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We analyze a system of fermions in a one-dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two…

Quantum Gases · Physics 2023-01-11 Martín D. Jiménez , Eloisa Cuestas , Ana P. Majtey , Cecilia Cormick

We present a Metropolis-Hastings Markov chain Monte Carlo (MCMC) algorithm for detecting hidden variables in a continuous time Bayesian network (CTBN), which uses reversible jumps in the sense defined by (Green 1995). In common with several…

Methodology · Statistics 2014-03-18 Blazej Miasojedow , Wojciech Niemiro , John Noble , Krzysztof Opalski

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

Statistics Theory · Mathematics 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it does not require any stability condition and is in particular…

Functional Analysis · Mathematics 2023-02-03 Bálint Farkas , Birgit Jacob , Timo Reis , Merlin Schmitz

This paper proposes a new algorithm for multiple sparse regression in high dimensions, where the task is to estimate the support and values of several (typically related) sparse vectors from a few noisy linear measurements. Our algorithm is…

Machine Learning · Statistics 2012-06-08 Ali Jalali , Sujay Sanghavi

I discuss a simple numerical algorithm for the direct evaluation of multiple Grassmann integrals. The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions. Memory requirements grow…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Creutz

We outline two methods of constructing improved composite operators using Wilson fermions.

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

Two cluster algorithms, based on constructing and flipping loops, are presented for worldline quantum Monte Carlo simulations of fermions and are tested on the one-dimensional repulsive Hubbard model. We call these algorithms the loop-flip…

Condensed Matter · Physics 2007-05-23 N. Kawashima , J. E. Gubernatis , H. G. Evertz

This paper presents aims at mobility improvement of flexible underwater robots. For this purpose, a novel propulsion method using planar structural vibration pattern is proposed, and tested on two kinds of prototypes. The result of…

Robotics · Computer Science 2016-12-02 Jun Shintake , Aiguo Ming , Makoto Shimojo

This paper addresses the challenge of a particular class of noisy state observations in Markov Decision Processes (MDPs), a common issue in various real-world applications. We focus on modeling this uncertainty through a confusion matrix…

Machine Learning · Computer Science 2023-12-15 Amirhossein Afsharrad , Sanjay Lall

Functional data registration is a necessary processing step for many applications. The observed data can be inherently noisy, often due to measurement error or natural process uncertainty, which most functional alignment methods cannot…

Methodology · Statistics 2021-06-09 J. Derek Tucker , Lyndsay Shand , Kenny Chowdhary

Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, including algorithms for stochastic dynamics or state and input…

Optimization and Control · Mathematics 2022-05-26 Dennis Gramlich , Carsten W. Scherer , Christian Ebenbauer

The pseudofermion action of the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions is modified to directly incorporate Incomplete LU (ILU) factorisation. This reduces the stochastic noise and allows a larger molecular dynamics…

High Energy Physics - Lattice · Physics 2007-05-23 Mike Peardon

Multi-Objective Evolutionary Algorithms (MOEAs) have been proved efficient to deal with Multi-objective Optimization Problems (MOPs). Until now tens of MOEAs have been proposed. The unified mode would provide a more systematic approach to…

Neural and Evolutionary Computing · Computer Science 2011-02-01 Bojin Zheng , Yuanxiang Li

Developments of nonlocal operators for modeling processes that traditionally have been described by local differential operators have been increasingly active during the last few years. One example is peridynamics for brittle materials and…

Numerical Analysis · Mathematics 2020-04-06 Xiaochuan Tian , Bjorn Engquist

We present an empirical strategy to determine the Hamiltonian dynamics of a two-qubit system using only initialization and measurement in a single fixed basis. Signal parameters are estimated from measurement data using Bayesian methods…

Quantum Physics · Physics 2009-10-01 S. G. Schirmer , D. K. L. Oi

In this paper, we give a detailed account of the algorithm outlined in [1] for Feynman integral reduction and $\varepsilon$-factorised differential equations. The algorithm consists of two steps. In the first step, we use a new geometric…

Fast Fourier transform algorithms are an arsenal of effective tools for solving various problems of analysis and high-speed processing of signals of various natures. Almost all of these algorithms are designed to process sequences of…

Data Structures and Algorithms · Computer Science 2025-04-11 Aleksandr Cariow

We study bosonic atoms with two internal states in artificial gauge potentials whose strengths are different for the two components. A series of topological phases for such systems is proposed using the composite fermion theory and the…

Quantum Gases · Physics 2016-08-03 Ying-Hai Wu , Tao Shi

Cluster algorithms have been recently used to eliminate sign problems that plague Monte-Carlo methods in a variety of systems. In particular such algorithms can also be used to solve sign problems associated with the permutation of fermion…

High Energy Physics - Lattice · Physics 2015-06-25 Shailesh Chandrasekharan