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We consider the problem of training a neural network to store a set of patterns with maximal noise robustness. A solution, in terms of optimal weights and state update rules, is derived by training each individual neuron to perform either…

Neural and Evolutionary Computing · Computer Science 2024-07-24 Georgios Iatropoulos , Johanni Brea , Wulfram Gerstner

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

The computational complexity of kernel methods has often been a major barrier for applying them to large-scale learning problems. We argue that this barrier can be effectively overcome. In particular, we develop methods to scale up kernel…

Wireless signal recognition is becoming increasingly more significant for spectrum monitoring, spectrum management, and secure communications. Consequently, it will become a key enabler with the emerging fifth-generation (5G) and beyond 5G…

Machine Learning · Computer Science 2021-02-23 Anu Jagannath , Jithin Jagannath

Metrics specifying distances between data points can be learned in a discriminative manner or from generative models. In this paper, we show how to unify generative and discriminative learning of metrics via a kernel learning framework.…

Machine Learning · Computer Science 2011-09-26 Yuan Shi , Yung-Kyun Noh , Fei Sha , Daniel D. Lee

Targeting at sparse multi-task learning, we consider regularization models with an $\ell^1$ penalty on the coefficients of kernel functions. In order to provide a kernel method for this model, we construct a class of vector-valued…

Functional Analysis · Mathematics 2019-01-07 Rongrong Lin , Guohui Song , Haizhang Zhang

Despite the recent progress in deep learning, most approaches still go for a silo-like solution, focusing on learning each task in isolation: training a separate neural network for each individual task. Many real-world problems, however,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Simon Vandenhende

Matrix approximations are a key element in large-scale algebraic machine learning approaches. The recently proposed method MEKA (Si et al., 2014) effectively employs two common assumptions in Hilbert spaces: the low-rank property of an…

Machine Learning · Computer Science 2022-01-21 Simon Heilig , Maximilian Münch , Frank-Michael Schleif

The success of kernel methods has initiated the design of novel positive semidefinite functions, in particular for structured data. A leading design paradigm for this is the convolution kernel, which decomposes structured objects into their…

Machine Learning · Computer Science 2017-02-01 Nils M. Kriege , Pierre-Louis Giscard , Richard C. Wilson

Multiple kernel methods less consider the intrinsic manifold structure of multiple kernel data and estimate the consensus kernel matrix with quadratic number of variables, which makes it vulnerable to the noise and outliers within multiple…

Machine Learning · Computer Science 2024-10-22 Liang Du , Xin Ren , Haiying Zhang , Peng Zhou

Multi-task learning (MTL) is an efficient solution to solve multiple tasks simultaneously in order to get better speed and performance than handling each single-task in turn. The most current methods can be categorized as either: (i) hard…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Yifan Liu , Bohan Zhuang , Chunhua Shen , Hao Chen , Wei Yin

Kernel methods are one of the cornerstones of learning-based control, modern system identification, surrogate modelling, and related fields. A key advantage of this class of learning and function approximation methods is the availability of…

Numerical Analysis · Mathematics 2026-05-20 Tizian Wenzel , Abdullah Tokmak , Christian Fiedler

Multi-task learning (MTL) is an inductive transfer mechanism designed to leverage useful information from multiple tasks to improve generalization performance compared to single-task learning. It has been extensively explored in traditional…

Machine Learning · Computer Science 2025-01-13 Varun Kumar , Somdatta Goswami , Katiana Kontolati , Michael D. Shields , George Em Karniadakis

A simple yet effective architectural design of radial basis function neural networks (RBFNN) makes them amongst the most popular conventional neural networks. The current generation of radial basis function neural network is equipped with…

Machine Learning · Computer Science 2020-07-07 Syed Muhammad Atif , Shujaat Khan , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

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

Multi-task learning (MTL) has led to successes in many applications of machine learning, from natural language processing and speech recognition to computer vision and drug discovery. This article aims to give a general overview of MTL,…

Machine Learning · Computer Science 2017-06-19 Sebastian Ruder

This paper presents two models of neural-networks and their training applicable to neural networks of arbitrary width, depth and topology, assuming only finite-energy neural activations; and a novel representor theory for neural networks in…

Machine Learning · Statistics 2024-05-27 Alistair Shilton , Sunil Gupta , Santu Rana , Svetha Venkatesh

Multi-task learning (MTL) trains deep neural networks to optimize several objectives simultaneously using a shared backbone, which leads to reduced computational costs, improved data efficiency, and enhanced performance through cross-task…

Machine Learning · Computer Science 2025-09-30 Hoang Phan , Lam Tran , Quyen Tran , Ngoc N. Tran , Tuan Truong , Qi Lei , Nhat Ho , Dinh Phung , Trung Le

This paper presents novel generalization bounds for vector-valued neural networks and deep kernel methods, focusing on multi-task learning through an operator-theoretic framework. Our key development lies in strategically combining a…

Machine Learning · Computer Science 2026-05-29 Mahdi Mohammadigohari , Giuseppe Di Fatta , Giuseppe Nicosia , Panos M. Pardalos

Most metric learning algorithms, as well as Fisher's Discriminant Analysis (FDA), optimize some cost function of different measures of within-and between-class distances. On the other hand, Support Vector Machines(SVMs) and several Multiple…

Machine Learning · Computer Science 2013-09-17 Huyen Do , Alexandros Kalousis