Paper Citation Record · LEDGER

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization

As of 10 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 3 inbound Pith citation observations for arXiv:2506.22332.

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pith.paper-citation-record.v1
2506.22332 v1

Coverage vector

measured 59 of 59 reference resolution

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measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-12T09:21:25.556906Z

Reference resolution

59 of 59 outbound references displayed

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Outbound references

Observation 6283fa3c-9a11-4208-83a8-0c2b2c851546 · outbound

This paper cites Trust-Region Methods on Riemannian Mani- folds.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Trust-Region Methods on Riemannian Mani- folds

Reference 1

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Observation bade81b3-b407-49a9-92fd-ea85a07ce6e0 · outbound

This paper cites A Proximal Quasi-Newton Trust-Region Method for Nonsmooth Regularized Optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A Proximal Quasi-Newton Trust-Region Method for Nonsmooth Regularized Optimization

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:07.701264Z

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Observation 4c5f896e-ae9f-44c6-a4da-b02a56aa1362 · outbound

This paper cites A proximal trust-region method for nonsmooth opti- mization with inexact function and gradient evaluations.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A proximal trust-region method for nonsmooth opti- mization with inexact function and gradient evaluations

Reference 3

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Observation 76004b88-6d89-4f42-a63d-122c18b4d2d6 · outbound

This paper cites A Fast Iterative Shrinkage-Thresholding Algorithm for Lin- ear Inverse Problems.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A Fast Iterative Shrinkage-Thresholding Algorithm for Lin- ear Inverse Problems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:07.465779Z

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Observation 9701cfec-83a2-4acb-88ac-37c71483099e · outbound

This paper cites Global Optimality of Local Search for Low Rank Matrix Recovery.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Global Optimality of Local Search for Low Rank Matrix Recovery

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:07.358428Z

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Observation 315e5f9a-5564-4d5d-b289-57cad882a3b2 · outbound

This paper cites PANTR: A Proximal Algorithm With Trust- Region Updates for Nonconvex Constrained Optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization PANTR: A Proximal Algorithm With Trust- Region Updates for Nonconvex Constrained Optimization

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:07.255010Z

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Observation d495826a-4244-49e7-97d0-ca181f0c353e · outbound

This paper cites Proximal alternating linearized minimization for nonconvex and nonsmooth problems.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Proximal alternating linearized minimization for nonconvex and nonsmooth problems

Reference 7

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Observation 1d5a4bd8-d3fd-47bd-a3e8-8fa37bcc094c · outbound

This paper cites Bonnans and A.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Bonnans and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:07.042874Z

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Observation 20ce7c56-b1d8-4f99-89a3-77a36b1316c6 · outbound

This paper cites Gradient Descent Provably Escapes Saddle Points in the Training of Shallow ReLU Networks.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Gradient Descent Provably Escapes Saddle Points in the Training of Shallow ReLU Networks

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.935346Z

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Observation bec9a706-51da-45c6-bace-8f6d4a25e6dd · outbound

This paper cites an unresolved cited work.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Unresolved cited work

Reference 10

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Observation de51bee6-cf7d-4218-8a9c-3a076432fc2b · outbound

This paper cites Orthogonal Invariance and Identi- fiability.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Orthogonal Invariance and Identi- fiability

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.729614Z

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Observation 93297b93-b003-4085-85dd-ee168d863560 · outbound

This paper cites Geometrical interpretation of the predictor- corrector type algorithms in structured optimization problems.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Geometrical interpretation of the predictor- corrector type algorithms in structured optimization problems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.625336Z

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Observation 9c560bc6-3f33-46f0-af38-3aab8d532a15 · outbound

This paper cites Escaping Strict Saddle Points of the Moreau Envelope in Nonsmooth Optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Escaping Strict Saddle Points of the Moreau Envelope in Nonsmooth Optimization

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.475970Z

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Observation 4085bef4-f1c7-4e54-a932-dcde226598fa · outbound

This paper cites Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.329278Z

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Observation 96de577c-bcf4-43b9-b4c4-8663c3f09318 · outbound

This paper cites Proximal Gradient Algorithms Under Local Lipschitz Gradient Continuity.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Proximal Gradient Algorithms Under Local Lipschitz Gradient Continuity

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.160354Z

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Observation 03fb758c-7b40-4ad5-a432-7e92316528c9 · outbound

This paper cites Optimality, identifiability, and sensitivity.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Optimality, identifiability, and sensitivity

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:06.000253Z

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Observation ba9d932e-a2f1-4c3b-b45b-a1a356a9f1ea · outbound

This paper cites Nonmonotone curvilinear line search methods for unconstrained optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Nonmonotone curvilinear line search methods for unconstrained optimization

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:05.819725Z

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Observation 06b81ff3-be3a-4b9b-802c-95be181de112 · outbound

This paper cites No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified Geometric Analysis.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified Geometric Analysis

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:05.637692Z

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Observation 1a4ae9ab-9c88-4ad8-88ef-fbf5ce82cc81 · outbound

This paper cites Matrix Completion has No Spurious Local Minimum.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Matrix Completion has No Spurious Local Minimum

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:05.461197Z

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Observation e89aee8d-f2f2-4e8d-b50b-111fc4b7a1b3 · outbound

This paper cites Exploiting negative curva- ture directions in linesearch methods for unconstrained optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Exploiting negative curva- ture directions in linesearch methods for unconstrained optimization

Reference 20

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Observation f62ee447-72ed-4406-baa1-801d14054c99 · outbound

This paper cites Riemannian trust-region methods for strict saddle func- tions with complexity guarantees.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Riemannian trust-region methods for strict saddle func- tions with complexity guarantees

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:05.097005Z

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Observation 27229d41-5df5-4df5-93f2-8e522ac5c3b2 · outbound

This paper cites an unresolved cited work.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Unresolved cited work

Reference 22

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Observation a1a13998-5491-4d1e-b045-024a57f35436 · outbound

This paper cites Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:17:59.213781Z

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Observation 2fb2c1aa-2349-47b5-9b4c-cea3ece749be · outbound

This paper cites Identifying Active Constraints via Partial Smoothness and Prox-Regularity.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Identifying Active Constraints via Partial Smoothness and Prox-Regularity

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.959206Z

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Observation ae556829-5993-4140-bec0-14050b7babc3 · outbound

This paper cites Functions and Sets of Smooth Substructure: Relationships and Examples.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Functions and Sets of Smooth Substructure: Relationships and Examples

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.784586Z

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Observation 6e463155-5223-42a7-9e6f-50b660a3252f · outbound

This paper cites Nonsmooth Optimization with Smooth Substructure.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Nonsmooth Optimization with Smooth Substructure

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.630623Z

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Observation 7ff10e3a-04a9-464d-80db-740d86ed9ee3 · outbound

This paper cites Generalized Power Method for Sparse Principal Component Analysis.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Generalized Power Method for Sparse Principal Component Analysis

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.463378Z

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Observation 22cda36b-5cf2-4fd2-acca-6a6542ff75f5 · outbound

This paper cites First- order methods almost always avoid strict saddle points.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization First- order methods almost always avoid strict saddle points

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.338219Z

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Observation ada898cc-785a-4245-90e6-824c570a22f5 · outbound

This paper cites Active Sets, Nonsmoothness, and Sensitivity.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Active Sets, Nonsmoothness, and Sensitivity

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.246133Z

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Observation f8d0dc90-f232-4092-8334-e8d3ca6f5e28 · outbound

This paper cites Partial Smoothness, Tilt Stability, and Generalized Hes- sians.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Partial Smoothness, Tilt Stability, and Generalized Hes- sians

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:04.110333Z

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Observation 94e85e27-1af5-4bda-8d97-ee42a113eae3 · outbound

This paper cites Convergence Rates of First-Order Operator Splitting Methods.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Convergence Rates of First-Order Operator Splitting Methods

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:03.932307Z

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Observation 6102db4b-2c99-47cb-b838-1a5370114489 · outbound

This paper cites An inexact regularized proximal Newton method for nonconvex and nonsmooth optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization An inexact regularized proximal Newton method for nonconvex and nonsmooth optimization

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:03.748506Z

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Observation 77051d75-9b6e-4de9-b0ee-702c778a7d94 · outbound

This paper cites An Envelope for Davis–Yin Splitting and Strict Saddle-Point Avoidance.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization An Envelope for Davis–Yin Splitting and Strict Saddle-Point Avoidance

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:03.622287Z

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Observation 82c9250a-f88b-41f9-85b8-691d0243d5e4 · outbound

This paper cites Curvilinear Stabilization Techniques for Trun- cated Newton Methods in Large Scale Unconstrained Optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Curvilinear Stabilization Techniques for Trun- cated Newton Methods in Large Scale Unconstrained Optimization

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:03.447554Z

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Observation f8bab8b5-4930-4054-b902-9020b944501b · outbound

This paper cites A modification of Armijo’s step-size rule for negative curvature.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A modification of Armijo’s step-size rule for negative curvature

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:03.272517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a3ca3fc-34f4-432d-9e6e-633e941b21e1 · outbound

This paper cites Primal-Dual Gradient Structured Functions: Second- Order Results; Links to Epi-Derivatives and Partly Smooth Functions.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Primal-Dual Gradient Structured Functions: Second- Order Results; Links to Epi-Derivatives and Partly Smooth Functions

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:03.152204Z

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Observation 929b17db-cbf0-417f-8c30-863fba2f29df · outbound

This paper cites On the use of directions of negative curvature in a modified newton method.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization On the use of directions of negative curvature in a modified newton method

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.998352Z

Source-reported events for the cited work

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Observation fa5d71fc-e861-4dc3-9388-d6f924f918a6 · outbound

This paper cites Nocedal and S.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Nocedal and S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.843376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b7ab57c4-09c0-45aa-a42c-ea02e4982294 · outbound

This paper cites A trust region-type normal map-based semismooth New- ton method for nonsmooth nonconvex composite optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A trust region-type normal map-based semismooth New- ton method for nonsmooth nonconvex composite optimization

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.707920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f007c00d-1f2d-4917-84a6-c73f34298c71 · outbound

This paper cites Proximal Newton methods for convex composite op- timization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Proximal Newton methods for convex composite op- timization

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.571610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f8b43161-3208-4c9c-9a27-310477fcf651 · outbound

This paper cites Generalized Hessian Properties of Regularized Nonsmooth Functions.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Generalized Hessian Properties of Regularized Nonsmooth Functions

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.394577Z

Source-reported events for the cited work

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Observation c571b8eb-5dc0-4b83-b667-9fb30c40e86a · outbound

This paper cites Prox-regular functions in variational analysis.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Prox-regular functions in variational analysis

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.260972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6b172d2e-653b-4bbe-b90d-7e235ce1ffef · outbound

This paper cites First- and Second-Order Epi-Differentiability in Nonlinear Program- ming.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization First- and Second-Order Epi-Differentiability in Nonlinear Program- ming

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:02.063865Z

Source-reported events for the cited work

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Observation 35b9ffa3-4d78-4430-b50e-d8a7a555e020 · outbound

This paper cites an unresolved cited work.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:18:01.895881Z

Source-reported events for the cited work

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Observation c435a1bf-15d6-4c21-85db-ae4e0fae5e51 · outbound

This paper cites On a Class of Nonsmooth Composite Functions.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization On a Class of Nonsmooth Composite Functions

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:01.751702Z

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Observation cc9cc3b4-14aa-4bf2-9598-3d246c400547 · outbound

This paper cites A Family of Trust-Region-Based Algo- rithms for Unconstrained Minimization with Strong Global Convergence Properties.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A Family of Trust-Region-Based Algo- rithms for Unconstrained Minimization with Strong Global Convergence Properties

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:01.581430Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b2e557c6-964d-4b43-8922-7e88a244904b · outbound

This paper cites Theoretical Insights Into the Opti- mization Landscape of Over-Parameterized Shallow Neural Networks.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Theoretical Insights Into the Opti- mization Landscape of Over-Parameterized Shallow Neural Networks

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:01.339748Z

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Observation 13910ac4-38bd-4e9d-a2ab-16fbb278614c · outbound

This paper cites The Conjugate Gradient Method and Trust Regions in Large Scale Op- timization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization The Conjugate Gradient Method and Trust Regions in Large Scale Op- timization

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:01.163795Z

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Observation 199bc42b-8a5b-46c2-ad4f-6972cac68f47 · outbound

This paper cites Forward–backward quasi-Newton methods for nonsmooth optimization problems.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Forward–backward quasi-Newton methods for nonsmooth optimization problems

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.966170Z

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Observation 998b62ea-fa9a-4f41-a0c6-43e0a831d61c · outbound

This paper cites A simple and efficient algorithm for nonlinear model predictive control.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A simple and efficient algorithm for nonlinear model predictive control

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.808551Z

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Observation 9f9d0143-fc1c-4869-925f-65e90739c8d1 · outbound

This paper cites A Geometric Analysis of Phase Retrieval.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A Geometric Analysis of Phase Retrieval

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.614258Z

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Observation 0de661c6-0579-48f0-8cd9-7551f59e1222 · outbound

This paper cites When Are Nonconvex Problems Not Scary?.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization When Are Nonconvex Problems Not Scary?

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T22:17:58.531907Z

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Observation 2a45d166-6b33-4104-ae3b-83bf842fde31 · outbound

This paper cites On the Acceleration of Forward-Backward Splitting via an Inexact Newton Method.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization On the Acceleration of Forward-Backward Splitting via an Inexact Newton Method

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.487807Z

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Observation 90591ff0-de9c-460e-b963-b1963a30569a · outbound

This paper cites A new envelope function for nonsmooth DC optimization.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization A new envelope function for nonsmooth DC optimization

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.337183Z

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Observation 9d050042-abda-43cb-b2be-ace4d1679b98 · outbound

This paper cites Forward-Backward Envelope for the Sum of Two Nonconvex Functions: Further Properties and Nonmonotone Linesearch Algo- rithms.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Forward-Backward Envelope for the Sum of Two Nonconvex Functions: Further Properties and Nonmonotone Linesearch Algo- rithms

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.175680Z

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Observation 23bb0fc8-ee31-4b14-94a3-b87cfd4e2cdc · outbound

This paper cites Linear Regularizers Enforce the Strict Saddle Prop- erty.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Linear Regularizers Enforce the Strict Saddle Prop- erty

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:18:00.042860Z

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Observation 0e6e40e1-d6fe-4f31-b313-75a93b3fb841 · outbound

This paper cites Zhang, ed.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Zhang, ed

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:59.763990Z

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Observation 46815fb9-d5df-4be1-b4d9-a8d8feab55b6 · outbound

This paper cites Proximal gradient algorithm with trust region scheme on Riemannian manifold.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Proximal gradient algorithm with trust region scheme on Riemannian manifold

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:59.602631Z

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Observation 3b6b81d9-fead-4fb4-8433-a51b64403a78 · outbound

This paper cites Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting.

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-06T22:17:59.046050Z

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Pith citing papers

Observation dd1670b6-e1a3-4d59-9c67-b7bc2f08bebb · inbound

PANOC-lite: A simpler and more efficient algorithm for composite minimization cites this paper.

PANOC-lite: A simpler and more efficient algorithm for composite minimization Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T11:30:18.989208Z

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Observation 67b93aeb-cf1b-43e6-a74a-4403d15c45be · inbound

Quasar-Convex Optimization: Fundamental Properties and High-Order Proximal-Point Methods cites this paper.

Quasar-Convex Optimization: Fundamental Properties and High-Order Proximal-Point Methods Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:21:25.558821Z

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Observation 4c4143a2-53e9-4e45-975d-a562fb7b7201 · inbound

Robust Learning Meets Quasar-Convex Optimization: Inexact High-Order Proximal-Point Methods cites this paper.

Robust Learning Meets Quasar-Convex Optimization: Inexact High-Order Proximal-Point Methods Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T08:36:25.862037Z

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