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In the past decades, many graph drawing techniques have been proposed for generating aesthetically pleasing graph layouts. However, it remains a challenging task since different layout methods tend to highlight different characteristics of…

Machine Learning · Computer Science 2021-06-30 Xiaoqi Wang , Kevin Yen , Yifan Hu , Han-Wei Shen

Spectral independence is a recently-developed framework for obtaining sharp bounds on the convergence time of the classical Glauber dynamics. This new framework has yielded optimal $O(n \log n)$ sampling algorithms on bounded-degree graphs…

Data Structures and Algorithms · Computer Science 2023-10-16 Ivona Bezáková , Andreas Galanis , Leslie Ann Goldberg , Daniel Štefankovič

The graph is one of the most widely used mathematical structures in engineering and science because of its representational power and inherent ability to demonstrate the relationship between objects. The objective of this work is to…

Data Structures and Algorithms · Computer Science 2021-01-01 Shri Prakash Dwivedi

Analog/mixed-signal circuit design encounters significant challenges due to performance degradation from process, voltage, and temperature (PVT) variations. To achieve commercial-grade reliability, iterative manual design revisions and…

Graph anomaly detection aims to identify unusual patterns in graph-based data, with wide applications in fields such as web security and financial fraud detection. Existing methods typically rely on contrastive learning, assuming that a…

Machine Learning · Computer Science 2025-05-26 Di Jin , Jingyi Cao , Xiaobao Wang , Bingdao Feng , Dongxiao He , Longbiao Wang , Jianwu Dang

Despite the large research effort devoted to learning dependencies between time series, the state of the art still faces a major limitation: existing methods learn partial correlations but fail to discriminate across distinct frequency…

Machine Learning · Computer Science 2024-07-08 Gabriele D'Acunto , Paolo Di Lorenzo , Francesco Bonchi , Stefania Sardellitti , Sergio Barbarossa

Graph Learning (GL) is at the core of inference and analysis of connections in data mining and machine learning (ML). By observing a dataset of graph signals, and considering specific assumptions, Graph Signal Processing (GSP) tools can…

Machine Learning · Computer Science 2022-11-08 Aref Einizade , Sepideh Hajipour Sardouie

Lane detection is a fundamental task in autonomous driving. While the problem is typically formulated as the detection of continuous boundaries, we study the problem of detecting lane boundaries that are sparsely marked by 2D points with…

Robotics · Computer Science 2024-05-28 Ivo Ivanov , Carsten Markgraf

Anomaly detection is fundamental yet, challenging problem with practical applications in industry. The current approaches neglect the higher-order dependencies within the networks of interconnected sensors in the high-dimensional time…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

Machine Learning · Computer Science 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

Dawar and Wilsenach (ICALP 2020) introduce the model of symmetric arithmetic circuits and show an exponential separation between the sizes of symmetric circuits for computing the determinant and the permanent. The symmetry restriction is…

Computational Complexity · Computer Science 2024-09-02 Anuj Dawar , Gregory Wilsenach

Real-world data is often times associated with irregular structures that can analytically be represented as graphs. Having access to this graph, which is sometimes trivially evident from domain knowledge, provides a better representation of…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Muhammad Asad Lodhi , Waheed U. Bajwa

Given the widespread use of safety-critical applications in the automotive field, it is crucial to ensure the Functional Safety (FuSa) of circuits and components within automotive systems. The Analog and Mixed-Signal (AMS) circuits…

An important problem in geometric reasoning is to find the configuration of a collection of geometric bodies so as to satisfy a set of given constraints. Recently, it has been suggested that this problem can be solved efficiently by…

Artificial Intelligence · Computer Science 2009-09-25 S. Bhansali , G. A. Kramer , T. J. Hoar

Heterogeneous graph neural networks (HGNNs) have significantly propelled the information retrieval (IR) field. Still, the effectiveness of HGNNs heavily relies on high-quality labels, which are often expensive to acquire. This challenge has…

Machine Learning · Computer Science 2024-09-12 Siqing Li , Jin-Duk Park , Wei Huang , Xin Cao , Won-Yong Shin , Zhiqiang Xu

Graph-structured data is central to many scientific and industrial domains, where the goal is often to optimize objectives defined over graph structures. Given the combinatorial complexity of graph spaces, such optimization problems are…

Optimization and Control · Mathematics 2025-09-25 Shiqiang Zhang , Ruth Misener

There exist many orthogonal graph drawing algorithms that minimize edge crossings or edge bends, however they produce unsatisfactory drawings in many practical cases. In this paper we present a grid-based algorithm for drawing orthogonal…

Other Computer Science · Computer Science 2018-07-26 Karlis Freivalds , Jans Glagolevs

We derive a new lower bound for the bandwidth of a graph that is based on a new lower bound for the minimum cut problem. Our new semidefinite programming relaxation of the minimum cut problem is obtained by strengthening the known…

Optimization and Control · Mathematics 2015-01-05 Edwin R. van Dam , Renata Sotirov

Symmetry in mathematical programming may lead to a multiplicity of solutions. In nonconvex optimisation, it can negatively affect the performance of the branch-and-bound algorithm. Symmetry may induce large search trees with multiple…

Optimization and Control · Mathematics 2019-01-23 Georgia Kouyialis , Ruth Misener

Inspired by the recent success of self-supervised methods applied on images, self-supervised learning on graph structured data has seen rapid growth especially centered on augmentation-based contrastive methods. However, we argue that…

Machine Learning · Computer Science 2021-12-08 Namkyeong Lee , Junseok Lee , Chanyoung Park