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We study bi-directional associative neural networks that, exposed to noisy examples of an extensive number of random archetypes, learn the latter (with or without the presence of a teacher) when the supplied information is enough: in this…

无序系统与神经网络 · 物理学 2023-07-18 Martino Salomone Centonze , Ido Kanter , Adriano Barra

Originating from condensed matter physics, tensor networks are compact representations of high-dimensional tensors. In this paper, the prowess of tensor networks is demonstrated on the particular task of one-class anomaly detection. We…

机器学习 · 计算机科学 2020-06-18 Jinhui Wang , Chase Roberts , Guifre Vidal , Stefan Leichenauer

This paper introduces a new generative deep learning network for human motion synthesis and control. Our key idea is to combine recurrent neural networks (RNNs) and adversarial training for human motion modeling. We first describe an…

图形学 · 计算机科学 2018-06-25 Zhiyong Wang , Jinxiang Chai , Shihong Xia

Hamiltonian neural networks (HNNs) are state-of-the-art models that regress the vector field of a dynamical system under the learning bias of Hamilton's equations. A recent observation is that embedding a bias regarding the additive…

机器学习 · 计算机科学 2024-08-16 Zi-Yu Khoo , Dawen Wu , Jonathan Sze Choong Low , Stéphane Bressan

First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and phenomena. However, they can be hard to build and expensive to simulate for complex living…

适应与自组织系统 · 物理学 2024-11-26 Ruilin Zhang , Zhongyi Wang , Tianyi Wu , Yuhang Cai , Louis Tao , Zhuo-Cheng Xiao , Yao Li

The effectiveness of recurrent neural networks can be largely influenced by their ability to store into their dynamical memory information extracted from input sequences at different frequencies and timescales. Such a feature can be…

机器学习 · 计算机科学 2020-07-01 Antonio Carta , Alessandro Sperduti , Davide Bacciu

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

机器学习 · 统计学 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

In artificial neural networks, learning from data is a computationally demanding task in which a large number of connection weights are iteratively tuned through stochastic-gradient-based heuristic processes over a cost-function. It is not…

A common problem of classical neural network architectures is that additional information or expert knowledge cannot be naturally integrated into the learning process. To overcome this limitation, we propose a two-step approach consisting…

机器学习 · 计算机科学 2024-06-17 Florian Seiffarth

Recurrent neural networks are often used for learning time-series data. Based on a few assumptions we model this learning task as a minimization problem of a nonlinear least-squares cost function. The special structure of the cost function…

人工智能 · 计算机科学 2007-05-23 I. Szita , A. Lorincz

We demonstrate, both analytically and numerically, that learning dynamics of neural networks is generically attracted towards a self-organized critical state. The effect can be modeled with quartic interactions between non-trainable…

统计力学 · 物理学 2021-07-09 Mikhail I. Katsnelson , Vitaly Vanchurin , Tom Westerhout

We study how the connectivity within a recurrent neural network determines and is determined by the multistable solutions of network activity. To gain analytic tractability we let neural activation be a non-smooth Heaviside step function.…

神经与进化计算 · 计算机科学 2023-03-09 Magnus Tournoy , Brent Doiron

In machine learning, the use of an artificial neural network is the mainstream approach. Such a network consists of layers of neurons. These neurons are of the same type characterized by the two features: (1) an inner product of an input…

神经与进化计算 · 计算机科学 2017-04-28 Fenglei Fan , Wenxiang Cong , Ge Wang

Developing strong AI could provide a powerful tool for addressing social and scientific challenges. Neural networks (NNs), inspired by biological systems, have the potential to achieve this. However, weight optimization techniques using…

神经与进化计算 · 计算机科学 2024-12-30 Kei Itoh

We propose a recurrent extension of the Ladder networks whose structure is motivated by the inference required in hierarchical latent variable models. We demonstrate that the recurrent Ladder is able to handle a wide variety of complex…

神经与进化计算 · 计算机科学 2017-12-19 Isabeau Prémont-Schwarz , Alexander Ilin , Tele Hotloo Hao , Antti Rasmus , Rinu Boney , Harri Valpola

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

机器学习 · 统计学 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

We study a sequential-learning model featuring a network of naive agents with Gaussian information structures. Agents apply a heuristic rule to aggregate predecessors' actions. They weigh these actions according the strengths of their…

经济学 · 定量金融 2020-05-05 Krishna Dasaratha , Kevin He

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

人工智能 · 计算机科学 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Generative models with an encoding component such as autoencoders currently receive great interest. However, training of autoencoders is typically complicated by the need to train a separate encoder and decoder model that have to be…

机器学习 · 计算机科学 2018-08-24 Robin Tibor Schirrmeister , Patryk Chrabąszcz , Frank Hutter , Tonio Ball

Generative Adversarial Networks (GANs) have proven to be a powerful framework for learning to draw samples from complex distributions. However, GANs are also notoriously difficult to train, with mode collapse and oscillations a common…

机器学习 · 统计学 2018-11-28 Kevin J Liang , Chunyuan Li , Guoyin Wang , Lawrence Carin