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Large neural networks are very successful in various tasks. However, with limited data, the generalization capabilities of deep neural networks are also very limited. In this paper, we empirically start showing that intrinsically sparse…

Neural and Evolutionary Computing · Computer Science 2019-06-28 Shiwei Liu , Decebal Constantin Mocanu , Mykola Pechenizkiy

In this study, the problem of computing a sparse representation of multi-dimensional visual data is considered. In general, such data e.g., hyperspectral images, color images or video data consists of signals that exhibit strong local…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

We present a dimension-incremental method for function approximation in bounded orthonormal product bases to learn the solutions of various differential equations. Therefore, we decompose the source function of the differential equation…

Numerical Analysis · Mathematics 2025-05-20 Daniel Potts , Fabian Taubert

Sparsity-based models and techniques have been exploited in many signal processing and imaging applications. Data-driven methods based on dictionary and sparsifying transform learning enable learning rich image features from data, and can…

Machine Learning · Computer Science 2019-09-25 Saiprasad Ravishankar , Anna Ma , Deanna Needell

The concept of sparsity has been extensively applied for regularization in image reconstruction. Typically, sparsifying transforms are either pre-trained on ground-truth images or adaptively trained during the reconstruction. Thereby,…

Image and Video Processing · Electrical Eng. & Systems 2022-03-07 Andreas Kofler , Christian Wald , Tobias Schaeffter , Markus Haltmeier , Christoph Kolbitsch

Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint…

Machine Learning · Statistics 2017-02-07 Adrian Barbu , Yiyuan She , Liangjing Ding , Gary Gramajo

We study the emergence of sparse representations in neural networks. We show that in unsupervised models with regularization, the emergence of sparsity is the result of the input data samples being distributed along highly non-linear or…

Machine Learning · Computer Science 2019-03-08 Vivek Bakaraju , Kishore Reddy Konda

Neuroevolution is a promising area of research that combines evolutionary algorithms with neural networks. A popular subclass of neuroevolutionary methods, called evolution strategies, relies on dense noise perturbations to mutate networks,…

Neural and Evolutionary Computing · Computer Science 2023-02-14 Tim Whitaker , Darrell Whitley

Deep neural networks often suffer from poor generalization caused by complex and non-convex loss landscapes. One of the popular solutions is Sharpness-Aware Minimization (SAM), which smooths the loss landscape via minimizing the maximized…

Machine Learning · Computer Science 2022-10-25 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Xiaoshuai Sun , Rongrong Ji , Dacheng Tao

In recent years we see a rapidly growing line of research which shows learnability of various models via common neural network algorithms. Yet, besides a very few outliers, these results show learnability of models that can be learned using…

Machine Learning · Computer Science 2020-07-06 Amit Daniely , Eran Malach

Random feature methods have been successful in various machine learning tasks, are easy to compute, and come with theoretical accuracy bounds. They serve as an alternative approach to standard neural networks since they can represent…

Machine Learning · Statistics 2026-01-21 Abolfazl Hashemi , Hayden Schaeffer , Robert Shi , Ufuk Topcu , Giang Tran , Rachel Ward

The demand for efficient processing of deep neural networks (DNNs) on embedded devices is a significant challenge limiting their deployment. Exploiting sparsity in the network's feature maps is one of the ways to reduce its inference…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Matteo Grimaldi , Darshan C. Ganji , Ivan Lazarevich , Sudhakar Sah

Deep neural networks are widely used in various domains. However, the nature of computations at each layer of the deep networks is far from being well understood. Increasing the interpretability of deep neural networks is thus important.…

Machine Learning · Computer Science 2018-12-19 Haiping Huang

In scanning microscopy based imaging techniques, there is a need to develop novel data acquisition schemes that can reduce the time for data acquisition and minimize sample exposure to the probing radiation. Sparse sampling schemes are…

Signal Processing · Electrical Eng. & Systems 2018-03-09 Yan Zhang , G. M. Dilshan Godaliyadda , Nicola Ferrier , Emine B. Gulsoy , Charles A. Bouman , Charudatta Phatak

We propose a reconfigurable hardware architecture for deep neural networks (DNNs) capable of online training and inference, which uses algorithmically pre-determined, structured sparsity to significantly lower memory and computational…

Neural and Evolutionary Computing · Computer Science 2017-11-07 Sourya Dey , Yinan Shao , Keith M. Chugg , Peter A. Beerel

Neural network forms the foundation of deep learning and numerous AI applications. Classical neural networks are fully connected, expensive to train and prone to overfitting. Sparse networks tend to have convoluted structure search,…

Machine Learning · Computer Science 2020-12-03 Weijun Luo

Dropout is commonly used to help reduce overfitting in deep neural networks. Sparsity is a potentially important property of neural networks, but is not explicitly controlled by Dropout-based regularization. In this work, we propose…

Machine Learning · Computer Science 2019-04-18 Najeeb Khan , Ian Stavness

Weight pruning has been widely acknowledged as a straightforward and effective method to eliminate redundancy in Deep Neural Networks (DNN), thereby achieving acceleration on various platforms. However, most of the pruning techniques are…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Xiaolong Ma , Wei Niu , Tianyun Zhang , Sijia Liu , Sheng Lin , Hongjia Li , Xiang Chen , Jian Tang , Kaisheng Ma , Bin Ren , Yanzhi Wang

Sequential learning paradigms pose challenges for gradient-based deep learning due to difficulties incorporating new data and retaining prior knowledge. While Gaussian processes elegantly tackle these problems, they struggle with…

Machine Learning · Statistics 2024-03-19 Aidan Scannell , Riccardo Mereu , Paul Chang , Ella Tamir , Joni Pajarinen , Arno Solin