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We propose to optimize the activation functions of a deep neural network by adding a corresponding functional regularization to the cost function. We justify the use of a second-order total-variation criterion. This allows us to derive a…

Machine Learning · Statistics 2019-02-04 Michael Unser

Deep kernel learning provides an elegant and principled framework for combining the structural properties of deep learning algorithms with the flexibility of kernel methods. By means of a deep neural network, we learn a parametrized kernel…

Machine Learning · Computer Science 2020-12-14 Prudencio Tossou , Basile Dura , Francois Laviolette , Mario Marchand , Alexandre Lacoste

Recently, non-stationary spectral kernels have drawn much attention, owing to its powerful feature representation ability in revealing long-range correlations and input-dependent characteristics. However, non-stationary spectral kernels are…

Machine Learning · Computer Science 2020-03-02 Jian Li , Yong Liu , Weiping Wang

Convolutional Neural Networks, as most artificial neural networks, are commonly viewed as methods different in essence from kernel-based methods. We provide a systematic translation of Convolutional Neural Networks (ConvNets) into their…

Machine Learning · Statistics 2019-03-20 Corinne Jones , Vincent Roulet , Zaid Harchaoui

The interplay between inter-neuronal network topology and cognition has been studied deeply by connectomics researchers and network scientists, which is crucial towards understanding the remarkable efficacy of biological neural networks.…

Machine Learning · Computer Science 2019-12-20 Nicholas Roberts , Dian Ang Yap , Vinay Uday Prabhu

Characterizing the function spaces defined by neural networks helps understanding the corresponding learning models and their inductive bias. While in some limits neural networks correspond to function spaces that are Hilbert spaces, these…

Machine Learning · Statistics 2025-08-22 Francesca Bartolucci , Ernesto De Vito , Lorenzo Rosasco , Stefano Vigogna

Convolutional Neural Networks (CNNs) have been proven to be extremely successful at solving computer vision tasks. State-of-the-art methods favor such deep network architectures for its accuracy performance, with the cost of having massive…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Jiahui Huang , Kshitij Dwivedi , Gemma Roig

Recent studies have shown that deep neural networks (DNNs) perform significantly better than shallow networks and Gaussian mixture models (GMMs) on large vocabulary speech recognition tasks. In this paper, we argue that the improved…

Machine Learning · Computer Science 2018-12-06 Dong Yu , Michael L. Seltzer , Jinyu Li , Jui-Ting Huang , Frank Seide

Building highly non-linear and non-parametric models is central to several state-of-the-art machine learning systems. Kernel methods form an important class of techniques that induce a reproducing kernel Hilbert space (RKHS) for inferring…

Machine Learning · Statistics 2017-11-16 Huan Song , Jayaraman J. Thiagarajan , Prasanna Sattigeri , Andreas Spanias

Recently, methods have been developed to accurately predict the testing performance of a Deep Neural Network (DNN) on a particular task, given statistics of its underlying topological structure. However, further leveraging this newly found…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Stuart Synakowski , Fabian Benitez-Quiroz , Aleix M. Martinez

This paper presents two models of neural-networks and their training applicable to neural networks of arbitrary width, depth and topology, assuming only finite-energy neural activations; and a novel representor theory for neural networks in…

Machine Learning · Statistics 2024-05-27 Alistair Shilton , Sunil Gupta , Santu Rana , Svetha Venkatesh

Deep neural networks (DNNs) have achieved remarkable empirical success, yet the absence of a principled theoretical foundation continues to hinder their systematic development. In this survey, we present differential equations as a…

Artificial Intelligence · Computer Science 2026-03-20 Hongjue Zhao , Yizhuo Chen , Yuchen Wang , Hairong Qi , Lui Sha , Tarek Abdelzaher , Huajie Shao

In this work, we investigate the value of employing deep learning for the task of wireless signal modulation recognition. Recently in [1], a framework has been introduced by generating a dataset using GNU radio that mimics the imperfections…

Machine Learning · Computer Science 2018-01-08 Xiaoyu Liu , Diyu Yang , Aly El Gamal

While neural networks are used for classification tasks across domains, a long-standing open problem in machine learning is determining whether neural networks trained using standard procedures are optimal for classification, i.e., whether…

Machine Learning · Computer Science 2023-05-03 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

Knowledge tracing---where a machine models the knowledge of a student as they interact with coursework---is a well established problem in computer supported education. Though effectively modeling student knowledge would have high…

Artificial Intelligence · Computer Science 2015-06-22 Chris Piech , Jonathan Spencer , Jonathan Huang , Surya Ganguli , Mehran Sahami , Leonidas Guibas , Jascha Sohl-Dickstein

Spiking neural networks (SNNs) are well known as the brain-inspired models with high computing efficiency, due to a key component that they utilize spikes as information units, close to the biological neural systems. Although spiking based…

Neural and Evolutionary Computing · Computer Science 2023-04-18 Qi Xu , Yaxin Li , Jiangrong Shen , Jian K Liu , Huajin Tang , Gang Pan

Our proposed deeply-supervised nets (DSN) method simultaneously minimizes classification error while making the learning process of hidden layers direct and transparent. We make an attempt to boost the classification performance by studying…

Machine Learning · Statistics 2017-04-26 Chen-Yu Lee , Saining Xie , Patrick Gallagher , Zhengyou Zhang , Zhuowen Tu

Artificial neural networks which are inspired from the learning mechanism of brain have achieved great successes in many problems, especially those with deep layers. In this paper, we propose a nucleus neural network (NNN) and corresponding…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Jia Liu , Maoguo Gong , Haibo He

Spiking neural networks (SNNs) have closer dynamics to the brain than current deep neural networks. Their low power consumption and sample efficiency make these networks interesting. Recently, several deep convolutional spiking neural…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Shahriar Rezghi Shirsavar , Mohammad-Reza A. Dehaqani

As vast databases of chemical identities become increasingly available, the challenge shifts to how we effectively explore and leverage these resources to study molecular properties. This paper presents an active learning approach for…

Machine Learning · Computer Science 2025-07-17 Ayana Ghosh , Maxim Ziatdinov , Sergei V. Kalinin