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The information flow in a quantum system is a fundamental feature of its dynamics. An important class of dynamics are quantum cellular automata (QCA), systems with discrete updates invariant in time and space, for which an index theory has…

Quantum Physics · Physics 2024-02-02 Elisabeth Wagner , Ramil Nigmatullin , Alexei Gilchrist , Gavin K. Brennen

The concept of information has emerged as a language in its own right, bridging several disciplines that analyze natural phenomena and man-made systems. Integrated information has been introduced as a metric to quantify the amount of…

Neurons and Cognition · Quantitative Biology 2019-06-10 Alberto Hernández-Espinosa , Héctor Zenil , Narsis A. Kiani , Jesper Tegnér

The performance of machine learning models relies heavily on the quality of input data, yet real-world applications often face significant data-related challenges. A common issue arises when curating training data or deploying models: two…

Machine Learning · Computer Science 2025-09-24 Varun Babbar , Zhicheng Guo , Cynthia Rudin

We present a computational framework for analyzing and quantifying system flexibility. Our framework incorporates new features that include: general uncertainty characterizations that are constructed using composition of sets, procedures…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Daniel Rios , Victor M. Zavala

This work considers the problem of finding analytical expressions for the expected values of dis- tributed computing performance metrics when the underlying communication network has a complex structure. Through active probing tests a real…

Adaptation and Self-Organizing Systems · Physics 2013-11-18 Francisco Prieto-Castrillo , Antonio Astillero , María Botón-Fernández

Distributed data aggregation is an important task, allowing the decentralized determination of meaningful global properties, that can then be used to direct the execution of other applications. The resulting values result from the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-05 Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are distributed (unevenly) over an extremely large number of \nodes, but the goal remains to…

Machine Learning · Computer Science 2015-11-12 Jakub Konečný , Brendan McMahan , Daniel Ramage

Cellular automata are arrays of finite state machines that can exist in a finite number of states. These machines update their states simultaneously based on specific local rules that govern their interactions. This framework provides a…

Cellular Automata and Lattice Gases · Physics 2025-08-11 Genaro J. Martinez , Andrew Adamatzky , Guanrong Chen

Today's distributed systems operate in complex environments that inevitably involve faults and even adversarial behaviors. Predicting their performance under such environments directly from formal designs remains a longstanding challenge.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Ziwei Zhou , Si Liu , Zhou Zhou , Peixin Wang , MIn Zhang

Cellular automata represent physical systems where both space and time are discrete, and the associated physical quantities assume a limited set of values. While previous research has applied cellular automata in modeling chemical,…

Cellular Automata and Lattice Gases · Physics 2024-10-30 Temitayo Adefemi

We introduce a class of distributed nonlinear control systems, termed as the flow-tracker dynamics, which capture phenomena where the average state is controlled by the average control input, with no individual agent has direct access to…

Optimization and Control · Mathematics 2022-11-09 Behrouz Touri , Bahman Gharesifard

In multicenter biomedical research, integrating data from multiple decentralized sites provides more robust and generalizable findings due to its larger sample size and the ability to account for the between-site heterogeneity. However,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Yuchen Yang , Yifei Sun , Jiang Bian , Yanyuan Ma , Raymond J. Carroll , Yong Chen

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

Physics and Society · Physics 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

Fault-tolerant distributed algorithms are central for building reliable spatially distributed systems. Unfortunately, the lack of a canonical precise framework for fault-tolerant algorithms is an obstacle for both verification and…

Formal Languages and Automata Theory · Computer Science 2012-10-16 Annu John , Igor Konnov , Ulrich Schmid , Helmut Veith , Josef Widder

Multiscale modeling of complex systems is crucial for understanding their intricacies. Data-driven multiscale modeling has emerged as a promising approach to tackle challenges associated with complex systems. On the other hand,…

Machine Learning · Computer Science 2024-03-26 Ruyi Tao , Ningning Tao , Yi-zhuang You , Jiang Zhang

We present here a cost effective framework for a robust scalable and distributed job processing system that adapts to the dynamic computing needs easily with efficient load balancing for heterogeneous systems. The design is such that each…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Putti Srinivasrao , V. P. C. Rao , A. Govardhan , Ambika Prasad Mohanty

Flexible information routing fundamentally underlies the function of many biological and artificial networks. Yet, how such systems may specifically communicate and dynamically route information is not well understood. Here we identify a…

Adaptation and Self-Organizing Systems · Physics 2016-07-08 Christoph Kirst , Marc Timme , Demian Battaglia

Machine learning applications are increasingly deployed not only to serve predictions using static models, but also as tightly-integrated components of feedback loops involving dynamic, real-time decision making. These applications pose a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-23 Robert Nishihara , Philipp Moritz , Stephanie Wang , Alexey Tumanov , William Paul , Johann Schleier-Smith , Richard Liaw , Mehrdad Niknami , Michael I. Jordan , Ion Stoica

This paper describes an implemented system which is designed to support the deployment of applications offering distributed services, comprising a number of distributed components. This is achieved by creating high level placement and…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-24 Alan Dearle , Graham Kirby , Andrew McCarthy , Juan-Carlos Diaz y Carballo

In the first part of this paper, we present a unified framework for analyzing the algorithmic complexity of any optimization problem, whether it be continuous or discrete in nature. This helps to formalize notions like "input", "size" and…

Optimization and Control · Mathematics 2022-07-06 Amitabh Basu