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The ability to train randomly initialised deep neural networks is known to depend strongly on the variance of the weight matrices and biases as well as the choice of nonlinear activation. Here we complement the existing geometric analysis…

信息论 · 计算机科学 2021-02-09 Jared Tanner , Giuseppe Ughi

In recent years, newly developed methods to train spiking neural networks (SNNs) have rendered them as a plausible alternative to Artificial Neural Networks (ANNs) in terms of accuracy, while at the same time being much more energy…

神经与进化计算 · 计算机科学 2023-05-17 Nicolas Perez-Nieves , Dan F. M Goodman

Biological and artificial neural networks develop internal representations that enable them to perform complex tasks. In artificial networks, the effectiveness of these models relies on their ability to build task specific representation, a…

Identifying systems with high-dimensional inputs and outputs, such as systems measured by video streams, is a challenging problem with numerous applications in robotics, autonomous vehicles and medical imaging. In this paper, we propose a…

系统与控制 · 电气工程与系统科学 2021-05-11 Gerben Izaak Beintema , Roland Toth , Maarten Schoukens

We investigate nonlinear prediction/regression in an online setting and introduce a hybrid model that effectively mitigates, via a joint mechanism through a state space formulation, the need for domain-specific feature engineering issues of…

机器学习 · 统计学 2023-09-20 Mustafa E. Aydın , Arda Fazla , Suleyman S. Kozat

Deep state space models (SSMs) are an actively researched model class for temporal models developed in the deep learning community which have a close connection to classic SSMs. The use of deep SSMs as a black-box identification model can…

系统与控制 · 电气工程与系统科学 2021-06-21 Daniel Gedon , Niklas Wahlström , Thomas B. Schön , Lennart Ljung

Stochastic variational inference is an established way to carry out approximate Bayesian inference for deep models. While there have been effective proposals for good initializations for loss minimization in deep learning, far less…

机器学习 · 统计学 2019-01-28 Simone Rossi , Pietro Michiardi , Maurizio Filippone

Misspecifications (i.e. errors on the parameters) of state space models lead to incorrect inference of the hidden states. This paper studies weakly nonlin-ear state space models with additive Gaussian noises and proposes a method for…

应用统计 · 统计学 2017-04-04 Salima El Kolei , Frédéric Patras

Contemporary wisdom based on empirical studies suggests that standard recurrent neural networks (RNNs) do not perform well on tasks requiring long-term memory. However, precise reasoning for this behavior is still unknown. This paper…

机器学习 · 计算机科学 2021-01-21 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Initializing the weights and the biases is a key part of the training process of a neural network. Unlike the subsequent optimization phase, however, the initialization phase has gained only limited attention in the literature. In this…

机器学习 · 计算机科学 2019-09-06 Ingo Steinwart

In recurrent neural networks, learning long-term dependency is the main difficulty due to the vanishing and exploding gradient problem. Many researchers are dedicated to solving this issue and they proposed many algorithms. Although these…

机器学习 · 计算机科学 2023-07-31 Ran Dou , Jose Principe

The paper investigates nonlinear system identification using system output data at various linearized operating points. A feed-forward multi-layer Artificial Neural Network (ANN) based approach is used for this purpose and tested for two…

系统与控制 · 计算机科学 2016-11-17 Sayan Saha , Saptarshi Das , Anish Acharya , Abhishek Kumar , Sumit Mukherjee , Indranil Pan , Amitava Gupta

Coordinate-based neural representations have shown significant promise as an alternative to discrete, array-based representations for complex low dimensional signals. However, optimizing a coordinate-based network from randomly initialized…

计算机视觉与模式识别 · 计算机科学 2021-03-24 Matthew Tancik , Ben Mildenhall , Terrance Wang , Divi Schmidt , Pratul P. Srinivasan , Jonathan T. Barron , Ren Ng

Good weight initialization serves as an effective measure to reduce the training cost of a deep neural network (DNN) model. The choice of how to initialize parameters is challenging and may require manual tuning, which can be time-consuming…

计算机视觉与模式识别 · 计算机科学 2024-07-17 Yifan Gong , Zheng Zhan , Yanyu Li , Yerlan Idelbayev , Andrey Zharkov , Kfir Aberman , Sergey Tulyakov , Yanzhi Wang , Jian Ren

In this paper, a new framework, named as graphical state space model, is proposed for the real time optimal estimation of a class of nonlinear state space model. By discretizing this kind of system model as an equation which can not be…

系统与控制 · 电气工程与系统科学 2022-11-10 Shaolin Lü

State-space models are ubiquitous in the statistical literature since they provide a flexible and interpretable framework for analyzing many time series. In most practical applications, the state-space model is specified through a…

统计方法学 · 统计学 2020-06-18 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet

The successes of intelligent systems have quite relied on the artificial learning of information, which lead to the broad applications of neural learning solutions. As a common sense, the training of neural networks can be largely improved…

机器学习 · 计算机科学 2025-04-15 Miao Cheng , Feiyan Zhou , Hongwei Zou , Limin Wang

Deep learning, in the form of artificial neural networks, has achieved remarkable practical success in recent years, for a variety of difficult machine learning applications. However, a theoretical explanation for this remains a major open…

机器学习 · 计算机科学 2016-06-15 Itay Safran , Ohad Shamir

Deep-learning-based nonlinear system identification has shown the ability to produce reliable and highly accurate models in practice. However, these black-box models lack physical interpretability, and a considerable part of the learning…

机器学习 · 计算机科学 2025-07-15 Bendegúz M. Györök , Jan H. Hoekstra , Johan Kon , Tamás Péni , Maarten Schoukens , Roland Tóth

Based on the property that solving the system of linear matrix equations via the column space and the row space projections boils down to an approximation in the least squares error sense, a formulation for learning the weight matrices of…

机器学习 · 计算机科学 2018-11-21 Kar-Ann Toh