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Paper Citation Record · LEDGER

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 3 inbound Pith citation observations for arXiv:2502.03210.

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

pith.paper-citation-record.v1
2502.03210 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T05:36:55.559621Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:37:01.591623Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved6
  • parse uncertain0
  • malformed identifier4
  • metadata mismatch1

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 86f9c489-27f9-44f5-9b8a-a21057648ab0 · outbound

This paper cites Feature Learning and Generalization in Deep Networks with Orthogonal Weights.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning Feature Learning and Generalization in Deep Networks with Orthogonal Weights

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-08-09T05:36:55.864848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.487940Z digest=sha256:4db4cc5e596027209c44b667017edce69500a6dff539049c96e2d6fc2f7ad21e

Observation 2c518e6c-31f5-45a9-a5b6-d501717d4fd5 · outbound

This paper cites 2 Krogh, A.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 2 Krogh, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.070467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.501608Z digest=sha256:137cf499f6ed35f76e9fb64d3fb93c24e8b6d2de46c19275a1217bddc63a352a

Observation c7436748-45e0-4f60-99cf-d8f4189f3dd0 · outbound

This paper cites 2 Risken, H.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 2 Risken, H

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-09T05:36:55.523473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.523473Z digest=sha256:58bcf710baee3e1763cfad95a931cb59993c55dadd261e5e8e6a74ac65ae1932

Observation 3ff24657-2e3e-4fb0-b734-3cada997b0ab · outbound

This paper cites 1, 2, 5, 5, A.2.3 Saxe, A., Mcclelland, J., and Ganguli, S.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 1, 2, 5, 5, A.2.3 Saxe, A., Mcclelland, J., and Ganguli, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.025885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.528522Z digest=sha256:1f3d73421eefaacb677838007c90b041e8b7929ee00d5e0ee926705a28535de3

Observation e4e4a116-4ea4-49f1-9615-9bee9b1828a7 · outbound

This paper cites Coding schemes in neural networks learning classification tasks.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning Coding schemes in neural networks learning classification tasks

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-09T05:36:55.533302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.533302Z digest=sha256:bc4b7c4858e5e93a45017afa8bf6c2448b339b81c1d0b6cfc942f96767221609

Observation b52591f9-ad9e-40bf-aa02-7e3f36680f48 · outbound

This paper cites an unresolved cited work.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning Unresolved cited work

Reference 18

Resolution
malformed identifier
raw_fallback, observed 2026-08-09T05:36:55.986238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.559621Z digest=sha256:9c7e0114538ba9dd155c1c24fc225b39589406ba23e12c1e90192ce7f6d7863d

Observation 977f5255-1577-4ae2-b352-b9b7e6072e5d · outbound

This paper cites an unresolved cited work.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning Unresolved cited work

Reference 50

Resolution
malformed identifier
no resolver link, observed 2026-08-09T05:36:55.468789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.468789Z digest=sha256:67269950b3bfb04019e2080d3a1b38a37eec88a57b01df33bbf878481defb2f6

Observation 13356a87-f996-4886-9d15-62da99ff5ff6 · outbound

This paper cites On the asymptotics of wide networks with polynomial activations.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning On the asymptotics of wide networks with polynomial activations

Reference 164

Resolution
malformed identifier
no resolver link, observed 2026-08-09T05:36:55.462233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.462233Z digest=sha256:13ee14a82e8f23ac0f2d3f8d67c0898a8c0b40a10bc29cf54f6032ed557a31d9

Observation 3d4d14c6-f53b-457c-864a-ef6111d1bd42 · outbound

This paper cites 1. Weight Posterior.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 1. Weight Posterior

Reference 607

Resolution
unresolved
no resolver link, observed 2026-08-09T05:36:55.552178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.552178Z digest=sha256:eaf04160dcb70b5c04ae42b40d26df9d4abc54c37a469fb811bbaa8d206ee7ac

Observation 56875dc2-751c-4c71-a994-2cb0ea39878d · outbound

This paper cites A theory of data variability in Neural Network Bayesian inference.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning A theory of data variability in Neural Network Bayesian inference

Reference 1991

Resolution
unresolved
no resolver link, observed 2026-08-09T05:36:55.506896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.506896Z digest=sha256:a2489932ec5a6e1d9af0cd1dd75b85f1cabf7b148bea947ef1734a25a4bb609e

Observation 5ff4d5ab-2e17-45d7-b2e4-77b394367000 · outbound

This paper cites Classifying high-dimensional gaussian mixtures: Where kernel methods fail and neural networks suc- ceed.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning Classifying high-dimensional gaussian mixtures: Where kernel methods fail and neural networks suc- ceed

Reference 2006

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.045913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.518039Z digest=sha256:a8342c0af1db495d202288310da94178d7c8d0060b54c01c8ef0b7b263152218

Observation 8b34b745-bcab-43cc-8c10-839a25197605 · outbound

This paper cites cc/paper_files/paper/2017/file/ d9fc0cdb67638d50f411432d0d41d0ba-Paper.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning cc/paper_files/paper/2017/file/ d9fc0cdb67638d50f411432d0d41d0ba-Paper

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-09T05:36:55.512312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.512312Z digest=sha256:74bafe61b7a0b52df3788fd0e0a97b9648560a59a2341ef0e8d35d187fe74d99

Observation 921353e3-f5c2-4000-805e-68e71b1b9eb2 · outbound

This paper cites 2 Yang, A.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 2 Yang, A

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.004571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.538824Z digest=sha256:a9b8ab7ab935eec24b27c9c833654b0ec986717f6bf2ab1240e070debbbe0d80

Observation 1148be6c-7ac8-4132-8ccf-788f84f0ec51 · outbound

This paper cites 2 Cohen, O., Malka, O., and Ringel, Z.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 2 Cohen, O., Malka, O., and Ringel, Z

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.111508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.481580Z digest=sha256:3729c90b2398dea4456ae052eae9657c9db959426d6920b3c4d33ea6f1dd708c

Observation beb82d7a-6ce0-47f6-8e30-80a20c5a79f9 · outbound

This paper cites 7 Huang, J.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 7 Huang, J

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.090719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.495387Z digest=sha256:c9506c2e95413c8baf21a28f6d51887ad63f783176bf513c1d6875c811677688

Observation 6bbedff1-a59c-4030-95ef-24f3084da506 · outbound

This paper cites cc/paper_files/paper/2021/file/ e2db7186375992e729165726762cb4c1-Paper.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning cc/paper_files/paper/2021/file/ e2db7186375992e729165726762cb4c1-Paper

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:36:56.130394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:36:55.456090Z digest=sha256:7d07087d86cd409dd6abce1d7a05330b2e0466c3e98b52839199dd3f1e14f84f

Observation 98c70e28-7945-4490-9de6-5bd6ecabd2fc · outbound

This paper cites Feature Learning in Infinite-Width Neural Networks.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning Feature Learning in Infinite-Width Neural Networks

Reference 2023

Resolution
malformed identifier
no resolver link, observed 2026-08-09T05:36:55.544985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.544985Z digest=sha256:e0e33723d7b67bcd1122e0902c25a6a50ac552dc0a73604a9568c86b555e97d2

Observation 2054a8e1-480b-4976-88a1-c5ca458af549 · outbound

This paper cites 2 Canatar, A.

From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning 2 Canatar, A

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-09T05:36:55.475716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:36:55.475716Z digest=sha256:499a211d3eaaf99f459ca47506ed69a0a7050d519c675a96eacb7575f600e55b

Pith citing papers

Observation c4c94aa7-1cb5-4295-8165-3e9555019c3b · inbound

Dynamics of neural scaling laws in random feature regression with powerlaw-distributed kernel eigenvalues cites this paper.

Dynamics of neural scaling laws in random feature regression with powerlaw-distributed kernel eigenvalues From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-02T20:37:01.591623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T20:37:01.591623Z digest=sha256:ba9acd338c4cfa20c47e47c82832acd1f361ab11d72bab6c2b1215fe75ee28d8

Observation ab1c7560-6ecc-419e-b771-62dfd2a8b05e · inbound

Statistical Properties of Training & Generalization cites this paper.

Statistical Properties of Training & Generalization From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-06-26T15:39:33.199820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-26T15:35:51.654392Z digest=sha256:4c98878ad35b5d914bd7a74ad223dd3e7eb6cd4e199345434792b4294a71c670

Observation b1129547-647b-4070-bd20-9eac7197c832 · inbound

Statistical Properties of Training & Generalization cites this paper.

Statistical Properties of Training & Generalization From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-02T21:57:25.338292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-02T21:51:13.457071Z digest=sha256:40380226f00c4886fab7293014a7f065ffbb45eda78b7e1098d42e02d882f9b5