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Theoretical Insights Into Multiclass Classification: A High-dimensional
  Asymptotic View

Theoretical Insights Into Multiclass Classification: A High-dimensional Asymptotic View

Neural Information Processing Systems (NeurIPS), 2020
16 November 2020
Christos Thrampoulidis
Samet Oymak
Mahdi Soltanolkotabi
ArXiv (abs)PDFHTML

Papers citing "Theoretical Insights Into Multiclass Classification: A High-dimensional Asymptotic View"

27 / 27 papers shown
Single-Head Attention in High Dimensions: A Theory of Generalization, Weights Spectra, and Scaling Laws
Single-Head Attention in High Dimensions: A Theory of Generalization, Weights Spectra, and Scaling Laws
Fabrizio Boncoraglio
Vittorio Erba
Emanuele Troiani
Florent Krzakala
Lenka Zdeborová
Lenka Zdeborová
224
0
0
29 Sep 2025
When and How Unlabeled Data Provably Improve In-Context Learning
When and How Unlabeled Data Provably Improve In-Context Learning
Yingcong Li
Xiangyu Chang
Muti Kara
Xiaofeng Liu
Amit K. Roy-Chowdhury
Samet Oymak
424
4
0
18 Jun 2025
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 AlgorithmJournal of Statistical Mechanics: Theory and Experiment (JSTAT), 2024
Xiaosi Gu
Tomoyuki Obuchi
533
0
0
29 Nov 2024
Overfitting Behaviour of Gaussian Kernel Ridgeless Regression: Varying
  Bandwidth or Dimensionality
Overfitting Behaviour of Gaussian Kernel Ridgeless Regression: Varying Bandwidth or DimensionalityNeural Information Processing Systems (NeurIPS), 2024
Marko Medvedev
Gal Vardi
Nathan Srebro
249
9
0
05 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
270
1
0
28 May 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
287
2
0
16 Feb 2024
A Convergence Analysis of Approximate Message Passing with Non-Separable
  Functions and Applications to Multi-Class Classification
A Convergence Analysis of Approximate Message Passing with Non-Separable Functions and Applications to Multi-Class Classification
Burak Çakmak
Yue M. Lu
Manfred Opper
350
4
0
13 Feb 2024
Regularized Linear Regression for Binary Classification
Regularized Linear Regression for Binary ClassificationInternational Symposium on Information Theory (ISIT), 2023
D. Akhtiamov
Reza Ghane
Babak Hassibi
NoLa
250
10
0
03 Nov 2023
Random Matrix Analysis to Balance between Supervised and Unsupervised
  Learning under the Low Density Separation Assumption
Random Matrix Analysis to Balance between Supervised and Unsupervised Learning under the Low Density Separation Assumption
Vasilii Feofanov
Malik Tiomoko
Aladin Virmaux
287
8
0
20 Oct 2023
Noisy Interpolation Learning with Shallow Univariate ReLU Networks
Noisy Interpolation Learning with Shallow Univariate ReLU NetworksInternational Conference on Learning Representations (ICLR), 2023
Nirmit Joshi
Gal Vardi
Nathan Srebro
343
12
0
28 Jul 2023
Multinomial Logistic Regression: Asymptotic Normality on Null Covariates
  in High-Dimensions
Multinomial Logistic Regression: Asymptotic Normality on Null Covariates in High-DimensionsNeural Information Processing Systems (NeurIPS), 2023
Kai Tan
Pierre C. Bellec
286
5
0
28 May 2023
From Tempered to Benign Overfitting in ReLU Neural Networks
From Tempered to Benign Overfitting in ReLU Neural NetworksNeural Information Processing Systems (NeurIPS), 2023
Guy Kornowski
Gilad Yehudai
Ohad Shamir
326
17
0
24 May 2023
Asymptotic Bayes risk of semi-supervised multitask learning on Gaussian
  mixture
Asymptotic Bayes risk of semi-supervised multitask learning on Gaussian mixtureInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Minh-Toan Nguyen
Romain Couillet
284
4
0
03 Mar 2023
Benign Overfitting in Linear Classifiers and Leaky ReLU Networks from
  KKT Conditions for Margin Maximization
Benign Overfitting in Linear Classifiers and Leaky ReLU Networks from KKT Conditions for Margin MaximizationAnnual Conference Computational Learning Theory (COLT), 2023
Spencer Frei
Gal Vardi
Peter L. Bartlett
Nathan Srebro
253
31
0
02 Mar 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
291
32
0
17 Feb 2023
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
394
12
0
21 Oct 2022
SphereFed: Hyperspherical Federated Learning
SphereFed: Hyperspherical Federated LearningEuropean Conference on Computer Vision (ECCV), 2022
Xin Dong
Shanghang Zhang
Ang Li
H. T. Kung
FedML
267
27
0
19 Jul 2022
Generalization for multiclass classification with overparameterized
  linear models
Generalization for multiclass classification with overparameterized linear modelsNeural Information Processing Systems (NeurIPS), 2022
Vignesh Subramanian
Rahul Arya
A. Sahai
AI4CE
259
12
0
03 Jun 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
214
8
0
03 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
387
21
0
22 Mar 2022
Bayesian Inference with Nonlinear Generative Models: Comments on Secure
  Learning
Bayesian Inference with Nonlinear Generative Models: Comments on Secure LearningIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2022
Ali Bereyhi
Bruno Loureiro
Florent Krzakala
R. Muller
H. Schulz-Baldes
445
2
0
19 Jan 2022
On the Regularization of Autoencoders
On the Regularization of Autoencoders
Harald Steck
Dario Garcia-Garcia
SSLAI4CE
292
4
0
21 Oct 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
350
55
0
21 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
325
69
0
07 Jun 2021
Fit without fear: remarkable mathematical phenomena of deep learning
  through the prism of interpolation
Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolationActa Numerica (AN), 2021
M. Belkin
295
219
0
29 May 2021
Fine-grained Generalization Analysis of Vector-valued Learning
Fine-grained Generalization Analysis of Vector-valued LearningAAAI Conference on Artificial Intelligence (AAAI), 2021
Liang Wu
Antoine Ledent
Yunwen Lei
Matthias Kirchler
200
11
0
29 Apr 2021
A Concentration of Measure Framework to study convex problems and other
  implicit formulation problems in machine learning
A Concentration of Measure Framework to study convex problems and other implicit formulation problems in machine learning
Cosme Louart
333
0
0
19 Oct 2020
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