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Deep neural networks can be trained in reciprocal space, by acting on the eigenvalues and eigenvectors of suitable transfer operators in direct space. Adjusting the eigenvalues, while freezing the eigenvectors, yields a substantial…

Machine Learning · Computer Science 2021-12-08 Lorenzo Chicchi , Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti , Marco Ciavarella , Duccio Fanelli

This paper develops alternative hyperparameters for specifying sparse Recurrent Neural Networks (RNNs). These hyperparameters allow for varying sparsity within the trainable weight matrices of the model while improving overall performance.…

Machine Learning · Computer Science 2025-09-19 Quincy Hershey , Randy Paffenroth

In recent years, the attention mechanism contributes significantly to hypergraph based neural networks. However, these methods update the attention weights with the network propagating. That is to say, this type of attention mechanism is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Shuai Shao , Rui Xu , Yan-Jiang Wang , Weifeng Liu , Bao-Di Liu

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro

Recent advances in Dynamic Sparse Training (DST) have pushed the frontier of sparse neural network training in structured and unstructured contexts, matching dense-model performance while drastically reducing parameter counts to facilitate…

Machine Learning · Computer Science 2025-06-16 Abhishek Tyagi , Arjun Iyer , William H Renninger , Christopher Kanan , Yuhao Zhu

Dynamic Sparse Training (DST) methods achieve state-of-the-art results in sparse neural network training, matching the generalization of dense models while enabling sparse training and inference. Although the resulting models are highly…

Machine Learning · Computer Science 2024-02-23 Mike Lasby , Anna Golubeva , Utku Evci , Mihai Nica , Yani Ioannou

Despite being the cornerstone of deep learning, backpropagation is criticized for its inherent sequentiality, which can limit the scalability of very deep models. Such models faced convergence issues due to vanishing gradient, later…

Machine Learning · Computer Science 2025-04-01 Erwan Fagnou , Paul Caillon , Blaise Delattre , Alexandre Allauzen

This work presents a two-stage adaptive framework for progressively developing deep neural network (DNN) architectures that generalize well for a given training data set. In the first stage, a layerwise training approach is adopted where a…

Machine Learning · Computer Science 2024-09-24 C G Krishnanunni , Tan Bui-Thanh

Training a neural network (NN) typically relies on some type of curve-following method, such as gradient descent (GD) (and stochastic gradient descent (SGD)), ADADELTA, ADAM or limited memory algorithms. Convergence for these algorithms…

Machine Learning · Computer Science 2023-05-08 Michael A Kouritzin , Stephen Styles , Beatrice-Helen Vritsiou

When and how can an attention mechanism learn to selectively attend to informative tokens, thereby enabling detection of weak, rare, and sparsely located features? We address these questions theoretically in a sparse-token classification…

Machine Learning · Computer Science 2025-09-30 Nicholas Barnfield , Hugo Cui , Yue M. Lu

How can neural networks trained by contrastive learning extract features from the unlabeled data? Why does contrastive learning usually need much stronger data augmentations than supervised learning to ensure good representations? These…

Machine Learning · Computer Science 2021-07-06 Zixin Wen , Yuanzhi Li

We propose SparseContrast, a new framework that merges dynamic sparse attention with contrastive learning for medical imaging, with a focus on chest X-ray disease detection in low-data settings. Traditional contrastive learning methods rely…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Paarth Prasad , Ruchika Malhotra

This paper presents a novel projection-based adaptive algorithm for sparse signal and system identification. The sequentially observed data are used to generate an equivalent sequence of closed convex sets, namely hyperslabs. Each hyperslab…

Information Theory · Computer Science 2015-10-28 Yannis Kopsinis , Konstantinos Slavakis , Sergios Theodoridis

The back-propagation algorithm is the cornerstone of deep learning. Despite its importance, few variations of the algorithm have been attempted. This work presents an approach to discover new variations of the back-propagation equation. We…

Neural and Evolutionary Computing · Computer Science 2018-08-09 Maximilian Alber , Irwan Bello , Barret Zoph , Pieter-Jan Kindermans , Prajit Ramachandran , Quoc Le

Structured sparsity accelerates training and inference on modern GPUs, yet it still trails unstructured dynamic sparse training (DST) in accuracy. The shortfall stems from a loss of expressivity: whereas a dense layer can realize every…

Machine Learning · Computer Science 2025-10-17 Abhishek Tyagi , Arjun Iyer , Liam Young , William H Renninger , Christopher Kanan , Yuhao Zhu

That neural networks may be pruned to high sparsities and retain high accuracy is well established. Recent research efforts focus on pruning immediately after initialization so as to allow the computational savings afforded by sparsity to…

Machine Learning · Computer Science 2022-01-28 Ilan Price , Jared Tanner

Effectively scaling up deep reinforcement learning models has proven notoriously difficult due to network pathologies during training, motivating various targeted interventions such as periodic reset and architectural advances such as layer…

Machine Learning · Computer Science 2025-06-23 Guozheng Ma , Lu Li , Zilin Wang , Li Shen , Pierre-Luc Bacon , Dacheng Tao

We propose a new approach for metric learning by framing it as learning a sparse combination of locally discriminative metrics that are inexpensive to generate from the training data. This flexible framework allows us to naturally derive…

Machine Learning · Computer Science 2019-01-25 Yuan Shi , Aurélien Bellet , Fei Sha

Many modern big data applications feature large scale in both numbers of responses and predictors. Better statistical efficiency and scientific insights can be enabled by understanding the large-scale response-predictor association network…

Methodology · Statistics 2017-04-28 Yoshimasa Uematsu , Yingying Fan , Kun Chen , Jinchi Lv , Wei Lin

Many applications in machine learning or signal processing involve nonsmooth optimization problems. This nonsmoothness brings a low-dimensional structure to the optimal solutions. In this paper, we propose a randomized proximal gradient…

Optimization and Control · Mathematics 2020-04-29 Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick