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Expansion property of a graph refers to its strong connectivity as well as sparseness. It has been reported that deep neural networks can be pruned to a high degree of sparsity while maintaining their performance. Such pruning is essential…

Machine Learning · Computer Science 2024-03-19 Suryam Arnav Kalra , Arindam Biswas , Pabitra Mitra , Biswajit Basu

In this article, we show that the algorithm of maintaining expander decompositions in graphs undergoing edge deletions directly by removing sparse cuts repeatedly can be made efficient. Formally, for an $m$-edge undirected graph $G$, we say…

Data Structures and Algorithms · Computer Science 2023-01-24 Yiding Hua , Rasmus Kyng , Maximilian Probst Gutenberg , Zihang Wu

Graph separation is a central tool in parameterized algorithm design, and important separators are among its most successful ingredients. They yield small, structured families of separators that can be enumerated efficiently, and underlie…

Data Structures and Algorithms · Computer Science 2026-04-28 Batya Kenig

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe

Effectively preserving both the structural and dynamical properties during the reduction of complex networks remains a significant research topic. Existing network reduction methods based on renormalization group or sampling often face…

Social and Information Networks · Computer Science 2025-07-15 Dan Chen , Housheng Su , Yong Wang , Jie Liu

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

It is common to encounter situations where one must solve a sequence of similar computational problems. Running a standard algorithm with worst-case runtime guarantees on each instance will fail to take advantage of valuable structure…

Machine Learning · Computer Science 2019-04-29 Daniel Alabi , Adam Tauman Kalai , Katrina Ligett , Cameron Musco , Christos Tzamos , Ellen Vitercik

Deep learning algorithms are increasingly employed at the edge. However, edge devices are resource constrained and thus require efficient deployment of deep neural networks. Pruning methods are a key tool for edge deployment as they can…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Yunqiang Li , Jan C. van Gemert , Torsten Hoefler , Bert Moons , Evangelos Eleftheriou , Bram-Ernst Verhoef

Expander decompositions of graphs have significantly advanced the understanding of many classical graph problems and led to numerous fundamental theoretical results. However, their adoption in practice has been hindered due to their…

Data Structures and Algorithms · Computer Science 2026-04-27 Kathrin Hanauer , Monika Henzinger , Robin Münk , Harald Räcke , Maximilian Vötsch

Lifelong SLAM considers long-term operation of a robot where already mapped locations are revisited many times in changing environments. As a result, traditional graph-based SLAM approaches eventually become extremely slow due to the…

Robotics · Computer Science 2021-10-05 Gerhard Kurz , Matthias Holoch , Peter Biber

A $t$-spanner of an undirected $n$-vertex graph $G$ is a sparse subgraph $H$ of $G$ that preserves all pairwise distances between its vertices to within multiplicative factor $t$, also called the \emph{stretch}. We investigate the problem…

Data Structures and Algorithms · Computer Science 2026-01-29 Julia Chuzhoy , Merav Parter

We study the problem of graph clustering where the goal is to partition a graph into clusters, i.e. disjoint subsets of vertices, such that each cluster is well connected internally while sparsely connected to the rest of the graph. In…

Data Structures and Algorithms · Computer Science 2021-12-17 Thatchaphol Saranurak , Di Wang

Real time application of deep learning algorithms is often hindered by high computational complexity and frequent memory accesses. Network pruning is a promising technique to solve this problem. However, pruning usually results in irregular…

Neural and Evolutionary Computing · Computer Science 2015-12-31 Sajid Anwar , Kyuyeon Hwang , Wonyong Sung

Expander graphs are known to be robust to edge deletions in the following sense: for any online sequence of edge deletions $e_1, e_2, \ldots, e_k$ to an $m$-edge graph $G$ that is initially a $\phi$-expander, the algorithm can grow a set $P…

Data Structures and Algorithms · Computer Science 2025-04-02 Simon Meierhans , Maximilian Probst Gutenberg , Thatchaphol Saranurak

Standard deep-learning pipelines usually choose the network architecture before training and keep it fixed throughout optimization. In contrast, a model can also be adapted by editing its structure during training, for example by pruning…

Machine Learning · Computer Science 2026-05-18 Lute Lillo , Nick Cheney

In this paper, we present new incremental algorithms for maintaining data structures that represent all connectivity cuts of size one in directed graphs (digraphs), and the strongly connected components that result by the removal of each of…

Data Structures and Algorithms · Computer Science 2018-03-01 Loukas Georgiadis , Giuseppe F. Italiano , Nikos Parotsidis

In this paper we study the problem of dynamically maintaining graph properties under batches of edge insertions and deletions in the massively parallel model of computation. In this setting, the graph is stored on a number of machines, each…

Data Structures and Algorithms · Computer Science 2019-08-07 David Durfee , Laxman Dhulipala , Janardhan Kulkarni , Richard Peng , Saurabh Sawlani , Xiaorui Sun

Structural pruning enables model acceleration by removing structurally-grouped parameters from neural networks. However, the parameter-grouping patterns vary widely across different models, making architecture-specific pruners, which rely…

Artificial Intelligence · Computer Science 2023-03-24 Gongfan Fang , Xinyin Ma , Mingli Song , Michael Bi Mi , Xinchao Wang

Magnitude pruning is one of the mainstream methods in lightweight architecture design whose goal is to extract subnetworks with the largest weight connections. This method is known to be successful, but under very high pruning regimes, it…

Computer Vision and Pattern Recognition · Computer Science 2023-07-03 Hichem Sahbi

This work addresses the challenge of using a deep learning model to prune graphs and the ability of this method to integrate explainability into spatio-temporal problems through a new approach. Instead of applying explainability to the…

Machine Learning · Computer Science 2025-10-14 Javier García-Sigüenza , Mirco Nanni , Faraón Llorens-Largo , José F. Vicent
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