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Complex nonlinear models such as deep neural network (DNNs) have become an important tool for image classification, speech recognition, natural language processing, and many other fields of application. These models however lack…

Graph convolutional networks are a popular class of deep neural network algorithms which have shown success in a number of relational learning tasks. Despite their success, graph convolutional networks exhibit a number of peculiar features,…

Machine Learning · Computer Science 2022-08-22 Thomas Gebhart

Deep neural networks have rightfully won the place of one of the most accurate analysis tools in high energy physics. In this paper we will cover several methods of improving the performance of a deep neural network in a classification task…

Data Analysis, Statistics and Probability · Physics 2021-09-20 Lev Dudko , Petr Volkov , Georgii Vorotnikov , Andrei Zaborenko

Deep learning has arguably achieved tremendous success in recent years. In simple words, deep learning uses the composition of many nonlinear functions to model the complex dependency between input features and labels. While neural networks…

Machine Learning · Statistics 2019-04-16 Jianqing Fan , Cong Ma , Yiqiao Zhong

Compression techniques for deep neural network models are becoming very important for the efficient execution of high-performance deep learning systems on edge-computing devices. The concept of model compression is also important for…

Kernel methods are versatile tools for function approximation and surrogate modeling. In particular, greedy techniques offer computational efficiency and reliability through inherent sparsity and provable convergence. Inspired by the…

Numerical Analysis · Mathematics 2026-03-09 Marian Klink , Tobias Ehring , Robin Herkert , Robin Lautenschlager , Dominik Göddeke , Bernard Haasdonk

We show that deep neural networks trained across diverse tasks exhibit remarkably similar low-dimensional parametric subspaces. We provide the first large-scale empirical evidence that demonstrates that neural networks systematically…

Machine Learning · Computer Science 2025-12-09 Prakhar Kaushik , Shravan Chaudhari , Ankit Vaidya , Rama Chellappa , Alan Yuille

There is currently a debate within the neuroscience community over the likelihood of the brain performing backpropagation (BP). To better mimic the brain, training a network $\textit{one layer at a time}$ with only a "single forward pass"…

Machine Learning · Statistics 2022-02-10 Chieh Wu , Aria Masoomi , Arthur Gretton , Jennifer Dy

This study investigates discriminative patterns learned by neural networks for accurate speech classification, with a specific focus on vowel classification tasks. By examining the activations and features of neural networks for vowel…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-25 Jesin James , Balamurali B. T. , Binu Abeysinghe , Junchen Liu

The empirical success of deep convolutional networks on tasks involving high-dimensional data such as images or audio suggests that they can efficiently approximate certain functions that are well-suited for such tasks. In this paper, we…

Machine Learning · Statistics 2022-03-22 Alberto Bietti

Imaging through scattering is an important, yet challenging problem. Tremendous progress has been made by exploiting the deterministic input-output "transmission matrix" for a fixed medium. However, this "one-to-one" mapping is highly…

Image and Video Processing · Electrical Eng. & Systems 2018-09-27 Yunzhe Li , Yujia Xue , Lei Tian

We proposed a framework for solving inverse problems in differential equations based on neural networks and automatic differentiation. Neural networks are used to approximate hidden fields. We analyze the source of errors in the framework…

Numerical Analysis · Mathematics 2024-12-20 Kailai Xu , Eric Darve

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…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

Spectral unmixing is an important task in hyperspectral image processing for separating the mixed spectral data pertaining to various materials observed individual pixels. Recently, nonlinear spectral unmixing has received particular…

Image and Video Processing · Electrical Eng. & Systems 2021-10-07 Min Zhao , Mou Wang , Jie Chen , Susanto Rahardja

We derive an estimator of the spectral density of a functional time series that is the output of a multilayer perceptron neural network. The estimator is motivated by difficulties with the computation of existing spectral density estimators…

Methodology · Statistics 2026-01-05 Neda Mohammadi , Soham Sarkar , Piotr Kokoszka

We present a graph bisection and partitioning algorithm based on graph neural networks. For each node in the graph, the network outputs probabilities for each of the partitions. The graph neural network consists of two modules: an embedding…

Machine Learning · Computer Science 2021-12-09 Alice Gatti , Zhixiong Hu , Tess Smidt , Esmond G. Ng , Pieter Ghysels

Deep neural networks with lots of parameters are typically used for large-scale computer vision tasks such as image classification. This is a result of using dense matrix multiplications and convolutions. However, sparse computations are…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Suraj Srinivas , Akshayvarun Subramanya , R. Venkatesh Babu

Neural networks in the lazy training regime converge to kernel machines. Can neural networks in the rich feature learning regime learn a kernel machine with a data-dependent kernel? We demonstrate that this can indeed happen due to a…

Machine Learning · Statistics 2022-02-07 Alexander Atanasov , Blake Bordelon , Cengiz Pehlevan

The rank of neural networks measures information flowing across layers. It is an instance of a key structural condition that applies across broad domains of machine learning. In particular, the assumption of low-rank feature representations…

Machine Learning · Computer Science 2022-06-14 Ruili Feng , Kecheng Zheng , Yukun Huang , Deli Zhao , Michael Jordan , Zheng-Jun Zha

It is widely believed that deep neural networks contain layer specialization, wherein neural networks extract hierarchical features representing edges and patterns in shallow layers and complete objects in deeper layers. Unlike common…

Machine Learning · Computer Science 2022-03-04 Avi Schwarzschild , Arjun Gupta , Amin Ghiasi , Micah Goldblum , Tom Goldstein