Paper Citation Record · LEDGER

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2608.09523.

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

pith.paper-citation-record.v1
2608.09523 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:48:32.845600Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

verified exact1
verified fuzzy1
unresolved13
parse uncertain0
malformed identifier3
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55ef6603-1190-418f-bc0e-a1863bf8fd88 · outbound

This paper cites Improving Generalization Performance by Switching from Adam to SGD.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Improving Generalization Performance by Switching from Adam to SGD

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.654669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b980bf8e-8e87-4e79-8040-e69c403b9ae6 · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 12

Resolution: malformed identifier; no resolver link, observed 2026-08-11T15:48:32.660101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83442916-15b2-455f-bcce-f8b5c7118d12 · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:33.573228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f25e0a5c-681d-48af-a8bd-bf01ca13d2d5 · outbound

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

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Variance-reduced Clipping for Non-convex Optimization

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.823113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e49b2e7-192d-4699-b94a-a27f1a505e50 · outbound

This paper cites doi: 10.1016/ j.spa.2019.06.003.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks doi: 10.1016/ j.spa.2019.06.003

Reference 16

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T15:48:33.505265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 29c4a038-1299-49dc-b733-5e2be9c8ecad · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:33.485281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 790f2062-5901-4103-b8cf-6586beccbbb2 · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 1998

Resolution: malformed identifier; no resolver link, observed 2026-08-11T15:48:32.703931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33bfc3f2-fdd9-4e5c-b52a-86ccac27bc3d · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2001

Resolution: verified exact; doi, observed 2026-08-11T15:48:33.010241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 770bb704-93fd-420e-b245-3f8124281ded · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2006

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T15:48:33.437253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 36959fd7-e598-4cde-b5bd-859dcafef6e9 · outbound

This paper cites Karhadkar, M.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Karhadkar, M

Reference 2009

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:33.703629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7f49b2bf-85f9-4c97-9f11-cff758e5eeb4 · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.834867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 559e1164-4864-4c63-9459-a250d62bf492 · outbound

This paper cites doi: 10.1017/CBO9780511804441.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks doi: 10.1017/CBO9780511804441

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.606271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e357238-7846-409e-a224-9831895e48b5 · outbound

This paper cites doi: 10.1109/CVPR.2016.90.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks doi: 10.1109/CVPR.2016.90

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.636372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e095a8a-431b-4e70-835b-229f48c2a27f · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.599567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd039348-3051-4517-acf1-cec68b5688de · outbound

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

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.845600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 732b2156-7642-44c8-a993-18ea2b5824df · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.612360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cff68d9-c0e2-4a64-9274-a725b8814734 · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.643115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbe936c5-d953-495e-9f6e-3b6d020b04eb · outbound

This paper cites an unresolved cited work.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks Unresolved cited work

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.495365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bfcd308-f545-4589-b676-9e7bbfd01329 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Generalized Convexity and Smoothness via Conjugate Duality: Optimization Theory for Deep Neural Networks An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:32.624798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.