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The problem of learning long-term dependencies in sequences using Recurrent Neural Networks (RNNs) is still a major challenge. Recent methods have been suggested to solve this problem by constraining the transition matrix to be unitary…

机器学习 · 计算机科学 2017-06-14 Zakaria Mhammedi , Andrew Hellicar , Ashfaqur Rahman , James Bailey

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

This paper proposes a Fast Graph Convolutional Neural Network (FGRNN) architecture to predict sequences with an underlying graph structure. The proposed architecture addresses the limitations of the standard recurrent neural network (RNN),…

信号处理 · 电气工程与系统科学 2020-01-28 Sai Kiran Kadambari , Sundeep Prabhakar Chepuri

Recurrent neural networks (RNNs) have been extraordinarily successful for prediction with sequential data. To tackle highly variable and noisy real-world data, we introduce Particle Filter Recurrent Neural Networks (PF-RNNs), a new RNN…

机器学习 · 计算机科学 2019-12-03 Xiao Ma , Peter Karkus , David Hsu , Wee Sun Lee

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

神经与进化计算 · 计算机科学 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

To push forward the important emerging research field surrounding multi-area recurrent neural networks (RNNs), we expand theoretically and empirically on the provably stable RNNs of RNNs introduced by Kozachkov et al. in "RNNs of RNNs:…

机器学习 · 计算机科学 2025-08-27 Michaela Ennis , Leo Kozachkov , Jean-Jacques Slotine

Lipschitz Bound Estimation is an effective method of regularizing deep neural networks to make them robust against adversarial attacks. This is useful in a variety of applications ranging from reinforcement learning to autonomous systems.…

机器学习 · 计算机科学 2022-07-18 Sarosij Bose

Recurrent neural networks are the foundation of many sequence-to-sequence models in machine learning, such as machine translation and speech synthesis. In contrast, applied quantum computing is in its infancy. Nevertheless there already…

机器学习 · 计算机科学 2020-10-01 Johannes Bausch

Convex relaxations are effective for training and certifying neural networks against norm-bounded adversarial attacks, but they leave a large gap between certifiable and empirical robustness. In principle, convex relaxation can provide…

机器学习 · 计算机科学 2020-02-25 Chen Zhu , Renkun Ni , Ping-yeh Chiang , Hengduo Li , Furong Huang , Tom Goldstein

One of the key challenges in natural language processing (NLP) is to yield good performance across application domains and languages. In this work, we investigate the robustness of the mention detection systems, one of the fundamental tasks…

计算与语言 · 计算机科学 2016-02-26 Thien Huu Nguyen , Avirup Sil , Georgiana Dinu , Radu Florian

We introduce a class of convolutional neural networks (CNNs) that utilize recurrent neural networks (RNNs) as convolution filters. A convolution filter is typically implemented as a linear affine transformation followed by a non-linear…

计算与语言 · 计算机科学 2018-08-29 Yi Yang

Convolutional neural networks (CNNs) often perform well, but their stability is poorly understood. To address this problem, we consider the simple prototypical problem of signal denoising, where classical approaches such as nonlinear…

机器学习 · 计算机科学 2020-06-09 Tobias Alt , Joachim Weickert , Pascal Peter

Recurrent neural networks have been extensively studied in the context of neuroscience and machine learning due to their ability to implement complex computations. While substantial progress in designing effective learning algorithms has…

神经元与认知 · 定量生物学 2019-01-21 Francesca Mastrogiuseppe , Srdjan Ostojic

Convolutional Neural Networks (CNNs) have recently emerged as the dominant model in computer vision. If provided with enough training data, they predict almost any visual quantity. In a discrete setting, such as classification, CNNs are not…

计算机视觉与模式识别 · 计算机科学 2015-11-25 Deepak Pathak , Philipp Krähenbühl , Stella X. Yu , Trevor Darrell

Robust risk minimisation has several advantages: it has been studied with regards to improving the generalisation properties of models and robustness to adversarial perturbation. We bound the distributionally robust risk for a model class…

机器学习 · 统计学 2018-09-06 Zac Cranko , Simon Kornblith , Zhan Shi , Richard Nock

Graph Neural Networks (GNNs) have established themselves as a key component in addressing diverse graph-based tasks. Despite their notable successes, GNNs remain susceptible to input perturbations in the form of adversarial attacks. This…

机器学习 · 计算机科学 2024-09-13 Moshe Eliasof , Davide Murari , Ferdia Sherry , Carola-Bibiane Schönlieb

Graph neural networks (GNNs) have emerged as a powerful tool for nonlinear processing of graph signals, exhibiting success in recommender systems, power outage prediction, and motion planning, among others. GNNs consists of a cascade of…

机器学习 · 计算机科学 2020-12-02 Fernando Gama , Joan Bruna , Alejandro Ribeiro

In this study, we investigate the continuous time dynamics of Recurrent Neural Networks (RNNs), focusing on systems with nonlinear activation functions. The objective of this work is to identify conditions under which RNNs exhibit perpetual…

机器学习 · 计算机科学 2025-04-22 Michele Casoni , Tommaso Guidi , Alessandro Betti , Stefano Melacci , Marco Gori

We propose a parameterization of a nonlinear dynamic controller based on the recurrent equilibrium network, a generalization of the recurrent neural network. We derive constraints on the parameterization under which the controller…

系统与控制 · 电气工程与系统科学 2024-04-15 Neelay Junnarkar , He Yin , Fangda Gu , Murat Arcak , Peter Seiler

Robustness of deep neural networks against adversarial perturbations is a pressing concern motivated by recent findings showing the pervasive nature of such vulnerabilities. One method of characterizing the robustness of a neural network…

机器学习 · 统计学 2021-03-15 Hisham Husain , Borja Balle