Paper Citation Record · LEDGER

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity

As of 19 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 2 inbound Pith citation observations for arXiv:2508.13496.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.13496 v3

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:22:55.406150Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:14:26.959505Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact1
verified fuzzy22
unresolved23
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 547547e3-d054-4f34-aa02-b9c53ed5fa89 · outbound

This paper cites Variance reduction for faster non-convex optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Variance reduction for faster non-convex optimization

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:56.067482Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7bbd674a-2d85-4511-9452-c417abb78ab6 · outbound

This paper cites Introduction to Nonsmooth Optimization: theory, practice and software, volume 12.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Introduction to Nonsmooth Optimization: theory, practice and software, volume 12

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:56.056654Z

Source-reported events for the cited work

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Observation 2ec30681-73ef-4447-a18b-bdb2ce55bafe · outbound

This paper cites Zeroth-order nonconvex stochastic optimization: Handling constraints, high dimensionality, and saddle points.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Zeroth-order nonconvex stochastic optimization: Handling constraints, high dimensionality, and saddle points

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:56.044898Z

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Observation 60ca1a4f-bc35-4751-a663-8ee35284a022 · outbound

This paper cites Faster gradient-free algorithms for nonsmooth nonconvex stochastic optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Faster gradient-free algorithms for nonsmooth nonconvex stochastic optimization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:56.033054Z

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Observation 968ec6a8-fc59-48e3-9c32-be339a5a69df · outbound

This paper cites Zoo: Zeroth order optimization based black-box attacks to deep neural networks without training substitute models.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Zoo: Zeroth order optimization based black-box attacks to deep neural networks without training substitute models

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:56.018848Z

Source-reported events for the cited work

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Observation 41af593f-ce2b-4365-ac8f-9ed14944647c · outbound

This paper cites Generalized-smooth nonconvex optimization is as efficient as smooth nonconvex optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Generalized-smooth nonconvex optimization is as efficient as smooth nonconvex optimization

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:56.005562Z

Source-reported events for the cited work

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Observation a4c66f04-72d1-458b-a203-4591b4e8a257 · outbound

This paper cites Clipping Improves Adam-Norm and AdaGrad-Norm when the Noise Is Heavy-Tailed.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Clipping Improves Adam-Norm and AdaGrad-Norm when the Noise Is Heavy-Tailed

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.261906Z

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Observation e9da7c31-af9e-46f0-941d-737b43eab801 · outbound

This paper cites Optimization and nonsmooth analysis.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Optimization and nonsmooth analysis

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.991982Z

Source-reported events for the cited work

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Observation 7fa2eda4-ef38-43f8-addf-33e559ca7e35 · outbound

This paper cites Complexity guarantees for an implicit smoothing-enabled method for stochastic mpecs.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Complexity guarantees for an implicit smoothing-enabled method for stochastic mpecs

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.980675Z

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 4de9a7c4-ef2c-432e-bdb4-72c37f3dad27 · outbound

This paper cites Modern nonconvex nondifferentiable optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Modern nonconvex nondifferentiable optimization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.969218Z

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 88be8a71-0d62-4b5a-b5e2-82e798a9a514 · outbound

This paper cites Momentum improves normalized sgd.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Momentum improves normalized sgd

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.278976Z

Source-reported events for the cited work

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Observation 87853885-b3e6-46ed-bddc-965fc2522a10 · outbound

This paper cites Momentum-based variance reduction in non-convex sgd.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Momentum-based variance reduction in non-convex sgd

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.282983Z

Source-reported events for the cited work

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Observation bfb7bbcc-6537-43b7-89e1-12821c9aed73 · outbound

This paper cites Randomized smoothing for stochastic optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Randomized smoothing for stochastic optimization

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.945503Z

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 5f47eb6a-cb10-452c-8433-bb37f4cae635 · outbound

This paper cites Spider: Near-optimal non-convex optimization via stochastic path-integrated differential estimator.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Spider: Near-optimal non-convex optimization via stochastic path-integrated differential estimator

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.290349Z

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Observation 2b388982-6df4-416a-a860-5c4479812eb6 · outbound

This paper cites Online convex optimization in the bandit setting: gradient descent without a gradient.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Online convex optimization in the bandit setting: gradient descent without a gradient

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.926152Z

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 54ca4277-3ad7-4597-bed8-c264eaa71a7f · outbound

This paper cites Stochastic Weakly Convex Optimization Beyond Lipschitz Continuity.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Stochastic Weakly Convex Optimization Beyond Lipschitz Continuity

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.297697Z

Source-reported events for the cited work

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Observation 2d815806-0e36-44f5-8077-a69703f3b43b · outbound

This paper cites Stochastic first-and zeroth-order methods for nonconvex stochastic programming.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Stochastic first-and zeroth-order methods for nonconvex stochastic programming

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.301903Z

Source-reported events for the cited work

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Observation cbcfa1b7-26a2-449b-995a-9e91896987f0 · outbound

This paper cites Convergence rates for deterministic and stochastic subgradient methods without lipschitz continuity.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Convergence rates for deterministic and stochastic subgradient methods without lipschitz continuity

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.905309Z

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 c4673db0-a62e-4e43-acf8-e8effabf85cb · outbound

This paper cites From Gradient Clipping to Normalization for Heavy Tailed SGD.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity From Gradient Clipping to Normalization for Heavy Tailed SGD

Reference 19

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Observation 9fd9b5b4-0127-4034-a0fc-7710fc925a64 · outbound

This paper cites Non-convex optimization for machine learning.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Non-convex optimization for machine learning

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.313101Z

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Observation 4a867eb0-bb35-4621-9d90-1fcbe192ce38 · outbound

This paper cites An Algorithm with Optimal Dimension-Dependence for Zero-Order Nonsmooth Nonconvex Stochastic Optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity An Algorithm with Optimal Dimension-Dependence for Zero-Order Nonsmooth Nonconvex Stochastic Optimization

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:22:55.694448Z

Source-reported events for the cited work

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Observation f830227d-bc9b-4cd2-b4b0-f079bfe195a0 · outbound

This paper cites Derivative-free optimization methods.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Derivative-free optimization methods

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.886423Z

Source-reported events for the cited work

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Observation e1d2b60c-68a1-4092-b331-4b91ce73f0f6 · outbound

This paper cites Subdifferentially polynomially bounded functions and Gaussian smoothing-based zeroth-order optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Subdifferentially polynomially bounded functions and Gaussian smoothing-based zeroth-order optimization

Reference 23

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Source-reported events for the cited work

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Observation 97fa64fe-d81c-459a-a85d-7fc038093086 · outbound

This paper cites Convex and non-convex optimization under generalized smoothness.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Convex and non-convex optimization under generalized smoothness

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.874013Z

Source-reported events for the cited work

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Observation e79f4d92-3206-43c6-bafd-763b222c32a7 · outbound

This paper cites Gradient-free methods for deterministic and stochastic nonsmooth nonconvex optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Gradient-free methods for deterministic and stochastic nonsmooth nonconvex optimization

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.862079Z

Source-reported events for the cited work

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Observation eb7e2883-35ce-40a2-b415-be9c4363643c · outbound

This paper cites Decentralized gradient-free methods for stochastic non-smooth non-convex optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Decentralized gradient-free methods for stochastic non-smooth non-convex optimization

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.849173Z

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 917d6242-eb44-4906-94dd-9b89152b541b · outbound

This paper cites A primer on zeroth-order optimization in signal processing and machine learning: Principals, recent advances, and applications.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity A primer on zeroth-order optimization in signal processing and machine learning: Principals, recent advances, and applications

Reference 27

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Observation 587bb326-e20d-4e63-b705-90653988a7e6 · outbound

This paper cites Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.341832Z

Source-reported events for the cited work

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Observation 37e6d7b0-7275-4b33-b8f4-913f61e80fb0 · outbound

This paper cites Near-Optimal Non-Convex Stochastic Optimization under Generalized Smoothness.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Near-Optimal Non-Convex Stochastic Optimization under Generalized Smoothness

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.345806Z

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Observation 890c420a-4b06-4577-b92a-7f4888a223cf · outbound

This paper cites relative continuity.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity relative continuity

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.828960Z

Source-reported events for the cited work

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Observation 8c2823ae-8907-40f7-8b5b-ce48ef9cd1ed · outbound

This paper cites Stability and convergence of stochastic gradient clipping: Beyond lipschitz continuity and smoothness.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Stability and convergence of stochastic gradient clipping: Beyond lipschitz continuity and smoothness

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.353586Z

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Observation 5384b729-55c6-40e6-b0b1-967d3bcb91db · outbound

This paper cites Fine-tuning language models with just forward passes.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Fine-tuning language models with just forward passes

Reference 32

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Observation a054ee6e-bd71-48e7-9655-7b19285acdc9 · outbound

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

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Directional Smoothness and Gradient Methods: Convergence and Adaptivity

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.360368Z

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Observation db384065-2148-4943-a3a4-e45b826c61da · outbound

This paper cites A simplex method for function minimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity A simplex method for function minimization

Reference 34

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Observation e0e76694-027f-42fd-9199-188013d4efe4 · outbound

This paper cites Random gradient-free minimization of convex functions.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Random gradient-free minimization of convex functions

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.796556Z

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Observation 2b36e3b3-2ac1-4763-9dc1-bf017425e2fd · outbound

This paper cites Sum of squares method for sensor network localization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Sum of squares method for sensor network localization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.785492Z

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Observation 267930ab-61af-4287-8bd2-7c05ca38ceab · outbound

This paper cites Variance-reduced Clipping for Non-convex Optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Variance-reduced Clipping for Non-convex Optimization

Reference 37

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Observation d141a0b2-bcff-40ff-9c8e-e4b00445d8f8 · outbound

This paper cites Simulation and the Monte Carlo method.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Simulation and the Monte Carlo method

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.774693Z

Source-reported events for the cited work

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Observation 19dafe36-7da6-4335-8a84-1b3b486ffc31 · outbound

This paper cites An optimal algorithm for bandit and zero-order convex optimization with two-point feedback.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity An optimal algorithm for bandit and zero-order convex optimization with two-point feedback

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.763434Z

Source-reported events for the cited work

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Observation f874df03-a04c-4192-9b18-c7c690f4d14c · outbound

This paper cites Gradient normalization with (out) clipping ensures convergence of nonconvex sgd under heavy-tailed noise with improved results.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Gradient normalization with (out) clipping ensures convergence of nonconvex sgd under heavy-tailed noise with improved results

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.385590Z

Source-reported events for the cited work

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Observation 39d2a35e-c9bc-46b6-852e-c18080516614 · outbound

This paper cites Toward a Unified Theory of Gradient Descent under Generalized Smoothness.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Toward a Unified Theory of Gradient Descent under Generalized Smoothness

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.388874Z

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Observation 3d274765-3fd8-4c08-906c-208e39f9f79a · outbound

This paper cites High-dimensional statistics: A non-asymptotic viewpoint, volume 48.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity High-dimensional statistics: A non-asymptotic viewpoint, volume 48

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.392361Z

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Observation f2548962-f523-4fd1-82f4-72d874c04d3a · outbound

This paper cites Why gradient clipping accelerates training: A theoretical justification for adaptivity.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Why gradient clipping accelerates training: A theoretical justification for adaptivity

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.395736Z

Source-reported events for the cited work

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Observation b0bcfb1f-c738-4bcc-a956-2066a5bbc74a · outbound

This paper cites Complexity of finding stationary points of nonconvex nonsmooth functions.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Complexity of finding stationary points of nonconvex nonsmooth functions

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:22:55.743681Z

Source-reported events for the cited work

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Observation ea192730-44e1-41a4-acd7-6ad79189bc79 · outbound

This paper cites Stochastic nested variance reduction for nonconvex optimization.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity Stochastic nested variance reduction for nonconvex optimization

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.402698Z

Source-reported events for the cited work

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Observation 43e9fb4b-2856-406d-b489-b8c0bba0c9a3 · outbound

This paper cites A unified analysis for the subgradient methods minimizing composite nonconvex, nonsmooth and non-lipschitz functions.

Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity A unified analysis for the subgradient methods minimizing composite nonconvex, nonsmooth and non-lipschitz functions

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-15T17:22:55.406150Z

Source-reported events for the cited work

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Pith citing papers

Observation 4ec8d98b-b6b8-406e-93bb-722986c67a1f · inbound

A Gaussian smoothing-based zeroth-order method for Goldstein second-order stationarity cites this paper.

A Gaussian smoothing-based zeroth-order method for Goldstein second-order stationarity Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-01T08:14:26.959505Z

Source-reported events for the cited work

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Observation 1819be72-41a8-4f76-ba85-964bae6e0706 · inbound

On computing Goldstein approximate second-order stationary points of structured nonsmooth nonconvex programs cites this paper.

On computing Goldstein approximate second-order stationary points of structured nonsmooth nonconvex programs Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity

Reference 101

Resolution: unresolved; no resolver link, observed 2026-07-31T23:09:58.904284Z

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Unavailable: canonical work link unavailable.