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In this paper, we propose a non-parametric method for state estimation of high-dimensional nonlinear stochastic dynamical systems, which evolve according to gradient flows with isotropic diffusion. We combine diffusion maps, a manifold…

信号处理 · 电气工程与系统科学 2019-02-26 Tal Shnitzer , Ronen Talmon , Jean-Jacques Slotine

Current reinforcement learning algorithms train an agent using forward-generated trajectories, which provide little guidance so that the agent can explore as much as possible. While realizing the value of reinforcement learning results from…

人工智能 · 计算机科学 2023-09-06 KyungMin Ko

Koopman operator theory, a powerful framework for discovering the underlying dynamics of nonlinear dynamical systems, was recently shown to be intimately connected with neural network training. In this work, we take the first steps in…

神经与进化计算 · 计算机科学 2021-10-08 Akshunna S. Dogra , William T Redman

Recurrent Neural Networks (RNNs) achieve state-of-the-art results in many sequence-to-sequence modeling tasks. However, RNNs are difficult to train and tend to suffer from overfitting. Motivated by the Data Processing Inequality (DPI), we…

机器学习 · 统计学 2018-05-24 Ziv Aharoni , Gal Rattner , Haim Permuter

The success of deep learning over the past decade mainly relies on gradient-based optimisation and backpropagation. This paper focuses on analysing the performance of first-order gradient-based optimisation algorithms, gradient descent and…

最优化与控制 · 数学 2022-12-08 Behnam Mafakheri , Iman Shames , Jonathan H. Manton

Recurrent Networks are one of the most powerful and promising artificial neural network algorithms to processing the sequential data such as natural languages, sound, time series data. Unlike traditional feed-forward network, Recurrent…

机器学习 · 计算机科学 2018-07-11 Pushparaja Murugan

Deep learning methods achieve state-of-the-art performance in many application scenarios. Yet, these methods require a significant amount of hyperparameters tuning in order to achieve the best results. In particular, tuning the learning…

机器学习 · 计算机科学 2017-11-07 Francesco Orabona , Tatiana Tommasi

Backpropagation is the default algorithm for training deep neural networks due to its simplicity, efficiency and high convergence rate. However, its requirements make it impossible to be implemented in a human brain. In recent years, more…

机器学习 · 计算机科学 2021-09-01 Albert Jiménez Sanfiz , Mohamed Akrout

Optics is an exciting route for the next generation of computing hardware for machine learning, promising several orders of magnitude enhancement in both computational speed and energy efficiency. However, to reach the full capacity of an…

光学 · 物理学 2025-02-07 James Spall , Xianxin Guo , A. I. Lvovsky

Koopman spectral analysis has attracted attention for understanding nonlinear dynamical systems by which we can analyze nonlinear dynamics with a linear regime by lifting observations using a nonlinear function. For analysis, we need to…

机器学习 · 统计学 2020-12-14 Tomoharu Iwata , Yoshinobu Kawahara

The backpropagation algorithm remains the dominant and most successful method for training deep neural networks (DNNs). At the same time, training DNNs at scale comes at a significant computational cost and therefore a high carbon…

机器学习 · 计算机科学 2025-11-12 Sander Dalm , Joshua Offergeld , Nasir Ahmad , Marcel van Gerven

This paper introduces an online approach for identifying time-varying subspaces defined by linear dynamical systems. The approach of representing linear systems by non-parametric subspace models has received significant interest in the…

系统与控制 · 电气工程与系统科学 2025-12-01 András Sasfi , Alberto Padoan , Ivan Markovsky , Florian Dörfler

Deep neural networks, albeit their great success on feature learning in various computer vision tasks, are usually considered as impractical for online visual tracking because they require very long training time and a large number of…

计算机视觉与模式识别 · 计算机科学 2016-05-04 Hanxi Li , Yi Li , Fatih Porikli

Training a classifier under non-convex constraints has gotten increasing attention in the machine learning community thanks to its wide range of applications such as algorithmic fairness and class-imbalanced classification. However, several…

机器学习 · 统计学 2022-10-31 You-Lin Chen , Zhaoran Wang , Mladen Kolar

We present a simple linear regression based approach for learning the weights and biases of a neural network, as an alternative to standard gradient based backpropagation. The present work is exploratory in nature, and we restrict the…

机器学习 · 计算机科学 2023-07-17 Harshad Khadilkar

The vanishing and exploding gradient problems are well-studied obstacles that make it difficult for recurrent neural networks to learn long-term time dependencies. We propose a reparameterization of standard recurrent neural networks to…

机器学习 · 计算机科学 2016-12-14 Victor Dorobantu , Per Andre Stromhaug , Jess Renteria

Recurrent Neural Networks (RNNs) are useful in temporal sequence tasks. However, training RNNs involves dense matrix multiplications which require hardware that can support a large number of arithmetic operations and memory accesses.…

机器学习 · 计算机科学 2023-12-18 Xi Chen , Chang Gao , Zuowen Wang , Longbiao Cheng , Sheng Zhou , Shih-Chii Liu , Tobi Delbruck

Abrupt learning is a common phenomenon in recurrent neural networks (RNNs) trained on working memory tasks. In such cases, the networks develop transient slow regions in state space that extend the effective timescales of computation.…

Computing the loss gradient via backpropagation consumes considerable energy during deep learning (DL) model training. In this paper, we propose a novel approach to efficiently compute DL models' gradients to mitigate the substantial energy…

计算机视觉与模式识别 · 计算机科学 2024-06-12 Challapalli Phanindra Revanth , Sumohana S. Channappayya , C Krishna Mohan

The forward-forward algorithm presents a new method of training neural networks by updating weights during an inference, performing parameter updates for each layer individually. This immediately reduces memory requirements during training…

机器学习 · 计算机科学 2023-06-28 Michael Hopwood
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