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Deep Neural Networks (DNNs) are analyzed via the theoretical framework of the information bottleneck (IB) principle. We first show that any DNN can be quantified by the mutual information between the layers and the input and output…

Machine Learning · Computer Science 2015-03-10 Naftali Tishby , Noga Zaslavsky

While deep learning methods have achieved state-of-the-art performance in many challenging inverse problems like image inpainting and super-resolution, they invariably involve problem-specific training of the networks. Under this approach,…

Computer Vision and Pattern Recognition · Computer Science 2017-03-30 J. H. Rick Chang , Chun-Liang Li , Barnabas Poczos , B. V. K. Vijaya Kumar , Aswin C. Sankaranarayanan

This work explores hypernetworks: an approach of using a one network, also known as a hypernetwork, to generate the weights for another network. Hypernetworks provide an abstraction that is similar to what is found in nature: the…

Machine Learning · Computer Science 2016-12-02 David Ha , Andrew Dai , Quoc V. Le

The success of deep neural networks has inspired many to wonder whether other learners could benefit from deep, layered architectures. We present a general framework called forward thinking for deep learning that generalizes the…

Machine Learning · Statistics 2017-05-23 Kevin Miller , Chris Hettinger , Jeffrey Humpherys , Tyler Jarvis , David Kartchner

Why do brains have inhibitory connections? Why do deep networks have negative weights? We propose an answer from the perspective of representation capacity. We believe representing functions is the primary role of both (i) the brain in…

Machine Learning · Computer Science 2023-08-21 Qingyang Wang , Michael A. Powell , Ali Geisa , Eric Bridgeford , Carey E. Priebe , Joshua T. Vogelstein

Binary Neural Networks (BNNs) enable efficient deep learning by saving on storage and computational costs. However, as the size of neural networks continues to grow, meeting computational requirements remains a challenge. In this work, we…

Machine Learning · Computer Science 2024-07-18 Matt Gorbett , Hossein Shirazi , Indrakshi Ray

The stunning empirical successes of neural networks currently lack rigorous theoretical explanation. What form would such an explanation take, in the face of existing complexity-theoretic lower bounds? A first step might be to show that…

Machine Learning · Computer Science 2017-07-18 Le Song , Santosh Vempala , John Wilmes , Bo Xie

This article studies (multilayer perceptron) neural networks with an emphasis on the transformations involved --- both forward and backward --- in order to develop a semantical/logical perspective that is in line with standard program…

Neural and Evolutionary Computing · Computer Science 2018-03-28 Bart Jacobs , David Sprunger

This short paper presents the idea that neural backpropagation is using dendritic processing to enable individual neurons to perform autoencoding. Using a very simple connection weight search heuristic and artificial neural network model,…

Neural and Evolutionary Computing · Computer Science 2024-04-26 Larry Bull

We present a computationally efficient method for compressing a trained neural network without using real data. We break the problem of data-free network compression into independent layer-wise compressions. We show how to efficiently…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Maxwell Horton , Yanzi Jin , Ali Farhadi , Mohammad Rastegari

Whilst deep neural networks have shown great empirical success, there is still much work to be done to understand their theoretical properties. In this paper, we study the relationship between random, wide, fully connected, feedforward…

Machine Learning · Statistics 2018-08-17 Alexander G. de G. Matthews , Mark Rowland , Jiri Hron , Richard E. Turner , Zoubin Ghahramani

Inspired by the recent neuroscience studies on the left-right asymmetry of the human brain in processing low and high spatial frequency information, this paper introduces a dual skipping network which carries out coarse-to-fine object…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Changmao Cheng , Yanwei Fu , Yu-Gang Jiang , Wei Liu , Wenlian Lu , Jianfeng Feng , Xiangyang Xue

Despite its long history, Bayesian neural networks (BNNs) and variational training remain underused in practice: standard Gaussian posteriors misalign with network geometry, KL terms can be brittle in high dimensions, and implementations…

Machine Learning · Computer Science 2025-09-09 Carlos Stein Brito

Backpropagation is the core learning mechanism underlying deep learning. However, whether and how this algorithm is implemented in the brain remains highly debated. In particular, while forward activations of pretrained models reliably map…

It is well-known that the problem of finding the optimal beamformers in massive multiple-input multiple-output (MIMO) networks is challenging because of its non-convexity, and conventional optimization based algorithms suffer from high…

Information Theory · Computer Science 2020-11-10 Minghe Zhu , Tsung-Hui Chang , Mingyi Hong

This paper addresses how a recursive neural network model can automatically leave out useless information and emphasize important evidence, in other words, to perform "weight tuning" for higher-level representation acquisition. We propose…

Neural and Evolutionary Computing · Computer Science 2014-12-16 Jiwei Li

Multiplex network embedding is an effective technique to jointly learn the low-dimensional representations of nodes across network layers. However, the number of edges among layers may vary significantly. This data imbalance will lead to…

Social and Information Networks · Computer Science 2023-01-02 Kejia Chen , Yinchu Qiu , Zheng Liu

Neural Networks (NN) has been used in many areas with great success. When a NN's structure (Model) is given, during the training steps, the parameters of the model are determined using an appropriate criterion and an optimization algorithm…

Machine Learning · Computer Science 2024-08-15 Ali Mohammad-Djafari , Ning Chu , Li Wang , Caifang Cai , Liang Yu

Intermediate features at different layers of a deep neural network are known to be discriminative for visual patterns of different complexities. However, most existing works ignore such cross-layer heterogeneities when classifying samples…

Computer Vision and Pattern Recognition · Computer Science 2016-07-20 Xiaojie Jin , Yunpeng Chen , Jian Dong , Jiashi Feng , Shuicheng Yan

In low-latency or mobile applications, lower computation complexity, lower memory footprint and better energy efficiency are desired. Many prior works address this need by removing redundant parameters. Parameter quantization replaces…

Machine Learning · Computer Science 2021-11-16 Cheng-Chou Lan