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This paper proposes several approaches as baselines to compute a shared active subspace for multivariate vector-valued functions. The goal is to minimize the deviation between the function evaluations on the original space and those on the…

Methodology · Statistics 2024-01-08 Khadija Musayeva , Mickael Binois

The articulation process of dynamical networks is studied with a functional map, a minimal model for the dynamic change of relationships through iteration. The model is a dynamical system of a function $f$, not of variables, having a…

adap-org · Physics 2009-10-31 N. Kataoka , K. Kaneko

There is an increasing demand for computing the relevant structures, equilibria and long-timescale kinetics of biomolecular processes, such as protein-drug binding, from high-throughput molecular dynamics simulations. Current methods employ…

Machine Learning · Statistics 2018-02-07 Andreas Mardt , Luca Pasquali , Hao Wu , Frank Noé

Optimal sensor scheduling with applications to networked estimation and control systems is considered. We model sensor measurement and transmission instances using jumps between states of a continuous-time Markov chain. We introduce a cost…

Optimization and Control · Mathematics 2014-05-07 Farhad Farokhi , Karl H. Johansson

Semantic segmentation of large-scale outdoor point clouds is of significant importance in environment perception and scene understanding. However, this task continues to present a significant research challenge, due to the inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Haoran Gong , Haodong Wang , Di Wang

In this review, the state-of-the-art for goodness-of-fit testing for spatial point processes is summarized. Test statistics based on classical functional summary statistics and recent contributions from topological data analysis are…

Methodology · Statistics 2025-01-08 Chiara Fend , Claudia Redenbach

We present an approach that can be useful when the network or system performance is described by a model that is not Markovian. Although most performance models are based on Markov chains or Markov processes, in some cases the Markov…

Performance · Computer Science 2020-12-15 Andras Farago

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic…

Statistics Theory · Mathematics 2008-03-27 Cécile Hardouin , Jian-Feng Yao

This paper considers some designs for sampling and interventions in dynamic networks and spatial temporal settings. The sample spreads through the population largely by tracing network links, although random sampling or spatial designs may…

Methodology · Statistics 2013-06-05 Steven K. Thompson

In this research paper, the relationship between finite / countable state space stochastic processes and point processes is explored. Utilizing the known relationship between Poisson processes and continuous time Markov chains, finite /…

Statistics Theory · Mathematics 2012-04-24 Garimella Rama Murthy

Computational modeling helps neuroscientists to integrate and explain experimental data obtained through neurophysiological and anatomical studies, thus providing a mechanism by which we can better understand and predict the principles of…

Neurons and Cognition · Quantitative Biology 2023-09-22 Parvin Zarei Eskikand , David B Grayden , Tatiana Kameneva , Anthony N Burkitt , Michael R Ibbotson

Revealing the functional sites of biological sequences, such as evolutionary conserved, structurally interacting or co-evolving protein sites, is a fundamental, and yet challenging task. Different frameworks and models were developed to…

Quantitative Methods · Quantitative Biology 2019-06-07 Justas Dauparas , Haobo Wang , Avi Swartz , Peter Koo , Mor Nitzan , Sergey Ovchinnikov

In this paper, we propose a Network-Weighted Functional Regression (NWFR) model, an extension of Spatially Weighted Functional Regression (SWFR) to functional data defined on network-structured settings. To asses predictive uncertainity, we…

Methodology · Statistics 2025-06-02 Elvira Romano , Antonio Irpino , Claire Miller

Determinantal point processes are models for regular spatial point patterns, with appealing probabilistic properties. We present their spatio-temporal counterparts and give examples of these models, based on spatio-temporal covariance…

Statistics Theory · Mathematics 2023-01-09 Nafiseh Vafaei , Mohammad Ghorbani , Masoud Ganji , Mari Myllymäki

The development of smart cities requires innovative sensing solutions for efficient and low-cost urban environment monitoring. Bike-sharing systems, with their wide coverage, flexible mobility, and dense urban distribution, present a…

Optimization and Control · Mathematics 2024-10-10 Wen Ji , Ke Han , Qi Hao , Qian Ge , Ying Long

Data segmentation a.k.a. multiple change point analysis has received considerable attention due to its importance in time series analysis and signal processing, with applications in a variety of fields including natural and social sciences,…

Methodology · Statistics 2021-07-09 Haeran Cho , Claudia Kirch

Recent advancements in sensing, measurement, and computing technologies have significantly expanded the potential for signal-based applications, leveraging the synergy between signal processing and Machine Learning (ML) to improve both…

Signal Processing · Electrical Eng. & Systems 2024-03-27 Sulaiman Aburakhia , Abdallah Shami , George K. Karagiannidis

This study proposes a novel functional vector autoregressive framework for analyzing network interactions of functional outcomes in panel data settings. In this framework, an individual's outcome function is influenced by the outcomes of…

Methodology · Statistics 2026-02-27 Tomohiro Ando , Tadao Hoshino

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

Methodology · Statistics 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

In the study of dynamical processes on networks, there has been intense focus on network structure -- i.e., the arrangement of edges and their associated weights -- but the effects of the temporal patterns of edges remains poorly…

Physics and Society · Physics 2015-06-16 Till Hoffmann , Mason A. Porter , Renaud Lambiotte
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