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Paper Citation Record · LEDGER

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation

As of 8 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.14479.

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

pith.paper-citation-record.v1
2507.14479 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:12:08.589422Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a560cc1b-cc96-4aaa-9452-6f540644c607 · outbound

This paper cites Lower bounds for non-convex stochastic optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Lower bounds for non-convex stochastic optimization

Reference 1

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Observation 539e3140-8f3d-4697-82b4-1f4243111f5f · outbound

This paper cites Fixed-point algorithms for inverse problems in science and engineering , volume 49.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Fixed-point algorithms for inverse problems in science and engineering , volume 49

Reference 2

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Observation 3773ff04-eb07-4abf-b182-44b4d098ca6e · outbound

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

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 3

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Observation 686a8dcc-b5b9-4c52-a7fb-0062071aebb5 · outbound

This paper cites Adaptive sampling strategies for risk-averse stochastic optimization with constraints.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Adaptive sampling strategies for risk-averse stochastic optimization with constraints

Reference 4

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Observation d8e92fc2-dd7b-4fd4-a682-449c5e796a17 · outbound

This paper cites Convex optimization algorithms.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Convex optimization algorithms

Reference 5

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Source-reported events for the cited work

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Observation d0de0dc3-46dc-4197-a0c2-0314730dd094 · outbound

This paper cites Adaptive sampling strategies for stochastic optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Adaptive sampling strategies for stochastic optimization

Reference 6

Resolution
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Source-reported events for the cited work

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Observation 0a61f800-7e12-4262-8428-2de682ce672f · outbound

This paper cites Inertial variable metric tech- niques for the inexact forward–backward algorithm.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Inertial variable metric tech- niques for the inexact forward–backward algorithm

Reference 7

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Source-reported events for the cited work

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Observation 82748300-4cc5-49f4-a960-8f76b5099ea3 · outbound

This paper cites Sample size selection in optimization methods for machine learning.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Sample size selection in optimization methods for machine learning

Reference 8

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Source-reported events for the cited work

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Observation 90f32612-7d36-443a-a2e4-85f48d6df01a · outbound

This paper cites Lower bounds for finding stationary points i.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Lower bounds for finding stationary points i

Reference 9

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Observation 556049b1-412f-4816-b462-90d9adcd74b5 · outbound

This paper cites Lower bounds for finding stationary points ii: first-order methods.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Lower bounds for finding stationary points ii: first-order methods

Reference 10

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Source-reported events for the cited work

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Observation 52a2494f-da95-4113-a3b4-325b4cba1e60 · outbound

This paper cites On the global convergence of trust region algorithms using inexact gradient information.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation On the global convergence of trust region algorithms using inexact gradient information

Reference 11

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Source-reported events for the cited work

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Observation 12f2661b-3e17-4a0f-9d54-4a2b094a44ba · outbound

This paper cites LIBSVM: A library for support vector machines.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation LIBSVM: A library for support vector machines

Reference 12

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Source-reported events for the cited work

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Observation 16e57dbd-e63d-407a-862a-ea542a14dec7 · outbound

This paper cites Graph-Structured Multi-task Regression and an Efficient Optimization Method for General Fused Lasso.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Graph-Structured Multi-task Regression and an Efficient Optimization Method for General Fused Lasso

Reference 13

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Source-reported events for the cited work

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Observation 46f38fc8-93e1-4f9f-a0e8-c613882163e5 · outbound

This paper cites Composite objective mirror descent.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Composite objective mirror descent

Reference 14

Resolution
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Source-reported events for the cited work

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Observation 63abf915-c7d6-4caa-8b17-e3da767288d0 · outbound

This paper cites Total variation projection with first order schemes.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Total variation projection with first order schemes

Reference 15

Resolution
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Source-reported events for the cited work

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Observation 1c2d886a-4a79-4a28-b14d-e58d36a8daa4 · outbound

This paper cites Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization i: A generic algorithmic framework.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization i: A generic algorithmic framework

Reference 16

Resolution
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Source-reported events for the cited work

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Observation 23cca260-dee0-4b4f-ab18-a162133bcfd5 · outbound

This paper cites Accelerated gradient methods for nonconvex nonlinear and stochastic programming.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Accelerated gradient methods for nonconvex nonlinear and stochastic programming

Reference 17

Resolution
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Source-reported events for the cited work

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Observation d2369d7d-eda1-44d3-8d07-06768a1e3409 · outbound

This paper cites Deblurring images: matrices, spectra, and filtering.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Deblurring images: matrices, spectra, and filtering

Reference 18

Resolution
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Source-reported events for the cited work

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Observation 4c77048d-7914-4ab2-9604-230201804fc9 · outbound

This paper cites Accelerated gradient methods for stochastic optimization and online learning.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Accelerated gradient methods for stochastic optimization and online learning

Reference 19

Resolution
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Source-reported events for the cited work

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Observation 530c7242-c4b4-4a80-ab7d-b8a01d69d1e1 · outbound

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

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Proximal stochastic methods for nonsmooth nonconvex finite-sum optimization

Reference 20

Resolution
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Source-reported events for the cited work

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Observation b3631ee6-3556-425a-afe4-be9c0b4e1f4d · outbound

This paper cites Smoothed variable sample-size accelerated proximal methods for nonsmooth stochastic convex programs.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Smoothed variable sample-size accelerated proximal methods for nonsmooth stochastic convex programs

Reference 21

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Source-reported events for the cited work

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Observation 498ff812-16f4-4d96-9688-f1f5109e5af2 · outbound

This paper cites Proximal meth- ods for sparse hierarchical dictionary learning.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Proximal meth- ods for sparse hierarchical dictionary learning

Reference 22

Resolution
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Source-reported events for the cited work

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Observation 25693dbe-e04b-45e9-84e3-edbcd09bf03e · outbound

This paper cites A generic acceleration framework for stochastic com- posite optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation A generic acceleration framework for stochastic com- posite optimization

Reference 23

Resolution
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Source-reported events for the cited work

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Observation 65efc038-b5de-4595-8e12-c2fa6fb4bdf4 · outbound

This paper cites An optimal method for stochastic composite optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation An optimal method for stochastic composite optimization

Reference 24

Resolution
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Source-reported events for the cited work

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Observation 02cdf4fd-4b7e-4c24-a8c9-9d00e5ae82b2 · outbound

This paper cites On the Convergence of FedAvg on Non-IID Data.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation On the Convergence of FedAvg on Non-IID Data

Reference 25

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Source-reported events for the cited work

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Observation b1a543aa-fc70-450e-9d46-4ee580d56781 · outbound

This paper cites A simple proximal stochastic gradient method for nonsmooth nonconvex optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation A simple proximal stochastic gradient method for nonsmooth nonconvex optimization

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 3f9cc921-34df-4d79-a739-c97f175cca9a · outbound

This paper cites Zeroth-order gradient and quasi-newton methods for nonsmooth nonconvex stochastic optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Zeroth-order gradient and quasi-newton methods for nonsmooth nonconvex stochastic optimization

Reference 27

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Source-reported events for the cited work

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Observation ac6f836f-df3b-49b3-b9c2-0db743d54606 · outbound

This paper cites Network newton distributed optimization methods.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Network newton distributed optimization methods

Reference 28

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Source-reported events for the cited work

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Observation 3a84a541-685a-412b-a4d0-dd901857da15 · outbound

This paper cites Gradient methods for minimizing composite functions.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Gradient methods for minimizing composite functions

Reference 29

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verified fuzzy
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Source-reported events for the cited work

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Observation 87fae0f0-6429-47eb-8d80-5437662b459c · outbound

This paper cites A method for unconstrained convex minimization problem with the rate of convergence o (1/k2).

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation A method for unconstrained convex minimization problem with the rate of convergence o (1/k2)

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7c918581-6a40-4ba8-a6ad-0cc5b17405f7 · outbound

This paper cites Lectures on convex optimization , volume 137.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Lectures on convex optimization , volume 137

Reference 31

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:12:06.667285Z digest=sha256:7bb8012b0415340cd6be72c9b3b91fc3204ee9bc8c9691b6237ae1c277feaaf1

Observation 3677e9bf-1c6d-4879-b32c-1c420f913b9d · outbound

This paper cites Stochastic ISTA/FISTA Adaptive Step Search Algorithms for Convex Composite Optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Stochastic ISTA/FISTA Adaptive Step Search Algorithms for Convex Composite Optimization

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 280ebcfc-e85c-4036-b722-96a1d56c7574 · outbound

This paper cites Fast Unconstrained Optimization via Hessian Averaging and Adaptive Gradient Sampling Methods.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Fast Unconstrained Optimization via Hessian Averaging and Adaptive Gradient Sampling Methods

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:12:09.026281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f9389878-b2f9-4842-9021-8e95bbfd231c · outbound

This paper cites Proxsarah: An efficient algorithmic framework for stochastic composite nonconvex optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Proxsarah: An efficient algorithmic framework for stochastic composite nonconvex optimization

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:11.520363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 829f6a09-138f-4e53-a84f-f7f287a3783e · outbound

This paper cites Scaled, inexact, and adaptive generalized fista for strongly convex optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Scaled, inexact, and adaptive generalized fista for strongly convex optimization

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:11.273406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:07.263989Z digest=sha256:0bdfc617ec64a62a65f9252205f6c855796e2d2113c181a445713ba0e7aac1b1

Observation f8376bfb-19d1-47a6-b940-d994716254b7 · outbound

This paper cites Fast first-order methods for composite con- vex optimization with backtracking.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Fast first-order methods for composite con- vex optimization with backtracking

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:11.044462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:07.366452Z digest=sha256:f695f9fd07e3e29c8f23857549a4b2a3236f1215d37befd639c1bcf7c7564019

Observation 0f4141f6-7655-417f-96a7-71f5e37c2419 · outbound

This paper cites Convergence rates of inexact proximal- gradient methods for convex optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Convergence rates of inexact proximal- gradient methods for convex optimization

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:10.884503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:07.484476Z digest=sha256:64a5073b1dd2554d9f6b91bb7acda9e3b70665ca95f1dae9c611f0f6c9fb0598

Observation 885336c7-c77b-41be-988b-c94c68a82cd7 · outbound

This paper cites Practical bayesian optimization of machine learning algorithms.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Practical bayesian optimization of machine learning algorithms

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T16:12:07.568408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:12:07.568408Z digest=sha256:20e92c4025a92f6716d5d5c9ec63fe443459e1569af8ff06f5a90dd7461e3600

Observation 9259dce0-ec2f-4e5d-b44f-55c64a6943be · outbound

This paper cites Convergence rates of accelerated proximal gradient algorithms under independent noise.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Convergence rates of accelerated proximal gradient algorithms under independent noise

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:10.605068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:07.650797Z digest=sha256:833b4ba458b234413fdc602299cb9d542ece05dc0b70acddb9231d9746734e31

Observation 3a6eccf2-2a75-4911-9f74-d653228ed81a · outbound

This paper cites Conditional convergence of infinite products.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Conditional convergence of infinite products

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:10.429418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:07.839179Z digest=sha256:d8267c1694cd72d13912adfaeb11bac7a27c8df12b43a4bb968f530dad06c0d7

Observation cbd4589e-6f75-4e67-adb0-302b575e005d · outbound

This paper cites Computational methods for sparse solution of linear inverse problems.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Computational methods for sparse solution of linear inverse problems

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T16:12:07.972251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:12:07.972251Z digest=sha256:f2365746682732c117bd0b7dc8aba344002555870c9fee0bd408fdf0922754e4

Observation bd906b24-1ef9-49c5-bbde-29b3a79159c1 · outbound

This paper cites an unresolved cited work.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:12:10.276600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:08.097762Z digest=sha256:5704950920ae012277a07516d3ea74a8dffaf44bdc9431aff9e16abc884ec9d0

Observation 4274457e-67e6-45bd-a73d-2e95a56e3f47 · outbound

This paper cites Constrained and com- posite optimization via adaptive sampling methods.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Constrained and com- posite optimization via adaptive sampling methods

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:10.038096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:08.205815Z digest=sha256:c6b43ab1c1fc80d01b4da7ca8d6299e58b11a3fe4c0c695072a528ad94e33be7

Observation 2aa7faa2-60a2-4783-8f8e-8454faac1bb2 · outbound

This paper cites Private Zeroth-Order Nonsmooth Nonconvex Optimization.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Private Zeroth-Order Nonsmooth Nonconvex Optimization

Reference 44

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T16:12:08.823184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:08.304151Z digest=sha256:812b3ca911982ccb514d51f62e93c5b455277c929c94696f4ef2195bee50e76b

Observation 774b13c2-8afd-4a07-a0c3-4dfc706cb9ed · outbound

This paper cites an unresolved cited work.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:12:09.741778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:08.477165Z digest=sha256:b265b5dda4a56b3109f560f332092f08fe86693eaf0c2b14f6eaf1f32b33b768

Observation 368b5e01-d52d-4739-a5ff-989efab808e6 · outbound

This paper cites Determin- istic.

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation Determin- istic

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:12:09.522303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:12:08.589422Z digest=sha256:24dca37d1e8da859f60b11eeb4e30028c130a80384206e40ee3aec34edae0a64

Pith citing papers

No inbound Pith citation observations are available.