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Statistical arbitrage strategies, such as pairs trading and its generalizations, rely on the construction of mean-reverting spreads enjoying a certain degree of predictability. Gaussian linear state-space processes have recently been…

Statistical Finance · Quantitative Finance 2009-05-19 Kostas Triantafyllopoulos , Giovanni Montana

Constructing a minimal vertex cover of a graph can be seen as a prototype for a combinatorial optimization problem under hard constraints. In this paper, we develop and analyze message passing techniques, namely warning and survey…

Statistical Mechanics · Physics 2007-05-23 Martin Weigt , Haijun Zhou

We propose a framework for the derivation and evaluation of distributed iterative algorithms for receiver cooperation in interference-limited wireless systems. Our approach views the processing within and collaboration between receivers as…

Information Theory · Computer Science 2012-04-18 Mihai-Alin Badiu , Carles Navarro Manchón , Vasile Bota , Bernard Henri Fleury

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

Physics and Society · Physics 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

A protocol for distributed estimation of discrete distributions is proposed. Each agent begins with a single sample from the distribution, and the goal is to learn the empirical distribution of the samples. The protocol is based on a simple…

Optimization and Control · Mathematics 2014-06-06 Anand D. Sarwate , Tara Javidi

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

Distributed estimation and processing in networks modeled by graphs have received a great deal of interest recently, due to the benefits of decentralised processing in terms of performance and robustness to communications link failure…

Multiagent Systems · Computer Science 2016-11-29 C. T. Healy , R. C. de Lamare

We report on a data-driven investigation aimed at understanding the dynamics of message spreading in a real-world dynamical network of human proximity. We use data collected by means of a proximity-sensing network of wearable sensors that…

Networking and Internet Architecture · Computer Science 2012-08-09 André Panisson , Alain Barrat , Ciro Cattuto , Wouter Van den Broeck , Giancarlo Ruffo , Rossano Schifanella

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

Statistical Mechanics · Physics 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

We consider a network of sensors deployed to sense a spatio-temporal field and estimate a parameter of interest. We are interested in the case where the temporal process sensed by each sensor can be modeled as a state-space process that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-04-12 S. Sundhar Ram , V. V. Veeravalli , A. Nedic

In this work, we investigate the sampling and reconstruction of spectrally $s$-sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time sampling regime, referred to as {randomized} dynamical…

Numerical Analysis · Mathematics 2024-10-24 Longxiu Huang , Dongyang Li , Sui Tang , Qing Yao

This paper introduces a probabilistic approach for tracking the dynamics of unweighted and directed graphs using state-space models (SSMs). Unlike conventional topology inference methods that assume static graphs and generate point-wise…

Signal Processing · Electrical Eng. & Systems 2024-09-13 Victor M. Tenorio , Elvin Isufi , Geert Leus , Antonio G. Marques

This paper studies a novel approach for approximating the behavior of compartmental spreading processes. In contrast to prior work, the methods developed describe a dynamics which bound the exact moment dynamics, without explicitly…

Optimization and Control · Mathematics 2015-07-21 Nicholas J. Watkins , Cameron Nowzari , Victor M. Preciado , George J. Pappas

Mathematical modeling is now used commonly in the analysis of signaling networks. With advances in high resolution microscopy, the spatial location of different signaling molecules and the spatio-temporal dynamics of signaling microdomains…

Subcellular Processes · Quantitative Biology 2016-07-26 Jasmine Nirody , Padmini Rangamani

Suppose sender-receiver transmission links in a downlink network at given data rate are subject to fading, path-loss and inter-cell interference, and that transmissions either pass, suffer loss, or incur retransmission delay. We introduce a…

Probability · Mathematics 2023-06-29 Ingemar Kaj , Taisiia Morozova

We model two time and space scales discrete observations by using a unique continuous diffusion process with time dependent coefficient. We define new parameters for the large scale model as functions of the small scale distribution…

Methodology · Statistics 2009-09-09 V. Calian , G. Stefansson , L. P. Folkow , A. S. Blix

Mathematical models of motility are often based on random-walk descriptions of discrete individuals that can move according to certain rules. It is usually the case that large masses concentrated in small regions of space have a great…

Physics and Society · Physics 2022-11-23 Carles Falcó