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Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-02 Luis E. Padilla , Luis O. Tellez , Luis A. Escamilla , J. Alberto Vazquez

The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

This paper proposes a machine learning (ML) method to predict stable molecular geometries from their chemical composition. The method is useful for generating molecular conformations which may serve as initial geometries for saving time…

A general method to generate a centrosymmetric matrix associated with the solving of partial differential equation (PDE) on an irreducible domain by means of a linear equation system is proposed. The method applies to any PDE for which both…

Numerical Analysis · Mathematics 2025-03-12 T. Thuillier

Compared to widely used likelihood-based approaches, the minimum contrast (MC) method offers a computationally efficient method for estimation and inference of spatial point processes. These relative gains in computing time become more…

Methodology · Statistics 2024-07-03 Lin Zhu , Junho Yang , Mikyoung Jun , Scott Cook

Application of the minimum distance method to the linear regression model for estimating regression parameters is a difficult and time-consuming process due to the complexity of its distance function, and hence, it is computationally…

Computation · Statistics 2017-02-15 Jiwoong Kim

Obtaining the set of cosmological parameters consistent with observational data is an important exercise in current cosmological research. It involves finding the global maximum of the likelihood function in the multi-dimensional parameter…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-03 Jayanti Prasad , Tarun Souradeep

We introduce a novel concept, the minimal molecular surface (MMS), as a new paradigm for the theoretical modeling of biomolecule-solvent interfaces. When a less polar macromolecule is immersed in a polar environment, the surface free energy…

Biomolecules · Quantitative Biology 2007-05-23 P. W. Bates , G. W. Wei , Shan Zhao

A communication network can be modeled as a directed connected graph with edge weights that characterize performance metrics such as loss and delay. Network tomography aims to infer these edge weights from their pathwise versions measured…

Optimization and Control · Mathematics 2019-08-12 Mahmood Ettehad , Nick Duffield , Gregory Berkolaiko

An algorithm for the computation of global discrete conformal parametrizations with prescribed global holonomy signatures for triangle meshes was recently described in [Campen and Zorin 2017]. In this paper we provide a detailed analysis of…

Graphics · Computer Science 2017-05-09 Marcel Campen , Denis Zorin

We study the problem of recovering a planted matching in randomly weighted complete bipartite graphs $K_{n,n}$. For some unknown perfect matching $M^*$, the weight of an edge is drawn from one distribution $P$ if $e \in M^*$ and another…

Data Structures and Algorithms · Computer Science 2020-11-11 Mehrdad Moharrami , Cristopher Moore , Jiaming Xu

The symmetry of complex networks is a global property that has recently gained attention since MacArthur et al. 2008 showed that many real-world networks contain a considerable number of symmetries. These authors work with a very strict…

Social and Information Networks · Computer Science 2023-12-14 Anna Pidnebesna , David Hartman , Aneta Pokorná , Matěj Straka , Jaroslav Hlinka

Previous partial permutation synchronization (PPS) algorithms, which are commonly used for multi-object matching, often involve computation-intensive and memory-demanding matrix operations. These operations become intractable for large…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Shaohan Li , Yunpeng Shi , Gilad Lerman

GPS receivers embedded in cell phones and connected vehicles generate a series of location measurements that can be used for various analytical purposes. A common pre-processing step of this data is the so-called map matching. The goal of…

Networking and Internet Architecture · Computer Science 2019-10-14 David Fiedler , Michal Čáp , Jan Nykl , Pavol Žilecký , Martin Schaefer

In Terminal Monitoring Set (TMS), the input is an undirected graph $G=(V,E)$, together with a collection $T$ of terminal pairs and the goal is to find a subset $S$ of minimum size that hits a shortest path between every pair of terminals.…

Discrete Mathematics · Computer Science 2024-06-05 N. R. Aravind , Roopam Saxena

The standard model of cosmology, {\Lambda}CDM, is the simplest model that matches the current observations, but it relies on two hypothetical components, to wit, dark matter and dark energy. Future galaxy surveys and cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-13 Cyrille Doux , Mariana Penna-Lima , Sandro D. P. Vitenti , Julien Tréguer , Eric Aubourg , Ken Ganga

This work proposes a method for sparse polynomial chaos (PC) approximation of high-dimensional stochastic functions based on non-adapted random sampling. We modify the standard l1 -minimization algorithm, originally proposed in the context…

Numerical Analysis · Mathematics 2015-06-16 Ji Peng , Jerrad Hampton , Alireza Doostan

Over the last two decades, the Latent Position Model (LPM) has become a prominent tool to obtain model-based visualizations of networks. However, the geometric structure of the LPM is inherently symmetric, in the sense that outgoing and…

Methodology · Statistics 2026-02-02 Chaoyi Lu , Riccardo Rastelli

We design a lightweight beam-searching algorithm for mobile millimeter-wave systems. We construct and maintain a set of path skeletons, i.e., potential paths between a user and the serving base station to substantially expedite the…

Signal Processing · Electrical Eng. & Systems 2019-12-30 Sara Khosravi , Hossein S. Ghadikolaei , Marina Petrova

In a recent work, Esmer et al. describe a simple method - Approximate Monotone Local Search - to obtain exponential approximation algorithms from existing parameterized exact algorithms, polynomial-time approximation algorithms and, more…

Data Structures and Algorithms · Computer Science 2023-08-30 Baris Can Esmer , Ariel Kulik , Daniel Marx , Daniel Neuen , Roohani Sharma