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Our aim is to estimate the largest community (a.k.a., mode) in a population composed of multiple disjoint communities. This estimation is performed in a fixed confidence setting via sequential sampling of individuals with replacement. We…

Statistics Theory · Mathematics 2023-09-25 Meera Pai , Nikhil Karamchandani , Jayakrishnan Nair

The scattering matrix $S$ linearly relates the vector of incoming waves to outgoing wave excitations, and contains an enormous amount of information about the scattering system and its connections to the scattering channels. Time delay is…

Optics · Physics 2026-02-02 Isabella L. Giovannelli , Steven M. Anlage

Irregularly sampled time series data arise naturally in many application domains including biology, ecology, climate science, astronomy, and health. Such data represent fundamental challenges to many classical models from machine learning…

Machine Learning · Computer Science 2021-01-07 Satya Narayan Shukla , Benjamin M. Marlin

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections, a problem relevant in compressed sensing, sparse superposition codes or code division multiple access just to cite few. There has…

Information Theory · Computer Science 2017-03-24 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala

Cells must continuously sense and respond to time-varying environmental stimuli. These signals are transmitted and processed by biochemical signalling networks. However, the biochemical reactions making up these networks are intrinsically…

Molecular Networks · Quantitative Biology 2015-05-18 Filipe Tostevin , Pieter Rein ten Wolde

Neither artificial intelligence designed to play Turing's imitation game, nor augmented intelligence built to maximize the human manipulation of information are tuned to accelerate innovation and improve humanity's collective advance…

Artificial Intelligence · Computer Science 2022-07-05 Jamshid Sourati , James Evans

During the last few years an area of active research in the field of complex systems is that of their information storing and processing abilities. Common opinion has it that the most interesting beaviour of these systems is found ``at the…

adap-org · Physics 2007-05-23 Bartolo Luque , Antonio Ferrera

Given only aggregate choice data and limited information about how menus are distributed across the population, we describe what can be inferred robustly about the distribution of preferences (or more general decision rules). We strengthen…

Theoretical Economics · Economics 2024-05-16 Larry G Epstein , Kaushil Patel

Motivated by the proliferation of mobile devices, we consider a basic form of the ubiquitous problem of time-delay estimation (TDE), but with communication constraints between two non co-located sensors. In this setting, when joint…

Signal Processing · Electrical Eng. & Systems 2024-12-05 Amir Weiss , Yuval Kochman , Gregory W. Wornell

A new nudging method for data assimilation, delay-coordinate nudging, is presented. Delay-coordinate nudging makes explicit use of present and past observations in the formulation of the forcing driving the model evolution at each…

Atmospheric and Oceanic Physics · Physics 2016-01-12 D. Pazó , A. Carrassi , J. M. López

We formulate an info-clustering paradigm based on a multivariate information measure, called multivariate mutual information, that naturally extends Shannon's mutual information between two random variables to the multivariate case…

Information Theory · Computer Science 2016-12-13 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou , Tarik Kaced , Tie Liu

We studied the mutual information between a stimulus and a large system consisting of stochastic, statistically independent elements that respond to a stimulus. The Mutual Information (MI) of the system saturates exponentially with system…

Statistical Mechanics · Physics 2009-11-07 Kukjin Kang , Haim Sompolinsky

We analyze convergence of decentralized cooperative online estimation algorithms by a network of multiple nodes via information exchanging in an uncertain environment. Each node has a linear observation of an unknown parameter with randomly…

Signal Processing · Electrical Eng. & Systems 2020-12-08 Jiexiang Wang , Tao Li , Xiwei Zhang

Communities are ubiquitous in nature and society. Individuals that share common properties often self-organize to form communities. Avoiding the shortages of computation complexity, pre-given information and unstable results in different…

Physics and Society · Physics 2018-04-04 YunFeng Chang , SeungKee Han , XiDong Wang

The simulation of the dynamical behavior of pedestrians and crowds in spatial structures is a consolidated research and application context that still presents challenges for researchers in different fields and disciplines. Despite…

Multiagent Systems · Computer Science 2016-08-18 Giuseppe Vizzari , Stefania Bandini

We propose a novel approach for estimating mean survival time in the presence of censored data, in which we divide the population under study into survival-ordered fractions defined by a set of proportions, and compute the mean survival…

Methodology · Statistics 2018-10-18 Celia García-Pareja , Matteo Bottai

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

Medical crowdfunding is a popular channel for people needing financial help paying medical bills to collect donations from large numbers of people. However, large heterogeneity exists in donations across cases, and fundraisers face…

Machine Learning · Computer Science 2019-11-25 Tong Wang , Fujie Jin , Yu Hu , Yuan Cheng

A method is discussed that allows combining sets of differential or inclusive measurements. It is assumed that at least one measurement was obtained with simultaneously fitting a set of nuisance parameters, representing sources of…

Data Analysis, Statistics and Probability · Physics 2018-01-09 Jan Kieseler