Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:43:13.551631Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 100 of 231 outbound references and 0 inbound Pith citation observations for arXiv:2608.01032.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:43:13.551631Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
100 of 231 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c6bb50b1-53bf-4365-acf8-e84f932d14ce · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Brendan McMahan, Ilya Mironov, Kunal Talwar, and Li Zhang
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a68094e-96e6-4ae4-ba0b-6fa6e82f8f8e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The merged-staircase property: A necessary and nearly sufficient condition for SGD learning of sparse functions on two-layer neural networks
Reference 2
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Unavailable: canonical work link unavailable.
Observation f93a7245-9a0d-4889-99c8-0c56ecb10b45 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting SGD learning on neural networks: Leap complexity and saddle-to-saddle dynamics
Reference 3
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Observation 03b56ee0-2d43-4e49-8902-5bfafd6b9df6 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Unresolved cited work
Reference 4
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Observation e8361369-026c-4f1b-a70d-0d9a0b147b8b · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Advani and Andrew M
Reference 5
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Unavailable: canonical work link unavailable.
Observation 0a87b232-727f-49f8-8eb9-eb6f6fff960e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Understanding the unstable convergence of gradient descent
Reference 6
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Unavailable: canonical work link unavailable.
Observation 5d03c576-5709-4630-88a2-9798a1b3d89e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Zico Kolter, and Ryan J
Reference 7
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Unavailable: canonical work link unavailable.
Observation e909b75d-fe91-4635-b0f7-a37fc788092e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The implicit regularization of stochastic gradient flow for least squares
Reference 8
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Observation 81b6fa84-2c49-4bbe-9c1e-560e6648e9c8 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The space complexity of approximating the frequency moments.Journal of Computer and System Sciences, 58(1):137–147, 1999
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9dfb36b1-4ecc-4d64-95e5-7ce5aeb8fa80 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Never go full batch (in stochastic convex optimization)
Reference 10
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Observation 4fa66407-f9d1-447c-9f0b-8637915375bd · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting SGD generalizes better than GD (and regularization doesn’t help)
Reference 11
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Observation 2c4a9ef4-7ea3-42df-ba93-dc047e08c6dd · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Thinking outside the ball: Optimal learning with gradient descent for generalized linear stochastic convex optimization
Reference 12
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Observation e63286a3-2f27-48d2-b8b0-1ea30217d626 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Edge of stochastic stability: Revisiting the edge of stability for SGD, 2024
Reference 13
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Unavailable: canonical work link unavailable.
Observation b26bde74-1172-457d-8f1e-38102874da0b · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Understanding gradient descent on the edge of stability in deep learning
Reference 14
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Unavailable: canonical work link unavailable.
Observation dc1b8b78-18a6-44f6-a55d-f07aa0abdfc0 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Information Complexity of Stochastic Convex Optimization: Applications to Generalization and Memorization
Reference 15
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Unavailable: canonical work link unavailable.
Observation 94459c81-6829-4a7d-b3de-be65f227b326 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Robust linear least squares regression.The Annals of Statistics, 39(5):2766–2794, 2011
Reference 16
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Observation bd6a8757-6d73-48e9-85b3-04bd32f57148 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Diggavi, and David N
Reference 17
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0ea40c81-ace8-4ec2-b685-19d0b821897c · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices.The Annals of Probability, 33(5):1643–1697,
Reference 18
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Observation 2cf6ae6c-fbc6-40d3-bf69-9b53d4bab8ab · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Unresolved cited work
Reference 19
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Observation 2ad0818a-afdf-486f-baec-0156a0080027 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Bartlett, Philip M
Reference 20
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Observation a0e64c60-2428-4f9b-a901-b8a2d704be9b · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Fit without fear: Remarkable mathematical phenomena of deep learn- ing through the prism of interpolation.Acta Numerica, 30:203–248, 2021
Reference 21
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Observation 2d922e36-5755-4357-85a9-cb0005d0ba99 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Hsu, and Partha P
Reference 22
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Observation 787ed768-5e67-412f-b85f-7cc65e738bf3 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Unresolved cited work
Reference 23
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Observation 0fdbe2da-0d12-4fd4-9fb4-e3ba763de915 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Reconciling modern machine- learning practice and the classical bias–variance trade-off.Proceedings of the National Academy of Sciences, 116(32):15849–15854, 2019
Reference 24
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Observation 7500c083-27d6-4971-b442-d22c31fb74a5 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Tsybakov
Reference 25
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Observation 06eb9d9d-f8ba-4583-af0c-b5a2e82d15e9 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting To understand deep learning we need to understand kernel learning
Reference 26
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Unavailable: canonical work link unavailable.
Observation a2103233-9db3-4c8a-abcb-fce1c2743fd4 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Incremental Gradient, Subgradient, and Proximal Methods for Convex Optimization: A Survey
Reference 27
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Observation bffaf9aa-4409-4b3c-ab6c-72f121b7fd4d · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Learning single-index models with shallow neural networks
Reference 28
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Observation 2747bd0f-4da8-4641-978a-576854a26518 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Implicit regularization for deep neural networks driven by an Ornstein–Uhlenbeck like process
Reference 29
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Observation 1384f0ef-defc-4f76-82ca-fa7c938c261e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Two models of double descent for weak features.SIAM Journal on Mathematics of Data Science, 2(4):1167–1180, 2020
Reference 30
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Observation 756a1d6e-885b-493f-a82b-0a4a859d39f3 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The tradeoffs of large scale learning
Reference 31
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Observation f6718b94-4b92-44be-adc6-cdc5a8714ae6 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Curtis, and Jorge Nocedal
Reference 32
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Observation 6499b4cd-5e02-48c3-badf-c1ad267afd71 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Stability and generalization.Journal of Machine Learning Research, 2:499–526, 2002
Reference 33
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Observation 96e3f843-f434-4ed5-b990-78a73561a7ad · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Euclidean information theory
Reference 34
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Observation 807ead5a-b640-412a-9e83-c9b6b3e06b15 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Bagging predictors.Machine Learning, 24(2):123–140, 1996
Reference 35
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Observation a980f28c-00eb-4c00-971a-e73b3fd57beb · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Unresolved cited work
Reference 36
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9ff890a8-cc8d-474b-85ad-17e8f0333b0f · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Survey on algorithms for multi-index models.Statistical Science, 40(3):378–391, 2025
Reference 37
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Observation 93efd1e8-e860-4cb9-b52c-ccedce42edb7 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Proper learning, Helly number, and an optimal SVM bound
Reference 38
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Observation b45a8b21-9802-4f96-a470-ccf438d3e8e7 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting A universal law of robustness via isoperimetry
Reference 39
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Observation 0dbfddd8-552c-47a3-a0eb-dd9ee1e1fe64 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting All ERMs can fail in stochastic convex optimization lower bounds in linear dimension, 2026
Reference 40
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Observation 1dba8a15-1a16-486d-985d-80bf731d2575 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The secret sharer: Evaluating and testing unintended memorization in neural networks
Reference 41
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Observation f9b8f9f7-0cc6-4359-800d-79406e058005 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Veeravalli
Reference 42
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6640581c-a1ac-4199-9a58-4eb641099b6a · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Membership inference attacks from first principles
Reference 43
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Observation d5ad1ba1-184c-4f2f-a39d-3b531b5874c9 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The sample complexity of ERMs in stochastic convex optimization
Reference 44
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Observation 30c0cc34-51be-4cc1-80cc-1c2bdf1c8d74 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Unresolved cited work
Reference 45
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Unavailable: canonical work link unavailable.
Observation c3dabff3-5f34-4ddf-bca9-3e805a5b7cff · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Extracting training data from large language models
Reference 46
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Unavailable: canonical work link unavailable.
Observation f5701117-578e-48f9-98a3-a8ceeffc9b78 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Understanding gradient clipping in private SGD: A geometric perspective
Reference 47
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Observation c90c737f-82b9-4b55-ac7b-b52c5b8244f7 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting From One-Pass SGD to Data Reuse: Mini-Batch Scaling Laws in Sketched Linear Regression
Reference 48
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Observation ac67c988-0181-4e24-891e-b07c7abcaf53 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting On the robustness of minimum norm interpolators and regularized empirical risk minimizers.The Annals of Statistics, 50(4): 2306–2333, 2022
Reference 49
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dd7f8604-0d29-442e-9d09-1ceb8a1bf0e7 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Sarwate, and Kaushik Sinha
Reference 50
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Observation 86e3251c-3318-44f0-8787-91a1faafccff · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Cohen, Simran Kaur, Yuanzhi Li, J
Reference 51
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Observation d40be81b-e5bc-4b75-ae3a-80165648934e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting High-dimensional limit of one-pass SGD on least squares
Reference 52
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2e583e8e-7678-4bc4-8238-083cf5819d16 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Cubuk, Barret Zoph, Dandelion Mane, Vijay Vasudevan, and Quoc V
Reference 53
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Observation 87222f27-494f-489b-90e0-a05c19cc1f0a · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Choquette-Choo, Florian Tram` er, Nicholas Carlini, and Nicolas Papernot
Reference 54
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Observation 7a2c4d18-6c15-4b1e-b879-3387d78cf3fd · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of Overparameterized Machine Learning
Reference 55
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Observation 8d3e389f-c4a2-4826-b35b-fff402884853 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Oliveira
Reference 56
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Observation f7a0d408-89b5-4ce4-b85e-50b6a2f7557b · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Sharp minima can generalize for deep nets
Reference 57
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Observation 97fc50f7-01a8-45d4-ba8d-47cc966abf5f · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Self-stabilization: The implicit bias of gradient descent at the edge of stability
Reference 58
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Observation a3d98e78-a06c-4464-8bea-602aa2e4e2df · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Robust Linear Regression: Phase-Transitions and Precise Tradeoffs for General Norms
Reference 59
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d40ae35-6dee-4ec1-b63f-a20d18475cdf · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Draper and R
Reference 60
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Observation 042e113e-796a-472e-8b42-d58da616b758 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Learning single-index models in gaussian space
Reference 61
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Observation 4e03b9ad-665e-47f5-8b88-b725ec552ec1 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The algorithmic foundations of differential privacy
Reference 62
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Observation 75d2b213-374e-49f0-b815-a0bb736273f3 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Generalized no free lunch theorem for adversarial robustness
Reference 63
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Observation 425dfae3-3119-4430-9eae-8ffa897b9f36 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Analyze gauss: Optimal bounds for privacy-preserving principal component analysis
Reference 64
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Observation ce0d6bdb-5910-44f1-b113-2aeaf4d563a7 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting James–stein estimation and ridge regression
Reference 65
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Observation 95e97e02-c1f0-4131-80d8-9252d11c570e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Stein’s paradox in statistics.Scientific American, 236(5): 119–127, 1977
Reference 66
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Observation 460f1392-bc51-49ab-86e5-c322ae8c0694 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Etkin, David N
Reference 67
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5842c1ec-1cfd-4446-9635-211e40c08eeb · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Calibrating noise to sensitivity in private data analysis
Reference 68
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Observation 7c784198-c46a-4eca-b2c1-75166fd0d2d6 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Analysis of classifiers’ robustness to adversarial perturbations.Machine Learning, 107:481–508, 2018
Reference 69
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Observation 4727e863-adc9-4054-a65e-cdd590dec05e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Generalization of ERM in stochastic convex optimization: The dimension strikes back
Reference 70
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Observation 9817b1ee-6454-4376-9ffc-6e0cfc3480ab · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Does learning require memorization? a short tale about a long tail
Reference 71
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Observation 63d2f1c7-dc46-44f2-90b9-a31559d5f415 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Figiel, J
Reference 72
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Observation 123e1ae9-a603-4d37-b676-fb68069507c9 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting (S)GD over diagonal linear networks: Implicit bias, large stepsizes and edge of stability
Reference 73
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Observation 83456e24-5c47-4dec-b8cc-c1078e855b4a · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Shrinkage to Infinity: Reducing Test Error by Inflating the Minimum Norm Interpolator in Linear Models
Reference 74
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 80ba0f8b-41bd-432d-af88-68693e1b901e · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Bartlett, and Nati Srebro
Reference 75
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Observation c709d151-9d79-40c3-ab97-bd28d30128f9 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Gallager.Information Theory and Reliable Communication
Reference 76
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Observation d075e37e-99dd-4de3-bf1f-51665d7e6508 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Escaping from saddle points—online stochastic gradient for tensor decomposition
Reference 77
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Observation c1712fa0-d309-415c-b303-bb4624770ae5 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Foster, Satyen Kale, Haipeng Luo, Mehryar Mohri, and Karthik Sridharan
Reference 78
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Observation ef560da2-942a-4dc2-846f-5412a129e83c · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting A loss curvature perspective on training instabilities of deep learning models
Reference 79
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Observation c009c686-e56d-444b-ab21-a39c99b50891 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Goodfellow, Jonathon Shlens, and Christian Szegedy
Reference 80
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Observation fc4c62f5-9f12-42bd-8267-2a156f8b84a5 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Accurate, Large Minibatch SGD: Training ImageNet in 1 Hour
Reference 81
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Observation 629a6ae9-406f-4ce2-90fe-def2a8e2bbbc · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Characterizing implicit bias in terms of optimization geometry
Reference 82
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Observation 49344df1-cfdf-4c49-b5e6-2178187498eb · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Schoenholz, Maithra Raghu, Martin Wattenberg, and Ian Goodfellow
Reference 83
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Observation ba478612-3702-459e-abce-7de023429f0f · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The Surprising Harmfulness of Benign Overfitting for Adversarial Robustness
Reference 84
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Observation 5474ec28-c1f9-4c89-a7b9-f1987bb11d50 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting HaoChen, Colin Wei, Jason D
Reference 85
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Observation 2e06514e-79b0-45b5-893b-01d1fd2f2d43 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting On the geometry of differential privacy
Reference 86
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Observation 9eabd5b3-cdc9-4c59-81fd-ffac3f73d507 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Train faster, generalize better: Stability of stochastic gradient descent
Reference 87
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Observation f6cc8814-410b-4779-9d53-55fa78d2d845 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting The optimal sample complexity of PAC learning.Journal of Machine Learning Research, 17(38):1–15, 2016
Reference 88
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Observation 0dcb719a-d747-44b2-b146-f1a488686726 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Tibshirani
Reference 89
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Observation f8547bd8-49a5-4b90-ad19-77388ed061b5 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Herman.Fundamentals of Computerized Tomography: Image Reconstruction from Projections
Reference 90
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Observation 6861211d-d147-4fa8-acad-d64f3f94f3c4 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Flat minima.Neural Computation, 9(1):1–42, 1997
Reference 91
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Observation 4ffac5ef-f471-462b-b208-aea5c20791e6 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Euclidean information theory of networks
Reference 92
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Observation 8910bdab-3b37-4ab4-8d2c-896f3405fca7 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Hochwald
Reference 93
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Observation 3b8059b7-1722-4d83-a3ef-1cfff72c9bd1 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Optimizer dynamics at the edge of stability with differential privacy, 2025
Reference 94
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Observation a4bca984-bb6f-496e-95ee-29905325a919 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Adversarial examples are not bugs, they are features
Reference 95
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Observation 7df306f3-ffcb-4133-96ce-ba22b247e6c4 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Kakade, Rahul Kidambi, Praneeth Netrapalli, and Aaron Sidford
Reference 96
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Observation d81465bb-9066-41d8-a960-6efb982f71b1 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting James and Charles Stein
Reference 97
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Observation 1a41e5de-bb95-4aea-8691-02e5f0fe6acd · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Three Factors Influencing Minima in SGD
Reference 98
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Observation 3f6b1769-b5f6-4165-ae79-a277d051fc70 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Wornell, and Lizhong Zheng
Reference 99
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Observation 64f44887-eada-4427-ac04-209856775d76 · outbound
The Fourth Quadrant: A Stylized View of Benign Misfitting Jerrum, Leslie G
Reference 100
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