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We introduce a model-based image reconstruction framework with a convolution neural network (CNN) based regularization prior. The proposed formulation provides a systematic approach for deriving deep architectures for inverse problems with…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

Recent works in deep learning have shown that integrating differentiable physics simulators into the training process can greatly improve the quality of results. Although this combination represents a more complex optimization task than…

Machine Learning · Computer Science 2022-03-22 Patrick Schnell , Philipp Holl , Nils Thuerey

Multi-Grid Back-Projection (MGBP) is a fully-convolutional network architecture that can learn to restore images and videos with upscaling artifacts. Using the same strategy of multi-grid partial differential equation (PDE) solvers this…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Pablo Navarrete Michelini , Wenbin Chen , Hanwen Liu , Dan Zhu , Xingqun Jiang

In many classification problems a classifier should be robust to small variations in the input vector. This is a desired property not only for particular transformations, such as translation and rotation in image classification problems,…

Machine Learning · Statistics 2016-01-18 Sergey Demyanov , James Bailey , Ramamohanarao Kotagiri , Christopher Leckie

The efficient computation of Jacobians represents a fundamental challenge in computational science and engineering. Large-scale modular numerical simulation programs can be regarded as sequences of evaluations of in our case differentiable…

Machine Learning · Computer Science 2024-06-19 Uwe Naumann

We introduce a new method for learning Bayesian neural networks, treating them as a stack of multivariate Bayesian linear regression models. The main idea is to infer the layerwise posterior exactly if we know the target outputs of each…

Machine Learning · Computer Science 2024-11-20 Richard Kurle , Alexej Klushyn , Ralf Herbrich

State-of-the-art systolic array-based accelerators adopt the traditional im2col algorithm to accelerate the inference of convolutional layers. However, traditional im2col cannot efficiently support AI backpropagation. Backpropagation in…

Hardware Architecture · Computer Science 2022-09-21 Jianchao Yang , Mei Wen , Junzhong Shen , Yasong Cao , Minjin Tang , Renyu Yang , Jiawei Fei , Chunyuan Zhang

There is currently a debate within the neuroscience community over the likelihood of the brain performing backpropagation (BP). To better mimic the brain, training a network \textit{one layer at a time} with only a "single forward pass" has…

Machine Learning · Statistics 2022-02-09 Chieh Wu , Aria Masoomi , Arthur Gretton , Jennifer Dy

Lateral inhibitory connections have been observed in the cortex of the biological brain, and has been extensively studied in terms of its role in cognitive functions. However, in the vanilla version of backpropagation in deep learning, all…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Lei Jiang , Yongqing Liu , Shihai Xiao , Yansong Chua

Very deep convolutional neural networks offer excellent recognition results, yet their computational expense limits their impact for many real-world applications. We introduce BlockDrop, an approach that learns to dynamically choose which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Zuxuan Wu , Tushar Nagarajan , Abhishek Kumar , Steven Rennie , Larry S. Davis , Kristen Grauman , Rogerio Feris

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

Neural and Evolutionary Computing · Computer Science 2009-11-18 Alejandro Chinea

The discovery of the backpropagation algorithm ranks among one of the most important moments in the history of machine learning, and has made possible the training of large-scale neural networks through its ability to compute gradients at…

Quantum Physics · Physics 2025-10-08 Joseph Bowles , David Wierichs , Chae-Yeun Park

Modern deep models are often pretrained on large-scale data with missing labels using composite objectives, where the relative weights of multiple loss terms act as hyperparameters. Tuning these weights with random search or Bayesian…

Machine Learning · Computer Science 2026-05-11 Ivan Karpukhin , Andrey Savchenko

The Backprop algorithm for learning in neural networks utilizes two mechanisms: first, stochastic gradient descent and second, initialization with small random weights, where the latter is essential to the effectiveness of the former. We…

Machine Learning · Computer Science 2022-05-06 Shibhansh Dohare , Richard S. Sutton , A. Rupam Mahmood

In this note we calculate the gradient of the network function in matrix notation.

Neural and Evolutionary Computing · Computer Science 2017-07-14 N. M. Mishachev

End-to-end backpropagation has a few shortcomings: it requires loading the entire model during training, which can be impossible in constrained settings, and suffers from three locking problems (forward locking, update locking and backward…

Machine Learning · Computer Science 2023-06-07 Skander Karkar , Ibrahim Ayed , Emmanuel de Bézenac , Patrick Gallinari

Supervised learning in deep neural networks is commonly performed using error backpropagation. However, the sequential propagation of errors during the backward pass limits its scalability and applicability to low-powered neuromorphic…

Machine Learning · Computer Science 2023-08-22 Florian Bacho , Dominique Chu

Relieving the reliance of neural network training on a global back-propagation (BP) has emerged as a notable research topic due to the biological implausibility and huge memory consumption caused by BP. Among the existing solutions, local…

Machine Learning · Computer Science 2024-06-11 Yibo Yang , Xiaojie Li , Motasem Alfarra , Hasan Hammoud , Adel Bibi , Philip Torr , Bernard Ghanem

Recent years have witnessed the outstanding success of deep learning in various fields such as vision and natural language processing. This success is largely indebted to the massive size of deep learning models that is expected to increase…

Machine Learning · Computer Science 2023-06-14 Ali Momeni , Babak Rahmani , Matthieu Mallejac , Philipp Del Hougne , Romain Fleury

This work proposes an algorithm for taking advantage of backpropagation gradients to determine feature importance at different stages of training. Additionally, we propose a way to represent the learning process qualitatively. Experiments…

Machine Learning · Computer Science 2020-12-08 Roberto Reyes-Ochoa , Servando Lopez-Aguayo