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Unitary neural networks are promising alternatives for solving the exploding and vanishing activation/gradient problem without the need for explicit normalization that reduces the inference speed. However, they often require longer training…

Machine Learning · Computer Science 2021-02-22 Hao-Yuan Chang

Iterative differential approximation methods that rely upon backpropagation have enabled the optimization of neural networks; however, at present, they remain computationally expensive, especially when training models at scale. In this…

Machine Learning · Computer Science 2023-11-14 Jake Ryland Williams , Haoran Zhao

Critical aspects of computational imaging systems, such as experimental design and image priors, can be optimized through deep networks formed by the unrolled iterations of classical model-based reconstructions (termed physics-based…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Michael Kellman , Kevin Zhang , Jon Tamir , Emrah Bostan , Michael Lustig , Laura Waller

The backpropagation algorithm for neural networks is widely felt hard to understand, despite the existence of some well-written explanations and/or derivations. This paper provides a new derivation of this algorithm based on the concept of…

Machine Learning · Computer Science 2022-05-03 Yiping Cheng

The ubiquitous backpropagation algorithm requires sequential updates through the network introducing a locking problem. In addition, back-propagation relies on the transpose of forward weight matrices to compute updates, introducing a…

Machine Learning · Computer Science 2023-10-31 David Kappel , Khaleelulla Khan Nazeer , Cabrel Teguemne Fokam , Christian Mayr , Anand Subramoney

We introduce Error Forward-Propagation, a biologically plausible mechanism to propagate error feedback forward through the network. Architectural constraints on connectivity are virtually eliminated for error feedback in the brain;…

Neural and Evolutionary Computing · Computer Science 2018-08-13 Adam A. Kohan , Edward A. Rietman , Hava T. Siegelmann

Reducing energy consumption has become a pressing need for modern machine learning, which has achieved many of its most impressive results by scaling to larger and more energy-consumptive neural networks. Unfortunately, the main algorithm…

Machine Learning · Computer Science 2025-07-10 Risi Jaiswal , Supriyo Datta , Joseph G. Makin

The design of image reconstruction algorithms for near-range handheld synthetic aperture radar (SAR) systems has gained increasing popularity due to the promising performance of portable millimeter-wave (MMW) imaging devices in various…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Lei Wang , Xianxun Yao , Tiancheng Song , Guolin Sun

Large multilayer neural networks trained with backpropagation have recently achieved state-of-the-art results in a wide range of problems. However, using backprop for neural net learning still has some disadvantages, e.g., having to tune a…

Machine Learning · Statistics 2015-07-16 José Miguel Hernández-Lobato , Ryan P. Adams

We introduce a novel technique for designing color filter metasurfaces using a data-driven approach based on deep learning. Our innovative approach employs inverse design principles to identify highly efficient designs that outperform all…

Concept Factorization (CF) and its variants may produce inaccurate representation and clustering results due to the sensitivity to noise, hard constraint on the reconstruction error and pre-obtained approximate similarities. To improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Zhao Zhang , Yan Zhang , Sheng Li , Guangcan Liu , Dan Zeng , Shuicheng Yan , Meng Wang

This paper presents a concise mathematical framework for investigating both feed-forward and backward process, during the training to learn model weights, of an artificial neural network (ANN). Inspired from the idea of the two-step rule…

Neural and Evolutionary Computing · Computer Science 2023-05-02 Ahmed Boughammoura

In this paper we use deep feedforward artificial neural networks to approximate solutions to partial differential equations in complex geometries. We show how to modify the backpropagation algorithm to compute the partial derivatives of the…

Machine Learning · Statistics 2018-08-28 Jens Berg , Kaj Nyström

We investigate the concept of Best Approximation for Feedforward Neural Networks (FNN) and explore their convergence properties through the lens of Random Projection (RPNNs). RPNNs have predetermined and fixed, once and for all, internal…

Machine Learning · Computer Science 2024-02-20 Gianluca Fabiani

The de facto algorithm for training the back pass of a feedforward neural network is backpropagation (BP). The use of almost-everywhere differentiable activation functions made it efficient and effective to propagate the gradient backwards…

Neural and Evolutionary Computing · Computer Science 2022-06-14 John Waldo

Algorithmic fairness has become a central topic in machine learning, and mitigating disparities across different subpopulations has emerged as a rapidly growing research area. In this paper, we systematically study the classification of…

Machine Learning · Statistics 2025-05-15 Xiaoyu Hu , Gengyu Xue , Zhenhua Lin , Yi Yu

The backpropagation algorithm is an invaluable tool for training artificial neural networks; however, because of a weight sharing requirement, it does not provide a plausible model of brain function. Here, in the context of a two-layer…

Neural and Evolutionary Computing · Computer Science 2020-12-01 Siavash Golkar , David Lipshutz , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

The inference structures and computational complexity of existing deep neural networks, once trained, are fixed and remain the same for all test images. However, in practice, it is highly desirable to establish a progressive structure for…

Computer Vision and Pattern Recognition · Computer Science 2018-04-27 Zhi Zhang , Guanghan Ning , Yigang Cen , Yang Li , Zhiqun Zhao , Hao Sun , Zhihai He

This paper introduces a family of local feature aggregation functions and a novel method to estimate their parameters, such that they generate optimal representations for classification (or any task that can be expressed as a cost function…

Machine Learning · Computer Science 2017-06-28 Angelos Katharopoulos , Despoina Paschalidou , Christos Diou , Anastasios Delopoulos

Stochastic gradient descent (SGD) has achieved great success in training deep neural network, where the gradient is computed through back-propagation. However, the back-propagated values of different layers vary dramatically. This…

Machine Learning · Statistics 2018-02-28 Huishuai Zhang , Wei Chen , Tie-Yan Liu