Thermal ratchets are Brownian models where time correlated nonequilibrium fluctuations interacting with a spatially asymmetric potential are sufficient conditions to give rise to rectified transport. The nonequilibriu...
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Thermal ratchets are Brownian models where time correlated nonequilibrium fluctuations interacting with a spatially asymmetric potential are sufficient conditions to give rise to rectified transport. The nonequilibrium fluctuations act as a source of negentropy (physical information). Data compression techniques are used here to quantify the transfer of information in thermal ratchet motion. (C) 2003 Elsevier B.V. All rights reserved.
Thermal ratchets are Brownian models where time correlated nonequilibrium fluctuations interacting with a spatially asymmetric potential are sufficient conditions to give rise to rectified transport. The nonequilibriu...
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Thermal ratchets are Brownian models where time correlated nonequilibrium fluctuations interacting with a spatially asymmetric potential are sufficient conditions to give rise to rectified transport. The nonequilibrium fluctuations act as a source of negentropy (physical information). Data compression techniques are used here to quantify the transfer of information in thermal ratchet motion. (C) 2003 Elsevier B.V. All rights reserved.
A new blind identification method based on signal subspace estimation is proposed. With the dispersive CDMA channel modeled as a multiple-input multipleoutput signal model, the impulse response of the multiuser's ...
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ISBN:
(纸本)0780377028
A new blind identification method based on signal subspace estimation is proposed. With the dispersive CDMA channel modeled as a multiple-input multipleoutput signal model, the impulse response of the multiuser's channels can be identified without training sequences. The method characterizes parallel processing and lower algorithmic complexity, hence it is suitable for high-rate CDMA communication system. The computational requirement of the algorithm is o(N-2), N being the size of the covariance matrix. The algorithm is locally convergent and the undesired stationary points are unstable. Monte-carlo simulations demonstrate the performance of the proposed methods in a channel identification context.
Different aspects of the predictability problem in dynamical systems are reviewed. The deep relation among Lyapunov exponents, Kolmogorov-Sinai entropy, Shannon entropy and algorithmic complexity is discussed. In part...
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Different aspects of the predictability problem in dynamical systems are reviewed. The deep relation among Lyapunov exponents, Kolmogorov-Sinai entropy, Shannon entropy and algorithmic complexity is discussed. In particular, we emphasize how a characterization of the unpredictability of a system gives a measure of its complexity. Adopting this point of view, we review some developments in the characterization of the predictability of systems showing different kinds of complexity: from low-dimensional systems to high-dimensional ones with spatio-temporal chaos and to fully developed turbulence. A special attention is devoted to finite-time and finite-resolution effects on predictability, which can be accounted with suitable generalization of the standard indicators. The problems involved in systems with intrinsic randomness is discussed, with emphasis on the important problems of distinguishing chaos from noise and of modeling the system. The characterization of irregular behavior in systems with discrete phase space is also considered. (C) 2002 Elsevier Science B.V. All rights reserved.
The paper is devoted to the analysis of digitized sequences of real numbers and discrete strings, by means of the concepts of entropy and complexity. Special attention is paid to the random character of these quantiti...
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The paper is devoted to the analysis of digitized sequences of real numbers and discrete strings, by means of the concepts of entropy and complexity. Special attention is paid to the random character of these quantities and their fluctuation spectrum. As applications, we discuss neural spike-trains and DNA sequences. We consider a given sequence as one realization of finite length of certain random process. The other members of the ensemble are defined by appropriate surrogate sequences and surrogate processes. We show that n-gram entropies and the context-free grammatical complexity have to be considered as fluctuating quantities and study the corresponding distributions. Different complexity measures reveal different aspects of a sequence. Finally, we show that the diversity of the entropy (that takes small values for pseudorandom strings) and the context-free grammatical complexity (which takes large values for pseudorandom strings) give, nonetheless, consistent results by comparison of the ranking of sample sequences taken from molecular biology, neuroscience, and artificial control sequences. (C) 2002 Elsevier Science Ireland Ltd. All rights reserved.
A mixed hypergraph consists of two families of edges: the C-edges and D-edges. In a coloring, every C-edge has at least two vertices of the same color, while every D-edge has at least two vertices colored differently....
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A mixed hypergraph consists of two families of edges: the C-edges and D-edges. In a coloring, every C-edge has at least two vertices of the same color, while every D-edge has at least two vertices colored differently. The largest and smallest possible numbers of colors in a coloring are termed the upper and lower chromatic number, (chi) over bar and chi, respectively. A mixed hypergraph is called uniquely colorable if it has precisely one coloring apart from the permutation of colors. We begin a systematic study of uniquely colorable mixed hypergraphs. In particular, we show that every colorable mixed hypergraph can be embedded into some uniquely colorable mixed hypergraph;we investigate the role of uniquely colorable subhypergraphs being separators, study recursive operations (orderings and subset contractions) and unique colorings, and prove that it is NP-hard to decide whether a mixed hypergraph is uniquely colorable. We also discuss the weaker property where the mixed hypergoraph has a unique coloring with (chi) over bar colors and a unique coloring with chi colors, where (chi) over bar > chi. The class of these "weakly uniquely colorable" mixed hypergraphs contains all uniquely colorable graphs in the usual sense. (C) 2002 Elsevier Science B.V. All rights reserved.
This paper is a survey of concepts and results related to simple Kolmogorov complexity, prefix complexity and resource-bounded complexity, We also consider a new type of complexity-statistical complexity closely relat...
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This paper is a survey of concepts and results related to simple Kolmogorov complexity, prefix complexity and resource-bounded complexity, We also consider a new type of complexity-statistical complexity closely related to mathematical statistics, Unlike other discoverers of algorithmic complexityt. A. N. Kolmogorov's leading motive was developing on its basis a mathematical theory more adequately substantiating applications of probability theory, mathematical statistics and information theory, Kolmogorov wanted to deduce properties of a random object from its complexity characteristics without use of the notion of probability, In the first part of this paper me present several results in this direction. Though the subsequent development of algorithmic complexity and randomness tvas different, algorithmic complexity has successful applications in a traditional probabilistic framework, In the second part of the paper me consider applications to the estimation of parameters and the definition of Bernoulli sequences. All considerations have finite combinatorial character.
Some basic issues in the statistical mechanics of learning from examples are reviewed. The approach of statistical physics is contrasted with the analysis of learning within the framework of mathematical statistics an...
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Some basic issues in the statistical mechanics of learning from examples are reviewed. The approach of statistical physics is contrasted with the analysis of learning within the framework of mathematical statistics and the question of the algorithmic complexity of explicit learning prescriptions is addressed. Even in very simple learning scenarios, the typical properties of which can be analyzed in great quantitative detail by methods from statistical mechanics, the determination of a suitable hypothesis approximating the target rule may be an NP-complete problem. Some special learning setups are suggested as model systems for the comparison between the approaches of statistical mechanics and computer science to the theory of computationally hard problems. (C) 2001 Elsevier Science B.V. All rights reserved.
We define the notion of rational presentation of a complete metric space, in order to study metric spaces from the algorithmic complexity point of view. In this setting, we study some representations of the space C[0,...
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We define the notion of rational presentation of a complete metric space, in order to study metric spaces from the algorithmic complexity point of view. In this setting, we study some representations of the space C[0, 1] of uniformly continuous real functions over [0, 1] with the usual norm: \\f\\(infinity) = Sup{\f(x)\;0 less than or equal to x less than or equal to 1}. This allows us to have a comparison of global kind between complexity notions attached to these presentations. In particular, we get a generalization of Hoover's results concerning the Weierstrass approximation theorem in polynomial time. We get also a generalization of previous results on analytic functions which are computable in polynomial time. (C) 2001 Elsevier Science B.V. All rights reserved.
We discuss a Neural Network model generating activation signals for locomotion in ants. The signals are chaotic and so are the temporal patterns of spontaneous activations in single ants. Active ants are able to move ...
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We discuss a Neural Network model generating activation signals for locomotion in ants. The signals are chaotic and so are the temporal patterns of spontaneous activations in single ants. Active ants are able to move and interact with other nest mates. This process of movement-interaction generates periodic pulses of activity once the number of individuals reaches a certain density value. An algorithmic complexity measure is used for identifying accurately the transition from chaos into order. Finally, an Iterated Function System analysis reveals the richness of dynamical behavior that emerges when ant colonies are self-poised near such a transition.
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