Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition | Paper Citation Record

Observation b449bf38-2ec6-43b8-b1aa-7e9c2a57fa91 · outbound

This paper cites Al v arez, On the minimizing property of a second order dissipative system in hilbert spaces, SIAM Journal on Control and Optimization, 38 (2000), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Al v arez, On the minimizing property of a second order dissipative system in hilbert spaces, SIAM Journal on Control and Optimization, 38 (2000), pp

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.732621Z

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Observation 54d67acf-86cf-499a-920d-0141aa45dc2a · outbound

This paper cites Al v arez, H.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Al v arez, H

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.713402Z

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Observation c87fa122-991c-43b3-a4a3-f6c23f05bc13 · outbound

This paper cites Anitescu, Degenerate nonlinear programming with a quadratic growth condition, SIAM Journal on Optimization, 10 (2000), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Anitescu, Degenerate nonlinear programming with a quadratic growth condition, SIAM Journal on Optimization, 10 (2000), pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.681984Z

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Observation 30a20f32-6234-4655-9210-47d66803e6e7 · outbound

This paper cites an unresolved cited work.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:15:00.664095Z

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Observation 65a6efe2-9605-4aed-abeb-3011dbc325c7 · outbound

This paper cites Apidopoulos, N.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Apidopoulos, N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.646370Z

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Observation b769139f-13d8-4075-94e2-4a1edc727761 · outbound

This paper cites Attouch, J.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Attouch, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.628373Z

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Observation 1750b323-139f-4013-ac3c-e8c7926db359 · outbound

This paper cites Attouch, J.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Attouch, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.610470Z

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Observation 35665cf8-da0e-4eee-be6e-b58eebca86d0 · outbound

This paper cites Attouch, Z.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Attouch, Z

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.593462Z

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Observation 0864c460-ccf7-4a2c-a56f-7480169d2a97 · outbound

This paper cites On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:14:45.732299Z

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Observation 35d22e4f-7141-42ae-a0bd-d500c271a52a · outbound

This paper cites Attouch, X.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Attouch, X

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.574632Z

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Observation d558925b-fded-4d04-bd8c-dc721d432a37 · outbound

This paper cites Attouch, P.-E.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Attouch, P.-E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.553172Z

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Observation f154417b-58a7-49de-89d3-0968b6e94dd2 · outbound

This paper cites Aubin and J.-P.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Aubin and J.-P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.535696Z

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Observation f53d28de-f6f4-4cfa-b6f8-212be3d2c639 · outbound

This paper cites Aujol and C.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Aujol and C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.516947Z

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Observation 553e498d-48cf-4dfd-abb4-20cd01189cdd · outbound

This paper cites an unresolved cited work.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:15:00.498791Z

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Observation 34be2a93-db81-4682-80dd-33f22c3ba745 · outbound

This paper cites Aujol, C.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Aujol, C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.480799Z

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Observation bda9accd-6b24-44f5-b02e-bed58e7b2419 · outbound

This paper cites Heavy Ball Momentum for Non-Strongly Convex Optimization.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Heavy Ball Momentum for Non-Strongly Convex Optimization

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:14:45.634555Z

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Observation 88ed5ec2-5839-49d4-a6fc-28c98ac21887 · outbound

This paper cites Bégout, J.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bégout, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.462978Z

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Observation 79da61fe-80bb-4d8e-8cad-25d5d6e5e2d0 · outbound

This paper cites Bihari , A generalization of a lemma of bellman and its application to uniqueness problems of differential equations, Acta Mathematica Hungarica, 7 (1956), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bihari , A generalization of a lemma of bellman and its application to uniqueness problems of differential equations, Acta Mathematica Hungarica, 7 (1956), pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:15:00.440767Z

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Observation 072df064-0f5c-4595-a304-8cee10f84b58 · outbound

This paper cites Bolte, A.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bolte, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:50.072298Z

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Observation d07bf8e8-8c70-4f74-9ffa-3e951acf9d6b · outbound

This paper cites Bolte, A.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bolte, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:49.920962Z

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Observation 2d5a6ad1-fb55-45be-86e4-e32e044aa771 · outbound

This paper cites Bolte, A.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bolte, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:49.755680Z

Source-reported events for the cited work

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Observation a9abc9e0-a2ad-4b90-9d7b-51681a51cdfe · outbound

This paper cites Bolte, A.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bolte, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:49.568620Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 76cf1649-e3a9-4b39-9135-a75d5d0e751f · outbound

This paper cites Bol te, T.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Bol te, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:49.387024Z

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Observation dad03c34-e840-40ae-b76d-9778b89b748d · outbound

This paper cites Castera, Inertial newton algorithms avoiding strict saddle points, Journal of Optimization Theory and Applications, 199 (2023), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Castera, Inertial newton algorithms avoiding strict saddle points, Journal of Optimization Theory and Applications, 199 (2023), pp

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:49.259502Z

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Observation 73aeb405-e3c6-437b-801e-5abdc8bce2d2 · outbound

This paper cites Castera, H.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Castera, H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:49.121912Z

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Observation 17a9e3f8-f0a4-4527-ac4d-e8790bc7fed0 · outbound

This paper cites Castera, J.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Castera, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:48.910872Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d58dc7a5-10ad-4cbc-ae3d-e7698f88b000 · outbound

This paper cites Clarke, Functional analysis, calculus of variations and optimal control, vol.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Clarke, Functional analysis, calculus of variations and optimal control, vol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:48.623567Z

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Observation c5916928-5165-4c1b-816a-cff0f1e39061 · outbound

This paper cites Drusvyatskiy and A.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Drusvyatskiy and A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:48.376671Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 98bc661a-2035-487b-9dfe-7bb6cc68c0b3 · outbound

This paper cites Convergence of the Forward-Backward Algorithm: Beyond the Worst Case with the Help of Geometry.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Convergence of the Forward-Backward Algorithm: Beyond the Worst Case with the Help of Geometry

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T04:14:43.776717Z

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Observation 5bb25dba-4303-4a2d-b0f9-8681e14b401c · outbound

This paper cites Goudou and J.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Goudou and J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:48.126666Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 85972a36-e8e3-4dbb-9dbb-bd5f1e68cc74 · outbound

This paper cites Haraux and M.-A.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Haraux and M.-A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:47.918356Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3330115d-2819-442c-9fdc-386703023dbe · outbound

This paper cites Karimi, J.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Karimi, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:47.753805Z

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Observation 0f0786db-4640-43da-8b34-b777d3f8f1d3 · outbound

This paper cites Kurdyka, On gradients of functions definable in o-minimal structures, Annales de l’institut Fourier, 48 (1998), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Kurdyka, On gradients of functions definable in o-minimal structures, Annales de l’institut Fourier, 48 (1998), pp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:47.577058Z

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Observation db4cec8f-6808-4e31-b461-e5ecc2924376 · outbound

This paper cites an unresolved cited work.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:14:47.466754Z

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Observation 96a1c48d-51c3-425a-b821-fe9a63fac98d · outbound

This paper cites Université de Grenoble., 43 (1993), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Université de Grenoble., 43 (1993), pp

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:47.346851Z

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Observation aa2f9e8e-431a-4a08-bae5-c4d71f8a345c · outbound

This paper cites Luo and P.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Luo and P

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:47.171480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ce1b7f6-ac7b-48ed-ac60-362446ee41d1 · outbound

This paper cites Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:14:45.513632Z

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Observation 37d7efa0-9793-4ebb-a470-f614f85607b4 · outbound

This paper cites Necoara, Y.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Necoara, Y

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T04:14:44.466582Z

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Observation f52d9b3d-d45e-4f5d-bebf-1a55853a669a · outbound

This paper cites Nesterov, Introductory lectures on convex optimization: A basic course, 2013.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Nesterov, Introductory lectures on convex optimization: A basic course, 2013

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:47.001448Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 84382ab3-6afb-4468-b5d6-7d1bce3440e9 · outbound

This paper cites Palis Jr.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Palis Jr

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:46.858560Z

Source-reported events for the cited work

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Observation 35211e44-1ae5-4b32-abe0-99f81bd65df8 · outbound

This paper cites an unresolved cited work.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:14:46.739042Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 70ae8167-0c25-459e-8652-8f2367eb863c · outbound

This paper cites Perko, Differential equations and dynamical systems, vol.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Perko, Differential equations and dynamical systems, vol

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:46.594350Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4c319843-8d61-42fd-ac8a-693d2a29e5e2 · outbound

This paper cites Polyak and P.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Polyak and P

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:46.482780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7640cc15-f9e7-40a6-b367-46afd03d8685 · outbound

This paper cites an unresolved cited work.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:14:46.343558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 83cf5362-5806-4481-9fc5-e1b94a4292bf · outbound

This paper cites an unresolved cited work.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:14:46.226490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c420f7d1-ce30-485b-be0d-1e26c0ad6e9f · outbound

This paper cites Accelerated First-Order Methods: Differential Equations and Lyapunov Functions.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Accelerated First-Order Methods: Differential Equations and Lyapunov Functions

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:14:45.357365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5719b806-bf08-4211-a19d-bfceeddb2979 · outbound

This paper cites Simsek, F.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Simsek, F

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:46.013257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 93073629-5d8d-4f58-8237-73accdcafe13 · outbound

This paper cites Teschl, Ordinary Differential Equations and Dynamical Systems, vol.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Teschl, Ordinary Differential Equations and Dynamical Systems, vol

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:45.921238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d358b925-f51e-4343-9bf7-374dfff61bf6 · outbound

This paper cites Accelerated Gradient Methods via Inertial Systems with Hessian-driven Damping.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Accelerated Gradient Methods via Inertial Systems with Hessian-driven Damping

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T04:14:45.072249Z

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Observation 56def9fd-b99b-4ce4-8625-69308c3d23b8 · outbound

This paper cites Zhang , New analysis of linear convergence of gradient-type methods via unifying error bound conditions, Mathematical Programming, 180 (2020), pp.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Zhang , New analysis of linear convergence of gradient-type methods via unifying error bound conditions, Mathematical Programming, 180 (2020), pp

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:14:45.830124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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This paper cites Gradient methods for convex minimization: better rates under weaker conditions.

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the {\L}ojasiewicz condition Gradient methods for convex minimization: better rates under weaker conditions

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