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A one-dimensional cellular automaton with a probabilistic evolution rule can generate stochastic surface growth in $(1 + 1)$ dimensions. Two such discrete models of surface growth are constructed from a probabilistic cellular automaton…

统计力学 · 物理学 2015-06-25 Pratip Bhattacharyya

The octahedron model introduced recently has been implemented onto graphics cards, which permits extremely large scale simulations via binary lattice gases and bit coded algorithms. We confirm scaling behaviour belonging to the 2d…

统计力学 · 物理学 2015-03-19 Jeffrey Kelling , Géza Ódor

Restricted solid on solid surface growth models can be mapped onto binary lattice gases. We show that efficient simulation algorithms can be realized on GPUs either by CUDA or by OpenCL programming. We consider a deposition/evaporation…

计算物理 · 物理学 2015-03-17 Henrik Schulz , Géza Ódor , Gergely Ódor , Máté Ferenc Nagy

In this work we propose an accelerated stochastic learning system for very large-scale applications. Acceleration is achieved by mapping the training algorithm onto massively parallel processors: we demonstrate a parallel, asynchronous GPU…

机器学习 · 计算机科学 2017-02-24 Thomas Parnell , Celestine Dünner , Kubilay Atasu , Manolis Sifalakis , Haris Pozidis

Stochastic models of surface growth are usually based on randomly choosing a substrate site to perform iterative steps, as in the etching model [1]. In this paper I modify the etching model to perform sequential, instead of random,…

统计力学 · 物理学 2017-07-19 Bernardo A. Mello

Cellular automata (CA) are a class of computational models that exhibit rich dynamics emerging from the local interaction of cells arranged in a regular lattice. In this work we focus on a generalised version of typical CA, called graph…

机器学习 · 计算机科学 2021-10-28 Daniele Grattarola , Lorenzo Livi , Cesare Alippi

We take up the challenge of designing realistic computational models of large interacting cell populations. The goal is essentially to bring Gillespie's celebrated stochastic methodology to the level of an interacting population of cells.…

计算工程、金融与科学 · 计算机科学 2018-10-26 Stefan Engblom

The Kardar-Parisi-Zhang universality class of stochastic surface growth is studied by exact field-theoretic methods. From previous numerical results, a few qualitative assumptions are inferred. In particular, height correlations should…

凝聚态物理 · 物理学 2009-10-30 Michael Lassig

Saliency detection, finding the most important parts of an image, has become increasingly popular in computer vision. In this paper, we introduce Hierarchical Cellular Automata (HCA) -- a temporally evolving model to intelligently detect…

计算机视觉与模式识别 · 计算机科学 2017-05-29 Yao Qin , Mengyang Feng , Huchuan Lu , Garrison W. Cottrell

Neural Cellular Automata (NCAs) are a promising new approach to model self-organizing processes, with potential applications in life science. However, their deterministic nature limits their ability to capture the stochasticity of…

人工智能 · 计算机科学 2025-06-26 Salvatore Milite , Giulio Caravagna , Andrea Sottoriva

We consider Monte Carlo simulations of classical spin models of statistical mechanics using the massively parallel architecture provided by graphics processing units (GPUs). We discuss simulations of models with discrete and continuous…

计算物理 · 物理学 2012-07-20 Martin Weigel , Taras Yavors'kii

The critical behavior at the frozen/active transition in the Domany-Kinzel stochastic cellular automaton (DKCA) is studied {\it via} a surface growth process in (1+1) dimensions. At criticality, this process presents a kinetic roughening…

统计力学 · 物理学 2015-06-24 A. P. F. Atman , Ronald Dickman , J. G. Moreira

We aim to generate fine-grained 3D geometry from large-scale sparse LiDAR scans, abundantly captured by autonomous vehicles (AV). Contrary to prior work on AV scene completion, we aim to extrapolate fine geometry from unlabeled and beyond…

计算机视觉与模式识别 · 计算机科学 2024-06-13 Dongsu Zhang , Francis Williams , Zan Gojcic , Karsten Kreis , Sanja Fidler , Young Min Kim , Amlan Kar

When simulating a lattice system near its critical temperature, local algorithms for modeling the system's evolution can introduce very large autocorrelation times into sampled data. This critical slowing down places restrictions on the…

高能物理 - 格点 · 物理学 2023-03-01 Tristan Protzman , Joel Giedt

This paper proposes a new family of algorithms for training neural networks (NNs). These are based on recent developments in the field of non-convex optimization, going under the general name of successive convex approximation (SCA)…

机器学习 · 统计学 2017-06-16 Simone Scardapane , Paolo Di Lorenzo

We propose Neural Cellular Automata (NCA) to simulate the microstructure development during the solidification process in metals. Based on convolutional neural networks, NCA can learn essential solidification features, such as preferred…

材料科学 · 物理学 2023-09-08 Jian Tang , Siddhant Kumar , Laura De Lorenzis , Ehsan Hosseini

Stochastic simulation can make the molecular processes of cellular control more vivid than the traditional differential-equation approach by generating typical system histories instead of just statistical measures such as the mean and…

亚细胞过程 · 定量生物学 2018-09-18 Kevin Y. Chen , Daniel M. Zuckerman , Philip C. Nelson

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this…

统计力学 · 物理学 2009-11-10 Katsuhiro Nishinari , Minoru Fuku , Andreas Schadschneider

Stochastic computation graphs (SCGs) provide a formalism to represent structured optimization problems arising in artificial intelligence, including supervised, unsupervised, and reinforcement learning. Previous work has shown that an…

机器学习 · 计算机科学 2019-01-08 Théophane Weber , Nicolas Heess , Lars Buesing , David Silver

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

神经与进化计算 · 计算机科学 2020-05-14 Karan Nayak
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