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Many signal processing and machine learning applications are built from evaluating a kernel on pairs of signals, e.g. to assess the similarity of an incoming query to a database of known signals. This nonlinear evaluation can be simplified…

信号处理 · 电气工程与系统科学 2021-03-16 Vincent Schellekens , Laurent Jacques

We propose a new method for high-dimensional semi-supervised learning problems based on the careful aggregation of the results of a low-dimensional procedure applied to many axis-aligned random projections of the data. Our primary goal is…

统计方法学 · 统计学 2023-04-19 Tengyao Wang , Edgar Dobriban , Milana Gataric , Richard J. Samworth

We propose a novel online learning paradigm for nonlinear-function estimation tasks based on the iterative projections in the L2 space with probability measure reflecting the stochastic property of input signals. The proposed learning…

信号处理 · 电气工程与系统科学 2018-09-13 Motoya Ohnishi , Masahiro Yukawa

Approximate inference in probability models is a fundamental task in machine learning. Approximate inference provides powerful tools to Bayesian reasoning, decision making, and Bayesian deep learning. The main goal is to estimate the…

机器学习 · 计算机科学 2020-03-10 Jun Han

Despite the success of the popular kernelized support vector machines, they have two major limitations: they are restricted to Positive Semi-Definite (PSD) kernels, and their training complexity scales at least quadratically with the size…

机器学习 · 计算机科学 2014-05-28 Omid Aghazadeh , Stefan Carlsson

Kernel methods are powerful learning methodologies that allow to perform non-linear data analysis. Despite their popularity, they suffer from poor scalability in big data scenarios. Various approximation methods, including random feature…

机器学习 · 统计学 2022-06-14 Bharath Sriperumbudur , Nicholas Sterge

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

神经与进化计算 · 计算机科学 2018-02-14 Dianhui Wang , Ming Li

In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The…

机器学习 · 统计学 2018-11-07 Arun Venkitaraman , Pascal Frossard , Saikat Chatterjee

We propose FAR-SIGN (Fully Asynchronous Robust optimization via SIGNed directional projections) for adversary-resilient learning in parameter-server--worker systems. FAR-SIGN achieves robustness through sign-based updates along carefully…

Self-supervised learning (SSL) has recently advanced through non-contrastive methods that couple an invariance term with variance, covariance, or redundancy-reduction penalties. While such objectives shape first- and second-order statistics…

机器学习 · 计算机科学 2026-05-18 Benyamin Ghojogh , M. Hadi Sepanj , Paul Fieguth

Contrastive learning is a powerful framework for learning self-supervised representations that generalize well to downstream supervised tasks. We show that multiple existing contrastive learning methods can be reinterpreted as learning…

机器学习 · 计算机科学 2023-02-16 Daniel D. Johnson , Ayoub El Hanchi , Chris J. Maddison

This paper highlights new opportunities for designing large-scale machine learning systems as a consequence of blurring traditional boundaries that have allowed algorithm designers and application-level practitioners to stay -- for the most…

机器学习 · 计算机科学 2014-09-10 Suyog Gupta , Vikas Sindhwani , Kailash Gopalakrishnan

In this paper, we present a study of a kernel-based consensual aggregation on randomly projected high-dimensional features of predictions for regression. The aggregation scheme is composed of two steps: the high-dimensional features of…

机器学习 · 统计学 2022-04-07 Sothea Has

Kernel regression is a popular non-parametric fitting technique. It aims at learning a function which estimates the targets for test inputs as precise as possible. Generally, the function value for a test input is estimated by a weighted…

机器学习 · 计算机科学 2017-12-27 Rongqing Huang , Shiliang Sun

We establish a general form of explicit, input-dependent, measure-valued warpings for learning nonstationary kernels. While stationary kernels are ubiquitous and simple to use, they struggle to adapt to functions that vary in smoothness…

机器学习 · 计算机科学 2020-10-12 Anthony Tompkins , Rafael Oliveira , Fabio Ramos

Topological data analysis offers a rich source of valuable information to study vision problems. Yet, so far we lack a theoretically sound connection to popular kernel-based learning techniques, such as kernel SVMs or kernel PCA. In this…

机器学习 · 统计学 2014-12-24 Jan Reininghaus , Stefan Huber , Ulrich Bauer , Roland Kwitt

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

统计理论 · 数学 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Large-scale kernel approximation is an important problem in machine learning research. Approaches using random Fourier features have become increasingly popular [Rahimi and Recht, 2007], where kernel approximation is treated as empirical…

机器学习 · 计算机科学 2017-05-25 Wei-Cheng Chang , Chun-Liang Li , Yiming Yang , Barnabas Poczos

The method of random projections has become very popular for large-scale applications in statistical learning, information retrieval, bio-informatics and other applications. Using a well-designed coding scheme for the projected data, which…

机器学习 · 计算机科学 2013-08-12 Ping Li , Michael Mitzenmacher , Anshumali Shrivastava

One approach to improving the running time of kernel-based machine learning methods is to build a small sketch of the input and use it in lieu of the full kernel matrix in the machine learning task of interest. Here, we describe a version…

机器学习 · 统计学 2015-11-10 Ahmed El Alaoui , Michael W. Mahoney