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We apply estimation theory to a system formed by two interacting trapped ions. By using the Fisher matrix formalism, we introduce a simple scheme for estimation of the temperature of the longitudinal vibrational modes of the ions. We use…

Quantum Physics · Physics 2022-05-26 O. P. de Sá Neto , H. A. S. Costa , G. A. Prataviera , M. C. de Oliveira

Ensuring a satisfactory statistical convergence of anharmonic thermodynamic properties requires sampling of many atomic configurations, however the methods to obtain those necessarily produce correlated samples, thereby reducing the…

Statistical Mechanics · Physics 2022-06-07 Erki Metsanurk

In this paper we develop a new general Bayesian methodology that simultaneously estimates parameters of interest and the marginal likelihood of the model. The proposed methodology builds on Simulated Tempering, which is a powerful algorithm…

Computation · Statistics 2019-06-03 Biljana Jonoska Stojkova , David A. Campbell

It has been shown that dipolar Bose-Einstein condensates that are tightly trapped along the polarization direction can feature a rich phase diagram. In this paper we show that finite temperature can assist in accessing parts of the phase…

Quantum Gases · Physics 2024-10-28 Liang-Jun He , Juan Sanchez-Baena , Fabian Maucher , Yong-Chang Zhang

Low-order thermoacoustic models are qualitatively correct, but they are typically quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low--order models quantitatively (more) accurate. First, we…

Fluid Dynamics · Physics 2022-11-10 Andrea Nóvoa , Luca Magri

Here we introduce a new design framework for synthetic biology that exploits the advantages of Bayesian model selection. We will argue that the difference between inference and design is that in the former we try to reconstruct the system…

Molecular Networks · Quantitative Biology 2015-05-27 Chris Barnes , Daniel Silk , Xia Sheng , Michael P. H. Stumpf

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

Computation · Statistics 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

The recent development of compressed sensing has led to spectacular advances in the understanding of sparse linear estimation problems as well as in algorithms to solve them. It has also triggered a new wave of developments in the related…

Information Theory · Computer Science 2016-07-05 Christophe Schülke

We study the phase diagram of a binary mixture of patchy particles which has been designed to form a reversible gel. For this we perform Monte Carlo and molecular dynamics simulations to investigate the thermodynamics of such a system and…

Soft Condensed Matter · Physics 2014-12-17 Sándalo Roldán-Vargas , Frank Smallenburg , Walter Kob , Francesco Sciortino

Time series with multiple periodically correlated components is a complex problem with comparatively limited prior research. Most existing time series models are designed to accommodate simple periodically correlated components and tend to…

Methodology · Statistics 2025-09-29 Jie Yao , Kai Zhang , Eric Rose , Edward Valachovic

In this work, we propose a two-stage algorithm based on Bayesian modeling and computation aiming at quantifying analyte concentrations or quantities in complex mixtures with Raman spectroscopy. A hierarchical Bayesian model is built for…

Applications · Statistics 2018-05-22 Ningren Han , Rajeev J. Ram

Phase transformations in metallic grain boundaries (GBs) present significant fundamental interest in the context of thermodynamics of low-dimensional physical systems. We report on atomistic computer simulations of the Cu-Ag system that…

Materials Science · Physics 2015-07-01 Timofey Frolov , Mark Asta , Yuri Mishin

We propose a statistical emulator for a climate-economy deterministic integrated assessment model ensemble, based on a functional regression framework. Inference on the unknown parameters is carried out through a mixed effects hierarchical…

Methodology · Statistics 2022-09-14 Luca Aiello , Matteo Fontana , Alessandra Guglielmi

Present knowledge of the function of materials is largely based on studies (experimental and theoretical) that are performed at low temperatures and ultra-low pressures. However, the majority of everyday applications, like e.g. catalysis,…

Materials Science · Physics 2009-11-07 Karsten Reuter , Matthias Scheffler

We provide a new efficient adaptive algorithm for performing phase estimation that does not require that the user infer the bits of the eigenphase in reverse order; rather it directly infers the phase and estimates the uncertainty in the…

Quantum Physics · Physics 2016-07-06 Nathan Wiebe , Christopher E Granade

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian…

Artificial Intelligence · Computer Science 2025-08-08 Majid Mohammadi

A general procedure is established to calculate the quantum phase diagrams for finite matter-field Hamiltonian models. The minimum energy surface associated to the different symmetries of the model is calculated as a function of the…

Quantum Physics · Physics 2021-02-03 Sergio Cordero , Eduardo Nahmad-Achar , Ramón López-Peña , Octavio Castaños

Exposure assessment models are deterministic models derived from physical-chemical laws. In real workplace settings, chemical concentration measurements can be noisy and indirectly measured. In addition, inference on important parameters…

Applications · Statistics 2018-07-09 Nada Abdalla , Sudipto Banerjee , Gurumurthy Ramachandran , Susan Arnold

Optical lattice experiments, with the unique potential of tuning interactions and density, have emerged as emulators of nontrivial theoretical models that are directly relevant for strongly correlated materials. However, so far the finite…

Superconductivity · Physics 2015-05-13 Qi Zhou , Yasuyuki Kato , Naoki Kawashima , Nandini Trivedi