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The problem of classification in machine learning has often been approached in terms of function approximation. In this paper, we propose an alternative approach for classification in arbitrary compact metric spaces which, in theory, yields…

机器学习 · 计算机科学 2026-03-26 H. N. Mhaskar , Ryan O'Dowd

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

最优化与控制 · 数学 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

Mechanistic interpretability aims to reverse-engineer transformer computations by identifying causal circuits through activation patching. However, scaling these interventions across diverse prompts and task families produces…

人工智能 · 计算机科学 2026-05-08 Ruben Fernandez-Boullon , David N. Olivieri

Feature Descriptors and Detectors are two main components of feature-based point cloud registration. However, little attention has been drawn to the explicit representation of local and global semantics in the learning of descriptors and…

计算机视觉与模式识别 · 计算机科学 2023-05-08 Canhui Tang , Yiheng Li , Shaoyi Du , Guofa Wang , Zhiqiang Tian

Much recent work in bioinformatics has focused on the inference of various types of biological networks, representing gene regulation, metabolic processes, protein-protein interactions, etc. A common setting involves inferring network edges…

定量方法 · 定量生物学 2007-05-23 Jean-Philippe Vert , Jian Qiu , William Stafford Noble

Local descriptors used in face recognition are robust in a sense that these descriptors perform well in varying pose, illumination and lighting conditions. Accuracy of these descriptors depends on the precision of mapping the relationship…

计算机视觉与模式识别 · 计算机科学 2022-01-04 Soumendu Chakraborty , Satish Kumar Singh , Pavan Chakraborty

A method to estimate an acoustic field from discrete microphone measurements is proposed. A kernel-interpolation-based method using the kernel function formulated for sound field interpolation has been used in various applications. The…

In this paper, we argue that the problem of registering two sets of functional data, where the underlying mean function has sharp features, is not properly addressed by methods designed to align a bunch of growth curves data. We provide a…

统计方法学 · 统计学 2017-12-19 Dibyendu Bhaumik , Radhendushka Srivastava , Debasis Sengupta

Efficient detection and description of geometric regions in images is a prerequisite in visual systems for localization and mapping. Such systems still rely on traditional hand-crafted methods for efficient generation of lightweight…

计算机视觉与模式识别 · 计算机科学 2023-04-11 Menelaos Kanakis , Simon Maurer , Matteo Spallanzani , Ajad Chhatkuli , Luc Van Gool

We consider the problem of multiclass road sign detection using a classification function with multiplicative kernel comprised from two kernels. We show that problems of detection and within-foreground classification can be jointly solved…

计算机视觉与模式识别 · 计算机科学 2013-10-02 Valentina Zadrija , Siniša Šegvić

The paper studies face spoofing, a.k.a. presentation attack detection (PAD) in the demanding scenarios of unknown types of attack. While earlier studies have revealed the benefits of ensemble methods, and in particular, a multiple kernel…

计算机视觉与模式识别 · 计算机科学 2022-04-25 Shervin Rahimzadeh Arashloo

We propose a strategy for land use classification which exploits Multiple Kernel Learning (MKL) to automatically determine a suitable combination of a set of features without requiring any heuristic knowledge about the classification task.…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Claudio Cusano , Paolo Napoletano , Raimondo Schettini

In this paper, we propose a novel benchmark for evaluating local image descriptors. We demonstrate that the existing datasets and evaluation protocols do not specify unambiguously all aspects of evaluation, leading to ambiguities and…

计算机视觉与模式识别 · 计算机科学 2017-04-21 Vassileios Balntas , Karel Lenc , Andrea Vedaldi , Krystian Mikolajczyk

With the advent of kernel methods, automating the task of specifying a suitable kernel has become increasingly important. In this context, the Multiple Kernel Learning (MKL) problem of finding a combination of pre-specified base kernels…

机器学习 · 计算机科学 2012-07-03 Abhishek Kumar , Alexandru Niculescu-Mizil , Koray Kavukcuoglu , Hal Daume

In this paper we propose a new non-linear classifier based on a combination of locally linear classifiers. A well known optimization formulation is given as we cast the problem in a $\ell_1$ Multiple Kernel Learning (MKL) problem using many…

机器学习 · 计算机科学 2024-01-19 David Picard

Multiple kernel learning (MKL) algorithms combine different base kernels to obtain a more efficient representation in the feature space. Focusing on discriminative tasks, MKL has been used successfully for feature selection and finding the…

机器学习 · 计算机科学 2019-03-14 Babak Hosseini , Barbara Hammer

In this paper, we introduce two robust, nonparametric methods for multiple change-point detection in the variability of a multivariate sequence of observations. We demonstrate that changes in ranks generated from data depth functions can be…

统计方法学 · 统计学 2021-11-30 Kelly Ramsay , Shoja'eddin Chenouri

Localizing behaviors of neural networks to a subset of the network's components or a subset of interactions between components is a natural first step towards analyzing network mechanisms and possible failure modes. Existing work is often…

机器学习 · 计算机科学 2023-05-17 Nicholas Goldowsky-Dill , Chris MacLeod , Lucas Sato , Aryaman Arora

Over-segmentation into superpixels is a very effective dimensionality reduction strategy, enabling fast dense image processing. The main issue of this approach is the inherent irregularity of the image decomposition compared to standard…

计算机视觉与模式识别 · 计算机科学 2025-09-25 Rémi Giraud , Merlin Boyer , Michaël Clément

Kernel methods have achieved very good performance on large scale regression and classification problems, by using the Nystr\"om method and preconditioning techniques. The Nystr\"om approximation -- based on a subset of landmarks -- gives a…

机器学习 · 计算机科学 2020-02-21 Michaël Fanuel , Joachim Schreurs , Johan A. K. Suykens