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Graph neural networks are widely used tools for graph prediction tasks. Motivated by their empirical performance, prior works have developed generalization bounds for graph neural networks, which scale with graph structures in terms of the…

Machine Learning · Computer Science 2023-10-25 Haotian Ju , Dongyue Li , Aneesh Sharma , Hongyang R. Zhang

It is widely acknowledged that large and sparse models have higher accuracy than small and dense models under the same model size constraints. This motivates us to train a large model and then remove its redundant neurons or weights by…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Jianwei Li , Weizhi Gao , Qi Lei , Dongkuan Xu

Obtaining versions of deep neural networks that are both highly-accurate and highly-sparse is one of the main challenges in the area of model compression, and several high-performance pruning techniques have been investigated by the…

Machine Learning · Computer Science 2023-09-11 Denis Kuznedelev , Eldar Kurtic , Eugenia Iofinova , Elias Frantar , Alexandra Peste , Dan Alistarh

Sparsity-constrained optimization is an important and challenging problem that has wide applicability in data mining, machine learning, and statistics. In this paper, we focus on sparsity-constrained optimization in cases where the cost…

Machine Learning · Computer Science 2016-12-19 Feng Chen , Baojian Zhou

Deploying deep neural networks (DNNs) on edge devices requires strong compression with minimal accuracy loss. This paper introduces Mix-and-Match Pruning, a globally guided, layer-wise sparsification framework that leverages sensitivity…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Danial Monachan , Samira Nazari , Mahdi Taheri , Ali Azarpeyvand , Milos Krstic , Michael Huebner , Christian Herglotz

In recent years, deep network pruning has attracted significant attention in order to enable the rapid deployment of AI into small devices with computation and memory constraints. Pruning is often achieved by dropping redundant weights,…

Machine Learning · Computer Science 2023-08-24 Enmao Diao , Ganghua Wang , Jiawei Zhan , Yuhong Yang , Jie Ding , Vahid Tarokh

Long training times of deep neural networks are a bottleneck in machine learning research. The major impediment to fast training is the quadratic growth of both memory and compute requirements of dense and convolutional layers with respect…

Machine Learning · Computer Science 2020-02-20 Mihailo Isakov , Michel A. Kinsy

Deep neural networks achieve state-of-the-art results on several tasks while increasing in complexity. It has been shown that neural networks can be pruned during training by imposing sparsity inducing regularizers. In this paper, we…

Machine Learning · Statistics 2019-08-12 Chaithanya Kumar Mummadi , Tim Genewein , Dan Zhang , Thomas Brox , Volker Fischer

We present a novel set of rigorous and computationally efficient topology-based complexity notions that exhibit a strong correlation with the generalization gap in modern deep neural networks (DNNs). DNNs show remarkable generalization…

Machine Learning · Computer Science 2024-12-17 Rayna Andreeva , Benjamin Dupuis , Rik Sarkar , Tolga Birdal , Umut Şimşekli

Graph limit models, like graphons for limits of dense graphs, have recently been used to study size transferability of graph neural networks (GNNs). While most literature focuses on message passing GNNs (MPNNs), in this work we attend to…

Machine Learning · Computer Science 2025-05-20 Daniel Herbst , Stefanie Jegelka

Post-training dropout based approaches achieve high sparsity and are well established means of deciphering problems relating to computational cost and overfitting in Neural Network architectures. Contrastingly, pruning at initialization is…

Neural and Evolutionary Computing · Computer Science 2022-09-07 Maham Haroon

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

Machine Learning · Computer Science 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

Machine Learning · Computer Science 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

The limit of infinite width allows for substantial simplifications in the analytical study of over-parameterised neural networks. With a suitable random initialisation, an extremely large network exhibits an approximately Gaussian…

Machine Learning · Statistics 2023-02-14 Eugenio Clerico , George Deligiannidis , Arnaud Doucet

Large-scale networked systems typically operate under resource constraints, and it is also difficult to exactly obtain the network structure between nodes. To address these issues, this paper investigates a sparse optimal control for…

Optimization and Control · Mathematics 2025-07-25 Takuya Ikeda , Masaaki Nagahara

Pruning the weights of neural networks is an effective and widely-used technique for reducing model size and inference complexity. We develop and test a novel method based on compressed sensing which combines the pruning and training into a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Jonathan W. Siegel , Jianhong Chen , Pengchuan Zhang , Jinchao Xu

Deep neural networks are strongly over-parameterized, often containing far more weights than required for their task. Although such redundancy can aid optimization, it leads to inefficient deployment and high computational cost, motivating…

Disordered Systems and Neural Networks · Physics 2026-02-18 Diego Pesce , Yang-Hui He , Guido Caldarelli

We propose an entirely new meta-learning framework for network pruning. It is a general framework that can be theoretically applied to almost all types of networks with all kinds of pruning and has great generality and transferability.…

Machine Learning · Computer Science 2025-12-16 Yewei Liu , Xiyuan Wang , Muhan Zhang

Explainability is a key component in many applications involving deep neural networks (DNNs). However, current explanation methods for DNNs commonly leave it to the human observer to distinguish relevant explanations from spurious noise.…

Machine Learning · Computer Science 2025-10-22 Paulo Yanez Sarmiento , Simon Witzke , Nadja Klein , Bernhard Y. Renard

Weight pruning is an effective technique to reduce the model size and inference time for deep neural networks in real-world deployments. However, since magnitudes and relative importance of weights are very different for different layers of…

Machine Learning · Computer Science 2021-05-05 Xiao Zhou , Weizhong Zhang , Hang Xu , Tong Zhang
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