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In game theory and artificial intelligence, decision making models often involve maximizing expected utility, which does not respect ordinal invariance. In this paper, the author discusses the possibility of preserving ordinal invariance…

Artificial Intelligence · Computer Science 2010-06-14 Ji Han

Morphisms, structure preserving maps, are everywhere in Mathematics as useful tools for thinking and problem solving, or as objects to study. Here, we argue that the idea of operations being compatible across two domains goes beyond its…

History and Overview · Mathematics 2025-06-11 Attila Egri-Nagy , Miklós Hoffmann

When analysing quantum information processing protocols one has to deal with large entangled systems, each consisting of many subsystems. To make this analysis feasible, it is often necessary to identify some additional structure. de…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Renato Renner

Continuous reasoning has proven effective in incrementally analysing changes in application codebases within Continuous Integration/Continuous Deployment (CI/CD) software release pipelines. In this article, we present a novel declarative…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-23 Stefano Forti , Antonio Brogi

Distributed systems, such as biological and artificial neural networks, process information via complex interactions engaging multiple subsystems, resulting in high-order patterns with distinct properties across scales. Investigating how…

Information Theory · Computer Science 2025-04-23 Aaron J. Gutknecht , Fernando E. Rosas , David A. Ehrlich , Abdullah Makkeh , Pedro A. M. Mediano , Michael Wibral

A system's apparent simplicity depends on whether it is represented classically or quantally. This is not so surprising, as classical and quantum physics are descriptive frameworks built on different assumptions that capture, emphasize, and…

Quantum Physics · Physics 2016-03-01 Cina Aghamohammadi , John R. Mahoney , James P. Crutchfield

The evolution of the utilization of technologies in nearly all aspects of life has produced an enormous amount of data essential in a smart city. Therefore, maximizing the benefits of technologies such as cloud computing, fog computing, and…

Cryptography and Security · Computer Science 2020-01-20 Abdulwahab Alazeb , Brajendra Panda

Stochastic orders are very useful tool to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system of used components performs better (worse) than a used coherent system with respect to…

Applications · Statistics 2016-01-20 Nil Kamal Hazra , Asok K. Nanda

The reliability and proper function of data-driven applications hinge on the data's continued conformance to the applications' initial design. When data deviates from this initial profile, system behavior becomes unpredictable. Data…

Databases · Computer Science 2021-01-05 Anna Fariha , Ashish Tiwari , Arjun Radhakrishna , Sumit Gulwani , Alexandra Meliou

Any agent that is part of the environment it interacts with and has versatile actuators (such as arms and fingers), will in principle have the ability to self-modify -- for example by changing its own source code. As we continue to create…

Artificial Intelligence · Computer Science 2016-05-11 Tom Everitt , Daniel Filan , Mayank Daswani , Marcus Hutter

A complex system is a system composed of many interacting parts, often called agents, which displays collective behavior that does not follow trivially from the behaviors of the individual parts. Examples include condensed matter systems,…

Statistical Mechanics · Physics 2011-12-08 M. E. J. Newman

Algorithms are ways of mapping problems to solutions. An algorithm is invertible precisely when this mapping is injective, such that the initial problem can be uniquely inferred from its solution. While invertible algorithms can be…

Programming Languages · Computer Science 2022-12-08 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

The use of persistently exciting data has recently been popularized in the context of data-driven analysis and control. Such data have been used to assess system theoretic properties and to construct control laws, without using a system…

Optimization and Control · Mathematics 2020-01-14 Henk J. van Waarde , Jaap Eising , Harry L. Trentelman , M. Kanat Camlibel

A reason maintenance system which extends an ATMS through Mukaidono's fuzzy logic is described. It supports a problem solver in situations affected by incomplete information and vague data, by allowing nonmonotonic inferences and the…

Artificial Intelligence · Computer Science 2013-03-26 B. Fringuelli , S. Marcugini , A. Milani , S. Rivoira

The possibility to save and process information in fundamentally indistinguishable states is the quantum mechanical resource that is not encountered in classical computing. I demonstrate that, if energy constraints are imposed, this…

Quantum Physics · Physics 2018-02-14 N. A. Sinitsyn

Indirect reciprocity is a mechanism by which individuals cooperate with those who have cooperated with others. This creates a regime in which repeated interactions are not necessary to incent cooperation (as would be required for direct…

Populations and Evolution · Quantitative Biology 2023-08-08 Victor Vikram Odouard , Michael Holton Price

We propose an information-topological framework in which cycle closure is the fundamental mechanism of memory and consciousness. Memory is not a static store but the ability to re-enter latent cycles in neural state space, with invariant…

Neural and Evolutionary Computing · Computer Science 2025-09-29 Xin Li

Adversarial examples resulting from instability of current computer vision models are an extremely important topic due to their potential to compromise any application. In this paper we demonstrate that instability is inevitable due to a)…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Oliver Turnbull , George Cevora

We examine the notion of anticonfinement and the role it has to play in the singularity analysis of discrete systems. A singularity is said to be anticonfined if singular values continue to arise indefinitely for the forward and backward…

Mathematical Physics · Physics 2017-11-17 Takafumi Mase , Ralph Willox , Alfred Ramani , Basil Grammaticos

Machine-learning technologies for learning dynamical systems from data play an important role in engineering design. This research focuses on learning continuous linear models from data. Stability, a key feature of dynamic systems, is…

Machine Learning · Computer Science 2023-01-25 Pawan Goyal , Igor Pontes Duff , Peter Benner
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