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The effective representation, processing, analysis, and visualization of large-scale structured data, especially those related to complex domains such as networks and graphs, are one of the key questions in modern machine learning. Graph…

Machine Learning · Computer Science 2020-12-02 Xiaowen Dong , Dorina Thanou , Laura Toni , Michael Bronstein , Pascal Frossard

This tutorial paper refers to the use of graph-theoretic concepts for analyzing brain signals. For didactic purposes it splits into two parts: theory and application. In the first part, we commence by introducing some basic elements from…

Neurons and Cognition · Quantitative Biology 2020-07-14 Nikolaos Laskaris , Dimitrios A. Adamos , Anastasios Bezerianos

Functional data analysis (FDA) is a statistical framework that allows for the analysis of curves, images, or functions on higher dimensional domains. The goals of FDA, such as descriptive analyses, classification, and regression, are…

Methodology · Statistics 2023-12-12 Jan Gertheiss , David Rügamer , Bernard X. W. Liew , Sonja Greven

The R software has become popular among researchers due to its flexibility and open-source nature. However, researchers in the fields of public health and epidemiological studies are more customary to commercial statistical softwares such…

Graphs arise naturally in many real-world applications including social networks, recommender systems, ontologies, biology, and computational finance. Traditionally, machine learning models for graphs have been mostly designed for static…

Machine Learning · Computer Science 2020-04-28 Seyed Mehran Kazemi , Rishab Goel , Kshitij Jain , Ivan Kobyzev , Akshay Sethi , Peter Forsyth , Pascal Poupart

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

Machine Learning · Computer Science 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

Recently, many systems for graph analysis have been developed to address the growing needs of both industry and academia to study complex graphs. Insight into the practical uses of graph analysis will allow future developments of such…

Social and Information Networks · Computer Science 2018-07-03 Tim Hegeman , Alexandru Iosup

In this article we describe how we successfully incorporated data analysis in Python in a first-year laboratory course without significantly altering the course structure and without overburdening students. We show how we created and used…

Physics Education · Physics 2023-09-13 Eugenio Tufino , Stefano Oss , Micol Alemani

A graph is a data structure composed of dots (i.e. vertices) and lines (i.e. edges). The dots and lines of a graph can be organized into intricate arrangements. The ability for a graph to denote objects and their relationships to one…

Data Structures and Algorithms · Computer Science 2010-09-07 Marko A. Rodriguez , Peter Neubauer

Graphs are commonly used to characterise interactions between objects of interest. Because they are based on a straightforward formalism, they are used in many scientific fields from computer science to historical sciences. In this paper,…

Machine Learning · Statistics 2015-06-24 Pierre Latouche , Fabrice Rossi

In this paper we describe a hands-on laboratory oriented instructional package that we have developed for data communications and networking. The package consists of a software tool, together with instructional material for a laboratory…

Networking and Internet Architecture · Computer Science 2007-05-23 Rohit Goyal , Steve Lai , Raj Jain , Arian Durresi

Two fundamental research tasks in science and engineering are forward predictions and data inversion. This article introduces a recent R package RobustCalibration for Bayesian data inversion and model calibration by experiments and field…

Computation · Statistics 2024-02-20 Mengyang Gu

Graphs are a powerful tool for representing and analyzing unstructured, non-Euclidean data ubiquitous in the healthcare domain. Two prominent examples are molecule property prediction and brain connectome analysis. Importantly, recent works…

Machine Learning · Computer Science 2022-04-04 Kamilia Mullakaeva , Luca Cosmo , Anees Kazi , Seyed-Ahmad Ahmadi , Nassir Navab , Michael M. Bronstein

Computers and algorithms play an ever-increasing role in obtaining new results in graph theory. In this survey, we present a broad range of techniques used in computer-assisted graph theory, including the exhaustive generation of all…

Combinatorics · Mathematics 2025-08-29 Jorik Jooken

The R programming language combines a number of features considered hard to analyze and implement efficiently: dynamic typing, reflection, lazy evaluation, vectorized primitive types, first-class closures, and extensive use of native code.…

Programming Languages · Computer Science 2019-09-09 Olivier Flückiger , Guido Chari , Jan Ječmen , Ming-Ho Yee , Jakob Hain , Jan Vitek

In modern mathematics, graphs figure as one of the better-investigated class of mathematical objects. Various properties of graphs, as well as graph-processing algorithms, can be useful if graphs of a certain kind are used as denotations…

Logic in Computer Science · Computer Science 2007-05-23 Alex Shkotin

Directed graphs (DG), interpreted as state transition diagrams, are traditionally used to represent finite-state automata (FSA). In the context of formal languages, both FSA and regular expressions (RE) are equivalent in that they accept…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Fevzi Belli , Mutlu Beyazit

Data, algorithms, and arithmetic power are the three foundational conditions for deep learning to be effective in the application domain. Data is the focus for developing deep learning algorithms. In practical engineering applications, some…

Machine Learning · Computer Science 2024-06-19 Jingzhao Gu , Haoyang Huang

In the series of our earlier papers on the subject, we proposed a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from percolation theory and random graph theory. We developed…

Computation · Statistics 2011-02-24 Mikhail A. Langovoy , Olaf Wittich

Multiparticle systems on complicated metric graphs might have many applications in physics, biology and social life. But the corresponding science still does not exist. Here we start it with simplest examples where there is quadratic…

Mathematical Physics · Physics 2023-06-16 V. A. Malyshev , A. A. Zamyatin