Paper Citation Record · LEDGER

A Generalized Energy-Based Adaptive Gradient Method for Optimization

As of 17 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2512.13537.

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

pith.paper-citation-record.v1
2512.13537 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:43:27.578221Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

27 of 27 outbound references displayed

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unresolved27
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External citation measurements

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Outbound references

Observation 73a9e4aa-8df3-4186-b862-31d59fd301f6 · outbound

This paper cites AEGD: adaptive gradient descent with energy.Numerical Algebra, Control and Optimization, 15(2):315–340, 2025.

A Generalized Energy-Based Adaptive Gradient Method for Optimization AEGD: adaptive gradient descent with energy.Numerical Algebra, Control and Optimization, 15(2):315–340, 2025

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:24.844640Z

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Observation a9d5cf7d-41bb-4582-a4b3-50df6d1037b7 · outbound

This paper cites Springer US, 2004.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Springer US, 2004

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:24.888061Z

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Observation 3c7bc10c-1239-4963-ad62-b141355fd0ca · outbound

This paper cites Duchi, Oliver Hinder, and Aaron Sidford.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Duchi, Oliver Hinder, and Aaron Sidford

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:24.969645Z

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Observation 4198dba5-ccd4-4c6c-950e-717269ebed06 · outbound

This paper cites Adaptive subgradient methods for online learning and stochastic optimization.Journal of Machine Learning Research, 12(61):2121–2159, 2011.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Adaptive subgradient methods for online learning and stochastic optimization.Journal of Machine Learning Research, 12(61):2121–2159, 2011

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.061961Z

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Observation 10e6d1cd-f27f-4e31-88d6-e15116c66e2a · outbound

This paper cites Neural networks for machine learning: lecture 6a overview of mini-batch gradient descent.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Neural networks for machine learning: lecture 6a overview of mini-batch gradient descent

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.130727Z

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Observation e7b90a3f-9ce2-4fda-8e1b-9f68dfc7a6d9 · outbound

This paper cites Kingma and Jimmy L.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Kingma and Jimmy L

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.212750Z

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Observation 8e025a15-eba7-46ab-a4ab-5eeac8b2f4e7 · outbound

This paper cites On the convergence of Adam and Beyond.International Conference on Learning Representations, 2018.

A Generalized Energy-Based Adaptive Gradient Method for Optimization On the convergence of Adam and Beyond.International Conference on Learning Representations, 2018

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.273615Z

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Observation 5c8084b1-f80d-4720-95b3-f38d9f7e2f5d · outbound

This paper cites Reddi, Devendra Sachan, Satyen Kale, and Sanjiv Kumar.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Reddi, Devendra Sachan, Satyen Kale, and Sanjiv Kumar

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.351361Z

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Observation 7df28e40-6015-4250-bdee-24cb2dee4726 · outbound

This paper cites Private empirical risk minimization: efficient algorithms and tight error bounds.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Private empirical risk minimization: efficient algorithms and tight error bounds

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.466890Z

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Observation 28ce4452-38fc-48b9-a47e-30023808e10f · outbound

This paper cites Adaptive gradient methods with dynamic bound of learning rate.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Adaptive gradient methods with dynamic bound of learning rate

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.552907Z

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Observation a0e9c371-76b6-41de-baa6-22bdbe102147 · outbound

This paper cites an unresolved cited work.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.637671Z

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Observation 8fc0c6ec-c29b-4c21-9768-7d52d1ff5778 · outbound

This paper cites An adaptive gradient method with energy and momentum.Annals of Applied Mathematics, 38(2):183–222, 2022.

A Generalized Energy-Based Adaptive Gradient Method for Optimization An adaptive gradient method with energy and momentum.Annals of Applied Mathematics, 38(2):183–222, 2022

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.722490Z

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Observation 5fc26e3a-a1a8-4aa5-b208-0ae55c1c0369 · outbound

This paper cites Anderson acceleration of gradient methods with energy for optimiza- tion problems.Communications on Applied Mathematics and Computation, 6(2):1299–1318, 2024.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Anderson acceleration of gradient methods with energy for optimiza- tion problems.Communications on Applied Mathematics and Computation, 6(2):1299–1318, 2024

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.830552Z

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Observation e07f2453-1610-4c35-b838-e64f3a304c98 · outbound

This paper cites Adaptive preconditioned gradient descent with energy.Communications in Mathematical Sciences, 23(5), 2025.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Adaptive preconditioned gradient descent with energy.Communications in Mathematical Sciences, 23(5), 2025

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:25.925444Z

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Observation 0e25d55f-6513-45e4-8d4f-12996d0c2858 · outbound

This paper cites an unresolved cited work.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.070483Z

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Observation 72885be5-faf8-4de8-b165-d6aae002fef7 · outbound

This paper cites Linear convergence of gradient and proximal-gradient methods under the Polyak- Lojasiewicz condition.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Linear convergence of gradient and proximal-gradient methods under the Polyak- Lojasiewicz condition

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.122075Z

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Observation e08fbb37-f3cd-41e9-b4c2-b460b9726014 · outbound

This paper cites Sur la g´ eom´ etrie semi- et sous- analytique.Annales de l’institut Fourier, 43(5):1575–1595, 1993.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Sur la g´ eom´ etrie semi- et sous- analytique.Annales de l’institut Fourier, 43(5):1575–1595, 1993

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.300117Z

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Observation c00abebf-9542-4cb7-8dae-165a9eb3157e · outbound

This paper cites On the lower bound of minimizing Polyak- Lojasiewicz functions.

A Generalized Energy-Based Adaptive Gradient Method for Optimization On the lower bound of minimizing Polyak- Lojasiewicz functions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.457645Z

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Observation fcb043cb-71d4-4664-b748-4521c1e9dad8 · outbound

This paper cites An alternating optimization method for bilevel problems under the Polyak- Lojasiewicz condition.Advances in Neural Information Processing Systems, 36:63847–63873, 2023.

A Generalized Energy-Based Adaptive Gradient Method for Optimization An alternating optimization method for bilevel problems under the Polyak- Lojasiewicz condition.Advances in Neural Information Processing Systems, 36:63847–63873, 2023

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.655528Z

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Observation e9bf1086-6a33-4e80-a2c5-b050ce0c7830 · outbound

This paper cites Foster, Ayush Sekhari, and Karthik Sridharan.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Foster, Ayush Sekhari, and Karthik Sridharan

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.771298Z

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Observation bed664b8-46ba-4d1a-a495-67868d65f56e · outbound

This paper cites an unresolved cited work.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.894268Z

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Observation dada2e87-f4e3-41d0-9c09-70e16b3e8907 · outbound

This paper cites On exponential convergence of SGD in non-convex over-parametrized learning.

A Generalized Energy-Based Adaptive Gradient Method for Optimization On exponential convergence of SGD in non-convex over-parametrized learning

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:26.986249Z

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Observation 7bc6e91e-6a28-42f6-9dfe-2200df7192cb · outbound

This paper cites Loss landscapes and optimization in over-parameterized non-linear systems and neural networks.Applied and Computational Harmonic Analysis, 59:85–116, 2022.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Loss landscapes and optimization in over-parameterized non-linear systems and neural networks.Applied and Computational Harmonic Analysis, 59:85–116, 2022

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:27.130794Z

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Observation 79d57989-cf01-4627-8c62-edf73904bc4f · outbound

This paper cites Convergence rates of non-convex stochastic gradient descent under a generic Lojasiewicz condition and local smoothness.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Convergence rates of non-convex stochastic gradient descent under a generic Lojasiewicz condition and local smoothness

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:27.305963Z

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Observation 4f4da761-a021-4578-8ee4-4d86eaf6913b · outbound

This paper cites Lee, Ioannis Panageas, Georgios Piliouras, Max Simchowitz, Michael I.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Lee, Ioannis Panageas, Georgios Piliouras, Max Simchowitz, Michael I

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:27.417439Z

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Observation 0213a17e-02d8-4569-ae27-b549d39f8277 · outbound

This paper cites an unresolved cited work.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:27.526171Z

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Observation 6af7c658-4f7b-4cf3-a017-96a432d2f824 · outbound

This paper cites Kakade, and Michael I.

A Generalized Energy-Based Adaptive Gradient Method for Optimization Kakade, and Michael I

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T06:43:27.578221Z

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Pith citing papers

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