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Related papers: RicciNets: Curvature-guided Pruning of High-perfor…

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Randomly Wired Neural Networks (RWNNs) serve as a valuable testbed for investigating the impact of network topology in deep learning by capturing how different connectivity patterns impact both learning efficiency and model performance. At…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Pavithra Elumalai , Sudharsan Vijayaraghavan , Madhumita Mondal , Areejit Samal

This paper presents a new look at the neural network (NN) robustness problem, from the point of view of graph theory analysis, specifically graph curvature. Graph curvature (e.g., Ricci curvature) has been used to analyze system dynamics…

Machine Learning · Computer Science 2024-12-17 Shuhang Tan , Jayson Sia , Paul Bogdan , Radoslav Ivanov

Lightweight model design has become an important direction in the application of deep learning technology, pruning is an effective mean to achieve a large reduction in model parameters and FLOPs. The existing neural network pruning methods…

Machine Learning · Computer Science 2021-11-19 Zhuangzhi Chen , Jingyang Xiang , Yao Lu , Qi Xuan , Xiaoniu Yang

Graph Ricci curvature is crucial as it geometrically quantifies network structure. It pinpoints bottlenecks via negative curvature, identifies cohesive communities with positive curvature, and highlights robust hubs. This guides network…

Analysis of PDEs · Mathematics 2026-04-03 Juan Zhao , Jicheng Ma , Yunyan Yang , Liang Zhao

Network pruning reduces the size of neural networks by removing (pruning) neurons such that the performance drop is minimal. Traditional pruning approaches focus on designing metrics to quantify the usefulness of a neuron which is often…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Shehryar Malik , Muhammad Umair Haider , Omer Iqbal , Murtaza Taj

Ricci curvature and Ricci flow have proven to be powerful tools for analyzing the geometry of discrete structures, particularly on undirected graphs, where they have been applied to tasks ranging from community detection to graph…

Differential Geometry · Mathematics 2025-09-25 Shuliang Bai , Rui Li , Shuang Liu , Xin Lai

Ricci curvature and its associated flow offer powerful geometric methods for analyzing complex networks. While existing research heavily focuses on applications for undirected graphs such as community detection and core extraction, there…

Social and Information Networks · Computer Science 2025-12-12 Juan Zhao , Jicheng Ma , Yunyan Yang , Liang Zhao

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

Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge…

Social and Information Networks · Computer Science 2025-11-13 Arsenii Onuchin , Konstantin Sorokin , Maxim Beketov , Liubov Tupikina

Network compression is crucial to making the deep networks to be more efficient, faster, and generalizable to low-end hardware. Current network compression methods have two open problems: first, there lacks a theoretical framework to…

Machine Learning · Computer Science 2022-06-09 Ziqi Zhou , Li Lian , Yilong Yin , Ze Wang

This paper presents a novel approach to neural network pruning by integrating a graph-based observation space into an AutoML framework to address the limitations of existing methods. Traditional pruning approaches often depend on…

Machine Learning · Computer Science 2025-09-16 Dieter Balemans , Thomas Huybrechts , Jan Steckel , Siegfried Mercelis

We introduce a pruning algorithm that provably sparsifies the parameters of a trained model in a way that approximately preserves the model's predictive accuracy. Our algorithm uses a small batch of input points to construct a data-informed…

Machine Learning · Computer Science 2021-03-16 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Motivated by the methods and results of manifold sampling based on Ricci curvature, we propose a similar approach for networks. To this end we make appeal to three types of discrete curvature, namely the graph Forman-, full Forman- and…

Differential Geometry · Mathematics 2021-03-05 Vladislav Barkanass , Jürgen Jost , Emil Saucan

Recently there has been a lot of work on pruning filters from deep convolutional neural networks (CNNs) with the intention of reducing computations. The key idea is to rank the filters based on a certain criterion (say, $l_1$-norm, average…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Deepak Mittal , Shweta Bhardwaj , Mitesh M. Khapra , Balaraman Ravindran

Graph neural network (GNN) has been demonstrated powerful in modeling graph-structured data. However, despite many successful cases of applying GNNs to various graph classification and prediction tasks, whether the graph geometrical…

Machine Learning · Computer Science 2023-07-20 Dai Shi , Yi Guo , Zhiqi Shao , Junbin Gao

This paper provides a fresh view of the neural network (NN) data flow problem, i.e., identifying the NN connections that are most important for the performance of the full model, through the lens of graph theory. Understanding the NN data…

Machine Learning · Computer Science 2026-01-26 Shuhang Tan , Jayson Sia , Paul Bogdan , Radoslav Ivanov

Neural network pruning is an essential approach for reducing the computational complexity of deep models so that they can be well deployed on resource-limited devices. Compared with conventional methods, the recently developed dynamic…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Yehui Tang , Yunhe Wang , Yixing Xu , Yiping Deng , Chao Xu , Dacheng Tao , Chang Xu

Neural network pruning is a popular technique used to reduce the inference costs of modern, potentially overparameterized, networks. Starting from a pre-trained network, the process is as follows: remove redundant parameters, retrain, and…

Machine Learning · Computer Science 2021-03-05 Lucas Liebenwein , Cenk Baykal , Brandon Carter , David Gifford , Daniela Rus

We present a provable, sampling-based approach for generating compact Convolutional Neural Networks (CNNs) by identifying and removing redundant filters from an over-parameterized network. Our algorithm uses a small batch of input data…

Machine Learning · Computer Science 2020-03-24 Lucas Liebenwein , Cenk Baykal , Harry Lang , Dan Feldman , Daniela Rus

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
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