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Mathematical modelling is a cornerstone of computational biology. While mechanistic models might describe the interactions of interest of a system, they are often difficult to study. On the other hand, abstract models might capture key…

Dynamical Systems · Mathematics 2025-05-01 Lucas Jesus Morales-Moya

Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the network setting, critical nodes of different indices are defined. This leads to a concise and…

Methodology · Statistics 2012-05-01 E. Weinan , Jianfeng Lu , Yuan Yao

Consider a system of N components in which traffic arrives as separate but correlated nonhomogenous Poisson streams to each node rather than passing into the system at one entry point. A method is given to construct such systems…

Probability · Mathematics 2016-01-15 Rachel Traylor

Within a truncated determinant algorithm, two alternatives are discussed for including systematically the remaining ultraviolet modes. Evidence is presented that these modes are accurately described by an effective action involving only…

High Energy Physics - Lattice · Physics 2009-09-25 A. Duncan , E. Eichten , H. Thacker

Comparing time series is essential in various tasks such as clustering and classification. While elastic distance measures that allow warping provide a robust quantitative comparison, a qualitative comparison on top of them is missing.…

Machine Learning · Computer Science 2025-06-19 Simiao Lin , Wannes Meert , Pieter Robberechts , Hendrik Blockeel

We consider problems to make a given bidirected graph strongly connected with minimum cardinality of additional signs or additional arcs. For the former problem, we show the minimum number of additional signs and give a linear-time…

Discrete Mathematics · Computer Science 2017-09-05 Tatsuya Matsuoka , Shun Sato

This Letter presents a unified approach for the fundamental relationship between structure and function in flow networks by solving analytically the voltages in a resistor network, transforming the network structure to an effective…

Physics and Society · Physics 2015-06-12 Nicolás Rubido , Celso Grebogi , Murilo S. Baptista

A systematic construction of higher order splines using two hierarchies of polynomials is presented. Explicit instructions on how to implement one of these hierarchies are given. The results are limited to interpolations on regular,…

Numerical Analysis · Computer Science 2009-05-25 Cristian Constantin Lalescu

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

Molecular Networks · Quantitative Biology 2021-07-16 Somya Mani , Tsvi Tlusty

Context: The importance of the feature modeling for the software product lines considering the modeling and management of the variability. Objective: Define a protocol to conduct a systematic mapping study to summarize and synthesize the…

Software Engineering · Computer Science 2021-03-31 Samuel Sepúlveda , Marcelo Esperguel

This paper considers the problem of detecting topology variations in dynamical networks. We consider a network whose behavior can be represented via a linear dynamical system. The problem of interest is then that of finding conditions under…

Systems and Control · Computer Science 2015-04-17 G. Battistelli , P. Tesi

An efficient computer algorithm is described for the perspective drawing of a wide class of surfaces. The class includes surfaces corresponding lo single-valued, continuous functions which are defined over rectangular domains. The algorithm…

Graphics · Computer Science 2011-07-29 Ignacio Vega-Paez , Jose Angel Ortega , Georgina G. Pulido

Transmission line, or wire, is always troublesome to integrated circuits designers, but it could be helpful to parallel computing researchers. This paper proposes the Virtual Transmission Method (VTM), which is a new distributed and…

Computational Engineering, Finance, and Science · Computer Science 2010-12-10 Fei Wei , Huazhong Yang

Metabolic networks, formed by a series of metabolic pathways, are made of intracellular and extracellular reactions that determine the biochemical properties of a cell, and by a set of interactions that guide and regulate the activity of…

Logic in Computer Science · Computer Science 2020-08-24 Jean-Marc Alliot , Marta Cialdea Mayer , Robert Demolombe , Martín Diéguez , Luis Fariñas del Cerro

Scheduling wireless links for simultaneous activation in such a way that all transmissions are successfully decoded at the receivers and moreover network capacity is maximized is a computationally hard problem. Usually it is tackled by…

Networking and Internet Architecture · Computer Science 2016-03-15 Fabio R. J. Vieira , José F. de Rezende , Valmir C. Barbosa

We present a prototype online system to automate the procedure of computing different types of linear layouts of graphs under different user-specific constraints. Currently, four different types of linear layouts are supported: stack,…

Discrete Mathematics · Computer Science 2023-03-20 Michael A. Bekos , Mirco Haug , Michael Kaufmann , Julia Männecke

Background:Typically, proteins perform key biological functions by interacting with each other. As a consequence, predicting which protein pairs interact is a fundamental problem. Experimental methods are slow, expensive, and may be error…

Biomolecules · Quantitative Biology 2022-02-08 Leonardo Martini , Adriano Fazzone , Luca Becchetti

Cities can be seen as the epitome of complex systems. They arise from a set of interactions and components so diverse that is almost impossible to describe them exhaustively. Amid this diversity, we chose an object which orchestrates the…

Physics and Society · Physics 2015-12-07 Claire Lagesse

Topological metrics of graphs provide a natural way to describe the prominent features of various types of networks. Graph metrics describe the structure and interplay of graph edges and have found applications in many scientific fields. In…

Data Structures and Algorithms · Computer Science 2018-06-21 Loukianos Spyrou , Javier Escudero

Line matching plays an essential role in structure from motion (SFM) and simultaneous localization and mapping (SLAM), especially in low-textured and repetitive scenes. In this paper, we present a new method of using a graph convolution…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 QuanMeng Ma , Guang Jiang , DianZhi Lai
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