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Motivated by both theory and practice, we study how random pruning of the weights affects a neural network's neural tangent kernel (NTK). In particular, this work establishes an equivalence of the NTKs between a fully-connected neural…

Machine Learning · Computer Science 2023-03-21 Hongru Yang , Zhangyang Wang

Recent advances in neural network pruning have shown how it is possible to reduce the computational costs and memory demands of deep learning models before training. We focus on this framework and propose a new pruning at initialization…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Leonardo Iurada , Marco Ciccone , Tatiana Tommasi

In multi-objective optimization, multiple loss terms are weighted and added together to form a single objective. These weights are chosen to properly balance the competing losses according to some meta-goal. For example, in physics-informed…

Numerical Analysis · Mathematics 2025-11-20 Max Hirsch , Federico Pichi

Pruning on neural networks before training not only compresses the original models, but also accelerates the network training phase, which has substantial application value. The current work focuses on fine-grained pruning, which uses…

Machine Learning · Computer Science 2022-09-28 Xiatao Kang , Ping Li , Jiayi Yao , Chengxi Li

As deep neural networks are growing in size and being increasingly deployed to more resource-limited devices, there has been a recent surge of interest in network pruning methods, which aim to remove less important weights or activations of…

Machine Learning · Computer Science 2020-06-23 Minyoung Song , Jaehong Yoon , Eunho Yang , Sung Ju Hwang

Pruning large neural networks while maintaining their performance is often desirable due to the reduced space and time complexity. In existing methods, pruning is done within an iterative optimization procedure with either heuristically…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Namhoon Lee , Thalaiyasingam Ajanthan , Philip H. S. Torr

Recent works have examined theoretical and empirical properties of wide neural networks trained in the Neural Tangent Kernel (NTK) regime. Given that biological neural networks are much wider than their artificial counterparts, we consider…

Machine Learning · Computer Science 2022-07-14 Akhilan Boopathy , Ila Fiete

Pruning before training enables the deployment of neural networks on smart devices. By retaining weights conducive to generalization, pruned networks can be accommodated on resource-constrained smart devices. It is commonly held that the…

Machine Learning · Computer Science 2025-09-16 Jinying Xiao , Ping Li , Zhe Tang , Jie Nie

Neural networks are easier to optimise when they have many more weights than are required for modelling the mapping from inputs to outputs. This suggests a two-stage learning procedure that first learns a large net and then prunes away…

Machine Learning · Computer Science 2019-09-10 Aidan N. Gomez , Ivan Zhang , Siddhartha Rao Kamalakara , Divyam Madaan , Kevin Swersky , Yarin Gal , Geoffrey E. Hinton

Network pruning is a promising avenue for compressing deep neural networks. A typical approach to pruning starts by training a model and then removing redundant parameters while minimizing the impact on what is learned. Alternatively, a…

Machine Learning · Computer Science 2020-02-18 Namhoon Lee , Thalaiyasingam Ajanthan , Stephen Gould , Philip H. S. Torr

It is well understood that neural networks with carefully hand-picked weights provide powerful function approximation and that they can be successfully trained in over-parametrized regimes. Since over-parametrization ensures zero training…

Machine Learning · Computer Science 2024-05-21 G. Welper

Adapting pre-trained neural models to downstream tasks has become the standard practice for obtaining high-quality models. In this work, we propose a novel model adaptation paradigm, adapting by pruning, which prunes neural connections in…

Machine Learning · Computer Science 2021-05-10 Yang Gao , Nicolo Colombo , Wei Wang

Transformer-based pre-trained language models have significantly improved the performance of various natural language processing (NLP) tasks in the recent years. While effective and prevalent, these models are usually prohibitively large…

Computation and Language · Computer Science 2022-01-19 Dongkuan Xu , Ian E. H. Yen , Jinxi Zhao , Zhibin Xiao

The Neural Tangent Kernel (NTK) has recently attracted intense study, as it describes the evolution of an over-parameterized Neural Network (NN) trained by gradient descent. However, it is now well-known that gradient descent is not always…

Machine Learning · Computer Science 2021-03-23 Lei Tan , Shutong Wu , Xiaolin Huang

The Neural Tangent Kernel (NTK) framework explains optimization in over-parameterized neural networks via approximately linearized dynamics, yielding exponential convergence guarantees. However, existing results are often overly pessimistic…

Machine Learning · Computer Science 2026-05-26 Ruchirinkil Marreddy , Chaoyue Liu

Recent advancements have scaled neural networks to unprecedented sizes, achieving remarkable performance across a wide range of tasks. However, deploying these large-scale models on resource-constrained devices poses significant challenges…

Machine Learning · Computer Science 2024-10-22 Mostafa Hussien , Mahmoud Afifi , Kim Khoa Nguyen , Mohamed Cheriet

Many fundamental properties of a quantum system are captured by its Hamiltonian and ground state. Despite the significance of ground states preparation (GSP), this task is classically intractable for large-scale Hamiltonians. Quantum neural…

Quantum Physics · Physics 2023-04-11 Xinbiao Wang , Junyu Liu , Tongliang Liu , Yong Luo , Yuxuan Du , Dacheng Tao

With the introduction of SNIP [arXiv:1810.02340v2], it has been demonstrated that modern neural networks can effectively be pruned before training. Yet, its sensitivity criterion has since been criticized for not propagating training signal…

Machine Learning · Computer Science 2020-06-16 Stijn Verdenius , Maarten Stol , Patrick Forré

Neural networks have achieved remarkable performance in various application domains. Nevertheless, a large number of weights in pre-trained deep neural networks prohibit them from being deployed on smartphones and embedded systems. It is…

Machine Learning · Computer Science 2023-07-19 Shibo Yao , Dantong Yu , Ioannis Koutis

Recent theoretical works based on the neural tangent kernel (NTK) have shed light on the optimization and generalization of over-parameterized networks, and partially bridge the gap between their practical success and classical learning…

Machine Learning · Computer Science 2020-08-10 Kyung-Su Kim , Aurélie C. Lozano , Eunho Yang
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