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Deep learning is ubiquitous across many areas areas of computer vision. It often requires large scale datasets for training before being fine-tuned on small-to-medium scale problems. Activity, or, in other words, action recognition, is one…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 Yusuf Tas , Piotr Koniusz

In pursuit of faster computation, Efficient Transformers demonstrate an impressive variety of approaches -- models attaining sub-quadratic attention complexity can utilize a notion of sparsity or a low-rank approximation of inputs to reduce…

Machine Learning · Computer Science 2022-11-09 Uladzislau Yorsh , Alexander Kovalenko

Object segmentation is a key component in the visual system of a robot that performs tasks like grasping and object manipulation, especially in presence of occlusions. Like many other computer vision tasks, the adoption of deep…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Federico Ceola , Elisa Maiettini , Giulia Pasquale , Lorenzo Rosasco , Lorenzo Natale

Random Fourier features (RFF) represent one of the most popular and wide-spread techniques in machine learning to scale up kernel algorithms. Despite the numerous successful applications of RFFs, unfortunately, quite little is understood…

Machine Learning · Statistics 2019-02-12 Zoltan Szabo , Bharath K. Sriperumbudur

We present a theoretically grounded Gaussian process framework that leverages neural feature maps to construct expressive kernels. We show that the learned feature map can be interpreted as an optimal low-rank approximation to a Gram matrix…

Machine Learning · Statistics 2026-05-12 Anthony Stephenson

Kernel learning methods are among the most effective learning methods and have been vigorously studied in the past decades. However, when tackling with complicated tasks, classical kernel methods are not flexible or "rich" enough to…

Machine Learning · Computer Science 2019-10-08 Jiaxuan Xie , Fanghui Liu , Kaijie Wang , Xiaolin Huang

Three-dimensional object recognition has recently achieved great progress thanks to the development of effective point cloud-based learning frameworks, such as PointNet and its extensions. However, existing methods rely heavily on fully…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Weikai Chen , Xiaoguang Han , Guanbin Li , Chao Chen , Jun Xing , Yajie Zhao , Hao Li

A fundamental drawback of kernel-based statistical models is their limited scalability to large data sets, which requires resorting to approximations. In this work, we focus on the popular Gaussian kernel and on techniques to linearize…

Machine Learning · Statistics 2022-04-13 Jonas Wacker , Maurizio Filippone

Radial Basis Function (RBF), or Gaussian, kernels are among the most widely used parametric kernels in machine learning, particularly in methods such as Support Vector Machines (SVM) and kernel-based subspace approaches. The kernel…

General Mathematics · Mathematics 2026-04-03 Lakhdar Remaki

We present a Gaussian kernel loss function and training algorithm for convolutional neural networks that can be directly applied to both distance metric learning and image classification problems. Our method treats all training features…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Benjamin J. Meyer , Ben Harwood , Tom Drummond

In this paper, we propose a novel adaptive kernel for the radial basis function (RBF) neural networks. The proposed kernel adaptively fuses the Euclidean and cosine distance measures to exploit the reciprocating properties of the two. The…

Machine Learning · Statistics 2019-05-10 Shujaat Khan , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

Kernel-based methods enjoy powerful generalization capabilities in handling a variety of learning tasks. When such methods are provided with sufficient training data, broadly-applicable classes of nonlinear functions can be approximated…

Machine Learning · Statistics 2017-12-29 Fatemeh Sheikholeslami , Dimitris Berberidis , Georgios B. Giannakis

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

Deep kernel learning provides an elegant and principled framework for combining the structural properties of deep learning algorithms with the flexibility of kernel methods. By means of a deep neural network, we learn a parametrized kernel…

Machine Learning · Computer Science 2020-12-14 Prudencio Tossou , Basile Dura , Francois Laviolette , Mario Marchand , Alexandre Lacoste

Various methods in statistical learning build on kernels considered in reproducing kernel Hilbert spaces. In applications, the kernel is often selected based on characteristics of the problem and the data. This kernel is then employed to…

Machine Learning · Statistics 2024-03-12 Paul Dommel , Alois Pichler

Deep learning (DL) is transforming industry as decision-making processes are being automated by deep neural networks (DNNs) trained on real-world data. Driven partly by rapidly-expanding literature on DNN approximation theory showing they…

Machine Learning · Computer Science 2021-02-17 Ben Adcock , Nick Dexter

Deep kernel learning (DKL) and related techniques aim to combine the representational power of neural networks with the reliable uncertainty estimates of Gaussian processes. One crucial aspect of these models is an expectation that, because…

Machine Learning · Statistics 2021-07-08 Sebastian W. Ober , Carl E. Rasmussen , Mark van der Wilk

A recent series of theoretical works showed that the dynamics of neural networks with a certain initialisation are well-captured by kernel methods. Concurrent empirical work demonstrated that kernel methods can come close to the performance…

Machine Learning · Computer Science 2021-06-11 Maria Refinetti , Sebastian Goldt , Florent Krzakala , Lenka Zdeborová

Being able to reason in an environment with a large number of discrete actions is essential to bringing reinforcement learning to a larger class of problems. Recommender systems, industrial plants and language models are only some of the…

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…

Machine Learning · Statistics 2014-10-06 Marc Claesen , Frank De Smet , Johan A. K. Suykens , Bart De Moor