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Neural networks are playing a crucial role in everyday life, with the most modern generative models able to achieve impressive results. Nonetheless, their functioning is still not very clear, and several strategies have been adopted to…

微分几何 · 数学 2024-04-10 Alessandro Benfenati , Alessio Marta

Over-parameterized deep neural networks have proven to be able to learn an arbitrary dataset with 100$\%$ training accuracy. Because of a risk of overfitting and computational cost issues, we cannot afford to increase the number of network…

机器学习 · 计算机科学 2019-04-08 Bukweon Kim , Sung Min Lee , Jin Keun Seo

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

最优化与控制 · 数学 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger

Spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Traffic forecasting is one canonical example of such learning task. The task is challenging due to (1) complex spatial dependency on…

机器学习 · 计算机科学 2018-02-26 Yaguang Li , Rose Yu , Cyrus Shahabi , Yan Liu

This survey provides an in-depth and explanatory review of the approximation properties of deep neural networks, with a focus on feed-forward and residual architectures. The primary objective is to examine how effectively neural networks…

机器学习 · 计算机科学 2024-12-18 Owen Davis , Mohammad Motamed

Learning time-dependent partial differential equations (PDEs) that govern evolutionary observations is one of the core challenges for data-driven inference in many fields. In this work, we propose to capture the essential dynamics of…

数值分析 · 数学 2021-09-07 Ricardo A. Delgadillo , Jingwei Hu , Haizhao Yang

Deep Reinforcement Learning (DRL) sometimes needs a large amount of data to converge in the training procedure and in some cases, each action of the agent may produce regret. This barrier naturally motivates different data sets or…

机器学习 · 计算机科学 2021-10-01 Yimin Shi

In distributed optimization, the practical problem-solving performance is essentially sensitive to algorithm selection, parameter setting, problem type and data pattern. Thus, it is often laborious to acquire a highly efficient method for a…

最优化与控制 · 数学 2024-01-04 Daokuan Zhu , Tianqi Xu , Jie Lu

Models based on deep convolutional networks have dominated recent image interpretation tasks; we investigate whether models which are also recurrent, or "temporally deep", are effective for tasks involving sequences, visual and otherwise.…

计算机视觉与模式识别 · 计算机科学 2016-06-02 Jeff Donahue , Lisa Anne Hendricks , Marcus Rohrbach , Subhashini Venugopalan , Sergio Guadarrama , Kate Saenko , Trevor Darrell

In this paper we describe the implementation of semi-structured deep distributional regression, a flexible framework to learn conditional distributions based on the combination of additive regression models and deep networks. Our…

On account of its many successes in inference tasks and denoising applications, Dictionary Learning (DL) and its related sparse optimization problems have garnered a lot of research interest. While most solutions have focused on single…

机器学习 · 计算机科学 2020-10-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

Despite their impressive performance, Deep Neural Networks (DNNs) typically underperform Gradient Boosting Trees (GBTs) on many tabular-dataset learning tasks. We propose that applying a different regularization coefficient to each weight…

机器学习 · 统计学 2018-10-25 Ira Shavitt , Eran Segal

Modeling and generating graphs is fundamental for studying networks in biology, engineering, and social sciences. However, modeling complex distributions over graphs and then efficiently sampling from these distributions is challenging due…

机器学习 · 计算机科学 2018-06-26 Jiaxuan You , Rex Ying , Xiang Ren , William L. Hamilton , Jure Leskovec

A key attribute that drives the unprecedented success of modern Recurrent Neural Networks (RNNs) on learning tasks which involve sequential data, is their ability to model intricate long-term temporal dependencies. However, a well…

机器学习 · 计算机科学 2018-06-07 Yoav Levine , Or Sharir , Alon Ziv , Amnon Shashua

Modern neuroimaging techniques, such as diffusion tensor imaging (DTI) and functional magnetic resonance imaging (fMRI), enable us to model the human brain as a brain network or connectome. Capturing brain networks' structural information…

In this paper, we consider robust nonparametric regression using deep neural networks with ReLU activation function. While several existing theoretically justified methods are geared towards robustness against identical heavy-tailed noise…

统计方法学 · 统计学 2023-11-01 Juntong Chen

Deep neural networks (DNNs) are widely studied in various applications. A DNN consists of layers of neurons that compute affine combinations, apply nonlinear operations, and produce corresponding activations. The rectified linear unit…

机器学习 · 计算机科学 2024-02-13 Navid Aftabi , Nima Moradi , Fatemeh Mahroo

Coherent imaging through scatter is a challenging task in computational imaging. Both model-based and data-driven approaches have been explored to solve the inverse scattering problem. In our previous work, we have shown that a deep…

光学 · 物理学 2021-02-03 Yuzhe Li , Shiyi Cheng , Yujia Xue , Lei Tian

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

机器学习 · 计算机科学 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

The Dirichlet Belief Network~(DirBN) has been recently proposed as a promising approach in learning interpretable deep latent representations for objects. In this work, we leverage its interpretable modelling architecture and propose a deep…

机器学习 · 计算机科学 2020-04-30 Yaqiong Li , Xuhui Fan , Ling Chen , Bin Li , Zheng Yu , Scott A. Sisson