Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization | Paper Citation Record

Observation bc4007b9-94fd-4db9-b83d-a5df44b78a0e · outbound

This paper cites On the Convergence Rate of Training Recurrent Neural Networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization On the Convergence Rate of Training Recurrent Neural Networks

Reference 1

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This paper cites Methods of Information Geometry, volume 191.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Methods of Information Geometry, volume 191

Reference 2

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This paper cites A convergence analysis of gradient descent for deep linear neural networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization A convergence analysis of gradient descent for deep linear neural networks

Reference 3

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Observation 4b818e5d-511f-4df9-ace1-cd0357d93ef1 · outbound

This paper cites On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization

Reference 4

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Observation 117dc5cb-5878-427d-8a09-233b58817d50 · outbound

This paper cites Spectrally-normalized margin bounds for neural networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Spectrally-normalized margin bounds for neural networks

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.793188Z

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Observation 8d59ac68-1717-4123-acc2-e28a04658faa · outbound

This paper cites Bertsekas.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Bertsekas

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.755300Z

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Observation 92648148-c87a-4102-8b4f-12900ca4c352 · outbound

This paper cites Concentration inequalities: A nonasymptotic theory of independence.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Concentration inequalities: A nonasymptotic theory of independence

Reference 7

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Observation 19c8f920-e962-4b4d-99fa-2103bba5fb0b · outbound

This paper cites SGD learns over- parameterized networks that provably generalize on linearly separable data.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization SGD learns over- parameterized networks that provably generalize on linearly separable data

Reference 8

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Observation 465c33fc-4e33-4b74-859f-ac9daee99651 · outbound

This paper cites Casella and R.L.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Casella and R.L

Reference 9

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Observation fc57bbef-a897-4ccc-8d46-c5aabb156747 · outbound

This paper cites Entropy-SGD: Biasing Gradient Descent Into Wide Valleys.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Entropy-SGD: Biasing Gradient Descent Into Wide Valleys

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.707991Z

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Observation ff24c706-2613-409c-a8d5-7ba88cca3ff2 · outbound

This paper cites Stochastic gradient descent performs variational inference, converges to limit cycles for deep networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Stochastic gradient descent performs variational inference, converges to limit cycles for deep networks

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.709889Z

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Observation ca2f48f0-1010-478d-9e47-caa97c586a3b · outbound

This paper cites Cover and Joy A.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Cover and Joy A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.716909Z

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Observation cb81ad0c-fc5f-4048-93e2-2229bf3c9082 · outbound

This paper cites Davis and W.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Davis and W

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.679936Z

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Observation cb68e3fc-68a6-4114-9303-3b96fd031706 · outbound

This paper cites Sharp Minima Can Generalize For Deep Nets.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Sharp Minima Can Generalize For Deep Nets

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.694482Z

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Observation 6ba52e70-8e63-4e1d-bd48-a0a425bcca72 · outbound

This paper cites Gradient descent ﬁnds global minima of deep neural networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Gradient descent ﬁnds global minima of deep neural networks

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.682248Z

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Observation 24a43e20-15ae-4786-87fc-76d6aadcccb9 · outbound

This paper cites Du, Jason D.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Du, Jason D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.689168Z

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Observation 046576bc-08c0-4012-8156-328b39602e66 · outbound

This paper cites Du, Xiyu Zhai, Barnabas Poczos, and Aarti Singh.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Du, Xiyu Zhai, Barnabas Poczos, and Aarti Singh

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.686919Z

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Observation 39d30f78-e33c-4153-b8b9-7744e4084aaf · outbound

This paper cites An overview on the evolution and adoption of deep learning applications used in the industry.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization An overview on the evolution and adoption of deep learning applications used in the industry

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.684619Z

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Observation 9a5d6a86-4d89-46b6-98fa-d4a213b1ed3d · outbound

This paper cites Ghadimi and G.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Ghadimi and G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.691241Z

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Observation 86bca39c-34b9-4637-97e5-cedb75163f21 · outbound

This paper cites An Investigation into Neural Net Optimization via Hessian Eigenvalue Density.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization An Investigation into Neural Net Optimization via Hessian Eigenvalue Density

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.733075Z

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Observation 3daa0bf2-0b61-404b-9afc-e7014b296a0c · outbound

This paper cites Golub and Charles F.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Golub and Charles F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.808509Z

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Observation 6ed19738-5079-4cd7-a7a6-313c7a119d08 · outbound

This paper cites Deep Learning.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Deep Learning

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.721076Z

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Observation e4193fb6-1484-49c9-8a5a-165ee7bcde2d · outbound

This paper cites Gradient Descent Happens in a Tiny Subspace.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Gradient Descent Happens in a Tiny Subspace

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.728883Z

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Observation 5a5f7072-2174-4730-b37e-b505e27e68e1 · outbound

This paper cites Naive Set Theory.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Naive Set Theory

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.737834Z

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Observation cc8dc7b8-4592-4176-bf29-4c34d171be6d · outbound

This paper cites Flat minima.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Flat minima

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.727393Z

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Observation 996e661b-7a13-4d8e-a2f4-2cda6b64ac1a · outbound

This paper cites A tail inequality for quadratic forms of subgaussian random vectors.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization A tail inequality for quadratic forms of subgaussian random vectors

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.731475Z

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Observation 4256b414-ad81-4c87-9748-c1bbcdfe1523 · outbound

This paper cites Probability essentials.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Probability essentials

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.725255Z

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Observation 4a853e90-6092-4941-97be-0f6052a77afd · outbound

This paper cites an unresolved cited work.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-24T16:44:42.733835Z

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Observation 0087e908-23c5-44ac-a8b3-93abc4034f77 · outbound

This paper cites On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-24T16:44:41.724572Z

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Observation 018e1871-2d72-402b-86f5-49daa6a6896d · outbound

This paper cites On large-batch training for deep learning: Generalization gap and sharp minima.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization On large-batch training for deep learning: Generalization gap and sharp minima

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.719076Z

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Observation 0957718a-6436-49c7-99e1-e58fe336ef72 · outbound

This paper cites Kingma and Jimmy Ba.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Kingma and Jimmy Ba

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.723171Z

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Observation e128285a-509e-496a-93f6-63553237a527 · outbound

This paper cites Information theory and dynamical system predictability.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Information theory and dynamical system predictability

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.707382Z

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Observation bce67809-1ca4-47c4-a508-516d52fe3dfe · outbound

This paper cites Learning Multiple Layers of Features from Tiny Images.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Learning Multiple Layers of Features from Tiny Images

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.714893Z

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Observation e630c5a5-f6cd-43db-8384-58fa4eb5029d · outbound

This paper cites An iteration method for the solution of the eigenvalue problem of linear differential and integral operators.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.790586Z

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Observation fd3ff6ce-17e5-4612-ab5b-afb2a6827a76 · outbound

This paper cites Pac-bayes & margins.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Pac-bayes & margins

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.811177Z

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Observation 2e6f8da3-874c-4b0e-bde9-6560af4d310d · outbound

This paper cites Brownian Motion, Martingales, and Stochastic Calculus, volume 274.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Brownian Motion, Martingales, and Stochastic Calculus, volume 274

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.813891Z

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Observation 3bfb3d03-c66e-437b-bc65-5a076943ccaa · outbound

This paper cites Deep learning.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Deep learning

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.800727Z

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Observation aa71f6ea-f3af-42c7-98ad-4da893afa4cb · outbound

This paper cites Gradient-based learning applied to document recognition.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Gradient-based learning applied to document recognition

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.798277Z

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Observation cee80336-a628-42c8-8f32-fac582272409 · outbound

This paper cites Probability in Banach Spaces: isoperimetry and processes.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Probability in Banach Spaces: isoperimetry and processes

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.803170Z

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Observation 55351596-50d9-4c44-a31a-c6206c9cbbaf · outbound

This paper cites Lehmann and G.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Lehmann and G

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.795601Z

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Observation 9d20a606-6d1d-4972-910a-68f6c1a25538 · outbound

This paper cites Learning overparameterized neural networks via stochastic gradient descent on structured data.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Learning overparameterized neural networks via stochastic gradient descent on structured data

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.805938Z

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Observation 108e3a5e-a89f-4b1f-bffe-c12437847eaa · outbound

This paper cites The Power of Interpolation: Understanding the Effectiveness of SGD in Modern Over-parametrized Learning.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization The Power of Interpolation: Understanding the Effectiveness of SGD in Modern Over-parametrized Learning

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.736755Z

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Observation 84260bca-f0ac-4c30-a963-497ab47a0bbe · outbound

This paper cites an unresolved cited work.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-05-24T16:46:17.186343Z

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Observation d470757f-4c4a-44a8-b480-b3d9a6dc3383 · outbound

This paper cites Hoffman, and David M.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Hoffman, and David M

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.705137Z

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Observation 485cb921-998d-4857-be45-d6542a1ef287 · outbound

This paper cites New insights and perspectives on the natural gradient method.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization New insights and perspectives on the natural gradient method

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-24T16:44:41.783397Z

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Observation 45bf624b-3e13-42e9-ac69-dc8a124e3a79 · outbound

This paper cites Pac-bayesian model averaging.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Pac-bayesian model averaging

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.744913Z

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Observation b1dd6f6a-98e9-425b-9c92-6271789aa818 · outbound

This paper cites Estimating structured vector autoregressive models.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Estimating structured vector autoregressive models

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:46:17.189852Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8ffc58ea-1e3e-4c10-8a96-193218091625 · outbound

This paper cites Recent Advances in Deep Learning: An Overview.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Recent Advances in Deep Learning: An Overview

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.753180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 52a5d1aa-1566-429d-a9ec-8718504c8124 · outbound

This paper cites Deterministic PAC-bayesian generalization bounds for deep networks via generalizing noise-resilience.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Deterministic PAC-bayesian generalization bounds for deep networks via generalizing noise-resilience

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.816559Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 51726993-724a-4c38-beb5-1833249461e3 · outbound

This paper cites Nemirovski, A.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Nemirovski, A

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.695564Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 15331cb9-5251-444b-b0fd-7f904ee52c62 · outbound

This paper cites A PAC-Bayesian Approach to Spectrally-Normalized Margin Bounds for Neural Networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization A PAC-Bayesian Approach to Spectrally-Normalized Margin Bounds for Neural Networks

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.746052Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 275de8f5-87a6-4f7a-8b0d-5fd37340ccac · outbound

This paper cites Exploring generalization in deep learning.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Exploring generalization in deep learning

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.693383Z

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Observation 6fadecfa-6644-4d98-94e2-0136732ccf03 · outbound

This paper cites The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.774945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ea72dcae-dd1f-4cd1-9309-4092e9cc3f5b · outbound

This paper cites Measurements of Three-Level Hierarchical Structure in the Outliers in the Spectrum of Deepnet Hessians.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Measurements of Three-Level Hierarchical Structure in the Outliers in the Spectrum of Deepnet Hessians

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.720168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6f6aa6c4-7fd9-4c61-b81d-98fc53881804 · outbound

This paper cites Pearlmutter.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Pearlmutter

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.697962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 524b3566-864a-488a-b841-ced61a0c9480 · outbound

This paper cites Pedregosa, G.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Pedregosa, G

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.702722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f3e74d11-94d1-4625-bac8-fdee97d31396 · outbound

This paper cites A Scale Invariant Flatness Measure for Deep Network Minima.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization A Scale Invariant Flatness Measure for Deep Network Minima

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.715970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5c8835f3-3147-4a18-8bec-d0ec507fe455 · outbound

This paper cites Radhakrishna Rao.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Radhakrishna Rao

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.700267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 018ed5f3-ffbb-4f1e-baf5-f87a474e49d2 · outbound

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

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Reddi, Satyen Kale, and Sanjiv Kumar

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.712654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 87448cd8-8643-493e-9e09-741c854a8946 · outbound

This paper cites A stochastic approximation method.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization A stochastic approximation method

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.742739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5016915a-dcb3-4e43-b958-9816e446b2ea · outbound

This paper cites Principles of mathematical analysis.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Principles of mathematical analysis

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.747545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 94f6241a-afc8-4a7c-bce9-f60905e70afc · outbound

This paper cites an unresolved cited work.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-05-24T16:44:42.750173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5745fc22-62b9-4e00-89c9-bfa9b7baa4a1 · outbound

This paper cites Spurious local minima are common in two-layer relu neural networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Spurious local minima are common in two-layer relu neural networks

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.740129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a5b83852-69cd-43f2-946f-f92c676c1ce3 · outbound

This paper cites Eigenvalues of the Hessian in Deep Learning: Singularity and Beyond.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Eigenvalues of the Hessian in Deep Learning: Singularity and Beyond

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.712085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 41790814-6ff8-4d2a-aa57-f4c98c97e215 · outbound

This paper cites Empirical Analysis of the Hessian of Over-Parametrized Neural Networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Empirical Analysis of the Hessian of Over-Parametrized Neural Networks

Reference 65

Resolution: metadata mismatch; local_arxiv, observed 2026-05-24T16:44:41.703636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fdf0b480-39dc-446d-9982-796b46af2091 · outbound

This paper cites Introduction to the gamma function.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Introduction to the gamma function

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.735867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7604ed16-0019-442c-b361-f0b6eb58a7a7 · outbound

This paper cites Exponential Convergence Time of Gradient Descent for One-Dimensional Deep Linear Neural Networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Exponential Convergence Time of Gradient Descent for One-Dimensional Deep Linear Neural Networks

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.698630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fdf99423-bd86-404c-902d-6b6279d01196 · outbound

This paper cites Smith and Quoc V.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Smith and Quoc V

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.729294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ed9cd3c0-e306-4c25-806d-e6d30e9665b5 · outbound

This paper cites Escaping saddle points with adaptive gradient methods.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Escaping saddle points with adaptive gradient methods

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.781813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 105cb751-8fb8-4e52-baa4-437c49fa3e00 · outbound

This paper cites Normalized Flat Minima: Exploring Scale Invariant Definition of Flat Minima for Neural Networks using PAC-Bayesian Analysis.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Normalized Flat Minima: Exploring Scale Invariant Definition of Flat Minima for Neural Networks using PAC-Bayesian Analysis

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.749801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1e6092fb-b7bc-4cd8-9a03-a9877496d6d8 · outbound

This paper cites Local smoothness in variance reduced optimization.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Local smoothness in variance reduced optimization

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.819594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 63e27ecf-79dc-41fc-9105-7765a935c0b2 · outbound

This paper cites Deep learning: A review.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Deep learning: A review

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.822457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d324648a-a720-4878-b419-408d536412da · outbound

This paper cites Introduction to the non-asymptotic analysis of random matrices.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Introduction to the non-asymptotic analysis of random matrices

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:46:17.183140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a33f3634-7713-4c0c-8266-961594d97df1 · outbound

This paper cites High-dimensional probability: An introduction with applications in data science, volume 47.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization High-dimensional probability: An introduction with applications in data science, volume 47

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:44:42.825212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 04297fdf-669c-4497-bc3f-e9b86fd4da56 · outbound

This paper cites All of Statistics: A Concise Course in Statistical Inference.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization All of Statistics: A Concise Course in Statistical Inference

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:46:17.197631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 72fef991-6111-4694-ba34-a5aebe96042e · outbound

This paper cites Probability with martingales.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Probability with martingales

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:46:17.201103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3d8e0367-e531-4ac7-ab28-545ba2b04157 · outbound

This paper cites A Walk with SGD.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization A Walk with SGD

Reference 77

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.765268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation cd316753-3f9c-48bf-a8bf-a4b37ac5cf60 · outbound

This paper cites Positively Scale-Invariant Flatness of ReLU Neural Networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Positively Scale-Invariant Flatness of ReLU Neural Networks

Reference 78

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.770557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f0771ac1-90a2-4abe-a47f-2108ad747cff · outbound

This paper cites an unresolved cited work.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Unresolved cited work

Reference 79

Resolution: unresolved; raw_fallback, observed 2026-05-24T16:46:17.205027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c8cdffd4-d7d6-408c-a71a-547dab84ca21 · outbound

This paper cites Small nonlinearities in activation functions create bad local minima in neural networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Small nonlinearities in activation functions create bad local minima in neural networks

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.756591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7d522915-b290-4f0e-9dd1-b20a34c6c10d · outbound

This paper cites Understanding deep learning requires rethinking generalization.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Understanding deep learning requires rethinking generalization

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T16:46:17.193846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1dbc6513-8ff8-4643-8602-2bb71caea3dc · outbound

This paper cites Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU Networks.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU Networks

Reference 82

Resolution: verified exact; local_arxiv, observed 2026-05-24T16:44:41.742230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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