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A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

Machine Learning · Computer Science 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

Normalization Layers (NLs) are widely used in modern deep-learning architectures. Despite their apparent simplicity, their effect on optimization is not yet fully understood. This paper introduces a spherical framework to study the…

Machine Learning · Computer Science 2022-05-20 Simon Roburin , Yann de Mont-Marin , Andrei Bursuc , Renaud Marlet , Patrick Pérez , Mathieu Aubry

The notion of margin loss has been central to the development and analysis of algorithms for binary classification. To date, however, there remains no consensus as to the analogue of the margin loss for multiclass classification. In this…

Machine Learning · Statistics 2024-05-20 Yutong Wang , Clayton Scott

We present a novel framework to exploit privileged information for recognition which is provided only during the training phase. Here, we focus on recognition task where images are provided as the main view and soft biometric traits…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Seyed Mehdi Iranmanesh , Ali Dabouei , Nasser M. Nasrabadi

Classification trees continue to be widely adopted in machine learning applications due to their inherently interpretable nature and scalability. We propose a rolling subtree lookahead algorithm that combines the relative scalability of the…

Machine Learning · Computer Science 2023-04-24 Zeynel Batuhan Organ , Enis Kayış , Taghi Khaniyev

This study introduces the Misclassification Likelihood Matrix (MLM) as a novel tool for quantifying the reliability of neural network predictions under distribution shifts. The MLM is obtained by leveraging softmax outputs and clustering…

Contemporary machine learning applications often involve classification tasks with many classes. Despite their extensive use, a precise understanding of the statistical properties and behavior of classification algorithms is still missing,…

Machine Learning · Computer Science 2020-11-17 Christos Thrampoulidis , Samet Oymak , Mahdi Soltanolkotabi

We analyze the properties of gradient descent on convex surrogates for the zero-one loss for the agnostic learning of linear halfspaces. If $\mathsf{OPT}$ is the best classification error achieved by a halfspace, by appealing to the notion…

Machine Learning · Computer Science 2021-02-16 Spencer Frei , Yuan Cao , Quanquan Gu

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

Large language models based on self-attention mechanisms have achieved astonishing performances not only in natural language itself, but also in a variety of tasks of different nature. However, regarding processing language, our human brain…

Computation and Language · Computer Science 2024-04-18 Chan Li , Junbin Qiu , Haiping Huang

We present a new approach, called meta-meta classification, to learning in small-data settings. In this approach, one uses a large set of learning problems to design an ensemble of learners, where each learner has high bias and low variance…

Machine Learning · Computer Science 2020-06-16 Arkabandhu Chowdhury , Dipak Chaudhari , Swarat Chaudhuri , Chris Jermaine

Context: The huge and still rapidly growing amount of galaxies in modern sky surveys raises the need of an automated and objective classification method. Unsupervised learning algorithms are of particular interest, since they discover…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Rene Andrae , Peter Melchior , Matthias Bartelmann

Based on the manifold hypothesis, real-world data often lie on a low-dimensional manifold, while normalizing flows as a likelihood-based generative model are incapable of finding this manifold due to their structural constraints. So, one…

Machine Learning · Computer Science 2022-06-08 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

We study fairness in Machine Learning (FairML) through the lens of attribute-based explanations generated for machine learning models. Our hypothesis is: Biased Models have Biased Explanations. To establish that, we first translate existing…

Machine Learning · Computer Science 2020-12-22 Aditya Jain , Manish Ravula , Joydeep Ghosh

In this paper, we provide new theoretical results on the generalization properties of learning algorithms for multiclass classification problems. The originality of our work is that we propose to use the confusion matrix of a classifier as…

Machine Learning · Computer Science 2012-05-25 Pierre Machart , Liva Ralaivola

Explaining the output of a deep network remains a challenge. In the case of an image classifier, one type of explanation is to identify pixels that strongly influence the final decision. A starting point for this strategy is the gradient of…

Machine Learning · Computer Science 2017-06-14 Daniel Smilkov , Nikhil Thorat , Been Kim , Fernanda Viégas , Martin Wattenberg

Classifiers label data as belonging to one of a set of groups based on input features. It is challenging to obtain accurate classification performance when the feature distributions in the different classes are complex, with nonlinear,…

Machine Learning · Statistics 2021-10-06 Didong Li , David B Dunson

We study the problem of learning local metrics for nearest neighbor classification. Most previous works on local metric learning learn a number of local unrelated metrics. While this "independence" approach delivers an increased flexibility…

Machine Learning · Computer Science 2012-09-17 Jun Wang , Adam Woznica , Alexandros Kalousis

Contrastive self-supervised learning based on point-wise comparisons has been widely studied for vision tasks. In the visual cortex of the brain, neuronal responses to distinct stimulus classes are organized into geometric structures known…

Machine Learning · Computer Science 2026-01-06 Guanming Zhang , David J. Heeger , Stefano Martiniani

Manifold learning is a central task in modern statistics and data science. Many datasets (cells, documents, images, molecules) can be represented as point clouds embedded in a high dimensional ambient space, however the degrees of freedom…

Machine Learning · Statistics 2025-02-18 Stephen Zhang , Gilles Mordant , Tetsuya Matsumoto , Geoffrey Schiebinger