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This paper concerns the parameter estimation problem for the quadratic potential energy in interacting particle systems from continuous-time and single-trajectory data. Even though such dynamical systems are high-dimensional, we show that…

Statistics Theory · Mathematics 2021-04-13 Xiaohui Chen

We consider the problem of approximate Bayesian inference in log-supermodular models. These models encompass regular pairwise MRFs with binary variables, but allow to capture high-order interactions, which are intractable for existing…

Machine Learning · Computer Science 2015-02-25 Josip Djolonga , Andreas Krause

Numerical integration and emulation are fundamental topics across scientific fields. We propose novel adaptive quadrature schemes based on an active learning procedure. We consider an interpolative approach for building a surrogate…

Computation · Statistics 2021-01-20 F. Llorente , L. Martino , V. Elvira , D. Delgado , J. López-Santiago

Motivated by problems in contact mechanics, we propose a duality approach for computing approximations and associated a posteriori error bounds to solutions of variational inequalities of the first kind. The proposed approach improves upon…

Numerical Analysis · Mathematics 2014-10-09 Zhenying Zhang , Eduard Bader , Karen Veroy

I introduce and analyse chiral light--matter interaction in the ultrastrong coupling limit where the rotating-wave approximation cannot be made. Within this limit, a two-level system (TLS) with a circularly polarized transition dipole…

Quantum Physics · Physics 2019-10-02 Sahand Mahmoodian

Matter-wave interferometers with micro-particles will enable the next generation of quantum sensors to probe minute quantum phase information. Therefore, estimating the loss of coherence and the degree of entanglement degradation for such…

Quantum Physics · Physics 2024-10-25 Martine Schut , Herre Bosma , MengZhi Wu , Marko Toroš , Sougato Bose , Anupam Mazumdar

This paper presents a Bayesian parameter estimation approach and identifiability analysis for a lithium-ion battery model, to determine the uniqueness, evaluate the sensitivity and quantify the uncertainty of a subset of the model…

Systems and Control · Electrical Eng. & Systems 2023-09-04 Antti Aitio , Scott G. Marquis , Pedro Ascencio , David Howey

We use WMAP 9-year bispectrum data to constrain the free parameters of an 'effective field theory' describing fluctuations in single-field inflation. The Lagrangian of the theory contains a finite number of operators associated with unknown…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Gemma J. Anderson , Donough Regan , David Seery

We demonstrate that a non-vanishing interaction force exists between pairs of induced dipoles in random, statistically stationary electromagnetic field. This new type of optical binding force leads to long-range interaction between dipolar…

Optics · Physics 2015-06-15 Sergey Sukhov , Kyle M. Douglass , Aristide Dogariu

The relativistic random phase approximation is applied in the analysis of the evolution of the isovector dipole response in nuclei with a large neutron excess. The self-consistent framework of relativistic mean-field theory, which has been…

Nuclear Theory · Physics 2009-11-07 D. Vretenar , N. Paar , P. Ring , G. A. Lalazissis

Diffraction-based methods have become an invaluable tool for the detailed assessment of residual strain and stress within experimental mechanics. These methods typically measure a component of the average strain within a gauge volume. It is…

Applied Physics · Physics 2019-02-25 J. N. Hendriks , C. M. Wensrich , A. Wills , V Luzin , A. W. T Gregg

We address the joint estimation of the two defining parameters of a displacement operation in phase space. In a measurement scheme based on a Gaussian probe field and two homodyne detectors, it is shown that both conjugated parameters can…

Quantum Physics · Physics 2013-01-16 M. G. Genoni , M. G. A. Paris , G. Adesso , H. Nha , P. L. Knight , M. S. Kim

When the light interacts with matters in a lossy cavity, in the standard cavity quantum electrodynamics, the dissipation of cavity fields is characterized simply by the strengths of the two couplings: the light-matter interaction and the…

Quantum Physics · Physics 2014-02-17 Motoaki Bamba , Tetsuo Ogawa

We present a general theoretical framework to capture light-matter interactions beyond the electric-dipole approximation (EDA), applicable to extended nano- and microscale materials interacting with spatially structured electric fields…

Quantum Physics · Physics 2026-03-12 Rishabh Dora , Roman Korol , Vishal Tiwari , Rahul Chourasiya , Ignacio Franco

In this paper we present a new fast and accurate method for Radial Basis Function (RBF) approximation, including interpolation as a special case, which enables us to effectively find the optimal value of the RBF shape parameter. In…

Numerical Analysis · Mathematics 2023-11-09 Roberto Cavoretto , Alessandra De Rossi , Sandro Lancellotti

We introduce a direct Boltzmann inversion method to infer the interaction potential in particle systems using as input particle configurations generated at an arbitrary state point of the system. Unlike iterative Boltzmann inversion, the…

Statistical Mechanics · Physics 2026-05-25 Olivier Coquand , Davide Paolino , Ludovic Berthier

We investigate the excitation of a three-level ladder-type atom by a unidirectional field with a pair of indistinguishable photons. Starting from an analytical expression for the two-photon absorption probability, we determine the…

Quantum Physics · Physics 2026-04-28 Masood Valipour , Gniewomir Sarbicki , Karolina Słowik , Anita Dąbrowska

In this work, we detail different approaches to treat multi-mode photonic environments within non-relativistic quantum electrodynamics in the long-wavelength approximation efficiently. Specifically we show that for equilibrium properties of…

Quantum Physics · Physics 2025-12-08 Davis M. Welakuh , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We study the problem of parameter estimation for large exchangeable interacting particle systems when a sample of discrete observations from a single particle is known. We propose a novel method based on martingale estimating functions…

Numerical Analysis · Mathematics 2024-01-30 Grigorios A. Pavliotis , Andrea Zanoni

In this paper we calculate dipole amplitude and dipole amplitude correlations using first and second equation from Balitsky-Kovchegov hierarchy. Our analysis shows that even in presence of weak dipole correlation in initial condition mean…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Abramovsky , N. V. Prikhod'ko
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