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Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. In this work, the processes are governed by the overdamped Langevin equation. Such processes spend much of…

Numerical Analysis · Mathematics 2012-09-04 Gideon Simpson , Mitchell Luskin

In this thesis, we answer several questions about the behaviour of prover-verifier interactions under parallel repetition when quantum information is allowed, and the verifier acts independently in them. We first consider the case in which…

Quantum Physics · Physics 2012-03-23 Abel Molina

We apply a recently developed adaptive algorithm that systematically improves the efficiency of parallel tempering or replica exchange methods in the numerical simulation of small proteins. Feedback iterations allow us to identify an…

Quantitative Methods · Quantitative Biology 2007-05-23 Simon Trebst , Matthias Troyer , Ulrich H. E. Hansmann

This article introduces a model for interacting vertex-reinforced random walks, each taking values on a complete sub-graph of a locally finite undirected graph. The transition probability for a walk to a given vertex depends on the…

Probability · Mathematics 2025-08-25 Fernando P. A. Prado , Rafael A. Rosales

The parallel computational complexity of the quadratic map is studied. A parallel algorithm is described that generates typical pseudotrajectories of length t in a time that scales as log t and increases slowly in the accuracy demanded of…

Chaotic Dynamics · Physics 2015-06-26 J. Machta

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

For the last thirty years, several Dynamic Memory Managers (DMMs) have been proposed. Such DMMs include first fit, best fit, segregated fit and buddy systems. Since the performance, memory usage and energy consumption of each DMM differs,…

Neural and Evolutionary Computing · Computer Science 2024-07-16 José L. Risco-Martín , David Atienza , J. Manuel Colmenar , Oscar Garnica

Behavior Trees (BTs) have become a popular framework for designing controllers of autonomous agents in the computer game and in the robotics industry. One of the key advantages of BTs lies in their modularity, where independent modules can…

Robotics · Computer Science 2021-08-25 Michele Colledanchise , Lorenzo Natale

Solving multiscale diffusion problems is often computationally expensive due to the spatial and temporal discretization challenges arising from high-contrast coefficients. To address this issue, a partially explicit temporal splitting…

Numerical Analysis · Mathematics 2026-02-26 Yating Wang , Zhengya Yang , Wing Tat Leung

Sequential recommendation predicts users' next behaviors with their historical interactions. Recommending with longer sequences improves recommendation accuracy and increases the degree of personalization. As sequences get longer, existing…

Information Retrieval · Computer Science 2022-09-05 Qianying Lin , Wen-Ji Zhou , Yanshi Wang , Qing Da , Qing-Guo Chen , Bing Wang

Parallel self-assembly is an efficient approach to accelerate the assembly process for modular robots. However, these approaches cannot accommodate complicated environments with obstacles, which restricts their applications. This paper…

Robotics · Computer Science 2024-03-19 Lianxin Zhang , Yihan Huang , Zhongzhong Cao , Yang Jiao , Huihuan Qian

This paper presents a comparative analysis of distributed training strategies for large-scale neural networks, focusing on data parallelism, model parallelism, and hybrid approaches. We evaluate these strategies on image classification…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-01 Vishnu Vardhan Baligodugula , Fathi Amsaad

Transformer achieves promising results on various tasks. However, self-attention suffers from quadratic memory requirements with respect to the sequence length. Existing work focuses on reducing time and space complexity from an algorithm…

Machine Learning · Computer Science 2022-05-24 Shenggui Li , Fuzhao Xue , Chaitanya Baranwal , Yongbin Li , Yang You

The Parareal algorithm is used to solve time-dependent problems considering multiple solvers that may work in parallel. The key feature is a initial rough approximation of the solution that is iteratively refined by the parallel solvers. We…

Systems and Control · Computer Science 2014-02-18 Loïc Michel

This paper presents a novel quantum walk approach to simulating parton showers on a quantum computer. We demonstrate that the quantum walk paradigm offers a natural and more efficient approach to simulating parton showers on quantum…

High Energy Physics - Phenomenology · Physics 2022-09-07 Simon Williams , Sarah Malik , Michael Spannowsky , Khadeejah Bepari

We have developed a parallel algorithm that allows us to enumerate the number of self-avoiding polygons on the square lattice to perimeter length 110. We have also extended the series for the first 10 area-weighted moments and the radius of…

Statistical Mechanics · Physics 2009-11-10 Iwan Jensen

Gradient descent, and coordinate descent in particular, are core tools in machine learning and elsewhere. Large problem instances are common. To help solve them, two orthogonal approaches are known: acceleration and parallelism. In this…

Optimization and Control · Mathematics 2018-08-16 Richard Cole , Yixin Tao

In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

The widespread 'deeper is better' philosophy has driven the creation of architectures like ResNet and Transformer, which achieve high performance by stacking numerous layers. However, increasing model depth comes with challenges such as…

Machine Learning · Computer Science 2026-02-25 Wei Wang , Xiao-Yong Wei , Qing Li
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