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The modeling of intrinsic noise in pulsar timing residual data is of crucial importance for Gravitational Wave (GW) detection and pulsar timing (astro)physics in general. The noise budget in pulsars is a collection of several well studied…

Instrumentation and Methods for Astrophysics · Physics 2016-05-04 Justin Ellis , Neil Cornish

In this work we review the application of the theory of Gaussian processes to the modeling of noise in pulsar-timing data analysis, and we derive various useful and optimized representations for the likelihood expressions that are needed in…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Rutger van Haasteren , Michele Vallisneri

It is crucial for robots to be aware of the presence of constraints in order to acquire safe policies. However, explicitly specifying all constraints in an environment can be a challenging task. State-of-the-art constraint inference…

Robotics · Computer Science 2024-03-06 Dimitris Papadimitriou , Daniel S. Brown

The availability of data from multiple heterogeneous environments has motivated methods that remain reliable under distributional shifts. When the joint distribution of response and predictors varies across environments, the response may…

Methodology · Statistics 2026-04-29 Ruqian Zhang , Juan Shen , Yijiao Zhang

This paper addresses the problem of fault diagnosis in multistation assembly systems. Fault diagnosis is to identify process faults that cause the excessive dimensional variation of the product using dimensional measurements. For such…

Applications · Statistics 2022-10-31 Jihoon Chung , Bo Shen , Zhenyu , Kong

Before autonomous systems can be deployed in safety-critical applications, we must be able to understand and verify the safety of these systems. For cases where the risk or cost of real-world testing is prohibitive, we propose a…

Robotics · Computer Science 2023-09-18 Charles Dawson , Chuchu Fan

Aeroengine performance is determined by temperature and pressure profiles along various axial stations within an engine. Given limited sensor measurements both along and between axial stations, we require a statistically principled approach…

Computational Engineering, Finance, and Science · Computer Science 2021-12-21 Pranay Seshadri , Andrew Duncan , George Thorne , Geoffrey Parks , Raul Vazquez Diaz , Mark Girolami

Accuracy and generalization capabilities are key objectives when learning dynamical system models. To obtain such models from limited data, current works exploit prior knowledge and assumptions about the system. However, the fusion of…

Machine Learning · Statistics 2025-08-22 Björn Volkmann , Jan-Hendrik Ewering , Michael Meindl , Simon F. G. Ehlers , Thomas Seel

Inverse problems can be described as limited-data problems in which the signal of interest cannot be observed directly. A physics-based forward model that relates the signal with the observations is typically needed. Unfortunately, unknown…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Alexandra Koulouri , Ville Rimpilainen

Bayesian inference applied to microseismic activity monitoring allows the accurate location of microseismic events from recorded seismograms and the estimation of the associated uncertainties. However, the forward modelling of these…

We present and discuss a new approach increasing by orders of magnitude the speed of performing Bayesian inference and parameter estimation within the framework of slow-roll inflation. The method relies on the determination of an effective…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-03 Christophe Ringeval

We present a Bayesian model calibration framework for inferring nonlinear constitutive relationships in heat conduction problems, with a focus on temperature-dependent thermal conductivity. The proposed framework integrates gradient-based…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Rodrigo L. S. Silva , Clemens Verhoosel , Erik Quarghebeur

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

The tilted-wave interferometer is a promising technique for the development of a reference measurement system for the highly accurate form measurement of aspheres and freeform surfaces. The technique combines interferometric measurements,…

High-intensity laser systems present unique measurement and optimization challenges due to their high complexity, low repetition rates, and shot-to-shot variations. We discuss recent developments towards a unified framework based on…

Optics · Physics 2025-06-06 A. Döpp , C. Eberle , J. Esslinger , S. Howard , F. Irshad , J. Schroeder , N. Weisse , S. Karsch

Inference for mechanistic models is challenging because of nonlinear interactions between model parameters and a lack of identifiability. Here we focus on a specific class of mechanistic models, which we term stable differential equations.…

Computation · Statistics 2017-12-13 Philip Maybank , Ingo Bojak , Richard G. Everitt

The paper proposes a method of damage detection in elastic materials, which is based on analyzing the time-dependent (dynamic) response of the material excited by an acoustic signal. A case study is presented consisting of experimental…

Signal Processing · Electrical Eng. & Systems 2019-12-24 Michael Oberguggenberger , Martin Schwarz

Despite enormous progress in object detection and classification, the problem of incorporating expected contextual relationships among object instances into modern recognition systems remains a key challenge. In this work we propose…

Computer Vision and Pattern Recognition · Computer Science 2017-01-11 Ehsan Jahangiri , Erdem Yoruk , Rene Vidal , Laurent Younes , Donald Geman

We present a new approach to the electromagnetic inverse problem that explicitly addresses the ambiguity associated with its ill-posed character. Rather than calculating a single ``best'' solution according to some criterion, our approach…

Neurons and Cognition · Quantitative Biology 2007-05-23 David M. Schmidt , John S. George , C. C. Wood

Motivated by the noisy and fluctuating behavior of current quantum computing devices, this paper presents a data-driven characterization approach for estimating transition frequencies and decay times in a Lindbladian dynamical model of a…