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The replicator-mutator equation is a model for populations of individuals carrying different traits, with a fitness function mediating their ability to replicate, and a stochastic model for mutation. We derive analytical solutions for the…

种群与进化 · 定量生物学 2024-12-16 Sahani Pathiraja , Philipp Wacker

We use the free evolution propagator to determine the quantum probability representation (i.e., the general expression of the tomogram) of any one-dimensional system described by a density state. The evolution operator for the considered…

Recent advancements in quantum computing (QC) and machine learning (ML) have garnered significant attention, leading to substantial efforts toward the development of quantum machine learning (QML) algorithms to address a variety of complex…

量子物理 · 物理学 2024-12-18 Samuel Yen-Chi Chen

In urgent decision making applications, ensemble simulations are an important way to determine different outcome scenarios based on currently available data. In this paper, we will analyze the output of ensemble simulations by considering…

图形学 · 计算机科学 2019-10-21 Max Kontak , Jules Vidal , Julien Tierny

New algorithms are devised for finding the maxima of multidimensional point samples, one of the very first problems studied in computational geometry. The algorithms are very simple and easily coded and modified for practical needs. The…

数据结构与算法 · 计算机科学 2009-10-09 Wei-Mei Chen , Hsien-Kuei Hwang , Tsung-Hsi Tsai

Most decision tree induction algorithms are based on a greedy top-down recursive partitioning strategy for tree growth. In this paper, we propose several methods for induction of decision trees and their ensembles based on evolutionary…

神经与进化计算 · 计算机科学 2020-02-04 Evgeny Dolotov , Nikolai Zolotykh

The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average…

量子物理 · 物理学 2007-05-23 A. S. Gevorkyan , A. A. Udalov

Conformal field theory, describing systems with scaling symmetry, plays a crucial role throughout physics. We describe a quantum algorithm to simulate the dynamics of conformal field theories, including the action of local conformal…

量子物理 · 物理学 2021-09-30 Tobias J. Osborne , Alexander Stottmeister

Diversity is an important factor in evolutionary algorithms to prevent premature convergence towards a single local optimum. In order to maintain diversity throughout the process of evolution, various means exist in literature. We analyze…

神经与进化计算 · 计算机科学 2018-10-31 Thomas Gabor , Lenz Belzner , Claudia Linnhoff-Popien

The theory of evolutionary computation for discrete search spaces has made significant progress in the last ten years. This survey summarizes some of the most important recent results in this research area. It discusses fine-grained models…

神经与进化计算 · 计算机科学 2021-11-01 Benjamin Doerr , Frank Neumann

Recently developed quantum algorithms address computational challenges in numerical analysis by performing linear algebra in Hilbert space. Such algorithms can produce a quantum state proportional to the solution of a $d$-dimensional system…

量子物理 · 物理学 2021-10-19 Andrew M. Childs , Jin-Peng Liu

Computational physics is an important tool for analysing, verifying, and -- at times -- replacing physical experiments. Nevertheless, simulating quantum systems and analysing quantum data has so far resisted an efficient classical treatment…

量子物理 · 物理学 2021-07-07 Sam McArdle

We present a simulation strategy for the real-time dynamics of quantum fields, inspired by reinforcement learning. It builds on the complex Langevin approach, which it amends with system specific prior information, a necessary prerequisite…

高能物理 - 格点 · 物理学 2023-10-13 Daniel Alvestad , Alexander Rothkopf , Dénes Sexty

In lattice QCD and other field theories with a mass gap, the field variables in distant regions of a physically large lattice are only weakly correlated. Accurate stochastic estimates of the expectation values of local observables may…

高能物理 - 格点 · 物理学 2019-11-26 Martin Lüscher

In recent years, Evolutionary Strategies were actively explored in robotic tasks for policy search as they provide a simpler alternative to reinforcement learning algorithms. However, this class of algorithms is often claimed to be…

机器人学 · 计算机科学 2021-11-10 Vladislav Kurenkov , Bulat Maksudov

Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

种群与进化 · 定量生物学 2016-03-23 Olivier Rivoire

Group convolutions and cross-correlations, which are equivariant to the actions of group elements, are commonly used in mathematics to analyze or take advantage of symmetries inherent in a given problem setting. Here, we provide efficient…

We study the theoretical capacity to statistically learn local landscape information by Evolution Strategies (ESs). Specifically, we investigate the covariance matrix when constructed by ESs operating with the selection operator alone. We…

神经与进化计算 · 计算机科学 2016-06-24 Ofer M. Shir , Jonathan Roslund , Amir Yehudayoff

Simulating thimble regularization of lattice field theory can be tricky when more than one thimble is to be taken into account. A couple of years ago we proposed a solution for this problem. More recently this solution proved to be…

高能物理 - 格点 · 物理学 2017-10-20 Francesco Di Renzo

We apply a hybrid evolutionary algorithm to minimize the depth of circuits in quantum computing. More specifically, we evaluate two different variants of the algorithm. In the first approach, we combine the evolutionary algorithm with an…

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