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A Precise High-Dimensional Asymptotic Theory for Boosting and
  Minimum-$\ell_1$-Norm Interpolated Classifiers
v1v2v3 (latest)

A Precise High-Dimensional Asymptotic Theory for Boosting and Minimum-ℓ1\ell_1ℓ1​-Norm Interpolated Classifiers

Social Science Research Network (SSRN), 2020
5 February 2020
Tengyuan Liang
Pragya Sur
ArXiv (abs)PDFHTML

Papers citing "A Precise High-Dimensional Asymptotic Theory for Boosting and Minimum-$\ell_1$-Norm Interpolated Classifiers"

50 / 51 papers shown
One-Bit Quantization for Random Features Models
One-Bit Quantization for Random Features Models
D. Akhtiamov
Reza Ghane
B. Hassibi
MQ
173
0
0
17 Oct 2025
Preventing Model Collapse Under Overparametrization: Optimal Mixing Ratios for Interpolation Learning and Ridge Regression
Preventing Model Collapse Under Overparametrization: Optimal Mixing Ratios for Interpolation Learning and Ridge Regression
Anvit Garg
Sohom Bhattacharya
Pragya Sur
176
3
0
26 Sep 2025
Certified Data Removal Under High-dimensional Settings
Certified Data Removal Under High-dimensional Settings
Haolin Zou
Arnab Auddy
Yongchan Kwon
Kamiar Rahnama Rad
A. Maleki
MU
298
5
0
12 May 2025
A Near Complete Nonasymptotic Generalization Theory For Multilayer Neural Networks: Beyond the Bias-Variance Tradeoff
Hao Yu
Xiangyang Ji
AI4CE
247
0
0
03 Mar 2025
Universality of Estimator for High-Dimensional Linear Models with Block
  Dependency
Universality of Estimator for High-Dimensional Linear Models with Block Dependency
Toshiki Tsuda
Masaaki Imaizumi
226
0
0
25 Oct 2024
Building Conformal Prediction Intervals with Approximate Message Passing
Building Conformal Prediction Intervals with Approximate Message PassingConference on Uncertainty in Artificial Intelligence (UAI), 2024
Lucas Clarté
Lenka Zdeborová
217
1
0
21 Oct 2024
ROTI-GCV: Generalized Cross-Validation for right-ROTationally Invariant Data
ROTI-GCV: Generalized Cross-Validation for right-ROTationally Invariant DataInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2024
Kevin Luo
Yufan Li
Pragya Sur
452
5
0
17 Jun 2024
Asymptotics of Learning with Deep Structured (Random) Features
Asymptotics of Learning with Deep Structured (Random) Features
Dominik Schröder
Daniil Dmitriev
Hugo Cui
Bruno Loureiro
290
11
0
21 Feb 2024
Theoretical Analysis of Leave-one-out Cross Validation for
  Non-differentiable Penalties under High-dimensional Settings
Theoretical Analysis of Leave-one-out Cross Validation for Non-differentiable Penalties under High-dimensional Settings
Haolin Zou
Arnab Auddy
Kamiar Rahnama Rad
A. Maleki
323
5
0
13 Feb 2024
Universality in block dependent linear models with applications to
  nonparametric regression
Universality in block dependent linear models with applications to nonparametric regression
Samriddha Lahiry
Pragya Sur
366
3
0
30 Dec 2023
Universality of max-margin classifiers
Universality of max-margin classifiers
Andrea Montanari
Feng Ruan
Basil Saeed
Youngtak Sohn
259
5
0
29 Sep 2023
Unraveling Projection Heads in Contrastive Learning: Insights from
  Expansion and Shrinkage
Unraveling Projection Heads in Contrastive Learning: Insights from Expansion and Shrinkage
Yu Gui
Cong Ma
Yiqiao Zhong
261
9
0
06 Jun 2023
Universality laws for Gaussian mixtures in generalized linear models
Universality laws for Gaussian mixtures in generalized linear modelsNeural Information Processing Systems (NeurIPS), 2023
Yatin Dandi
Ludovic Stephan
Florent Krzakala
Bruno Loureiro
Lenka Zdeborová
FedML
266
31
0
17 Feb 2023
Deterministic equivalent and error universality of deep random features
  learning
Deterministic equivalent and error universality of deep random features learningInternational Conference on Machine Learning (ICML), 2023
Dominik Schröder
Hugo Cui
Daniil Dmitriev
Bruno Loureiro
MLT
311
35
0
01 Feb 2023
Tight bounds for maximum $\ell_1$-margin classifiers
Tight bounds for maximum ℓ1\ell_1ℓ1​-margin classifiers
Stefan Stojanovic
Konstantin Donhauser
Fanny Yang
356
0
0
07 Dec 2022
Blessings and Curses of Covariate Shifts: Adversarial Learning Dynamics,
  Directional Convergence, and Equilibria
Blessings and Curses of Covariate Shifts: Adversarial Learning Dynamics, Directional Convergence, and EquilibriaJournal of machine learning research (JMLR), 2022
Tengyuan Liang
454
3
0
05 Dec 2022
A Non-Asymptotic Moreau Envelope Theory for High-Dimensional Generalized
  Linear Models
A Non-Asymptotic Moreau Envelope Theory for High-Dimensional Generalized Linear ModelsNeural Information Processing Systems (NeurIPS), 2022
Lijia Zhou
Frederic Koehler
Pragya Sur
Danica J. Sutherland
Nathan Srebro
344
11
0
21 Oct 2022
Equivalence of state equations from different methods in
  High-dimensional Regression
Equivalence of state equations from different methods in High-dimensional Regression
Saidi Luo
Songtao Tian
258
0
0
25 Sep 2022
Deep Linear Networks can Benignly Overfit when Shallow Ones Do
Deep Linear Networks can Benignly Overfit when Shallow Ones DoJournal of machine learning research (JMLR), 2022
Niladri S. Chatterji
Philip M. Long
256
11
0
19 Sep 2022
On how to avoid exacerbating spurious correlations when models are
  overparameterized
On how to avoid exacerbating spurious correlations when models are overparameterizedInternational Symposium on Information Theory (ISIT), 2022
Tina Behnia
Ke Wang
Christos Thrampoulidis
260
4
0
25 Jun 2022
High-dimensional Asymptotics of Langevin Dynamics in Spiked Matrix
  Models
High-dimensional Asymptotics of Langevin Dynamics in Spiked Matrix ModelsInformation and Inference A Journal of the IMA (JIII), 2022
Tengyuan Liang
Subhabrata Sen
Pragya Sur
184
9
0
09 Apr 2022
Random Features Model with General Convex Regularization: A Fine Grained
  Analysis with Precise Asymptotic Learning Curves
Random Features Model with General Convex Regularization: A Fine Grained Analysis with Precise Asymptotic Learning CurvesInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2022
David Bosch
Ashkan Panahi
Ayça Özçelikkale
Devdatt Dubhash
MLT
328
3
0
06 Apr 2022
A Modern Theory for High-dimensional Cox Regression Models
A Modern Theory for High-dimensional Cox Regression Models
Xianyang Zhang
Huijuan Zhou
Hanxuan Ye
174
8
0
03 Apr 2022
Benign Overfitting without Linearity: Neural Network Classifiers Trained by Gradient Descent for Noisy Linear Data
Benign Overfitting without Linearity: Neural Network Classifiers Trained by Gradient Descent for Noisy Linear DataAnnual Conference Computational Learning Theory (COLT), 2022
Spencer Frei
Niladri S. Chatterji
Peter L. Bartlett
MLT
574
89
0
11 Feb 2022
Theoretical characterization of uncertainty in high-dimensional linear
  classification
Theoretical characterization of uncertainty in high-dimensional linear classification
Lucas Clarté
Bruno Loureiro
Florent Krzakala
Lenka Zdeborová
313
23
0
07 Feb 2022
Noisy linear inverse problems under convex constraints: Exact risk
  asymptotics in high dimensions
Noisy linear inverse problems under convex constraints: Exact risk asymptotics in high dimensionsAnnals of Statistics (Ann. Stat.), 2022
Q. Han
249
6
0
20 Jan 2022
Optimistic Rates: A Unifying Theory for Interpolation Learning and
  Regularization in Linear Regression
Optimistic Rates: A Unifying Theory for Interpolation Learning and Regularization in Linear Regression
Lijia Zhou
Frederic Koehler
Danica J. Sutherland
Nathan Srebro
308
28
0
08 Dec 2021
On Optimal Interpolation In Linear Regression
On Optimal Interpolation In Linear RegressionNeural Information Processing Systems (NeurIPS), 2021
Eduard Oravkin
Patrick Rebeschini
153
4
0
21 Oct 2021
A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of
  Overparameterized Machine Learning
A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of Overparameterized Machine Learning
Yehuda Dar
Vidya Muthukumar
Richard G. Baraniuk
296
79
0
06 Sep 2021
Benign Overfitting in Multiclass Classification: All Roads Lead to
  Interpolation
Benign Overfitting in Multiclass Classification: All Roads Lead to InterpolationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2021
Ke Wang
Vidya Muthukumar
Christos Thrampoulidis
321
54
0
21 Jun 2021
Nonasymptotic theory for two-layer neural networks: Beyond the
  bias-variance trade-off
Nonasymptotic theory for two-layer neural networks: Beyond the bias-variance trade-off
Huiyuan Wang
Wei Lin
MLT
202
5
0
09 Jun 2021
Learning Gaussian Mixtures with Generalised Linear Models: Precise
  Asymptotics in High-dimensions
Learning Gaussian Mixtures with Generalised Linear Models: Precise Asymptotics in High-dimensionsNeural Information Processing Systems (NeurIPS), 2021
Bruno Loureiro
G. Sicuro
Cédric Gerbelot
Alessandro Pacco
Florent Krzakala
Lenka Zdeborová
274
67
0
07 Jun 2021
Support vector machines and linear regression coincide with very
  high-dimensional features
Support vector machines and linear regression coincide with very high-dimensional featuresNeural Information Processing Systems (NeurIPS), 2021
Navid Ardeshir
Clayton Sanford
Daniel J. Hsu
210
32
0
28 May 2021
AdaBoost and robust one-bit compressed sensing
AdaBoost and robust one-bit compressed sensingMathematical Statistics and Learning (MSL), 2021
Geoffrey Chinot
Felix Kuchelmeister
Matthias Löffler
Sara van de Geer
472
7
0
05 May 2021
Universal Prediction Band via Semi-Definite Programming
Universal Prediction Band via Semi-Definite ProgrammingSocial Science Research Network (SSRN), 2021
Tengyuan Liang
259
2
0
31 Mar 2021
Minimum complexity interpolation in random features models
Minimum complexity interpolation in random features models
Michael Celentano
Theodor Misiakiewicz
Andrea Montanari
219
4
0
30 Mar 2021
On the interplay between data structure and loss function in
  classification problems
On the interplay between data structure and loss function in classification problemsNeural Information Processing Systems (NeurIPS), 2021
Stéphane dÁscoli
Marylou Gabrié
Levent Sagun
Giulio Biroli
298
17
0
09 Mar 2021
Label-Imbalanced and Group-Sensitive Classification under
  Overparameterization
Label-Imbalanced and Group-Sensitive Classification under OverparameterizationNeural Information Processing Systems (NeurIPS), 2021
Ganesh Ramachandra Kini
Orestis Paraskevas
Samet Oymak
Christos Thrampoulidis
548
113
0
02 Mar 2021
Interpolating Classifiers Make Few Mistakes
Interpolating Classifiers Make Few MistakesJournal of machine learning research (JMLR), 2021
Tengyuan Liang
Benjamin Recht
250
30
0
28 Jan 2021
Provable Benefits of Overparameterization in Model Compression: From
  Double Descent to Pruning Neural Networks
Provable Benefits of Overparameterization in Model Compression: From Double Descent to Pruning Neural NetworksAAAI Conference on Artificial Intelligence (AAAI), 2020
Xiangyu Chang
Yingcong Li
Samet Oymak
Christos Thrampoulidis
309
58
0
16 Dec 2020
On the robustness of minimum norm interpolators and regularized
  empirical risk minimizers
On the robustness of minimum norm interpolators and regularized empirical risk minimizersAnnals of Statistics (Ann. Stat.), 2020
Geoffrey Chinot
Matthias Löffler
Sara van de Geer
399
22
0
01 Dec 2020
Theoretical Insights Into Multiclass Classification: A High-dimensional
  Asymptotic View
Theoretical Insights Into Multiclass Classification: A High-dimensional Asymptotic ViewNeural Information Processing Systems (NeurIPS), 2020
Christos Thrampoulidis
Samet Oymak
Mahdi Soltanolkotabi
253
45
0
16 Nov 2020
$σ$-Ridge: group regularized ridge regression via empirical Bayes
  noise level cross-validation
σσσ-Ridge: group regularized ridge regression via empirical Bayes noise level cross-validation
Nikolaos Ignatiadis
Panagiotis Lolas
242
5
0
29 Oct 2020
Precise High-Dimensional Asymptotics for Quantifying Heterogeneous Transfers
Precise High-Dimensional Asymptotics for Quantifying Heterogeneous Transfers
Fan Yang
Hongyang R. Zhang
Sen Wu
Christopher Ré
Weijie J. Su
515
22
0
22 Oct 2020
Precise Statistical Analysis of Classification Accuracies for
  Adversarial Training
Precise Statistical Analysis of Classification Accuracies for Adversarial Training
Adel Javanmard
Mahdi Soltanolkotabi
AAML
428
68
0
21 Oct 2020
A Power Analysis of the Conditional Randomization Test and Knockoffs
A Power Analysis of the Conditional Randomization Test and Knockoffs
Wenshuo Wang
Lucas Janson
213
10
0
05 Oct 2020
The Lasso with general Gaussian designs with applications to hypothesis
  testing
The Lasso with general Gaussian designs with applications to hypothesis testingAnnals of Statistics (Ann. Stat.), 2020
Michael Celentano
Andrea Montanari
Yuting Wei
563
70
0
27 Jul 2020
Finite-sample Analysis of Interpolating Linear Classifiers in the
  Overparameterized Regime
Finite-sample Analysis of Interpolating Linear Classifiers in the Overparameterized RegimeJournal of machine learning research (JMLR), 2020
Niladri S. Chatterji
Philip M. Long
271
115
0
25 Apr 2020
Mehler's Formula, Branching Process, and Compositional Kernels of Deep
  Neural Networks
Mehler's Formula, Branching Process, and Compositional Kernels of Deep Neural NetworksJournal of the American Statistical Association (JASA), 2020
Tengyuan Liang
Hai Tran-Bach
178
11
0
09 Apr 2020
Overfitting Can Be Harmless for Basis Pursuit, But Only to a Degree
Overfitting Can Be Harmless for Basis Pursuit, But Only to a Degree
Peizhong Ju
Xiaojun Lin
Jia Liu
297
7
0
02 Feb 2020
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