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The Binary Jumbled String Matching problem is defined as: Given a string $s$ over $\{a,b\}$ of length $n$ and a query $(x,y)$, with $x,y$ non-negative integers, decide whether $s$ has a substring $t$ with exactly $x$ $a$'s and $y$ $b$'s.…

Data Structures and Algorithms · Computer Science 2013-06-03 Golnaz Badkobeh , Gabriele Fici , Steve Kroon , Zsuzsanna Lipták

A spin system is a framework in which the vertices of a graph are assigned spins from a finite set. The interactions between neighbouring spins give rise to weights, so a spin assignment can also be viewed as a weighted graph homomorphism.…

Data Structures and Algorithms · Computer Science 2021-04-15 Andreas Galanis , Leslie Ann Goldberg , James Stewart

Graph Neural Networks (GNNs) have demonstrated their effectiveness in various graph learning tasks, yet their reliance on neighborhood aggregation during inference poses challenges for deployment in latency-sensitive applications, such as…

Machine Learning · Computer Science 2024-12-06 Zehong Wang , Zheyuan Zhang , Chuxu Zhang , Yanfang Ye

Finding dense subgraphs is a fundamental algorithmic tool in data mining, community detection, and clustering. In this problem, one aims to find an induced subgraph whose edge-to-vertex ratio is maximized. We study the directed case of this…

Data Structures and Algorithms · Computer Science 2023-11-21 Slobodan Mitrović , Theodore Pan

The Silicon Dangling Bond (SiDB) logic platform, an emerging computational beyond-CMOS nanotechnology, is a promising competitor due to its ability to achieve integration density and clock speed values that are several orders of magnitude…

Applied Physics · Physics 2023-08-10 Jan Drewniok , Marcel Walter , Robert Wille

Fitting network models to neural activity is an important tool in neuroscience. A popular approach is to model a brain area with a probabilistic recurrent spiking network whose parameters maximize the likelihood of the recorded activity.…

Machine Learning · Statistics 2021-11-16 Guillaume Bellec , Shuqi Wang , Alireza Modirshanechi , Johanni Brea , Wulfram Gerstner

We present SymPix, a special-purpose spherical grid optimized for efficient sampling of rotationally invariant linear operators. This grid is conceptually similar to the Gauss-Legendre (GL) grid, aligning sample points with iso-latitude…

Instrumentation and Methods for Astrophysics · Physics 2017-03-15 Dag Sverre Seljebotn , Hans Kristian Eriksen

We study index-based processing for connectivity queries within sliding windows on streaming graphs. These queries, which determine whether two vertices belong to the same connected component, are fundamental operations in real-time graph…

Databases · Computer Science 2024-06-14 Chao Zhang , Angela Bonifati , M. Tamer Özsu

Network information mining is the study of the network topology, which answers a large number of application-based questions towards the structural evolution and the function of a real system. For example, the questions can be related to…

Physics and Society · Physics 2022-06-29 Yijun Ran , Tianyu Liu , Tao Jia , Xiao-Ke Xu

Graph-based approaches to nearest neighbor search are popular and powerful tools for handling large datasets in practice, but they have limited theoretical guarantees. We study the worst-case performance of recent graph-based approximate…

Data Structures and Algorithms · Computer Science 2023-10-31 Piotr Indyk , Haike Xu

We study the problem of approximating the number of $k$-cliques in a graph when given query access to the graph. We consider the standard query model for general graphs via (1) degree queries, (2) neighbor queries and (3) pair queries. Let…

Data Structures and Algorithms · Computer Science 2018-03-14 Talya Eden , Dana Ron , C. Seshadhri

Summarizing graphs w.r.t. structural features is important to reduce the graph's size and make tasks like indexing, querying, and visualization feasible. Our generic parallel BRS algorithm efficiently summarizes large graphs w.r.t. a custom…

Data Structures and Algorithms · Computer Science 2023-05-16 Jannik Rau , David Richerby , Ansgar Scherp

Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Traditional graph-based semi-supervised learning (SSL) approaches, even though widely applied, are not suited for massive data and large label scenarios since they scale linearly with the number of edges $|E|$ and distinct labels $m$. To…

Machine Learning · Computer Science 2016-05-17 Sujith Ravi , Qiming Diao

The quality of graph-structured data is fundamental to the success of modern graph analysis techniques such as Graph Neural Networks (GNNs). However, real-world graph data is often suboptimal, suffering from issues such as noise and…

Machine Learning · Computer Science 2026-05-19 Shen Han , Zhiyao Zhou , Jiawei Chen , Sheng Zhou , Canghong Jin , Hai Lin , Da Zhong Li , Bingde Hu , Can Wang

Attributed network embedding aims to learn low-dimensional vector representations for nodes in a network, where each node contains rich attributes/features describing node content. Because network topology structure and node attributes…

Social and Information Networks · Computer Science 2018-10-17 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

In this paper, we propose a scalable and highly efficient index structure for the reachability problem over graphs. We build on the well-known node interval labeling scheme where the set of vertices reachable from a particular node is…

Databases · Computer Science 2012-12-03 Stephan Seufert , Avishek Anand , Srikanta Bedathur , Gerhard Weikum

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Approximate nearest neighbor search (ANNS) is a fundamental building block in information retrieval with graph-based indices being the current state-of-the-art and widely used in the industry. Recent advances in graph-based indices have…

Information Retrieval · Computer Science 2021-05-21 Aditi Singh , Suhas Jayaram Subramanya , Ravishankar Krishnaswamy , Harsha Vardhan Simhadri

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
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