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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

Computer vision systems in real-world applications need to be robust to partial occlusion while also being explainable. In this work, we show that black-box deep convolutional neural networks (DCNNs) have only limited robustness to partial…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Adam Kortylewski , Qing Liu , Angtian Wang , Yihong Sun , Alan Yuille

Understanding the functional principles of information processing in deep neural networks continues to be a challenge, in particular for networks with trained and thus non-random weights. To address this issue, we study the mapping between…

Disordered Systems and Neural Networks · Physics 2023-04-05 Kirsten Fischer , Alexandre René , Christian Keup , Moritz Layer , David Dahmen , Moritz Helias

Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

Machine Learning · Statistics 2016-10-11 Anthony Caterini , Dong Eui Chang

The theoretical explanation for deep neural network (DNN) is still an open problem. In this paper DNN is considered as a discrete-time dynamical system due to its layered structure. The complexity provided by the nonlinearity in the…

Machine Learning · Computer Science 2019-01-09 Husheng Li

The goal of this thesis is to improve our understanding of the internal mechanisms by which deep artificial neural networks create meaningful representations and are able to generalize. We focus on the challenge of characterizing the…

Machine Learning · Computer Science 2025-10-29 Diego Doimo

Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…

Brain imaging data such as EEG or MEG are high-dimensional spatiotemporal data often degraded by complex, non-Gaussian noise. For reliable analysis of brain imaging data, it is important to extract discriminative, low-dimensional intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Yiluan Guo , Hossein Nejati , Ngai-Man Cheung

Deep neural networks excel at finding hierarchical representations that solve complex tasks over large data sets. How can we humans understand these learned representations? In this work, we present network dissection, an analytic framework…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 David Bau , Jun-Yan Zhu , Hendrik Strobelt , Agata Lapedriza , Bolei Zhou , Antonio Torralba

Recently proposed neural network activation functions such as rectified linear, maxout, and local winner-take-all have allowed for faster and more effective training of deep neural architectures on large and complex datasets. The common…

Neural and Evolutionary Computing · Computer Science 2015-04-13 Rupesh Kumar Srivastava , Jonathan Masci , Faustino Gomez , Jürgen Schmidhuber

Neural networks are known to be effective function approximators. Recently, deep neural networks have proven to be very effective in pattern recognition, classification tasks and human-level control to model highly nonlinear realworld…

Neural and Evolutionary Computing · Computer Science 2016-10-06 Olalekan Ogunmolu , Xuejun Gu , Steve Jiang , Nicholas Gans

We present a method for visualising the response of a deep neural network to a specific input. For image data for instance our method will highlight areas that provide evidence in favor of, and against choosing a certain class. The method…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Luisa M. Zintgraf , Taco S. Cohen , Max Welling

Deep Neural Networks (DNNs) deliver impressive performance but their black-box nature limits deployment in high-stakes domains requiring transparency. We introduce Compositional Function Networks (CFNs), a novel framework that builds…

Machine Learning · Computer Science 2025-08-01 Fang Li

Deep neural networks have proved to be a very effective way to perform classification tasks. They excel when the input data is high dimensional, the relationship between the input and the output is complicated, and the number of labeled…

Machine Learning · Computer Science 2017-11-28 Nicholas Frosst , Geoffrey Hinton

Understanding neural networks is challenging due to their high-dimensional, interacting components. Inspired by human cognition, which processes complex sensory data by chunking it into recurring entities, we propose leveraging this…

Machine Learning · Computer Science 2025-02-05 Shuchen Wu , Stephan Alaniz , Eric Schulz , Zeynep Akata

Compositional generalization is the capacity to recognize and imagine a large amount of novel combinations from known components. It is a key in human intelligence, but current neural networks generally lack such ability. This report…

Artificial Intelligence · Computer Science 2021-02-09 Yuanpeng Li

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows…

Disordered Systems and Neural Networks · Physics 2008-02-28 J. P. Bagrow , E. M. Bollt , J. D. Skufca , D. ben-Avraham

Deep learning models are favored in many research and industry areas and have reached the accuracy of approximating or even surpassing human level. However they've long been considered by researchers as black-box models for their…

Machine Learning · Computer Science 2020-10-16 Xiaojian Wang , Jingyuan Wang , Ke Tang

We propose $\chi$-net, an intrinsically interpretable architecture combining the compositional multilinear structure of tensor networks with the expressivity and efficiency of deep neural networks. $\chi$-nets retain equal accuracy compared…

Machine Learning · Computer Science 2025-04-04 Thomas Dooms , Ward Gauderis , Geraint A. Wiggins , Jose Oramas

With the success of deep learning, recent efforts have been focused on analyzing how learned networks make their classifications. We are interested in analyzing the network output based on the network structure and information flow through…

Machine Learning · Computer Science 2018-02-13 Sandeep Konam , Ian Quah , Stephanie Rosenthal , Manuela Veloso