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Light field microscopy (LFM) has been widely utilized in various fields for its capability to efficiently capture high-resolution 3D scenes. Despite the rapid advancements in neural representations, there are few methods specifically…

Image and Video Processing · Electrical Eng. & Systems 2024-09-30 Jiayin Zhao , Zhifeng Zhao , Jiamin Wu , Tao Yu , Hui Qiao

Physics-informed neural networks (PINNs) were recently proposed in [1] as an alternative way to solve partial differential equations (PDEs). A neural network (NN) represents the solution while a PDE-induced NN is coupled to the solution NN,…

Computational Physics · Physics 2019-10-22 Xiaoli Chen , Jinqiao Duan , George Em Karniadakis

Recent advances in deep neural networks (DNNs) owe their success to training algorithms that use backpropagation and gradient-descent. Backpropagation, while highly effective on von Neumann architectures, becomes inefficient when scaling to…

Neural and Evolutionary Computing · Computer Science 2019-05-10 Brian Crafton , Abhinav Parihar , Evan Gebhardt , Arijit Raychowdhury

Spiking Neural Networks (SNNs) are promising energy-efficient models for neuromorphic computing. For training the non-differentiable SNN models, the backpropagation through time (BPTT) with surrogate gradients (SG) method has achieved high…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Qingyan Meng , Mingqing Xiao , Shen Yan , Yisen Wang , Zhouchen Lin , Zhi-Quan Luo

Deep Neural Networks are successful but highly computationally expensive learning systems. One of the main sources of time and energy drains is the well known backpropagation (backprop) algorithm, which roughly accounts for 2/3 of the…

Machine Learning · Computer Science 2020-04-17 Simon Wiedemann , Temesgen Mehari , Kevin Kepp , Wojciech Samek

The spiking neural network (SNN) mimics the information processing operation in the human brain, represents and transmits information in spike trains containing wealthy spatial and temporal information, and shows superior performance on…

Neural and Evolutionary Computing · Computer Science 2021-10-25 Guobin Shen , Dongcheng Zhao , Yi Zeng

Recurrent Spiking Neural Networks (RSNNs) have emerged as a computationally efficient and brain-inspired learning model. The design of sparse RSNNs with fewer neurons and synapses helps reduce the computational complexity of RSNNs.…

Neural and Evolutionary Computing · Computer Science 2024-03-07 Biswadeep Chakraborty , Beomseok Kang , Harshit Kumar , Saibal Mukhopadhyay

Many transformations in deep learning architectures are sparsely connected. When such transformations cannot be designed by hand, they can be learned, even through plain backpropagation, for instance in attention mechanisms. However, during…

Machine Learning · Statistics 2018-10-23 Peter Bloem

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Convolution neural networks (CNNs) have achieved remarkable success, but typically accompany high computation cost and numerous redundant weight parameters. To reduce the FLOPs, structure pruning is a popular approach to remove the entire…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Bo Ji , Tianyi Chen

Compared with artificial neural networks (ANNs), spiking neural networks (SNNs) are promising to explore the brain-like behaviors since the spikes could encode more spatio-temporal information. Although pre-training from ANN or direct…

Neural and Evolutionary Computing · Computer Science 2018-09-18 Yujie Wu , Lei Deng , Guoqi Li , Jun Zhu , Luping Shi

Deep neural networks are powerful parametric models that can be trained efficiently using the backpropagation algorithm. Stochastic neural networks combine the power of large parametric functions with that of graphical models, which makes…

Machine Learning · Computer Science 2016-02-26 Shixiang Gu , Sergey Levine , Ilya Sutskever , Andriy Mnih

Physics-informed neural networks (PINNs) have been widely used to develop neural surrogates for solutions of Partial Differential Equations. A drawback of PINNs is that they have to be retrained with every change in initial-boundary…

Machine Learning · Computer Science 2023-08-21 Ritam Majumdar , Vishal Jadhav , Anirudh Deodhar , Shirish Karande , Lovekesh Vig , Venkataramana Runkana

Spiking neural networks combine analog computation with event-based communication using discrete spikes. While the impressive advances of deep learning are enabled by training non-spiking artificial neural networks using the backpropagation…

Neurons and Cognition · Quantitative Biology 2021-06-22 Timo C. Wunderlich , Christian Pehle

We demonstrate the possibility of what we call sparse learning: accelerated training of deep neural networks that maintain sparse weights throughout training while achieving dense performance levels. We accomplish this by developing sparse…

Machine Learning · Computer Science 2019-08-27 Tim Dettmers , Luke Zettlemoyer

We propose a novel machine learning algorithm for simulating radiative transfer. Our algorithm is based on physics informed neural networks (PINNs), which are trained by minimizing the residual of the underlying radiative tranfer equations.…

Machine Learning · Computer Science 2023-12-07 Siddhartha Mishra , Roberto Molinaro

Neuromorphic computing aims to replicate the brain's capabilities for energy efficient and parallel information processing, promising a solution to the increasing demand for faster and more efficient computational systems. Efficient…

Neural and Evolutionary Computing · Computer Science 2025-03-20 Gabriel Béna , Timo Wunderlich , Mahmoud Akl , Bernhard Vogginger , Christian Mayr , Hector Andres Gonzalez

Structured prediction requires searching over a combinatorial number of structures. To tackle it, we introduce SparseMAP: a new method for sparse structured inference, and its natural loss function. SparseMAP automatically selects only a…

Machine Learning · Statistics 2018-06-21 Vlad Niculae , André F. T. Martins , Mathieu Blondel , Claire Cardie

Image reconstruction is an inverse problem that solves for a computational image based on sampled sensor measurement. Sparsely sampled image reconstruction poses addition challenges due to limited measurements. In this work, we propose an…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Liyue Shen , John Pauly , Lei Xing

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve