First-ish Order Methods: Hessian-aware Scalings of Gradient Descent | Paper Citation Record

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Mushroom

Reference 1

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Parrilo, P

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This paper cites L., Kiros, J.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent L., Kiros, J

Reference 4

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Dherin, B

Reference 5

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Borwein, J

Reference 6

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This paper cites G., Pearlmutter, B.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent G., Pearlmutter, B

Reference 7

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This paper cites S., Roberts, L., and Roosta, F.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent S., Roberts, L., and Roosta, F

Reference 8

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Roulet, V

Reference 9

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 13

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This paper cites Z., and Talwalkar, A.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Z., and Talwalkar, A

Reference 14

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Yuan, Y .-X

Reference 18

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This paper cites Adaptive scaling of the learning rate by second order automatic differentiation.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Adaptive scaling of the learning rate by second order automatic differentiation

Reference 19

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This paper cites and Mishchenko, K.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Mishchenko, K

Reference 20

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Schmidt, M

Reference 24

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Gaussian Error Linear Units (GELUs)

Reference 31

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Schmidhuber, J

Reference 32

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Szegedy, C

Reference 34

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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This paper cites On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima

Reference 37

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

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This paper cites Adam: A Method for Stochastic Optimization.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Adam: A Method for Stochastic Optimization

Reference 39

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 40

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 41

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This paper cites Complexity Guarantees for Nonconvex Newton-MR Under Inexact Hessian Information.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Complexity Guarantees for Nonconvex Newton-MR Under Inexact Hessian Information

Reference 42

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This paper cites A Newton-MR algorithm with complexity guarantees for nonconvex smooth unconstrained optimization.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent A Newton-MR algorithm with complexity guarantees for nonconvex smooth unconstrained optimization

Reference 43

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 44

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Observation f3a6df64-27d8-4eed-b573-305468c2130e · outbound

This paper cites On a Family of Relaxed Gradient Descent Methods for Quadratic Minimization.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent On a Family of Relaxed Gradient Descent Methods for Quadratic Minimization

Reference 45

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Mishchenko, K

Reference 46

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Mishchenko, K

Reference 47

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Observation 6143f2af-aa36-4f3f-a960-1f6c0db63086 · outbound

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Grosse, R

Reference 48

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Defazio, A

Reference 49

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This paper cites Directional Smoothness and Gradient Methods: Convergence and Adaptivity.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Directional Smoothness and Gradient Methods: Convergence and Adaptivity

Reference 50

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Observation 9c2cd3ac-d004-4fd0-9475-42ad545dfc0e · outbound

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 51

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 52

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Polyak, B

Reference 53

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Wright, S

Reference 54

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This paper cites Stochastic Polyak Step-sizes and Momentum: Convergence Guarantees and Practical Performance.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Stochastic Polyak Step-sizes and Momentum: Convergence Guarantees and Practical Performance

Reference 55

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First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 56

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Observation c425bbf2-4163-4b0d-a603-18df37ff2067 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.923374Z

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 16c82333-f42a-4ff5-ac88-890c51680811 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.912745Z

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 cca4d1c8-a9eb-471e-9bc1-9aa1ebe57f43 · outbound

This paper cites and Berahas, A.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Berahas, A

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.900313Z

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 c8416c18-211d-4af2-869f-8ea6ffa58238 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.889833Z

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 1179649c-ec22-4131-b32b-0736fb385eba · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.863373Z

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 ca481357-9aa1-44ff-bae2-44f40b0fba3c · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.852818Z

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 37dbc096-3545-4955-888b-d7c8567790b0 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.841938Z

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 466f43ed-51e4-4384-8c7d-07f7a0b23cd4 · outbound

This paper cites and Mahoney, M.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Mahoney, M

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.813632Z

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 83ec7a07-53dd-4ef6-8ddd-d3748dcc76df · outbound

This paper cites M., Blondel, M., and Pedregosa, F.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent M., Blondel, M., and Pedregosa, F

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.803113Z

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 dc278bdd-0b06-4416-97a2-44476650e9f9 · outbound

This paper cites and Roosta, F.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and Roosta, F

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.791668Z

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 a9bf4d65-0681-42ad-a931-1a058740a254 · outbound

This paper cites L., Dherin, B., Barrett, D., and De, S.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent L., Dherin, B., Barrett, D., and De, S

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.780033Z

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 b2042fe6-4643-4380-b10e-e78bd942d9f9 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.769513Z

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 a82bd511-eb91-4f8a-9c3e-df9bc1e34fb3 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 69

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.758435Z

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 7402ba9d-af3d-4ab2-b0e6-4e9fbfe0deb0 · outbound

This paper cites and He, K.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent and He, K

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.747703Z

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 0de52f94-b2c5-4326-bd1c-d88e5fd4d7ad · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-09T04:11:15.487798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49857194-31b8-409c-a049-9165eecee162 · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 72

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.735639Z

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 1648f022-fcef-4002-a472-717a786be2ee · outbound

This paper cites an unresolved cited work.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:11:15.725081Z

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 effd6586-996a-4de7-b1ca-23624bd53f74 · outbound

This paper cites big data.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent big data

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.713866Z

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 05a038ee-d4a7-4b0b-9bd7-b493810e1714 · outbound

This paper cites On the third line we apply ∥˜p∥ ≥sNC min ∥g∥ and ∥g∥ > εg, whereas on the fourth line we apply Lemma B.16 and εg < 1.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent On the third line we apply ∥˜p∥ ≥sNC min ∥g∥ and ∥g∥ > εg, whereas on the fourth line we apply Lemma B.16 and εg < 1

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.703503Z

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 3e4e6fcd-21f9-4275-9283-164634d7de01 · outbound

This paper cites large ˜p.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent large ˜p

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.692427Z

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 0455ae09-7e08-472e-a596-f2fdb40c0e58 · outbound

This paper cites large p” case for the exact Hessian, a better dependence on εg is obtained when ˜p is large and ∆H is controlled. In fact, when θ = 0 we have ∆H = 0 and (39) matches the “large p.

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent large p” case for the exact Hessian, a better dependence on εg is obtained when ˜p is large and ∆H is controlled. In fact, when θ = 0 we have ∆H = 0 and (39) matches the “large p

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.681794Z

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 e88c9e9f-a6a8-4104-b7b2-be12f50c5917 · outbound

This paper cites This modification has previously been considered in [ 70].

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent This modification has previously been considered in [ 70]

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:11:15.671138Z

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.

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