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Paper Citation Record · LEDGER
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
As of 19 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 6 inbound Pith citation observations for arXiv:2505.07143.
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Reference resolution
47 of 47 outbound references displayed
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arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation 02bcda36-7d2c-4077-847c-daf38049ed7f · outbound
This paper cites Gradients of convex functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Gradients of convex functions
Reference 1
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- raw_fallback, observed 2026-08-15T22:39:04.975901Z
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Observation cc9ae81e-4791-4fd6-9b8e-6a988b9cdd5e · outbound
This paper cites A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods
Reference 2
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- raw_fallback, observed 2026-08-15T22:39:04.962328Z
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Observation fb9794b4-b2b7-4b50-9865-045c88580073 · outbound
This paper cites Springer Science & Business Media, 2013.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Springer Science & Business Media, 2013
Reference 3
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Observation 13fb0fae-8237-4370-87bd-d911a19a9dd3 · outbound
This paper cites Descent methods for composite nondifferentiable optimization problems.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Descent methods for composite nondifferentiable optimization problems
Reference 4
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- raw_fallback, observed 2026-08-15T22:39:04.930995Z
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Observation 6c7ff4d7-e2e2-4cb5-8c7b-7a2296f400f6 · outbound
This paper cites Gradient sampling methods for nonsmooth optimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Gradient sampling methods for nonsmooth optimization
Reference 5
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- raw_fallback, observed 2026-08-15T22:39:04.913290Z
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Observation ac99a861-7032-4cf9-bf17-8e6e8678185d · outbound
This paper cites A Gauss-Newton method for convex composite opti- mization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A Gauss-Newton method for convex composite opti- mization
Reference 6
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- raw_fallback, observed 2026-08-15T22:39:04.845954Z
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Observation c7931ae1-07d9-45ee-bd12-af2c506abe91 · outbound
This paper cites Approximating subdifferentials by random sampling of gradients.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Approximating subdifferentials by random sampling of gradients
Reference 7
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- raw_fallback, observed 2026-08-15T22:39:04.830667Z
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Observation 06e105f6-74a9-43e1-a8ef-a18ba8b52a1c · outbound
This paper cites A robust gradient sampling algorithm for nonsmooth, nonconvex optimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A robust gradient sampling algorithm for nonsmooth, nonconvex optimization
Reference 8
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- raw_fallback, observed 2026-08-15T22:39:04.813739Z
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Observation 03decbea-5a6c-4856-be44-cdd7b7d79631 · outbound
This paper cites Smoothing methods for nonsmooth, nonconvex minimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Smoothing methods for nonsmooth, nonconvex minimization
Reference 9
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- raw_fallback, observed 2026-08-15T22:39:04.796738Z
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Observation 7f47b5f9-9935-4a3e-91a4-154bd06d33c4 · outbound
This paper cites Generalized gradients and applications.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Generalized gradients and applications
Reference 10
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- raw_fallback, observed 2026-08-15T22:39:04.590119Z
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4cb74b27-3b91-474a-999c-06f6af985eac · outbound
This paper cites Optimization and Nonsmooth Analysis.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Optimization and Nonsmooth Analysis
Reference 11
- Resolution
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- no resolver link, observed 2026-08-15T22:39:01.330444Z
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Observation 31e43c68-cc9a-4e67-b3cf-c34f87ab5c4f · outbound
This paper cites Modern Nonconvex Nondifferentiable Optimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Modern Nonconvex Nondifferentiable Optimization
Reference 12
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- raw_fallback, observed 2026-08-15T22:39:04.549840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 138977a0-c273-494f-b48d-bde5e7e0ea50 · outbound
This paper cites A gradient sampling method with complexity guarantees for Lipschitz functions in high and low dimensions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A gradient sampling method with complexity guarantees for Lipschitz functions in high and low dimensions
Reference 13
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- raw_fallback, observed 2026-08-15T22:39:04.534647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c45bae00-083a-482d-aa32-22af43679963 · outbound
This paper cites A local nearly linearly convergent first-order method for nons- mooth functions with quadratic growth.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A local nearly linearly convergent first-order method for nons- mooth functions with quadratic growth
Reference 14
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- raw_fallback, observed 2026-08-15T22:39:04.518811Z
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c74ef456-e666-41d8-89e0-bf333b47dd0c · outbound
This paper cites Proximal bundle methods for nonsmooth DC programming.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Proximal bundle methods for nonsmooth DC programming
Reference 15
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- raw_fallback, observed 2026-08-15T22:39:04.403574Z
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Observation 21a8d19e-2248-4607-b103-f0ff231f11e8 · outbound
This paper cites Optimal convergence rates for the proximal bundle method.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Optimal convergence rates for the proximal bundle method
Reference 16
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Observation 20e702db-732d-4d78-9a4d-76739991faa7 · outbound
This paper cites Error bounds, quadratic growth, and linear con- vergence of proximal methods.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Error bounds, quadratic growth, and linear con- vergence of proximal methods
Reference 17
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- verified fuzzy
- raw_fallback, observed 2026-08-15T22:39:04.280898Z
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 034f5f9e-fa82-4d9c-b0c0-3c6ad1bb0699 · outbound
This paper cites Convex Analysis and Variational Problems.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Convex Analysis and Variational Problems
Reference 18
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Observation 25866263-ab29-44a9-99c8-055ed4f8b627 · outbound
This paper cites An algorithm for nonsmooth opti- mization by successive piecewise linearization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization An algorithm for nonsmooth opti- mization by successive piecewise linearization
Reference 19
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Observation d6055f03-abf3-4e47-9ad5-873114873022 · outbound
This paper cites A model algorithm for composite nondifferentiable optimization problems.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A model algorithm for composite nondifferentiable optimization problems
Reference 20
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- raw_fallback, observed 2026-08-15T22:39:04.235884Z
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Observation c17a6817-4b37-478b-b360-8d9553e4e39f · outbound
This paper cites Differential properties of the marginal function in mathematical programming.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Differential properties of the marginal function in mathematical programming
Reference 21
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Observation 144ba6f1-777f-4c55-abee-f252f068e852 · outbound
This paper cites Optimization of Lipschitz continuous functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Optimization of Lipschitz continuous functions
Reference 22
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- raw_fallback, observed 2026-08-15T22:39:04.026331Z
Source-reported events for the cited work
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Observation 8973db7e-c550-47b0-8856-d10489032d00 · outbound
This paper cites On Nesterov’s nonsmooth Chebyshev– Rosenbrock functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization On Nesterov’s nonsmooth Chebyshev– Rosenbrock functions
Reference 23
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- raw_fallback, observed 2026-08-15T22:39:03.946754Z
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cf701216-3e00-4a68-8631-a122a3ca57db · outbound
This paper cites A redistributed proximal bundle method for nonconvex optimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A redistributed proximal bundle method for nonconvex optimization
Reference 24
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- raw_fallback, observed 2026-08-15T22:39:03.894132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e2342bc3-5025-41f1-8f24-765b0c215efc · outbound
This paper cites On the local convergence analysis of the gradient sampling method for finite max-functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization On the local convergence analysis of the gradient sampling method for finite max-functions
Reference 25
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- raw_fallback, observed 2026-08-15T22:39:03.878228Z
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a114869e-f2a8-4871-bdc6-4464b746c4bd · outbound
This paper cites Convex Analysis and Minimization Algorithms I and II , volume 305 and 306.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Convex Analysis and Minimization Algorithms I and II , volume 305 and 306
Reference 26
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- raw_fallback, observed 2026-08-15T22:39:03.820124Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 999a22a6-8e4d-4ae7-9c81-32b66dbb7db5 · outbound
This paper cites Convergence of the gradient sampling algorithm for nonsmooth nonconvex optimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Convergence of the gradient sampling algorithm for nonsmooth nonconvex optimization
Reference 27
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Observation 51218a96-4298-4d1b-b023-c5afbae7bd44 · outbound
This paper cites Lipschitz minimization and the Goldstein modulus.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Lipschitz minimization and the Goldstein modulus
Reference 28
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- local_arxiv, observed 2026-08-15T22:39:02.539636Z
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Observation bddff4ce-aa91-4eab-afc4-eaa79a5462df · outbound
This paper cites An extension of Davidon methods to nondifferentiable problems.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization An extension of Davidon methods to nondifferentiable problems
Reference 29
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- raw_fallback, observed 2026-08-15T22:39:03.789120Z
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Observation 84ab698d-4678-49a8-a845-1232793228b5 · outbound
This paper cites Nonsmooth algorithms to solve semidefinite pro- grams.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Nonsmooth algorithms to solve semidefinite pro- grams
Reference 30
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- raw_fallback, observed 2026-08-15T22:39:03.659091Z
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Observation 065146a4-05af-4352-a6d2-094b3b704d5e · outbound
This paper cites Large-scale methods for distri- butionally robust optimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Large-scale methods for distri- butionally robust optimization
Reference 31
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- raw_fallback, observed 2026-08-15T22:39:03.606277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0bc3d80b-c8e8-4651-840d-3c062d36740a · outbound
This paper cites Nonsmooth optimization via quasi-Newton methods.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Nonsmooth optimization via quasi-Newton methods
Reference 32
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- raw_fallback, observed 2026-08-15T22:39:03.552560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9b0fc409-d73d-4c17-846a-0a410eefc76e · outbound
This paper cites A proximal method for composite minimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A proximal method for composite minimization
Reference 33
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- raw_fallback, observed 2026-08-15T22:39:03.446032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 64cfd47d-d573-485d-9f55-96ad03dce856 · outbound
This paper cites On the linear convergence of descent methods for convex essentially smooth minimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization On the linear convergence of descent methods for convex essentially smooth minimization
Reference 34
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- raw_fallback, observed 2026-08-15T22:39:03.430457Z
Source-reported events for the cited work
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Observation e096eeae-b225-48d7-8ba8-1aeab990035d · outbound
This paper cites Error bounds and convergence analysis of feasible descent methods: a general approach.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Error bounds and convergence analysis of feasible descent methods: a general approach
Reference 35
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- raw_fallback, observed 2026-08-15T22:39:03.352282Z
Source-reported events for the cited work
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Observation 94fc56ff-1c68-427a-824b-8825232e7279 · outbound
This paper cites A modification and an extension of Lemar´ echal’s algorithm for nonsmooth minimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A modification and an extension of Lemar´ echal’s algorithm for nonsmooth minimization
Reference 36
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- raw_fallback, observed 2026-08-15T22:39:03.290853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d3437b6d-167e-4e58-8685-505530edbf85 · outbound
This paper cites OnVU -theory for functions with primal-dual gradient structure.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization OnVU -theory for functions with primal-dual gradient structure
Reference 37
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- raw_fallback, observed 2026-08-15T22:39:03.274374Z
Source-reported events for the cited work
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Observation 39ccc3a2-bc47-49cf-90af-03fe0e2942c7 · outbound
This paper cites A VU -algorithm for convex minimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A VU -algorithm for convex minimization
Reference 38
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- raw_fallback, observed 2026-08-15T22:39:03.168547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e7fc2f9c-a453-4533-a980-ec667b17e230 · outbound
This paper cites Subgradients of marginal functions in parametric mathematical programming.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Subgradients of marginal functions in parametric mathematical programming
Reference 39
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- raw_fallback, observed 2026-08-15T22:39:03.113215Z
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Observation eff6467a-5b11-4fcb-bcfb-b42ca1f902ba · outbound
This paper cites Smooth minimization of non-smooth functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Smooth minimization of non-smooth functions
Reference 40
- Resolution
- unresolved
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Unavailable: canonical work link unavailable.
Observation 1fec2724-22e7-4738-9daf-698a5ae162a0 · outbound
This paper cites Linear convergence of epsilon-subgradient descent methods for a class of convex functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Linear convergence of epsilon-subgradient descent methods for a class of convex functions
Reference 41
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- raw_fallback, observed 2026-08-15T22:39:03.085089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 69212c85-7351-4e8e-a633-608dd8bb439e · outbound
This paper cites Convex Analysis, volume 18.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Convex Analysis, volume 18
Reference 42
- Resolution
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- raw_fallback, observed 2026-08-15T22:39:03.061361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ad58f516-2ec6-4667-9540-6f277ff4afd3 · outbound
This paper cites Variational Analysis, volume 317.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Variational Analysis, volume 317
Reference 43
- Resolution
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- raw_fallback, observed 2026-08-15T22:39:03.043668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bae3977f-54ca-49d8-ad18-3c12cbf03394 · outbound
This paper cites On the finite-time complexity and practical computation of approximate stationarity concepts of Lipschitz functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization On the finite-time complexity and practical computation of approximate stationarity concepts of Lipschitz functions
Reference 44
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- raw_fallback, observed 2026-08-15T22:39:02.939597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 39491921-f338-4c1c-8ede-62017dd04e3c · outbound
This paper cites Descent methods for convex essentially smooth minimization.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Descent methods for convex essentially smooth minimization
Reference 45
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- raw_fallback, observed 2026-08-15T22:39:02.810408Z
Source-reported events for the cited work
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Observation 1ac8cf8d-470a-4651-b968-22448c969314 · outbound
This paper cites A method of conjugate subgradients for minimizing nondifferentiable functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization A method of conjugate subgradients for minimizing nondifferentiable functions
Reference 46
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- raw_fallback, observed 2026-08-15T22:39:02.664274Z
Source-reported events for the cited work
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Observation f3ac4cea-095d-41e2-9216-e1d7470f9f3e · outbound
This paper cites Complexity of finding stationary points of nonconvex nonsmooth functions.
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization Complexity of finding stationary points of nonconvex nonsmooth functions
Reference 47
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Pith citing papers
Observation 636e0625-f8a1-468e-8415-89bfce61f1df · inbound
A Proximal Descent Method for Minimizing Weakly Convex Optimization cites this paper.
A Proximal Descent Method for Minimizing Weakly Convex Optimization Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T11:32:37.560747Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 207bb346-5fd0-4872-937a-4f603aa5ec2e · inbound
Accelerated Prox-Level Methods for Unknown Piecewise-Smooth Optimization I: Convex Optimization cites this paper.
Accelerated Prox-Level Methods for Unknown Piecewise-Smooth Optimization I: Convex Optimization Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Reference 49
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:22:12.918497Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd245201-0331-445e-a24d-1d3d19c0be22 · inbound
Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses cites this paper.
Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Reference 51
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T07:11:28.267343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 461b657d-7e7d-4c2c-a51f-0208cbc39ca1 · inbound
Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses cites this paper.
Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T06:10:23.782142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1e6cdd41-6fda-4509-8554-08224122fc96 · inbound
Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses cites this paper.
Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Reference 3
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-25T06:10:23.270781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f2df2f9c-cf3d-4f3a-9485-491485d70129 · inbound
Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness cites this paper.
Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T02:28:43.704810Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.