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We present an approximation scheme for support vector machine models that use an RBF kernel. A second-order Maclaurin series approximation is used for exponentials of inner products between support vectors and test instances. The…

机器学习 · 统计学 2014-10-06 Marc Claesen , Frank De Smet , Johan A. K. Suykens , Bart De Moor

Domain knowledge is useful to improve the generalization performance of learning machines. Sign constraints are a handy representation to combine domain knowledge with learning machine. In this paper, we consider constraining the signs of…

机器学习 · 计算机科学 2022-10-12 Kenya Tajima , Takahiko Henmi , Kohei Tsuchida , Esmeraldo Ronnie R. Zara , Tsuyoshi Kato

Stochastic Approximation (SA) is a classical algorithm that has had since the early days a huge impact on signal processing, and nowadays on machine learning, due to the necessity to deal with a large amount of data observed with…

最优化与控制 · 数学 2023-07-18 Aymeric Dieuleveut , Gersende Fort , Eric Moulines , Hoi-To Wai

Nonlinear component analysis such as kernel Principle Component Analysis (KPCA) and kernel Canonical Correlation Analysis (KCCA) are widely used in machine learning, statistics and data analysis, but they can not scale up to big datasets.…

机器学习 · 计算机科学 2016-01-12 Bo Xie , Yingyu Liang , Le Song

Measuring similarity between incomplete data is a fundamental challenge in web mining, recommendation systems, and user behavior analysis. Traditional approaches either discard incomplete data or perform imputation as a preprocessing step,…

机器学习 · 计算机科学 2025-10-16 Yang Cao , Sikun Yang , Kai He , Wenjun Ma , Ming Liu , Yujiu Yang , Jian Weng

Remarkable achievements have been attained by deep neural networks in various applications. However, the increasing depth and width of such models also lead to explosive growth in both storage and computation, which has restricted the…

机器学习 · 计算机科学 2019-06-11 Linfeng Zhang , Zhanhong Tan , Jiebo Song , Jingwei Chen , Chenglong Bao , Kaisheng Ma

Many interesting machine learning problems are best posed by considering instances that are distributions, or sample sets drawn from distributions. Previous work devoted to machine learning tasks with distributional inputs has done so…

机器学习 · 统计学 2021-01-15 Danica J. Sutherland , Junier B. Oliva , Barnabás Póczos , Jeff Schneider

In this paper, we develop a quadrature framework for large-scale kernel machines via a numerical integration representation. Considering that the integration domain and measure of typical kernels, e.g., Gaussian kernels, arc-cosine kernels,…

机器学习 · 计算机科学 2021-06-14 Fanghui Liu , Xiaolin Huang , Yudong Chen , Johan A. K. Suykens

Quantum support vector machines have the potential to achieve a quantum speedup for solving certain machine learning problems. The key challenge for doing so is finding good quantum kernels for a given data set -- a task called kernel…

量子物理 · 物理学 2023-12-08 Gian Gentinetta , David Sutter , Christa Zoufal , Bryce Fuller , Stefan Woerner

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

机器学习 · 计算机科学 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

Kernel methods are fundamental tools in machine learning that allow detection of non-linear dependencies between data without explicitly constructing feature vectors in high dimensional spaces. A major disadvantage of kernel methods is…

数据结构与算法 · 计算机科学 2020-12-23 Thomas D. Ahle , Michael Kapralov , Jakob B. T. Knudsen , Rasmus Pagh , Ameya Velingker , David Woodruff , Amir Zandieh

Current progress in artificial intelligence is centered around so-called large language models that consist of neural networks processing long sequences of high-dimensional vectors called tokens. Statistical physics provides powerful tools…

无序系统与神经网络 · 物理学 2025-11-13 Vittorio Erba , Emanuele Troiani , Luca Biggio , Antoine Maillard , Lenka Zdeborová

We develop an algorithm for systematic design of a large artificial neural network using a progression property. We find that some non-linear functions, such as the rectifier linear unit and its derivatives, hold the property. The…

神经与进化计算 · 计算机科学 2017-10-24 Saikat Chatterjee , Alireza M. Javid , Mostafa Sadeghi , Partha P. Mitra , Mikael Skoglund

A spectral mixture (SM) kernel is a flexible kernel used to model any stationary covariance function. Although it is useful in modeling data, the learning of the SM kernel is generally difficult because optimizing a large number of…

机器学习 · 统计学 2020-06-15 Yohan Jung , Kyungwoo Song , Jinkyoo Park

Sign languages are visual languages, with vocabularies as rich as their spoken language counterparts. However, current deep-learning based Sign Language Production (SLP) models produce under-articulated skeleton pose sequences from…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Ben Saunders , Necati Cihan Camgoz , Richard Bowden

We address the challenge of correlated predictors in high-dimensional GLMs, where regression coefficients range from sparse to dense, by proposing a data-driven random projection method. This is particularly relevant for applications where…

统计方法学 · 统计学 2025-12-30 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

Large scale online kernel learning aims to build an efficient and scalable kernel-based predictive model incrementally from a sequence of potentially infinite data points. A current key approach focuses on ways to produce an approximate…

机器学习 · 计算机科学 2019-09-25 Kai Ming Ting , Jonathan R. Wells , Takashi Washio

Support estimation (SE) of a sparse signal refers to finding the location indices of the non-zero elements in a sparse representation. Most of the traditional approaches dealing with SE problem are iterative algorithms based on greedy…

信号处理 · 电气工程与系统科学 2026-05-06 Mehmet Yamac , Mete Ahishali , Serkan Kiranyaz , Moncef Gabbouj

Reversibility in artificial neural networks allows us to retrieve the input given an output. We present feature alignment, a method for approximating reversibility in arbitrary neural networks. We train a network by minimizing the distance…

机器学习 · 计算机科学 2023-01-31 Tiago de Souza Farias , Jonas Maziero

Signal recognition is one of significant and challenging tasks in the signal processing and communications field. It is often a common situation that there's no training data accessible for some signal classes to perform a recognition task.…

机器学习 · 计算机科学 2021-05-12 Yihong Dong , Xiaohan Jiang , Huaji Zhou , Yun Lin , Qingjiang Shi