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Related papers: Optimal Learners for Multiclass Problems

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The multi-group learning model formalizes the learning scenario in which a single predictor must generalize well on multiple, possibly overlapping subgroups of interest. We extend the study of multi-group learning to the natural case where…

Machine Learning · Computer Science 2024-06-13 Samuel Deng , Daniel Hsu

We analyze the local Rademacher complexity of empirical risk minimization (ERM)-based multi-label learning algorithms, and in doing so propose a new algorithm for multi-label learning. Rather than using the trace norm to regularize the…

Machine Learning · Statistics 2014-10-28 Chang Xu , Tongliang Liu , Dacheng Tao , Chao Xu

Empirical risk minimization (ERM) is the workhorse of machine learning, whether for classification and regression or for off-policy policy learning, but its model-agnostic guarantees can fail when we use adaptively collected data, such as…

Machine Learning · Statistics 2021-06-04 Aurélien Bibaut , Antoine Chambaz , Maria Dimakopoulou , Nathan Kallus , Mark van der Laan

Mixed linear regression is a well-studied problem in parametric statistics and machine learning. Given a set of samples, tuples of covariates and labels, the task of mixed linear regression is to find a small list of linear relationships…

Machine Learning · Statistics 2024-06-04 Avishek Ghosh , Arya Mazumdar

We prove risk bounds for binary classification in high-dimensional settings when the sample size is allowed to be smaller than the dimensionality of the training set observations. In particular, we prove upper bounds for both 'compressive…

Statistics Theory · Mathematics 2017-09-29 Ata Kaban , Robert J. Durrant

The empirical risk minimization (ERM) principle has been highly impactful in machine learning, leading both to near-optimal theoretical guarantees for ERM-based learning algorithms as well as driving many of the recent empirical successes…

Machine Learning · Computer Science 2025-02-25 Constantinos Daskalakis , Noah Golowich

One of the most studied machine learning challenges that recent studies have shown the susceptibility of deep neural networks to is the class imbalance problem. While concerted research efforts in this direction have been notable in recent…

Designing models that are both expressive and preserve known invariances of tasks is an increasingly hard problem. Existing solutions tradeoff invariance for computational or memory resources. In this work, we show how to leverage…

Machine Learning · Computer Science 2023-09-29 Leonardo Cotta , Gal Yehuda , Assaf Schuster , Chris J. Maddison

An earlier introduced characterization of nonuniform learnability that allows the sample size to depend on the hypothesis to which the learner is compared has been redefined using the measure theoretic approach. Where nonuniform…

Machine Learning · Computer Science 2020-11-03 Ankit Bandyopadhyay

Can we learn a multi-class classifier from only data of a single class? We show that without any assumptions on the loss functions, models, and optimizers, we can successfully learn a multi-class classifier from only data of a single class…

Machine Learning · Computer Science 2021-06-17 Yuzhou Cao , Lei Feng , Senlin Shu , Yitian Xu , Bo An , Gang Niu , Masashi Sugiyama

We present a new algorithm for general reinforcement learning where the true environment is known to belong to a finite class of N arbitrary models. The algorithm is shown to be near-optimal for all but O(N log^2 N) time-steps with high…

Machine Learning · Computer Science 2013-08-23 Tor Lattimore , Marcus Hutter , Peter Sunehag

Entity Matching (EM) is a core data cleaning task, aiming to identify different mentions of the same real-world entity. Active learning is one way to address the challenge of scarce labeled data in practice, by dynamically collecting the…

Databases · Computer Science 2020-03-31 Venkata Vamsikrishna Meduri , Lucian Popa , Prithviraj Sen , Mohamed Sarwat

Contrastive Representation Learning (CRL) has achieved strong empirical success in multiple machine learning disciplines, yet its theoretical sample complexity remains poorly understood. Existing analyses usually assume that input tuples…

Machine Learning · Statistics 2026-05-29 Nong Minh Hieu , Antoine Ledent

Numbers and numerical vectors account for a large portion of data. However, recently the amount of string data generated has increased dramatically. Consequently, classifying string data is a common problem in many fields. The most widely…

Machine Learning · Statistics 2016-02-24 Hitoshi Koyano , Morihiro Hayashida , Tatsuya Akutsu

In this paper a high speed neural network classifier based on extreme learning machines for multi-label classification problem is proposed and dis-cussed. Multi-label classification is a superset of traditional binary and multi-class…

Machine Learning · Computer Science 2016-09-06 Meng Joo Er , Rajasekar Venkatesan , Ning Wang

Latent class model (LCM), which is a finite mixture of different categorical distributions, is one of the most widely used models in statistics and machine learning fields. Because of its non-continuous nature and the flexibility in shape,…

Machine Learning · Statistics 2021-03-23 Hao Chen , Lanshan Han , Alvin Lim

In multiclass classification, the goal is to learn how to predict a random label $Y$, valued in $\mathcal{Y}=\{1,\; \ldots,\; K \}$ with $K\geq 3$, based upon observing a r.v. $X$, taking its values in $\mathbb{R}^q$ with $q\geq 1$ say, by…

Machine Learning · Statistics 2020-02-24 Stephan Clémençon , Robin Vogel

This work studies the general principles of improving the learning of language models (LMs), which aims at reducing the necessary training steps for achieving superior performance. Specifically, we present a theory for the optimal learning…

Computation and Language · Computer Science 2024-03-05 Yuxian Gu , Li Dong , Yaru Hao , Qingxiu Dong , Minlie Huang , Furu Wei

Multi-distribution learning (MDL), which seeks to learn a shared model that minimizes the worst-case risk across $k$ distinct data distributions, has emerged as a unified framework in response to the evolving demand for robustness,…

Machine Learning · Computer Science 2025-08-12 Zihan Zhang , Wenhao Zhan , Yuxin Chen , Simon S. Du , Jason D. Lee

This work considers the problem of binary classification: given training data $x_1, \dots, x_n$ from a certain population, together with associated labels $y_1,\dots, y_n \in \left\{0,1 \right\}$, determine the best label for an element $x$…

Statistics Theory · Mathematics 2016-07-04 Nicolas Garcia Trillos , Ryan Murray