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We study the distribution of the Schmidt coefficients of the reduced density matrix of a quantum system in a pure state. By applying general methods of statistical mechanics, we introduce a fictitious temperature and a partition function…

量子物理 · 物理学 2010-07-05 A. De Pasquale , P. Facchi , G. Parisi , S. Pascazio , A. Scardicchio

In this paper is proposed a new heuristic approach belonging to the field of evolutionary Estimation of Distribution Algorithms (EDAs). EDAs builds a probability model and a set of solutions is sampled from the model which characterizes the…

Most inverse problems from physical sciences are formulated as PDE-constrained optimization problems. This involves identifying unknown parameters in equations by optimizing the model to generate PDE solutions that closely match measured…

最优化与控制 · 数学 2024-03-12 Qin Li , Li Wang , Yunan Yang

We study the performance of a stochastic algorithm based on the power method that adaptively learns the large deviation functions characterizing the fluctuations of additive functionals of Markov processes, used in physics to model…

统计力学 · 物理学 2023-03-30 Francesco Coghi , Hugo Touchette

In this Ph.D. thesis quantum Monte Carlo methods are applied to investigate the properties of a number of ultracold quantum systems. In Chapter 1 we discuss the analytical approaches and approximations used in the subsequent Chapters; also…

量子气体 · 物理学 2013-01-10 Oleg N. Osychenko

A new adopted evolutionary algorithm is presented in this paper to solve the non-smooth, non-convex and non-linear multi-area economic dispatch (MAED). MAED includes some areas which contains its own power generation and loads. By…

其他计算机科学 · 计算机科学 2018-06-18 Mina Yazdandoost , Peyman Khazaei , Salar Saadatian , Rahim Kamali

Power systems face increasing challenges in maintaining resource adequacy due to lower operating margins, rising renewable energy uncertainty, and demand variability. Forecasting the probability distribution of peak demand on shorter…

系统与控制 · 电气工程与系统科学 2025-10-28 Buyi Yu , Wenyuan Tang

Electricity price forecasting (EPF) plays a major role for electricity companies as a fundamental entry for trading decisions or energy management operations. As electricity can not be stored, electricity prices are highly volatile which…

应用统计 · 统计学 2024-05-27 Grégoire Dutot , Margaux Zaffran , Olivier Féron , Yannig Goude

In the context of estimating material properties of porous walls based on in-site measurements and identification method, this paper presents the concept of Optimal Experiment Design (OED). It aims at searching the best experimental…

计算物理 · 物理学 2020-02-20 Julien Berger , Denys Dutykh , Nathan Mendes

We address estimation of one-parameter qubit gates in the presence of phase diffusion. We evaluate the ultimate quantum limits to precision, seek for optimal probes and measurements, and demonstrate an optimal estimation scheme for…

量子物理 · 物理学 2013-01-16 D. Brivio , S. Cialdi , S. Vezzoli , B. Teklu , M. G. Genoni , S. Olivares , M. G. A. Paris

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic…

统计金融 · 定量金融 2011-05-26 H. Quevedo , M. N. Quevedo

We calculate the exact zeros of the partition function for a continuum system where the probability distribution for the order parameter is given by two asymmetric Gaussian peaks. When the positions of the two peaks coincide, the two…

统计力学 · 物理学 2009-10-31 Julian Lee , Koo-Chul Lee

We study the problem of estimating the Earth Mover's Distance (EMD) between probability distributions when given access only to samples. We give closeness testers and additive-error estimators over domains in $[0, \Delta]^d$, with sample…

数据结构与算法 · 计算机科学 2009-04-03 Khanh Do Ba , Huy L Nguyen , Huy N Nguyen , Ronitt Rubinfeld

A novel embedded atom method (EAM) potential for the Xi-phases of Al-Pd-Mn has been determined with the force-matching method. Different combinations of analytic functions were tested for the pair and transfer part. The best results are…

材料科学 · 物理学 2012-02-09 Daniel Schopf , Peter Brommer , Benjamin Frigan , Hans-Rainer Trebin

From a dynamical viewpoint, basic phase transitions of statistical mechanics can be regarded as a breaking of ergodicity. While many random models exhibiting such transitions at the thermodynamics limit exist, finite-dimensional examples…

数学物理 · 物理学 2019-09-25 Bastien Fernandez

Probabilistic models of directed polymers in random environment have received considerable attention in recent years. Much of this attention has focused on integrable models. In this paper, we introduce some new computational tools that do…

概率论 · 数学 2021-06-08 Erik Bates , Sourav Chatterjee

In this work we propose a new algorithm for the computation of statistical equilibrium quantities on a cubic lattice when both an energy and a statistical temperature are involved. We demonstrate that the pivot algorithm used in situations…

Partially-observable Markov decision processes (POMDPs) with discounted-sum payoff are a standard framework to model a wide range of problems related to decision making under uncertainty. Traditionally, the goal has been to obtain policies…

人工智能 · 计算机科学 2018-05-01 Krishnendu Chatterjee , Adrián Elgyütt , Petr Novotný , Owen Rouillé

Efficient and accurate estimation of multivariate empirical probability distributions is fundamental to the calculation of information-theoretic measures such as mutual information and transfer entropy. Common techniques include variations…

信息论 · 计算机科学 2023-03-23 Z. Keskin

A new class of distributions based on phase-type distributions is introduced in the current paper to model lifetime data in the field of reliability analysis. This one is the natural extension of the distribution proposed by Acal et al.…

统计方法学 · 统计学 2025-01-13 Juan Eloy Ruiz-Castro , Christian Acal , Juan B. Roldán