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Fault tolerance overhead of high performance computing (HPC) applications is becoming critical to the efficient utilization of HPC systems at large scale. HPC applications typically tolerate fail-stop failures by checkpointing. Another…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-22 Erlin Yao , Mingyu Chen , Rui Wang , Wenli Zhang , Guangming Tan

We consider reversible and surjective cellular automata perturbed with noise. We show that, in the presence of positive additive noise, the cellular automaton forgets all the information regarding its initial configuration exponentially…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-21 Siamak Taati

Environmental noise (e.g.heat, ionized particles, etc.) causes transient faults in hardware, which lead to corruption of stored values. Mission-critical devices require such faults to be mitigated by fault-tolerance --- a combination of…

Cryptography and Security · Computer Science 2014-10-28 Filippo Del Tedesco , David Sands , Alejandro Russo

Induction motors are one of the most crucial electrical equipment and are extensively used in industries in a wide range of applications. This paper presents a machine learning model for the fault detection and classification of induction…

Machine Learning · Computer Science 2024-09-17 Kavana Venkatesh , Neethi M

This paper presents a taxonomy that allows defining the fault tolerance regimes fail-operational, fail-degraded, and fail-safe in the context of automotive systems. Fault tolerance regimes such as these are widely used in recent…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Torben Stolte , Stefan Ackermann , Robert Graubohm , Inga Jatzkowski , Björn Klamann , Hermann Winner , Markus Maurer

Cellular automata are capable of developing complex behaviors based on simple local interactions between their elements. Some of these characteristics have been used to propose and improve meta-heuristics for global optimization; however,…

In principle a 1D array of nearest-neighbour linked qubits is compatible with fault tolerant quantum computing. However such a restricted topology necessitates a large overhead for shuffling qubits and consequently the fault tolerance…

Quantum Physics · Physics 2018-06-12 Ying Li , Simon C. Benjamin

We propose a probabilistic cellular automata model for the spread of innovations, rumors, news, etc. in a social system. The local rule used in the model is outertotalistic, and the range of interaction can vary. When the range R of the…

adap-org · Physics 2008-02-03 Henryk Fuks , Nino Boccara

We study a non-ergodic one-dimensional probabilistic cellular automata, where each component can assume the states $\+$ and $\-.$ We obtained the limit distribution for a set of measures on $\{\+,\-\}^\Z.$ Also, we show that for certain…

Mathematical Physics · Physics 2014-12-15 A. D. Ramos

An active approach to fault tolerance is essential for robot swarms to achieve long-term autonomy. Previous efforts have focused on responding to spontaneous electro-mechanical faults and failures. However, many faults occur gradually over…

Robotics · Computer Science 2025-10-10 James O'Keeffe

Fault-tolerant deep learning accelerator is the basis for highly reliable deep learning processing and critical to deploy deep learning in safety-critical applications such as avionics and robotics. Since deep learning is known to be…

Hardware Architecture · Computer Science 2023-12-22 Qing Zhang , Cheng Liu , Bo Liu , Haitong Huang , Ying Wang , Huawei Li , Xiaowei Li

We investigate one-dimensional Probabilistic Cellular Automata, called Diploid Elementary Cellular Automata (DECA), obtained as random mixture of two different Elementary Cellular Automata rules. All the cells are updated synchronously and…

Statistical Mechanics · Physics 2021-04-28 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

The design of time-independent local Hamiltonians that realise quantum algorithms is derived from the study of perfect state transfer. The novel features of this evolution are the perfect realisation of the computation, and the ability to…

Quantum Physics · Physics 2016-11-28 Alastair Kay

We investigate the low-noise regime of a large class of probabilistic cellular automata, including the North-East-Center model of A. Toom. They are defined as stochastic perturbations of cellular automata with a binary state space and a…

Mathematical Physics · Physics 2013-12-13 Lise Ponselet

This article introduces new tools to study self-organisation in a family of simple cellular automata which contain some particle-like objects with good collision properties (coalescence) in their time evolution. We draw an initial…

Dynamical Systems · Mathematics 2018-06-05 Benjamin Hellouin de Menibus , Mathieu Sablik

Given a finite set of local constraints, we seek a cellular automaton (i.e., a local and uniform algorithm) that self-stabilises on the configurations that satisfy these constraints. More precisely, starting from a finite perturbation of a…

Cellular Automata and Lattice Gases · Physics 2023-06-22 Nazim Fatès , Irène Marcovici , Siamak Taati

Finite cellular automata (FCA) are widely used in simulating nonlinear complex systems, and their reversibility is closely related to information loss during the evolution. However, only a relatively small portion of their reversibility…

Cellular Automata and Lattice Gases · Physics 2024-11-04 Chen Wang , Junchi Ma , Chao Wang , Defu Lin , Weilin Chen

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…

Machine Learning · Computer Science 2021-10-28 Daniele Grattarola , Lorenzo Livi , Cesare Alippi

We have previously (quant-ph/9608012) shown that for quantum memories and quantum communication, a state can be transmitted over arbitrary distances with error $\epsilon$ provided each gate has error at most $c\epsilon$. We discuss a…

Quantum Physics · Physics 2008-02-03 E. Knill , R. Laflamme , W. Zurek

Emergent processes in complex systems such as cellular automata can perform computations of increasing complexity, and could possibly lead to artificial evolution. Such a feat would require scaling up current simulation sizes to allow for…

Cellular Automata and Lattice Gases · Physics 2021-04-05 Hugo Cisneros , Josef Sivic , Tomas Mikolov