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Kernel ridge regression (KRR) is a widely used nonparametric method due to its strong theoretical guarantees and computational convenience. However, standard KRR does not distinguish between linear and nonlinear components in the signal,…

统计理论 · 数学 2026-05-13 Xin Bing , Chao Wang

Data similarity is a key concept in many data-driven applications. Many algorithms are sensitive to similarity measures. To tackle this fundamental problem, automatically learning of similarity information from data via self-expression has…

机器学习 · 计算机科学 2019-03-12 Zhao Kang , Yiwei Lu , Yuanzhang Su , Changsheng Li , Zenglin Xu

One central theme in machine learning is function estimation from sparse and noisy data. An example is supervised learning where the elements of the training set are couples, each containing an input location and an output response. In the…

机器学习 · 计算机科学 2023-10-05 Alberto Giaretta , Mauro Bisiacco , Gianluigi Pillonetto

Random binning features, introduced in the seminal paper of Rahimi and Recht (2007), are an efficient method for approximating a kernel matrix using locality sensitive hashing. Random binning features provide a very simple and efficient way…

机器学习 · 统计学 2020-03-24 Michael Kapralov , Navid Nouri , Ilya Razenshteyn , Ameya Velingker , Amir Zandieh

Symbolic regression is a nonlinear regression method which is commonly performed by an evolutionary computation method such as genetic programming. Quantification of uncertainty of regression models is important for the interpretation of…

机器学习 · 计算机科学 2022-09-15 Fabricio Olivetti de Franca , Gabriel Kronberger

Classical kernel machines have historically faced significant challenges in scaling to large datasets and model sizes--a key ingredient that has driven the success of neural networks. In this paper, we present a new methodology for building…

机器学习 · 统计学 2024-11-26 Amirhesam Abedsoltan , Siyuan Ma , Parthe Pandit , Mikhail Belkin

Similarity analysis is one of the crucial steps in most fMRI studies. Representational Similarity Analysis (RSA) can measure similarities of neural signatures generated by different cognitive states. This paper develops Deep…

图像与视频处理 · 电气工程与系统科学 2020-10-06 Muhammad Yousefnezhad , Jeffrey Sawalha , Alessandro Selvitella , Daoqiang Zhang

An active learning algorithm for the classification of high-dimensional images is proposed in which spatially-regularized nonlinear diffusion geometry is used to characterize cluster cores. The proposed method samples from estimated cluster…

机器学习 · 计算机科学 2019-11-07 James M. Murphy

Recent image degradation estimation methods have enabled single-image super-resolution (SR) approaches to better upsample real-world images. Among these methods, explicit kernel estimation approaches have demonstrated unprecedented…

计算机视觉与模式识别 · 计算机科学 2023-11-01 Royson Lee , Rui Li , Stylianos I. Venieris , Timothy Hospedales , Ferenc Huszár , Nicholas D. Lane

Active Learning (AL) is increasingly important in a broad range of applications. Two main AL principles to obtain accurate classification with few labeled data are refinement of the current decision boundary and exploration of poorly…

机器学习 · 计算机科学 2012-10-19 Jens Roeder , Boaz Nadler , Kevin Kunzmann , Fred A. Hamprecht

Approximate Nearest Neighbor (ANN) search and Approximate Kernel Density Estimation (A-KDE) are fundamental problems at the core of modern machine learning, with broad applications in data analysis, information systems, and large-scale…

机器学习 · 计算机科学 2025-10-28 Ved Danait , Srijan Das , Sujoy Bhore

Rational approximation appears in many contexts throughout science and engineering, playing a central role in linear systems theory, special function approximation, and many others. There are many existing methods for solving the rational…

数值分析 · 数学 2018-12-03 Jeffrey M. Hokanson , Caleb C. Magruder

The approximation of nonlinear kernels via linear feature maps has recently gained interest due to their applications in reducing the training and testing time of kernel-based learning algorithms. Current random projection methods avoid the…

计算机视觉与模式识别 · 计算机科学 2016-02-05 A. G. Chung , M. J. Shafiee , A. Wong

We propose a random convolutional neural network to generate a feature space in which we study image classification and retrieval performance. Put briefly we apply random convolutional blocks followed by global average pooling to generate a…

计算机视觉与模式识别 · 计算机科学 2019-03-19 Yunzhe Xue , Usman Roshan

In recent years, the crucial importance of metrics in machine learning algorithms has led to an increasing interest for optimizing distance and similarity functions. Most of the state of the art focus on learning Mahalanobis distances…

机器学习 · 计算机科学 2019-01-25 Aurelien Bellet , Amaury Habrard , Marc Sebban

Learning can be seen as approximating an unknown function by interpolating the training data. Kriging offers a solution to this problem based on the prior specification of a kernel. We explore a numerical approximation approach to kernel…

机器学习 · 统计学 2019-05-01 Houman Owhadi , Gene Ryan Yoo

Linear projections are widely used in the analysis of high-dimensional data. In unsupervised settings where the data harbour latent classes/clusters, the question of whether class discriminatory signals are retained under projection is…

机器学习 · 统计学 2022-04-12 Thomas Lartigue , Sach Mukherjee

We present an efficient subpixel refinement method usinga learning-based approach called Linear Predictors. Two key ideas are shown in this paper. Firstly, we present a novel technique, called Symbolic Linear Predictors, which makes the…

计算机视觉与模式识别 · 计算机科学 2018-05-01 Vincent Lui , Jonathon Geeves , Winston Yii , Tom Drummond

In machine learning, classification is usually seen as a function approximation problem, where the goal is to learn a function that maps input features to class labels. In this paper, we propose a novel clustering and classification…

机器学习 · 计算机科学 2025-02-25 Hrushikesh Mhaskar , Ryan O'Dowd , Efstratios Tsoukanis

Classifying large-scale image data into object categories is an important problem that has received increasing research attention. Given the huge amount of data, non-parametric approaches such as nearest neighbor classifiers have shown…

计算机视觉与模式识别 · 计算机科学 2014-04-28 Zhaowen Wang , Jianchao Yang , Zhe Lin , Jonathan Brandt , Shiyu Chang , Thomas Huang