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When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

Statistical Mechanics · Physics 2024-10-21 Henrik Seckler , Ralf Metzler

This paper presents a performance comparison of different estimation and prediction techniques applied to the problem of tracking multiple robots. The main performance criteria are the magnitude of the estimation or prediction error, the…

Robotics · Computer Science 2026-02-18 Jose Luis Peralta-Cabezas , Miguel Torres-Torriti , Marcelo Guarini-Hermann

We present a model of a novel measurement scheme to detect small amounts of a gas species via the ground-state fluctuations of the electromagnetic field (dispersion forces) depending on the entire spectral properties of all objects. Here,…

Quantum Physics · Physics 2024-05-13 Eivind Kristen Osestad , Pekka Parviainen , Johannes Fiedler

Satellite-based estimates of greenhouse gas (GHG) properties from observations of reflected solar spectra are integral for understanding and monitoring complex terrestrial systems and their impact on the carbon cycle due to their near…

We propose a sampling algorithm to perform system identification from a set of input-output graph signal pairs. The dynamics of the systems we study are given by a partially known adjacency matrix and a generic parametric graph filter of…

Signal Processing · Electrical Eng. & Systems 2024-01-01 Martín Sevilla , Santiago Segarra

This paper presents a Bayesian estimation method for sequential direction finding. The proposed method estimates the number of directions of arrivals (DOAs) and their DOAs performing operations on the factor graph. The graph represents a…

Signal Processing · Electrical Eng. & Systems 2023-02-07 Yongsung Park , Florian Meyer , Peter Gerstoft

Differential optical absorption spectroscopy (DOAS) is a powerful tool for detecting and quantifying trace gases in atmospheric chemistry \cite{Platt_Stutz08}. DOAS spectra consist of a linear combination of complex multi-peak multi-scale…

Numerical Analysis · Mathematics 2011-09-30 Y. Sun , L. M. Wingen , B. J. Finlayson-Pitts , J. Xin

We propose a physics-informed anomaly detection framework for collider data based on a Bayesian latent diffusion model. Our method combines a probabilistic encoder with diffusion dynamics in the latent space, allowing for stable and…

Data Analysis, Statistics and Probability · Physics 2026-03-27 Jigar Patel , Tommaso Dorigo

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

A diffusive lattice gas is characterized by the diffusion coefficient depending only on the density. The Green-Kubo formula for diffusivity can be represented as a variational formula, but even when the equilibrium properties of a lattice…

Statistical Mechanics · Physics 2017-03-10 Chikashi Arita , P. L. Krapivsky , Kirone Mallick

The problem of estimating the dynamic direction of arrival of far field signals impinging on a uniform linear array, with mutual coupling effects, is addressed. This work proposes two novel approaches able to provide accurate solutions,…

Information Theory · Computer Science 2017-02-15 Matthew Hawes , Lyudmila Mihaylova , François Septier , Simon Godsill

We study Bayes procedures for the problem of nonparametric drift estimation for one-dimensional, ergodic diffusion models from discrete-time, low-frequency data. We give conditions for posterior consistency and verify these conditions for…

Statistics Theory · Mathematics 2013-02-01 Frank van der Meulen , Harry van Zanten

Using the measurements collected at a number of known locations by a moving binary sensor, characterised by an unknown threshold, the problem is to estimate the parameters of a biochemical source, continuously releasing material into the…

Applications · Statistics 2016-08-24 Branko Ristic , Ajith Gunatilaka , Ralph Gailis

Non-invasive gaze estimation methods usually regress gaze directions directly from a single face or eye image. However, due to important variabilities in eye shapes and inner eye structures amongst individuals, universal models obtain…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Gang Liu , Yu Yu , Kenneth A. Funes Mora , Jean-Marc Odobez

A fast and general Bayesian inference framework to infer the physical properties of dichroic polarization using mid-infrared imaging- and spectro-polarimetric observations is presented. The Bayesian approach is based on a hierarchical…

Instrumentation and Methods for Astrophysics · Physics 2015-12-02 E. Lopez-Rodriguez

Sampling from the posterior is a key technical problem in Bayesian statistics. Rigorous guarantees are difficult to obtain for Markov Chain Monte Carlo algorithms of common use. In this paper, we study an alternative class of algorithms…

Statistics Theory · Mathematics 2024-08-26 Andrea Montanari , Yuchen Wu

As global climate change severely impacts our world, there is an increasing demand to monitor trace gases with a high spatial resolution and accuracy. At the same time, these instruments need to be compact in order have constellations for…

Optics · Physics 2025-08-14 Marijn Siemons , Ralf Kohlhaas

Diffusion models have impressive image generation capability, but low-quality generations still exist, and their identification remains challenging due to the lack of a proper sample-wise metric. To address this, we propose BayesDiff, a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Siqi Kou , Lei Gan , Dequan Wang , Chongxuan Li , Zhijie Deng

A distributed inference scheme which uses bounded transmission functions over a Gaussian multiple access channel is considered. When the sensor measurements are decreasingly reliable as a function of the sensor index, the conditions on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-16 Sivaraman Dasarathan , Cihan Tepedelenlioglu

Crystalline phase structure is essential for understanding the performance and properties of a material. Therefore, this study identified and quantified the crystalline phase structure of a sample based on the diffraction pattern observed…

Materials Science · Physics 2023-09-27 Ryo Murakami , Yoshitaka Matsushita , Kenji Nagata , Hayaru Shouno , Hideki Yoshikawa