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Sparse training reduces the memory and computational costs of deep neural networks. However, sparse optimization methods, e.g., those adding an $\ell_1$ penalty, often control sparsity only indirectly through a regularization parameter…

Machine Learning · Computer Science 2026-05-21 Ahmad Aloradi , Tim Roith , Emanuël A. P. Habets , Daniel Tenbrinck

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

This paper proposes a boosting-based solution addressing metric learning problems for high-dimensional data. Distance measures have been used as natural measures of (dis)similarity and served as the foundation of various learning methods.…

Machine Learning · Statistics 2015-12-11 Yuting Ma , Tian Zheng

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discretization of Partial Differential Equations (PDEs). The most…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Paola F. Antonietti , Luca Dede'

Despite the promising progress made in recent years, person re-identification remains a challenging task due to complex variations in human appearances from different camera views. This paper presents a logistic discriminant metric learning…

Computer Vision and Pattern Recognition · Computer Science 2019-04-11 Xun Yang , Meng Wang , Dacheng Tao

We consider the problem of metric learning for multi-view data and present a novel method for learning within-view as well as between-view metrics in vector-valued kernel spaces, as a way to capture multi-modal structure of the data. We…

Machine Learning · Computer Science 2018-03-22 Riikka Huusari , Hachem Kadri , Cécile Capponi

This paper presents a deep relational metric learning (DRML) framework for image clustering and retrieval. Most existing deep metric learning methods learn an embedding space with a general objective of increasing interclass distances and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Wenzhao Zheng , Borui Zhang , Jiwen Lu , Jie Zhou

Optimal transport (OT) distances between probability distributions are parameterized by the ground metric they use between observations. Their relevance for real-life applications strongly hinges on whether that ground metric parameter is…

Machine Learning · Statistics 2020-11-06 Matthieu Heitz , Nicolas Bonneel , David Coeurjolly , Marco Cuturi , Gabriel Peyré

A typical assumption for the analysis of first order optimization methods is the Lipschitz continuity of the gradient of the objective function. However, for many practical applications this assumption is violated, including loss functions…

Optimization and Control · Mathematics 2019-10-10 Mahesh Chandra Mukkamala , Felix Westerkamp , Emanuel Laude , Daniel Cremers , Peter Ochs

For many machine learning algorithms such as $k$-Nearest Neighbor ($k$-NN) classifiers and $ k $-means clustering, often their success heavily depends on the metric used to calculate distances between different data points. An effective…

Computer Vision and Pattern Recognition · Computer Science 2010-03-03 Chunhua Shen , Junae Kim , Lei Wang

When evaluated in dynamic, open-world situations, neural networks struggle to detect unseen classes. This issue complicates the deployment of continual learners in realistic environments where agents are not explicitly informed when novel…

Machine Learning · Computer Science 2023-09-07 Abe Ejilemele , Jorge Mendez-Mendez

In this paper, we reveal that metric learning would suffer from serious inseparable problem if without informative sample mining. Since the inseparable samples are often mixed with hard samples, current informative sample mining strategies…

Machine Learning · Computer Science 2022-01-21 Kun Song , Junwei Han , Gong Cheng , Jiwen Lu , Feiping Nie

Most of metric learning approaches are dedicated to be applied on data described by feature vectors, with some notable exceptions such as times series, trees or graphs. The objective of this paper is to propose a metric learning algorithm…

Machine Learning · Computer Science 2018-07-03 Jiajun Pan , Hoel Le Capitaine , Philippe Leray

As neural networks grow deeper and wider, learning networks with hard-threshold activations is becoming increasingly important, both for network quantization, which can drastically reduce time and energy requirements, and for creating large…

Machine Learning · Computer Science 2018-04-18 Abram L. Friesen , Pedro Domingos

We outline a new approach for solving optimization problems which enforce triangle inequalities on output variables. We refer to this as metric-constrained optimization, and give several examples where problems of this form arise in machine…

Numerical Analysis · Computer Science 2018-06-06 Nate Veldt , David Gleich , Anthony Wirth , James Saunderson

Metric learning methods have been shown to perform well on different learning tasks. Many of them rely on target neighborhood relationships that are computed in the original feature space and remain fixed throughout learning. As a result,…

Machine Learning · Computer Science 2012-07-02 Jun Wang , Adam Woznica , Alexandros Kalousis

Differential equations in general and neural ODEs in particular are an essential technique in continuous-time system identification. While many deterministic learning algorithms have been designed based on numerical integration via the…

Machine Learning · Computer Science 2021-10-18 Lenart Treven , Philippe Wenk , Florian Dörfler , Andreas Krause

Recent work in distance metric learning has focused on learning transformations of data that best align with provided sets of pairwise similarity and dissimilarity constraints. The learned transformations lead to improved retrieval,…

Machine Learning · Statistics 2016-05-24 Kristjan Greenewald , Stephen Kelley , Alfred Hero

Optimisers are an essential component for training machine learning models, and their design influences learning speed and generalisation. Several studies have attempted to learn more effective gradient-descent optimisers via solving a…

Machine Learning · Computer Science 2022-03-08 Boyan Gao , Henry Gouk , Hae Beom Lee , Timothy M. Hospedales

In this paper, we develop a splitting algorithm incorporating Bregman distances to solve a broad class of linearly constrained composite optimization problems, whose objective function is the separable sum of possibly nonconvex nonsmooth…

Optimization and Control · Mathematics 2024-10-01 Tan Nhat Pham , Minh N. Dao , Andrew Eberhard , Nargiz Sultanova
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