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We study Granger causality in the context of wide-sense stationary time series, where our focus is on the topological aspects of the underlying causality graph. We establish sufficient conditions (in particular, we develop the notion of a…

统计理论 · 数学 2019-11-19 R. J. Kinnear , R. R. Mazumdar

A Tone Mapping Operator (TMO) is required to render images with a High Dynamic Range (HDR) on media with limited dynamic capabilities. TMOs compress the dynamic range with the aim of preserving the visually perceptual cues of the scene.…

图像与视频处理 · 电气工程与系统科学 2024-11-11 Abhishek Goswami , Erwan Bernard , Wolf Hauser , Frederic Dufaux , Rafal Mantiuk

Choreographies are global descriptions of interactions among concurrent components, most notably used in the settings of verification (e.g., Multiparty Session Types) and synthesis of correct-by-construction software (Choreographic…

编程语言 · 计算机科学 2017-08-09 Luís Cruz-Filipe , Kim S. Larsen , Fabrizio Montesi

The theory of colorful graphs can be developed by working in Galois field modulo (p), p > 2 and a prime number. The paper proposes a program of possible conversion of graph theory into a pleasant colorful appearance. We propose to paint the…

综合数学 · 数学 2007-05-23 Dhananjay P. Mehendale

Graph generation generally aims to create new graphs that closely align with a specific graph distribution. Existing works often implicitly capture this distribution through the optimization of generators, potentially overlooking the…

机器学习 · 计算机科学 2024-07-19 Song Wang , Zhen Tan , Xinyu Zhao , Tianlong Chen , Huan Liu , Jundong Li

Graph coloring is one of the most famous computational problems with applications in a wide range of areas such as planning and scheduling, resource allocation, and pattern matching. So far coloring problems are mostly studied on static…

离散数学 · 计算机科学 2019-06-12 George B. Mertzios , Hendrik Molter , Viktor Zamaraev

Learning the unique directed acyclic graph corresponding to an unknown causal model is a challenging task. Methods based on functional causal models can identify a unique graph, but either suffer from the curse of dimensionality or impose…

机器学习 · 计算机科学 2025-01-14 Sujai Hiremath , Jacqueline R. M. A. Maasch , Mengxiao Gao , Promit Ghosal , Kyra Gan

This paper describes a data-driven framework to parse musical sequences into dependency trees, which are hierarchical structures used in music cognition research and music analysis. The parsing involves two steps. First, the input sequence…

声音 · 计算机科学 2023-06-30 Francesco Foscarin , Daniel Harasim , Gerhard Widmer

We prove several results about chordal graphs and weighted chordal graphs by focusing on exposed edges. These are edges that are properly contained in a single maximal complete subgraph. This leads to a characterization of chordal graphs…

组合数学 · 数学 2018-08-16 Jared Culbertson , Dan P. Guralnik , Peter F. Stiller

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

We present novel graph kernels for graphs with node and edge labels that have ordered neighborhoods, i.e. when neighbor nodes follow an order. Graphs with ordered neighborhoods are a natural data representation for evolving graphs where…

机器学习 · 计算机科学 2018-05-30 Moez Draief , Konstantin Kutzkov , Kevin Scaman , Milan Vojnovic

This paper describes a statistically-principled semi-supervised method of automatic chord estimation (ACE) that can make effective use of music signals regardless of the availability of chord annotations. The typical approach to ACE is to…

声音 · 计算机科学 2020-09-09 Yiming Wu , Tristan Carsault , Eita Nakamura , Kazuyoshi Yoshii

In this paper, we are interested in learning the underlying graph structure behind training data. Solving this basic problem is essential to carry out any graph signal processing or machine learning task. To realize this, we assume that the…

机器学习 · 计算机科学 2018-05-08 Sundeep Prabhakar Chepuri , Sijia Liu , Geert Leus , Alfred O. Hero

The problem of counting occurrences of query graphs in a large data graph, known as subgraph counting, is fundamental to several domains such as genomics and social network analysis. Many important special cases (e.g. triangle counting)…

分布式、并行与集群计算 · 计算机科学 2016-04-05 Venkatesan T. Chakaravarthy , Michael Kapralov , Prakash Murali , Fabrizio Petrini , Xinyu Que , Yogish Sabharwal , Baruch Schieber

We consider the problem of graph generation guided by network statistics, i.e., the generation of graphs which have given values of various numerical measures that characterize networks, such as the clustering coefficient and the number of…

社会与信息网络 · 计算机科学 2023-03-02 Jérôme Kunegis , Jun Sun , Eiko Yoneki

A visualized graph is a powerful tool for data analysis and synthesis tasks. In this case, the task of visualization constitutes not only in displaying vertices and edges according to the graph representation, but also in ensuring that the…

组合数学 · 数学 2024-08-01 Sergey Kurapov , Maxim Davidovsky

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

机器学习 · 计算机科学 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

Constructing a spanning tree of a graph is one of the most basic tasks in graph theory. Motivated by several recent studies of local graph algorithms, we consider the following variant of this problem. Let G be a connected bounded-degree…

组合数学 · 数学 2015-02-04 Reut Levi , Guy Moshkovitz , Dana Ron , Ronitt Rubinfeld , Asaf Shapira

A \emph{unichord} in a graph is an edge that is the unique chord of a cycle. A \emph{square} is an induced cycle on four vertices. A graph is \emph{unichord-free} if none of its edges is a unichord. We give a slight restatement of a known…

离散数学 · 计算机科学 2014-02-05 Raphael C. S. Machado , Celina M. H. de Figueiredo , Nicolas Trotignon

Textual graphs are ubiquitous in real-world applications, featuring rich text information with complex relationships, which enables advanced research across various fields. Textual graph representation learning aims to generate…

机器学习 · 计算机科学 2024-08-22 Wenbin Hu , Huihao Jing , Qi Hu , Haoran Li , Yangqiu Song