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In order to fully utilize "big data", it is often required to use "big models". Such models tend to grow with the complexity and size of the training data, and do not make strong parametric assumptions upfront on the nature of the…

Machine Learning · Statistics 2015-04-17 Vikas Sindhwani , Haim Avron

Machine learning and quantum computing are two technologies each with the potential for altering how computation is performed to address previously untenable problems. Kernel methods for machine learning are ubiquitous for pattern…

This paper addresses the covariate shift problem in the context of nonparametric regression within reproducing kernel Hilbert spaces (RKHSs). Covariate shift arises in supervised learning when the input distributions of the training and…

Machine Learning · Statistics 2025-05-21 Andrea Della Vecchia , Arnaud Mavakala Watusadisi , Ernesto De Vito , Lorenzo Rosasco

Recently, discriminatively learned correlation filters (DCF) has drawn much attention in visual object tracking community. The success of DCF is potentially attributed to the fact that a large amount of samples are utilized to train the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Kai Chen , Wenbing Tao

The empirical success of deep convolutional networks on tasks involving high-dimensional data such as images or audio suggests that they can efficiently approximate certain functions that are well-suited for such tasks. In this paper, we…

Machine Learning · Statistics 2022-03-22 Alberto Bietti

This paper focuses on parameter selection issues of kernel ridge regression (KRR). Due to special spectral properties of KRR, we find that delicate subdivision of the parameter interval shrinks the difference between two successive KRR…

Machine Learning · Computer Science 2023-12-12 Shao-Bo Lin

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

Optimization and Control · Mathematics 2025-07-15 Francesca Maggioni , Andrea Spinelli

In this paper, we analyze the spatial information of deep features, and propose two complementary regressions for robust visual tracking. First, we propose a kernelized ridge regression model wherein the kernel value is defined as the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Chong Sun , Dong Wang , Huchuan Lu , Ming-Hsuan Yang

This paper introduces algorithms to select/design kernels in Gaussian process regression/kriging surrogate modeling techniques. We adopt the setting of kernel method solutions in ad hoc functional spaces, namely Reproducing Kernel Hilbert…

Machine Learning · Statistics 2022-09-07 Jean-Luc Akian , Luc Bonnet , Houman Owhadi , Éric Savin

Kernel selection plays a central role in determining the performance of Gaussian Process (GP) models, as the chosen kernel determines both the inductive biases and prior support of functions under the GP prior. This work addresses the…

Machine Learning · Statistics 2021-11-22 Fergus Simpson , Ian Davies , Vidhi Lalchand , Alessandro Vullo , Nicolas Durrande , Carl Rasmussen

Direct load control of a heterogeneous cluster of residential demand flexibility sources is a high-dimensional control problem with partial observability. This work proposes a novel approach that uses a convolutional neural network to…

Machine Learning · Computer Science 2016-10-12 Bert J. Claessens , Peter Vrancx , Frederik Ruelens

Convolution is a compute-intensive operation placed at the heart of Convolution Neural Networks (CNNs). It has led to the development of many high-performance algorithms, such as Im2col-GEMM, Winograd, and Direct-Convolution. However, the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Lucas Alvarenga , Victor Ferrari , Rafael Souza , Marcio Pereira , Guido Araujo

Kernel ridge regression, KRR, is a generalization of linear ridge regression that is non-linear in the data, but linear in the model parameters. Here, we introduce an equivalent formulation of the objective function of KRR, which opens up…

Machine Learning · Statistics 2025-03-10 Oskar Allerbo

Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

The choice of transition kernel critically influences the performance of the Markov chain Monte Carlo method. Despite the importance of kernel choice, guiding principles for optimal kernels have not been established. Here, we propose a…

Statistical Mechanics · Physics 2023-11-28 Hidemaro Suwa

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao

Convolutional neural networks (CNNs) are able to attain better visual recognition performance than fully connected neural networks despite having much fewer parameters due to their parameter sharing principle. Modern architectures usually…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Ilke Cugu , Emre Akbas

Convolutional Neural Networks (CNNs) filter the input data using spatial convolution operators with compact stencils. Commonly, the convolution operators couple features from all channels, which leads to immense computational cost in the…

Machine Learning · Computer Science 2019-05-17 Jonathan Ephrath , Lars Ruthotto , Eldad Haber , Eran Treister

Several interpretability methods for convolutional network-based classifiers exist. Most of these methods focus on extracting saliency maps for a given sample, providing a local explanation that highlights the main regions for the…

Machine Learning · Computer Science 2025-06-17 Alejandro Kuratomi , Zed Lee , Guilherme Dinis Chaliane Junior , Tony Lindgren , Diego García Pérez

The principle of translation equivariance (if an input image is translated an output image should be translated by the same amount), led to the development of convolutional neural networks that revolutionized machine vision. Other…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Zachary Schlamowitz , Andrew Bennecke , Daniel J. Tward
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