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In this paper, we investigate how to measure the intelligence of systems under specific structures. Two indicators are adopted to characterize the intelligence of a given structure, namely the function diversity of the structure, and the…

Adaptation and Self-Organizing Systems · Physics 2022-08-23 Wei Su

In a genetic algorithm, fluctuations of the entropy of a genome over time are interpreted as fluctuations of the information that the genome's organism is storing about its environment, being this reflected in more complex organisms. The…

Computational Engineering, Finance, and Science · Computer Science 2010-11-04 Manuel Cebrian , Manuel Alfonseca , Alfonso Ortega

Machine learning is the dominant approach to artificial intelligence, through which computers learn from data and experience. In the framework of supervised learning, a necessity for a computer to learn from data accurately and efficiently…

Machine Learning · Statistics 2023-01-25 Amir R. Asadi

Uncertainty is an important feature of dynamic systems, and entropy has been widely used to measure this attribute. In this Letter, we prove that state aggregation and decomposition can decrease and increase the entropy, respectively, of…

Information Theory · Computer Science 2022-05-18 Lirong Cui , Xiangchen Li , Narayanaswamy Balakrishnan

In nonlinear dynamics, basins of attraction link a given set of initial conditions to its corresponding final states. This notion appears in a broad range of applications where several outcomes are possible, which is a common situation in…

Shannon's entropy and other entropy-based concepts are derived from the new, more general concept of relative divergence of one "grading' function on a linearly ordered set from another such function. The definition of relative divergence…

Probability · Mathematics 2019-03-14 Alexander Dukhovny

In contemporary educational systems, academic performance indicators play a central role in institutional evaluation and in the interpretation of student trajectories. However, under conditions of rapid technological change, the inferential…

Computers and Society · Computer Science 2026-01-09 H. R. Paz

The body morphology plays an important role in the way information is perceived and processed by an agent. We address an information theory (IT) account on how the precision of sensors, the accuracy of motors, their placement, the body…

Robotics · Computer Science 2024-08-26 Alexandre Pitti , Kohei Nakajima , Yasuo Kuniyoshi

This paper introduces an objective metric for evaluating a parsing scheme. It is based on Shannon's original work with letter sequences, which can be extended to part-of-speech tag sequences. It is shown that this regular language is an…

cmp-lg · Computer Science 2008-02-03 Caroline Lyon , Stephen Brown

Incremental learning suffers from two challenging problems; forgetting of old knowledge and intransigence on learning new knowledge. Prediction by the model incrementally learned with a subset of the dataset are thus uncertain and the…

Machine Learning · Computer Science 2019-02-05 Dahyun Kim , Jihwan Bae , Yeonsik Jo , Jonghyun Choi

The evolutionary balance between innate and learned behaviors is highly intricate, and different organisms have found different solutions to this problem. We hypothesize that the emergence and exact form of learning behaviors is naturally…

Neurons and Cognition · Quantitative Biology 2023-03-14 Emmanouil Giannakakis , Sina Khajehabdollahi , Anna Levina

The scientific method relies on the iterated processes of inference and inquiry. The inference phase consists of selecting the most probable models based on the available data; whereas the inquiry phase consists of using what is known about…

Machine Learning · Statistics 2015-05-19 N. K. Malakar , K. H. Knuth

We consider online learning problems under a partial observability model capturing situations where the information conveyed to the learner is between full information and bandit feedback. In the simplest variant, we assume that in addition…

Machine Learning · Computer Science 2026-04-28 Tomas Kocak , Gergely Neu , Michal Valko , Remi Munos

The development of the works of the author about adaptive algorithms of teaching the robotic systems with the help of operator is described here. An operator is assumed to be an experience decision-maker and sane carrier of a target which…

Robotics · Computer Science 2015-09-08 Valery Vilisov

Entropic measures provide analytic tools to help us understand correlation in quantum systems. In our previous work, we calculated linear entropy and von Neumann entropy as entanglement measures for the ground state and lower lying excited…

Quantum Physics · Physics 2015-07-21 Chien-Hao Lin , Yew Kam Ho

In Reinforcement Learning (RL), agents have no incentive to exhibit predictable behaviors, and are often pushed (through e.g. policy entropy regularisation) to randomise their actions in favor of exploration. This often makes it challenging…

Machine Learning · Computer Science 2025-06-04 Daniel Jarne Ornia , Giannis Delimpaltadakis , Jens Kober , Javier Alonso-Mora

A robotic swarm that is required to operate for long periods in a potentially unknown environment can use both evolution and individual learning methods in order to adapt. However, the role played by the environment in influencing the…

Neural and Evolutionary Computing · Computer Science 2018-04-23 Andreas Steyven , Emma Hart , Ben Paechter

We study an information-theoretic measure of uncertainty for quantum systems. It is the Shannon information $I$ of the phase space probability distribution $\la z | \rho | z \ra $, where $|z \ra $ are coherent states, and $\rho$ is the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Arlen Anderson , Jonathan J. Halliwell

Recent progress in diverse intelligence has shown simple learning capacities below the organism level - single cells and even molecular networks. However, there are still many knowledge gaps around learning capacity above the organism…

Populations and Evolution · Quantitative Biology 2026-05-29 Adrita Samanta , Hananel Hazan , Michael Levin

We develop information theory for the temporal behavior of memoryful agents moving through complex -- structured, stochastic -- environments. We introduce and explore information processes -- stochastic processes produced by cognitive…

Statistical Mechanics · Physics 2025-08-04 James P. Crutchfield , Alexandra Jurgens