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Deep neural networks (DNNs) must cater to a variety of users with different performance needs and budgets, leading to the costly practice of training, storing, and maintaining numerous user/task-specific models. There are solutions in the…

We present a novel approach (DyNODE) that captures the underlying dynamics of a system by incorporating control in a neural ordinary differential equation framework. We conduct a systematic evaluation and comparison of our method and…

机器学习 · 计算机科学 2020-09-10 Victor M. Martinez Alvarez , Rareş Roşca , Cristian G. Fălcuţescu

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

系统与控制 · 计算机科学 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

In this chapter, we utilize dynamical systems to analyze several aspects of machine learning algorithms. As an expository contribution we demonstrate how to re-formulate a wide variety of challenges from deep neural networks, (stochastic)…

动力系统 · 数学 2025-07-08 Dennis Chemnitz , Maximilian Engel , Christian Kuehn , Sara-Viola Kuntz

This paper introduces a deep learning modular network for side-channel analysis. Our deep learning approach features the capability to exchange part of it (modules) with others networks. We aim to introduce reusable trained modules into…

密码学与安全 · 计算机科学 2022-03-18 Servio Paguada , Lejla Batina , Ileana Buhan , Igor Armendariz

We study mechanisms to characterize how the asymptotic convergence of backpropagation in deep architectures, in general, is related to the network structure, and how it may be influenced by other design choices including activation type,…

机器学习 · 计算机科学 2017-03-02 Vamsi K Ithapu , Sathya N Ravi , Vikas Singh

A dynamical neural network consists of a set of interconnected neurons that interact over time continuously. It can exhibit computational properties in the sense that the dynamical system's evolution and/or limit points in the associated…

机器学习 · 计算机科学 2018-05-24 Tsung-Han Lin , Ping Tak Peter Tang

A residual network (or ResNet) is a standard deep neural net architecture, with state-of-the-art performance across numerous applications. The main premise of ResNets is that they allow the training of each layer to focus on fitting just…

机器学习 · 计算机科学 2018-09-28 Ohad Shamir

Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

机器学习 · 计算机科学 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

Convolutional neural networks (CNNs) depend on deep network architectures to extract accurate information for image super-resolution. However, obtained information of these CNNs cannot completely express predicted high-quality images for…

图像与视频处理 · 电气工程与系统科学 2024-03-25 Chunwei Tian , Xuanyu Zhang , Qi Zhang , Mingming Yang , Zhaojie Ju

In machine learning, there is a fundamental trade-off between ease of optimization and expressive power. Neural Networks, in particular, have enormous expressive power and yet are notoriously challenging to train. The nature of that…

机器学习 · 计算机科学 2015-11-24 Diogo Almeida , Nate Sauder

In this paper, we propose the Deep Structured self-Driving Network (DSDNet), which performs object detection, motion prediction, and motion planning with a single neural network. Towards this goal, we develop a deep structured energy based…

计算机视觉与模式识别 · 计算机科学 2020-08-14 Wenyuan Zeng , Shenlong Wang , Renjie Liao , Yun Chen , Bin Yang , Raquel Urtasun

Deep residual networks (ResNets) and their variants are widely used in many computer vision applications and natural language processing tasks. However, the theoretical principles for designing and training ResNets are still not fully…

机器学习 · 统计学 2018-02-05 Bo Chang , Lili Meng , Eldad Haber , Frederick Tung , David Begert

The deployment of deep neural networks in real-world applications is mostly restricted by their high inference costs. Extensive efforts have been made to improve the accuracy with expert-designed or algorithm-searched architectures.…

机器学习 · 计算机科学 2020-11-10 Shaofeng Cai , Yao Shu , Wei Wang , Beng Chin Ooi

Dynamic neural network is an emerging research topic in deep learning. Compared to static models which have fixed computational graphs and parameters at the inference stage, dynamic networks can adapt their structures or parameters to…

计算机视觉与模式识别 · 计算机科学 2021-12-03 Yizeng Han , Gao Huang , Shiji Song , Le Yang , Honghui Wang , Yulin Wang

In this paper, we propose a deep neural network architecture for object recognition based on recurrent neural networks. The proposed network, called ReNet, replaces the ubiquitous convolution+pooling layer of the deep convolutional neural…

计算机视觉与模式识别 · 计算机科学 2015-07-24 Francesco Visin , Kyle Kastner , Kyunghyun Cho , Matteo Matteucci , Aaron Courville , Yoshua Bengio

Many techniques have been developed, such as model compression, to make Deep Neural Networks (DNNs) inference more efficiently. Nevertheless, DNNs still lack excellent run-time dynamic inference capability to enable users trade-off accuracy…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Li Yang , Zhezhi He , Yu Cao , Deliang Fan

We analyze the input-output behavior of residual networks from a dynamical system point of view by disentangling the residual dynamics from the output activities before the classification stage. For a network with simple skip connections…

计算机视觉与模式识别 · 计算机科学 2021-05-12 Fereshteh Lagzi

The Deep Operator Network (DeepONet) is a powerful neural operator architecture that uses two neural networks to map between infinite-dimensional function spaces. This architecture allows for the evaluation of the solution field at any…

机器学习 · 计算机科学 2026-02-17 Bahador Bahmani , Somdatta Goswami , Ioannis G. Kevrekidis , Michael D. Shields

The goal of this document is to provide a pedagogical introduction to the main concepts underpinning the training of deep neural networks using gradient descent; a process known as backpropagation. Although we focus on a very influential…

机器学习 · 计算机科学 2018-11-30 Laurent Boué