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We study deep neural networks and their use in semiparametric inference. We establish novel rates of convergence for deep feedforward neural nets. Our new rates are sufficiently fast (in some cases minimax optimal) to allow us to establish…

Econometrics · Economics 2021-01-20 Max H. Farrell , Tengyuan Liang , Sanjog Misra

While on some natural distributions, neural-networks are trained efficiently using gradient-based algorithms, it is known that learning them is computationally hard in the worst-case. To separate hard from easy to learn distributions, we…

Machine Learning · Computer Science 2020-01-22 Eran Malach , Shai Shalev-Shwartz

Deep learning is extensively used in many areas of data mining as a black-box method with impressive results. However, understanding the core mechanism of how deep learning makes predictions is a relatively understudied problem. Here we…

Artificial Intelligence · Computer Science 2024-03-28 Michael Livanos , Ian Davidson

Node classification in structural networks has been proven to be useful in many real world applications. With the development of network embedding, the performance of node classification has been greatly improved. However, nearly all the…

Social and Information Networks · Computer Science 2021-04-13 Jia-Nan Guo , Xian-Ling Mao , Shu-Yang Lin , Wei Wei , Heyan Huang

Deep neural networks have improved image classification dramatically over the past decade, but have done so by focusing on performance measures that treat all classes other than the ground truth as equally wrong. This has led to a situation…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Luca Bertinetto , Romain Mueller , Konstantinos Tertikas , Sina Samangooei , Nicholas A. Lord

Modern machine learning systems based on neural networks have shown great success in learning complex data patterns while being able to make good predictions on unseen data points. However, the limited interpretability of these systems…

Machine Learning · Computer Science 2020-07-22 Sarath Shekkizhar , Antonio Ortega

Deep neural networks (DNNs) offer a means of addressing the challenging task of clustering high-dimensional data. DNNs can extract useful features, and so produce a lower dimensional representation, which is more amenable to clustering…

Machine Learning · Computer Science 2021-07-23 Louis Mahon , Thomas Lukasiewicz

Deep neural networks have achieved impressive experimental results in image classification, but can surprisingly be unstable with respect to adversarial perturbations, that is, minimal changes to the input image that cause the network to…

Artificial Intelligence · Computer Science 2017-05-08 Xiaowei Huang , Marta Kwiatkowska , Sen Wang , Min Wu

Deep neural networks proved to be a very useful and powerful tool with many practical applications. They especially excel at learning from large data sets with labeled samples. However, in order to achieve good learning results, the network…

Neural and Evolutionary Computing · Computer Science 2018-01-03 Włodzimierz Funika , Paweł Koperek

Most techniques for explainable machine learning focus on feature attribution, i.e., values are assigned to the features such that their sum equals the prediction. Example attribution is another form of explanation that assigns weights to…

Machine Learning · Computer Science 2025-02-28 Genghua Dong , Henrik Boström , Michalis Vazirgiannis , Roman Bresson

Deep neural networks are widely used prediction algorithms whose performance often improves as the number of weights increases, leading to over-parametrization. We consider a two-layered neural network whose first layer is frozen while the…

Machine Learning · Computer Science 2023-04-10 Roman Worschech , Bernd Rosenow

Despite their prevalence, deep networks are poorly understood. This is due, at least in part, to their highly parameterized nature. As such, while certain structures have been found to work better than others, the significance of a model's…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Theodore S. Nowak , Jason J. Corso

Convolutional neural networks (CNNs) handle the case where filters extend beyond the image boundary using several heuristics, such as zero, repeat or mean padding. These schemes are applied in an ad-hoc fashion and, being weakly related to…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Carlo Innamorati , Tobias Ritschel , Tim Weyrich , Niloy J. Mitra

Convolutional Neural Networks (CNNs) currently achieve state-of-the-art accuracy in image classification. With a growing number of classes, the accuracy usually drops as the possibilities of confusion increase. Interestingly, the class…

Computer Vision and Pattern Recognition · Computer Science 2017-10-25 Bilal Alsallakh , Amin Jourabloo , Mao Ye , Xiaoming Liu , Liu Ren

Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs…

Computation · Statistics 2025-09-30 Noah Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

3D shape models that directly classify objects from 3D information have become more widely implementable. Current state of the art models rely on deep convolutional and inception models that are resource intensive. Residual neural networks…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Varun Arvind , Anthony Costa , Marcus Badgeley , Samuel Cho , Eric Oermann

The impressive performance of deep learning architectures is associated with a massive increase in model complexity. Millions of parameters need to be tuned, with training and inference time scaling accordingly, together with energy…

Machine Learning · Computer Science 2023-11-10 Paolo Didier Alfano , Vito Paolo Pastore , Lorenzo Rosasco , Francesca Odone

Despite the extreme popularity of deep learning in science and industry, its formal understanding is limited. This thesis puts forth notions of rank as key for developing a theory of deep learning, focusing on the fundamental aspects of…

Machine Learning · Computer Science 2024-12-31 Noam Razin

Deep artificial neural networks have made remarkable progress in different tasks in the field of computer vision. However, the empirical analysis of these models and investigation of their failure cases has received attention recently. In…

Computer Vision and Pattern Recognition · Computer Science 2016-02-10 Babak Saleh , Ahmed Elgammal , Jacob Feldman

Based on the tree architecture, the objective of this paper is to design deep neural networks with two or more hidden layers (called deep nets) for realization of radial functions so as to enable rotational invariance for near-optimal…

Machine Learning · Computer Science 2019-04-04 Charles K. Chui , Shao-Bo Lin , Ding-Xuan Zhou