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Graphs are widely used to model complicated data semantics in many application domains. In this paper, two novel and efficient algorithms Fast-ON and Fast-P are proposed for solving the subgraph isomorphism problem. The two algorithms are…

Data Structures and Algorithms · Computer Science 2019-04-19 Mosab Hassaan , Karam Gouda

Graph datasets with billions of edges, such as social and Web graphs, are prevalent, and scalable computation is critical. All-distances sketches (ADS) [Cohen 1997], are a powerful tool for scalable approximation of statistics. The sketch…

Data Structures and Algorithms · Computer Science 2015-01-20 Edith Cohen

We propose a fast approximate algorithm for large graph matching. A new projected fixed-point method is defined and a new doubly stochastic projection is adopted to derive the algorithm. Previous graph matching algorithms suffer from high…

Computer Vision and Pattern Recognition · Computer Science 2012-08-13 Yao Lu , Kaizhu Huang , Cheng-Lin Liu

The subset sum problem is known to be an NP-hard problem in the field of computer science with the fastest known approach having a run-time complexity of $O(2^{0.3113n})$. A modified version of this problem is known as the perfect sum…

Data Structures and Algorithms · Computer Science 2022-11-29 Kristof Pusztai

Given a labeled graph, the frequent-subgraph mining (FSM) problem asks to find all the $k$-vertex subgraphs that appear with frequency greater than a given threshold. FSM has numerous applications ranging from biology to network science, as…

Data Structures and Algorithms · Computer Science 2018-09-11 Cigdem Aslay , Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Aristides Gionis

The Jaccard index is an important similarity measure for item sets and Boolean data. On large datasets, an exact similarity computation is often infeasible for all item pairs both due to time and space constraints, giving rise to faster…

Data Structures and Algorithms · Computer Science 2021-03-09 Marc Bury , Chris Schwiegelshohn , Mara Sorella

We present GraphMatch, an approximate yet efficient method for building the matching graph for large-scale structure-from-motion (SfM) pipelines. Unlike modern SfM pipelines that use vocabulary (Voc.) trees to quickly build the matching…

Computer Vision and Pattern Recognition · Computer Science 2017-10-05 Qiaodong Cui , Victor Fragoso , Chris Sweeney , Pradeep Sen

We present Fast Approximate Minimum Spanning Tree (FAMST), a novel algorithm that addresses the computational challenges of constructing Minimum Spanning Trees (MSTs) for large-scale and high-dimensional datasets. FAMST utilizes a…

Data Structures and Algorithms · Computer Science 2025-07-22 Mahmood K. M. Almansoori , Miklos Telek

Several problems in modeling and control of stochastically-driven dynamical systems can be cast as regularized semi-definite programs. We examine two such representative problems and show that they can be formulated in a similar manner. The…

Optimization and Control · Mathematics 2019-12-30 Armin Zare , Hesameddin Mohammadi , Neil K. Dhingra , Tryphon T. Georgiou , Mihailo R. Jovanović

Acquiring plausible pathways on high-dimensional structural distributions is beneficial in several domains. For example, in the drug discovery field, a protein conformational pathway, i.e. a highly probable sequence of protein structural…

Quantitative Methods · Quantitative Biology 2025-06-04 Ziyad Oulhaj , Yoshiyuki Ishii , Kento Ohga , Kimihiro Yamazaki , Mutsuyo Wada , Yuhei Umeda , Takashi Kato , Yuichiro Wada , Hiroaki Kurihara

We propose a Likelihood Matching approach for training diffusion models by first establishing an equivalence between the likelihood of the target data distribution and a likelihood along the sample path of the reverse diffusion. To…

Machine Learning · Statistics 2026-01-23 Lei Qian , Wu Su , Yanqi Huang , Song Xi Chen

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition. Unfortunately,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-03 Ali Ayremlou , Thomas Goldstein , Ashok Veeraraghavan , Richard Baraniuk

Given two input graphs, finding the largest subgraph that occurs in both, i.e., finding the maximum common subgraph, is a fundamental operator for evaluating the similarity between two graphs in graph data analysis. Existing works for…

Databases · Computer Science 2025-02-18 Kaiqiang Yu , Kaixin Wang , Cheng Long , Laks Lakshmanan , Reynold Cheng

Set similarity search is a problem of central interest to a wide variety of applications such as data cleaning and web search. Past approaches on set similarity search utilize either heavy indexing structures, incurring large search costs…

Databases · Computer Science 2021-07-23 Yifan Li , Xiaohui Yu , Nick Koudas

We propose a new method called the Metropolis-adjusted Mirror Langevin algorithm for approximate sampling from distributions whose support is a compact and convex set. This algorithm adds an accept-reject filter to the Markov chain induced…

Computation · Statistics 2024-06-24 Vishwak Srinivasan , Andre Wibisono , Ashia Wilson

Deep metric learning maps visually similar images onto nearby locations and visually dissimilar images apart from each other in an embedding manifold. The learning process is mainly based on the supplied image negative and positive training…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Chang-Hui Liang , Wan-Lei Zhao , Run-Qing Chen

Efficient sampling in biomolecular simulations is critical for accurately capturing the complex dynamical behaviors of biological systems. Adaptive sampling techniques aim to improve efficiency by focusing computational resources on the…

Biomolecules · Quantitative Biology 2024-10-22 Hassan Nadeem , Diwakar Shukla

Human instance matting aims to estimate an alpha matte for each human instance in an image, which is extremely challenging and has rarely been studied so far. Despite some efforts to use instance segmentation to generate a trimap for each…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Qinglin Liu , Shengping Zhang , Quanling Meng , Bineng Zhong , Peiqiang Liu , Hongxun Yao

We present the first data structures that maintain near optimal maximum cardinality and maximum weighted matchings on sparse graphs in sublinear time per update. Our main result is a data structure that maintains a $(1+\epsilon)$…

Data Structures and Algorithms · Computer Science 2013-04-11 Manoj Gupta , Richard Peng

Most sampling techniques for online social networks (OSNs) are based on a particular sampling method on a single graph, which is referred to as a statistics. However, various realizing methods on different graphs could possibly be used in…

Social and Information Networks · Computer Science 2015-12-21 Xin Wang , Richard T. B. Ma , Yinlong Xu , Zhipeng Li