outbound

This paper cites Accelerated method for stochastic composi- tion optimization with nonsmooth regularization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Accelerated method for stochastic composi- tion optimization with nonsmooth regularization

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.825307Z

Source-reported events for the cited work

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Observation ce0c7108-fc98-494e-89f9-c46b71cd82ad · outbound

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Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:27:44.810901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0b621f0b-ca11-4741-9637-0ca5ee9e8b6d · outbound

This paper cites Accelerating stochastic gradient descent using predictive vari- ance reduction.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Accelerating stochastic gradient descent using predictive vari- ance reduction

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.796432Z

Source-reported events for the cited work

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Observation 4cf83d3f-869e-49ab-8f96-1caa2e2f874d · outbound

This paper cites Koshal, A.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Koshal, A

Reference 19

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Source-reported events for the cited work

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Observation 7cdf86db-bfd0-4baf-871f-338ba779931a · outbound

This paper cites Finite-sum composition optimization via variance reduced gradient descent.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Finite-sum composition optimization via variance reduced gradient descent

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.769336Z

Source-reported events for the cited work

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Observation fb2890a7-a5da-4928-8d1e-674e70c2e626 · outbound

This paper cites Improved Sample Complexity for Stochastic Compositional Variance Reduced Gradient.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Improved Sample Complexity for Stochastic Compositional Variance Reduced Gradient

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:27:44.438237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0174f798-3a95-4ef2-8760-5e1dce96ece5 · outbound

This paper cites Gradient methods for minimizing composite functions.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Gradient methods for minimizing composite functions

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.755083Z

Source-reported events for the cited work

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Observation 206481f6-e8ee-44b5-840c-6ca68dadffbb · outbound

This paper cites Lectures on Convex Optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Lectures on Convex Optimization

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.738798Z

Source-reported events for the cited work

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Observation fe5eafe6-01f7-4275-801c-26a008bef9bf · outbound

This paper cites Nguyen, Jie Liu, Katya Scheinberg, and Martin Tak´ aˇ c.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Nguyen, Jie Liu, Katya Scheinberg, and Martin Tak´ aˇ c

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.724292Z

Source-reported events for the cited work

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Observation 709eaa51-404f-4798-8069-51d6fc24e9c2 · outbound

This paper cites Finite-Sum Smooth Optimization with SARAH.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Finite-Sum Smooth Optimization with SARAH

Reference 25

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Source-reported events for the cited work

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Observation 69704b07-3412-4757-a1fb-f4cdca8933db · outbound

This paper cites ProxSARAH: An Efficient Algorithmic Framework for Stochastic Composite Nonconvex Optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction ProxSARAH: An Efficient Algorithmic Framework for Stochastic Composite Nonconvex Optimization

Reference 26

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Source-reported events for the cited work

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Observation e129a3bb-b1b1-4f06-99fb-5e3f846ff208 · outbound

This paper cites Reddi, Ahmed Hefny, Suvrit Sra, Barnabas Poczos, and Alex Smola.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Reddi, Ahmed Hefny, Suvrit Sra, Barnabas Poczos, and Alex Smola

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.709009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 575da7ad-abed-4975-9116-d43357e1c15c · outbound

This paper cites Fast incremental method for smooth nonconvex optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Fast incremental method for smooth nonconvex optimization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.694087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b4462b89-7f2e-413d-8094-0baa23ecad39 · outbound

This paper cites Proximal stochastic methods for nonsmooth nonconvex ﬁnite-sum optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Proximal stochastic methods for nonsmooth nonconvex ﬁnite-sum optimization

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.679134Z

Source-reported events for the cited work

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Observation 20427cb8-f820-40fe-a846-101e9acf95c8 · outbound

This paper cites Tyrrell Rockafellar.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Tyrrell Rockafellar

Reference 30

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Source-reported events for the cited work

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Observation 15acabd7-82b5-40f3-b2ca-a8144c2be29e · outbound

This paper cites Tyrrell Rockafellar.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Tyrrell Rockafellar

Reference 31

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 06dd9018-3862-4d5d-99e5-ab1e7ffa3e8f · outbound

This paper cites Roux, Mark Schmidt, and Francis R.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Roux, Mark Schmidt, and Francis R

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.637765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d6584bfc-2257-4228-b195-4b98a625b69e · outbound

This paper cites Advances in risk-averse optimization.INFORMS TutORials in Operation Research, 2013.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Advances in risk-averse optimization.INFORMS TutORials in Operation Research, 2013

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.622953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9be7ae16-6450-4dac-bcce-622bf26a0da8 · outbound

This paper cites Reinforcement Learning: An Introduction.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Reinforcement Learning: An Introduction

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.607677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a45e6669-9ff8-49d9-9682-2b5f640103cb · outbound

This paper cites Stochastic compositional gradient descent: algo- rithms for minimizing compositions of expected-value functions.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Stochastic compositional gradient descent: algo- rithms for minimizing compositions of expected-value functions

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.593318Z

Source-reported events for the cited work

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Observation b6a965e0-befa-424b-bc8e-6263651edb31 · outbound

This paper cites Accelerating stochastic composition optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Accelerating stochastic composition optimization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.579280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d2713746-dec0-4c75-a474-891a3f6f132e · outbound

This paper cites SpiderBoost and Momentum: Faster Stochastic Variance Reduction Algorithms.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction SpiderBoost and Momentum: Faster Stochastic Variance Reduction Algorithms

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T10:27:44.325097Z

Source-reported events for the cited work

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Observation ae3ceb1a-7c95-49e6-a3e5-56cd356c564b · outbound

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

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction A proximal stochastic gradient method with progressive variance reduction

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T10:27:44.329382Z

Source-reported events for the cited work

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Observation d8f8b5af-bf70-47a9-b9d9-09938d65e83f · outbound

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Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:27:44.554085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8643c08c-67e4-48f0-80bd-5564e6f98948 · outbound

This paper cites Adversarial examples: Attacks and defenses for deep learning.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Adversarial examples: Attacks and defenses for deep learning

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.538829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 587f0600-d58b-42e8-b28f-aad540acf93e · outbound

This paper cites A composite randomized incremental gradient method.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction A composite randomized incremental gradient method

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.523642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2cc3c234-b457-44b1-a9dd-938b2bc73bd0 · outbound

This paper cites A stochastic composite gradient method with incremental variance reduction.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction A stochastic composite gradient method with incremental variance reduction

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.507307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6fe763aa-724c-4531-afb9-ffb90282bda7 · outbound

This paper cites Stochastic nested variance reduced gradient descent for nonconvex optimization.

Multi-Level Composite Stochastic Optimization via Nested Variance Reduction Stochastic nested variance reduced gradient descent for nonconvex optimization

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:27:44.491387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

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