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This paper is about a deep learning approach for linear and nonlinear filtering. The idea is to train a neural network with Monte Carlo samples generated from a nominal dynamic model. Then the network weights are applied to Monte Carlo…

信号处理 · 电气工程与系统科学 2021-12-30 Bin Xie , Qing Zhang

The response-only model class selection capability of a novel deep convolutional neural network method is examined herein in a simple, yet effective, manner. Specifically, the responses from a unique degree of freedom along with their class…

系统与控制 · 电气工程与系统科学 2025-11-07 Marios Impraimakis

The application of neural networks in modeling dynamic systems has become prominent due to their ability to estimate complex nonlinear functions. Despite their effectiveness, neural networks face challenges in long-term predictions, where…

机器学习 · 计算机科学 2025-06-10 Parham Oveissi , Turibius Rozario , Ankit Goel

The purpose of this paper is to explore the use of deep learning for the solution of the nonlinear filtering problem. This is achieved by solving the Zakai equation by a deep splitting method, previously developed for approximate solution…

统计计算 · 统计学 2024-09-25 Kasper Bågmark , Adam Andersson , Stig Larsson

This paper studies deep neural networks for solving extremely large linear systems arising from highdimensional problems. Because of the curse of dimensionality, it is expensive to store both the solution and right-hand side vector in such…

数值分析 · 数学 2023-03-07 Yiqi Gu , Michael K. Ng

Deep metric learning maps visually similar images onto nearby locations and visually dissimilar images apart from each other in an embedding manifold. The learning process is mainly based on the supplied image negative and positive training…

计算机视觉与模式识别 · 计算机科学 2020-09-14 Chang-Hui Liang , Wan-Lei Zhao , Run-Qing Chen

In this paper, we study deep diagonal circulant neural networks, that is deep neural networks in which weight matrices are the product of diagonal and circulant ones. Besides making a theoretical analysis of their expressivity, we…

机器学习 · 计算机科学 2019-11-22 Alexandre Araujo , Benjamin Negrevergne , Yann Chevaleyre , Jamal Atif

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

机器学习 · 计算机科学 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

We propose a kernelized classification layer for deep networks. Although conventional deep networks introduce an abundance of nonlinearity for representation (feature) learning, they almost universally use a linear classifier on the learned…

机器学习 · 计算机科学 2021-03-22 Sadeep Jayasumana , Srikumar Ramalingam , Sanjiv Kumar

We propose a novel deep neural network (DNN) based approximation architecture to learn estimates of measurements. We detail an algorithm that enables training of the DNN. The DNN estimator only uses measurements, if and when they are…

机器学习 · 计算机科学 2022-09-13 Shivangi Agarwal , Sanjit K. Kaul , Saket Anand , P. B. Sujit

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

统计理论 · 数学 2021-06-14 Qixian Zhong , Jane-Ling Wang

This paper proposes a new learning paradigm called filter grafting, which aims to improve the representation capability of Deep Neural Networks (DNNs). The motivation is that DNNs have unimportant (invalid) filters (e.g., l1 norm close to…

计算机视觉与模式识别 · 计算机科学 2020-02-27 Fanxu Meng , Hao Cheng , Ke Li , Zhixin Xu , Rongrong Ji , Xing Sun , Gaungming Lu

This paper investigates the learnability of the nonlinearity property of Boolean functions using neural networks. We train encoder style deep neural networks to learn to predict the nonlinearity of Boolean functions from examples of…

机器学习 · 计算机科学 2025-02-04 Sriram Ranga , Nandish Chattopadhyay , Anupam Chattopadhyay

In this paper, we consider the use of deep neural networks in the context of Multiple-Input-Multiple-Output (MIMO) detection. We give a brief introduction to deep learning and propose a modern neural network architecture suitable for this…

机器学习 · 统计学 2017-06-06 Neev Samuel , Tzvi Diskin , Ami Wiesel

We propose to use deep neural networks for generating samples in Monte Carlo integration. Our work is based on non-linear independent components estimation (NICE), which we extend in numerous ways to improve performance and enable its…

机器学习 · 计算机科学 2019-09-04 Thomas Müller , Brian McWilliams , Fabrice Rousselle , Markus Gross , Jan Novák

Training a deep convolutional neural net typically starts with a random initialisation of all filters in all layers which severely reduces the forward signal and back-propagated error and leads to slow and sub-optimal training. Techniques…

计算机视觉与模式识别 · 计算机科学 2017-06-14 Brendan Ruff

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

机器学习 · 统计学 2023-10-11 Nick Polson , Vadim Sokolov

Supervised training of deep neural nets typically relies on minimizing cross-entropy. However, in many domains, we are interested in performing well on metrics specific to the application. In this paper we propose a direct loss minimization…

机器学习 · 计算机科学 2016-06-03 Yang Song , Alexander G. Schwing , Richard S. Zemel , Raquel Urtasun

Monte Carlo dropout may effectively capture model uncertainty in deep learning, where a measure of uncertainty is obtained by using multiple instances of dropout at test time. However, Monte Carlo dropout is applied across the whole network…

信号处理 · 电气工程与系统科学 2020-02-03 Liangping Ma , John Kaewell

In recent years deep neural networks have been successfully applied to the domains of reinforcement learning \cite{bengio2009learning,krizhevsky2012imagenet,hinton2006reducing}. Deep reinforcement learning \cite{mnih2015human} is reported…

机器学习 · 计算机科学 2020-05-19 Huihui Zhang , Wu Huang
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