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Related papers: Generalised Perceptron Learning

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This document is a follow-up to our previous paper dedicated to a vectorized derivation of backpropagation in CNNs. Following the same principles and notations already put in place there, we now focus on transformer-based…

Machine Learning · Computer Science 2025-12-30 Laurent Boué

A learning algorithm for multilayer perceptrons is presented which is based on finding the principal components of a correlation matrix computed from the example inputs and their target outputs. For large networks our procedure needs far…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. Bunzmann , M. Biehl , R. Urbanczik

Many applications, especially in physics and other sciences, call for easily interpretable and robust machine learning techniques. We propose a fully gradient-based technique for training radial basis function networks with an efficient and…

Machine Learning · Computer Science 2022-09-30 Jussi Määttä , Viacheslav Bazaliy , Jyri Kimari , Flyura Djurabekova , Kai Nordlund , Teemu Roos

We derive approximation bounds for learning single neuron models using thresholded gradient descent when both the labels and the covariates are possibly corrupted adversarially. We assume the data follows the model $y =…

Machine Learning · Statistics 2024-09-06 Arvind Rathnashyam , Alex Gittens

In this paper we propose a novel gradient algorithm to learn a policy from an expert's observed behavior assuming that the expert behaves optimally with respect to some unknown reward function of a Markovian Decision Problem. The…

Machine Learning · Computer Science 2012-06-26 Gergely Neu , Csaba Szepesvari

Generalizing manipulation skills to new situations requires extracting invariant patterns from demonstrations. For example, the robot needs to understand the demonstrations at a higher level while being invariant to the appearance of the…

Policy gradient is a generic and flexible reinforcement learning approach that generally enjoys simplicity in analysis, implementation, and deployment. In the last few decades, this approach has been extensively advanced for fully…

Machine Learning · Computer Science 2020-05-26 Kamyar Azizzadenesheli , Yisong Yue , Animashree Anandkumar

Deep learning is computationally intensive, with significant efforts focused on reducing arithmetic complexity, particularly regarding energy consumption dominated by data movement. While existing literature emphasizes inference, training…

Machine Learning · Statistics 2025-06-09 Van Minh Nguyen , Cristian Ocampo , Aymen Askri , Louis Leconte , Ba-Hien Tran

This article is intended for physical scientists who wish to gain deeper insights into machine learning algorithms which we present via the domain they know best, physics. We begin with a review of two energy-based machine learning…

Disordered Systems and Neural Networks · Physics 2021-12-03 Stephon Alexander , Sarah Bawabe , Batia Friedman-Shaw , Michael W. Toomey

Minimizing the empirical risk is a popular training strategy, but for learning tasks where the data may be noisy or heavy-tailed, one may require many observations in order to generalize well. To achieve better performance under less…

Machine Learning · Statistics 2018-10-16 Matthew J. Holland , Kazushi Ikeda

We propose a novel framework for the regularised inversion of deep neural networks. The framework is based on the authors' recent work on training feed-forward neural networks without the differentiation of activation functions. The…

Numerical Analysis · Mathematics 2023-03-06 Xiaoyu Wang , Martin Benning

Many popular feature-attribution methods for interpreting deep neural networks rely on computing the gradients of a model's output with respect to its inputs. While these methods can indicate which input features may be important for the…

Machine Learning · Computer Science 2023-07-11 Kevin Du , Lucas Torroba Hennigen , Niklas Stoehr , Alexander Warstadt , Ryan Cotterell

With the increasing need for handling large state and action spaces, general function approximation has become a key technique in reinforcement learning (RL). In this paper, we propose a general framework that unifies model-based and…

Machine Learning · Computer Science 2022-10-03 Zixiang Chen , Chris Junchi Li , Angela Yuan , Quanquan Gu , Michael I. Jordan

This paper proposes an improved design of the perceptron unit to mitigate the vanishing gradient problem. This nuisance appears when training deep multilayer perceptron networks with bounded activation functions. The new neuron design,…

Machine Learning · Computer Science 2019-10-09 Daniel Saromo , Elizabeth Villota , Edwin Villanueva

We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

Machine Learning · Computer Science 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li

We propose a new training method for a feedforward neural network having the activation functions with the geometric contraction property. The method consists of constructing a new functional that is less nonlinear in comparison with the…

Neural and Evolutionary Computing · Computer Science 2018-08-14 Petre Birtea , Cosmin Cernazanu-Glavan , Alexandru Sisu

Restricted Boltzmann machines (RBMs) are a powerful class of generative models, but their training requires computing a gradient that, unlike supervised backpropagation on typical loss functions, is notoriously difficult even to…

Machine Learning · Computer Science 2020-11-03 Haik Manukian , Yan Ru Pei , Sean R. B. Bearden , Massimiliano Di Ventra

The concept of a recently proposed Forward-Forward learning algorithm for fully connected artificial neural networks is applied to a single multi output perceptron for classification. The parameters of the system are trained with respect to…

Machine Learning · Computer Science 2023-04-07 K. Fredrik Karlsson

Convex optimization models find interesting applications, especially in signal/image processing and compressive sensing. We study some augmented convex models, which are perturbed by strongly convex functions, and propose a dual gradient…

Optimization and Control · Mathematics 2013-08-30 Hui Zhang , Lizhi Cheng , Wotao Yin

Boosting is a popular way to derive powerful learners from simpler hypothesis classes. Following previous work (Mason et al., 1999; Friedman, 2000) on general boosting frameworks, we analyze gradient-based descent algorithms for boosting…

Machine Learning · Computer Science 2012-02-15 Alexander Grubb , J. Andrew Bagnell