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The role of regularization in classification of high-dimensional noisy
  Gaussian mixture

The role of regularization in classification of high-dimensional noisy Gaussian mixture

26 February 2020
Francesca Mignacco
Florent Krzakala
Yue M. Lu
Lenka Zdeborová
ArXiv (abs)PDFHTML

Papers citing "The role of regularization in classification of high-dimensional noisy Gaussian mixture"

50 / 58 papers shown
Title
High-order Regularization for Machine Learning and Learning-based Control
High-order Regularization for Machine Learning and Learning-based Control
Xinghua Liu
Ming Cao
54
0
0
13 May 2025
The Double Descent Behavior in Two Layer Neural Network for Binary Classification
The Double Descent Behavior in Two Layer Neural Network for Binary Classification
Chathurika S Abeykoon
A. Beknazaryan
Hailin Sang
139
1
0
27 Apr 2025
Statistical physics analysis of graph neural networks: Approaching optimality in the contextual stochastic block model
Statistical physics analysis of graph neural networks: Approaching optimality in the contextual stochastic block model
O. Duranthon
L. Zdeborová
116
0
0
03 Mar 2025
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Samet Demir
Zafer Dogan
MLT
94
0
0
02 Mar 2025
The Effect of Optimal Self-Distillation in Noisy Gaussian Mixture Model
The Effect of Optimal Self-Distillation in Noisy Gaussian Mixture Model
Kaito Takanami
Takashi Takahashi
Ayaka Sakata
155
1
0
27 Jan 2025
Class Imbalance in Anomaly Detection: Learning from an Exactly Solvable Model
Class Imbalance in Anomaly Detection: Learning from an Exactly Solvable Model
F.S. Pezzicoli
V. Ros
F.P. Landes
M. Baity-Jesi
98
1
0
20 Jan 2025
A High Dimensional Statistical Model for Adversarial Training: Geometry and Trade-Offs
A High Dimensional Statistical Model for Adversarial Training: Geometry and Trade-Offs
Kasimir Tanner
Matteo Vilucchio
Bruno Loureiro
Florent Krzakala
AAML
105
1
0
31 Dec 2024
Analysis of High-dimensional Gaussian Labeled-unlabeled Mixture Model via Message-passing Algorithm
Analysis of High-dimensional Gaussian Labeled-unlabeled Mixture Model via Message-passing Algorithm
Xiaosi Gu
Tomoyuki Obuchi
139
0
0
29 Nov 2024
Statistical Inference in Classification of High-dimensional Gaussian
  Mixture
Statistical Inference in Classification of High-dimensional Gaussian Mixture
Hanwen Huang
Peng Zeng
49
0
0
25 Oct 2024
When resampling/reweighting improves feature learning in imbalanced classification?: A toy-model study
When resampling/reweighting improves feature learning in imbalanced classification?: A toy-model study
Tomoyuki Obuchi
Toshiyuki Tanaka
134
0
0
09 Sep 2024
Classifying Overlapping Gaussian Mixtures in High Dimensions: From
  Optimal Classifiers to Neural Nets
Classifying Overlapping Gaussian Mixtures in High Dimensions: From Optimal Classifiers to Neural Nets
Khen Cohen
Noam Levi
Yaron Oz
BDL
79
1
0
28 May 2024
Restoring balance: principled under/oversampling of data for optimal classification
Restoring balance: principled under/oversampling of data for optimal classification
Emanuele Loffredo
Mauro Pastore
Simona Cocco
R. Monasson
112
9
0
15 May 2024
A replica analysis of under-bagging
A replica analysis of under-bagging
Takashi Takahashi
140
3
0
15 Apr 2024
One-Bit Quantization and Sparsification for Multiclass Linear
  Classification via Regularized Regression
One-Bit Quantization and Sparsification for Multiclass Linear Classification via Regularized Regression
Reza Ghane
D. Akhtiamov
Babak Hassibi
57
1
0
16 Feb 2024
Asymptotics of feature learning in two-layer networks after one
  gradient-step
Asymptotics of feature learning in two-layer networks after one gradient-step
Hugo Cui
Luca Pesce
Yatin Dandi
Florent Krzakala
Yue M. Lu
Lenka Zdeborová
Bruno Loureiro
MLT
135
19
0
07 Feb 2024
A phase transition between positional and semantic learning in a
  solvable model of dot-product attention
A phase transition between positional and semantic learning in a solvable model of dot-product attention
Hugo Cui
Freya Behrens
Florent Krzakala
Lenka Zdeborová
MLT
98
16
0
06 Feb 2024
Asymptotic generalization error of a single-layer graph convolutional
  network
Asymptotic generalization error of a single-layer graph convolutional network
O. Duranthon
L. Zdeborová
MLT
92
2
0
06 Feb 2024
The twin peaks of learning neural networks
The twin peaks of learning neural networks
Elizaveta Demyanenko
Christoph Feinauer
Enrico M. Malatesta
Luca Saglietti
62
0
0
23 Jan 2024
Regularized Linear Regression for Binary Classification
Regularized Linear Regression for Binary Classification
D. Akhtiamov
Reza Ghane
Babak Hassibi
NoLa
78
3
0
03 Nov 2023
Efficient Learning of Minimax Risk Classifiers in High Dimensions
Efficient Learning of Minimax Risk Classifiers in High Dimensions
Kartheek Bondugula
Santiago Mazuelas
Aritz Pérez Martínez
36
0
0
11 Jun 2023
Least Squares Regression Can Exhibit Under-Parameterized Double Descent
Least Squares Regression Can Exhibit Under-Parameterized Double Descent
Xinyue Li
Rishi Sonthalia
117
3
0
24 May 2023
Classification of Heavy-tailed Features in High Dimensions: a
  Superstatistical Approach
Classification of Heavy-tailed Features in High Dimensions: a Superstatistical Approach
Urte Adomaityte
G. Sicuro
P. Vivo
71
10
0
06 Apr 2023
Asymptotic Bayes risk of semi-supervised multitask learning on Gaussian
  mixture
Asymptotic Bayes risk of semi-supervised multitask learning on Gaussian mixture
Minh-Toan Nguyen
Romain Couillet
65
4
0
03 Mar 2023
Universality laws for Gaussian mixtures in generalized linear models
Universality laws for Gaussian mixtures in generalized linear models
Yatin Dandi
Ludovic Stephan
Florent Krzakala
Bruno Loureiro
Lenka Zdeborová
FedML
102
23
0
17 Feb 2023
Are Gaussian data all you need? Extents and limits of universality in
  high-dimensional generalized linear estimation
Are Gaussian data all you need? Extents and limits of universality in high-dimensional generalized linear estimation
Luca Pesce
Florent Krzakala
Bruno Loureiro
Ludovic Stephan
98
28
0
17 Feb 2023
Homophily modulates double descent generalization in graph convolution
  networks
Homophily modulates double descent generalization in graph convolution networks
Chengzhi Shi
Liming Pan
Hong Hu
Ivan Dokmanić
107
9
0
26 Dec 2022
Neural networks trained with SGD learn distributions of increasing
  complexity
Neural networks trained with SGD learn distributions of increasing complexity
Maria Refinetti
Alessandro Ingrosso
Sebastian Goldt
UQCV
141
43
0
21 Nov 2022
Monotonicity and Double Descent in Uncertainty Estimation with Gaussian
  Processes
Monotonicity and Double Descent in Uncertainty Estimation with Gaussian Processes
Liam Hodgkinson
Christopher van der Heide
Fred Roosta
Michael W. Mahoney
UQCV
83
6
0
14 Oct 2022
Benign Overfitting in Classification: Provably Counter Label Noise with
  Larger Models
Benign Overfitting in Classification: Provably Counter Label Noise with Larger Models
Kaiyue Wen
Jiaye Teng
J.N. Zhang
NoLa
58
5
0
01 Jun 2022
Gaussian Universality of Perceptrons with Random Labels
Gaussian Universality of Perceptrons with Random Labels
Federica Gerace
Florent Krzakala
Bruno Loureiro
Ludovic Stephan
Lenka Zdeborová
107
24
0
26 May 2022
Fundamental limits to learning closed-form mathematical models from data
Fundamental limits to learning closed-form mathematical models from data
Oscar Fajardo-Fontiveros
I. Reichardt
Harry R. De Los Ríos
Jordi Duch
Marta Sales-Pardo
Roger Guimerà
98
19
0
06 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 Curves
David Bosch
Ashkan Panahi
Ayça Özçelikkale
Devdatt Dubhash
MLT
97
2
0
06 Apr 2022
Learning curves for the multi-class teacher-student perceptron
Learning curves for the multi-class teacher-student perceptron
Elisabetta Cornacchia
Francesca Mignacco
R. Veiga
Cédric Gerbelot
Bruno Loureiro
Lenka Zdeborová
95
21
0
22 Mar 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
91
21
0
07 Feb 2022
Bayesian Inference with Nonlinear Generative Models: Comments on Secure
  Learning
Bayesian Inference with Nonlinear Generative Models: Comments on Secure Learning
Ali Bereyhi
Bruno Loureiro
Florent Krzakala
R. Muller
H. Schulz-Baldes
81
2
0
19 Jan 2022
Optimal regularizations for data generation with probabilistic graphical
  models
Optimal regularizations for data generation with probabilistic graphical models
Arnaud Fanthomme
Francesca Rizzato
Simona Cocco
R. Monasson
69
3
0
02 Dec 2021
Information-Theoretic Characterization of the Generalization Error for
  Iterative Semi-Supervised Learning
Information-Theoretic Characterization of the Generalization Error for Iterative Semi-Supervised Learning
Haiyun He
Hanshu Yan
Vincent Y. F. Tan
109
11
0
03 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
117
72
0
06 Sep 2021
Learning Gaussian Mixtures with Generalised Linear Models: Precise
  Asymptotics in High-dimensions
Learning Gaussian Mixtures with Generalised Linear Models: Precise Asymptotics in High-dimensions
Bruno Loureiro
G. Sicuro
Cédric Gerbelot
Alessandro Pacco
Florent Krzakala
Lenka Zdeborová
78
62
0
07 Jun 2021
Minimum complexity interpolation in random features models
Minimum complexity interpolation in random features models
Michael Celentano
Theodor Misiakiewicz
Andrea Montanari
59
4
0
30 Mar 2021
The Common Intuition to Transfer Learning Can Win or Lose: Case Studies
  for Linear Regression
The Common Intuition to Transfer Learning Can Win or Lose: Case Studies for Linear Regression
Yehuda Dar
Daniel LeJeune
Richard G. Baraniuk
MLT
52
5
0
09 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 problems
Stéphane dÁscoli
Marylou Gabrié
Levent Sagun
Giulio Biroli
100
17
0
09 Mar 2021
Label-Imbalanced and Group-Sensitive Classification under
  Overparameterization
Label-Imbalanced and Group-Sensitive Classification under Overparameterization
Ganesh Ramachandra Kini
Orestis Paraskevas
Samet Oymak
Christos Thrampoulidis
129
96
0
02 Mar 2021
Classifying high-dimensional Gaussian mixtures: Where kernel methods
  fail and neural networks succeed
Classifying high-dimensional Gaussian mixtures: Where kernel methods fail and neural networks succeed
Maria Refinetti
Sebastian Goldt
Florent Krzakala
Lenka Zdeborová
92
74
0
23 Feb 2021
On the Inherent Regularization Effects of Noise Injection During
  Training
On the Inherent Regularization Effects of Noise Injection During Training
Oussama Dhifallah
Yue M. Lu
61
30
0
15 Feb 2021
Phase Transitions in Transfer Learning for High-Dimensional Perceptrons
Phase Transitions in Transfer Learning for High-Dimensional Perceptrons
Oussama Dhifallah
Yue M. Lu
96
20
0
06 Jan 2021
Solvable Model for Inheriting the Regularization through Knowledge
  Distillation
Solvable Model for Inheriting the Regularization through Knowledge Distillation
Luca Saglietti
Lenka Zdeborová
53
20
0
01 Dec 2020
Binary Classification of Gaussian Mixtures: Abundance of Support
  Vectors, Benign Overfitting and Regularization
Binary Classification of Gaussian Mixtures: Abundance of Support Vectors, Benign Overfitting and Regularization
Ke Wang
Christos Thrampoulidis
101
29
0
18 Nov 2020
Theoretical Insights Into Multiclass Classification: A High-dimensional
  Asymptotic View
Theoretical Insights Into Multiclass Classification: A High-dimensional Asymptotic View
Christos Thrampoulidis
Samet Oymak
Mahdi Soltanolkotabi
73
43
0
16 Nov 2020
Precise Statistical Analysis of Classification Accuracies for
  Adversarial Training
Precise Statistical Analysis of Classification Accuracies for Adversarial Training
Adel Javanmard
Mahdi Soltanolkotabi
AAML
110
63
0
21 Oct 2020
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