id stringlengths 9 16 | title stringlengths 4 278 | categories listlengths 1 13 | abstract stringlengths 3 4.08k | filtered_category_membership dict |
|---|---|---|---|---|
math/0509325 | On $Z_{2^k}$-Dual Binary Codes | [
"math.CO",
"cs.IT",
"math.IT"
] | A new generalization of the Gray map is introduced. The new generalization $\Phi: Z_{2^k}^n \to Z_{2}^{2^{k-1}n}$ is connected with the known generalized Gray map $\phi$ in the following way: if we take two dual linear $Z_{2^k}$-codes and construct binary codes from them using the generalizations $\phi$ and $\Phi$ of t... | {
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math/0509358 | On decomposability of 4-ary distance 2 MDS codes, double-codes, and
n-quasigroups of order 4 | [
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"math.IT"
] | A subset $S$ of $\{0,1,...,2t-1\}^n$ is called a $t$-fold MDS code if every line in each of $n$ base directions contains exactly $t$ elements of $S$. The adjacency graph of a $t$-fold MDS code is not connected if and only if the characteristic function of the code is the repetition-free sum of the characteristic functi... | {
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math/0509575 | Evolutionary Trees and the Ising Model on the Bethe Lattice: a Proof of
Steel's Conjecture | [
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"cs.DS",
"math.CA",
"math.CO",
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] | A major task of evolutionary biology is the reconstruction of phylogenetic trees from molecular data. The evolutionary model is given by a Markov chain on a tree. Given samples from the leaves of the Markov chain, the goal is to reconstruct the leaf-labelled tree. It is well known that in order to reconstruct a tree ... | {
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math/0509620 | On diameter perfect constant-weight ternary codes | [
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"math.IT"
] | From cosets of binary Hamming codes we construct diameter perfect constant-weight ternary codes with weight $n-1$ (where $n$ is the code length) and distances 3 and 5. The class of distance 5 codes has parameters unknown before. Keywords: constant-weight codes, ternary codes, perfect codes, diameter perfect codes, perf... | {
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math/0510276 | An algorithmic and a geometric characterization of Coarsening At Random | [
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] | We show that the class of conditional distributions satisfying the coarsening at Random (CAR) property for discrete data has a simple and robust algorithmic description based on randomized uniform multicovers: combinatorial objects generalizing the notion of partition of a set. However, the complexity of a given CAR me... | {
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math/0510521 | On surrogate loss functions and $f$-divergences | [
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"stat.TH"
] | The goal of binary classification is to estimate a discriminant function $\gamma$ from observations of covariate vectors and corresponding binary labels. We consider an elaboration of this problem in which the covariates are not available directly but are transformed by a dimensionality-reducing quantizer $Q$. We prese... | {
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math/0512263 | Metric and probabilistic information associated with Fredholm integral
equations of the first kind | [
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"cs.IT",
"math.IT"
] | The problem of evaluating the information associated with Fredholm integral equations of the first kind, when the integral operator is self-adjoint and compact, is considered here. The data function is assumed to be perturbed gently by an additive noise so that it still belongs to the range of the operator. First we es... | {
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math/0602070 | The Matrix-Forest Theorem and Measuring Relations in Small Social Groups | [
"math.CO",
"cs.IR",
"math.AG"
] | We propose a family of graph structural indices related to the Matrix-forest theorem. The properties of the basic index that expresses the mutual connectivity of two vertices are studied in detail. The derivative indices that measure "dissociation," "solitariness," and "provinciality" of vertices are also considered. A... | {
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math/0602171 | Preference fusion when the number of alternatives exceeds two: indirect
scoring procedures | [
"math.OC",
"cs.MA",
"math.CO"
] | We consider the problem of aggregation of incomplete preferences represented by arbitrary binary relations or incomplete paired comparison matrices. For a number of indirect scoring procedures we examine whether or not they satisfy the axiom of self-consistent monotonicity. The class of {\em win-loss combining scoring ... | {
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math/0602505 | MDL Convergence Speed for Bernoulli Sequences | [
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"cs.IT",
"cs.LG",
"math.IT",
"math.PR",
"stat.TH"
] | The Minimum Description Length principle for online sequence estimation/prediction in a proper learning setup is studied. If the underlying model class is discrete, then the total expected square loss is a particularly interesting performance measure: (a) this quantity is finitely bounded, implying convergence with pro... | {
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math/0602522 | Characterizations of scoring methods for preference aggregation | [
"math.OC",
"cs.MA",
"math.FA"
] | The paper surveys more than forty characterizations of scoring methods for preference aggregation and contains one new result. A general scoring operator is {\it self-consistent} if alternative $i$ is assigned a greater score than $j$ whenever $i$ gets no worse (better) results of comparisons and its `opponents' are as... | {
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math/0602552 | From Incomplete Preferences to Ranking via Optimization | [
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"math.CO"
] | We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices. This incomplete case remains practically unexplored so far. We examine the prope... | {
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math/0603155 | Vers une commande multivariable sans mod\`ele | [
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"cs.RO",
"physics.class-ph"
] | A control strategy without any precise mathematical model is derived for linear or nonlinear systems which are assumed to be finite-dimensional. Two convincing numerical simulations are provided. | {
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math/0604233 | Generalization error bounds in semi-supervised classification under the
cluster assumption | [
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] | We consider semi-supervised classification when part of the available data is unlabeled. These unlabeled data can be useful for the classification problem when we make an assumption relating the behavior of the regression function to that of the marginal distribution. Seeger (2000) proposed the well-known "cluster assu... | {
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math/0605498 | Cross-Entropic Learning of a Machine for the Decision in a Partially
Observable Universe | [
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"cs.NE",
"cs.RO",
"math.ST",
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] | Revision of the paper previously entitled "Learning a Machine for the Decision in a Partially Observable Markov Universe" In this paper, we are interested in optimal decisions in a partially observable universe. Our approach is to directly approximate an optimal strategic tree depending on the observation. This approxi... | {
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math/0605740 | Sharp thresholds for high-dimensional and noisy recovery of sparsity | [
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"math.IT",
"stat.TH"
] | The problem of consistently estimating the sparsity pattern of a vector $\betastar \in \real^\mdim$ based on observations contaminated by noise arises in various contexts, including subset selection in regression, structure estimation in graphical models, sparse approximation, and signal denoising. We analyze the behav... | {
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math/0606315 | Bayesian Regression of Piecewise Constant Functions | [
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] | We derive an exact and efficient Bayesian regression algorithm for piecewise constant functions of unknown segment number, boundary location, and levels. It works for any noise and segment level prior, e.g. Cauchy which can handle outliers. We derive simple but good estimates for the in-segment variance. We also propos... | {
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math/0606643 | Entropy And Vision | [
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"cs.DM",
"cs.LG",
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] | In vector quantization the number of vectors used to construct the codebook is always an undefined problem, there is always a compromise between the number of vectors and the quantity of information lost during the compression. In this text we present a minimum of Entropy principle that gives solution to this compromis... | {
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math/0606734 | Codes in spherical caps | [
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"math.IT"
] | We consider bounds on codes in spherical caps and related problems in geometry and coding theory. An extension of the Delsarte method is presented that relates upper bounds on the size of spherical codes to upper bounds on codes in caps. Several new upper bounds on codes in caps are derived. Applications of these bound... | {
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math/0607243 | An active curve approach for tomographic reconstruction of binary
radially symmetric objects | [
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"cs.CV"
] | This paper deals with a method of tomographic reconstruction of radially symmetric objects from a single radiograph, in order to study the behavior of shocked material. The usual tomographic reconstruction algorithms such as generalized inverse or filtered back-projection cannot be applied here because data are very no... | {
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math/0607507 | In-Degree and PageRank of Web pages: Why do they follow similar power
laws? | [
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] | The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree. This paper presents a novel mathematical model that explains this phenomenon. The relation between the PageRank and In-Degree is modelled through ... | {
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math/0607648 | Singular Values and Eigenvalues of Tensors: A Variational Approach | [
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"math.NA",
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] | We propose a theory of eigenvalues, eigenvectors, singular values, and singular vectors for tensors based on a constrained variational approach much like the Rayleigh quotient for symmetric matrix eigenvalues. These notions are particularly useful in generalizing certain areas where the spectral theory of matrices has ... | {
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math/0608522 | Graph Laplacians and their convergence on random neighborhood graphs | [
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] | Given a sample from a probability measure with support on a submanifold in Euclidean space one can construct a neighborhood graph which can be seen as an approximation of the submanifold. The graph Laplacian of such a graph is used in several machine learning methods like semi-supervised learning, dimensionality reduct... | {
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math/0608556 | On optimal quantization rules for some problems in sequential
decentralized detection | [
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] | We consider the design of systems for sequential decentralized detection, a problem that entails several interdependent choices: the choice of a stopping rule (specifying the sample size), a global decision function (a choice between two competing hypotheses), and a set of quantization rules (the local decisions on the... | {
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math/0608571 | Intensional Models for the Theory of Types | [
"math.LO",
"cs.AI"
] | In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general models and have a natural definition. As a class they do not validate the axiom of Extensionality. We give a cut-free sequent calculus for type the... | {
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math/0608713 | Occam's hammer: a link between randomized learning and multiple testing
FDR control | [
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"stat.TH"
] | We establish a generic theoretical tool to construct probabilistic bounds for algorithms where the output is a subset of objects from an initial pool of candidates (or more generally, a probability distribution on said pool). This general device, dubbed "Occam's hammer'', acts as a meta layer when a probabilistic bound... | {
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math/0609461 | Cross-Entropy method: convergence issues for extended implementation | [
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"math.ST",
"stat.TH"
] | The cross-entropy method (CE) developed by R. Rubinstein is an elegant practical principle for simulating rare events. The method approximates the probability of the rare event by means of a family of probabilistic models. The method has been extended to optimization, by considering an optimal event as a rare event. CE... | {
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math/0609562 | On quadratic residue codes and hyperelliptic curves | [
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] | A long standing problem has been to develop "good" binary linear codes to be used for error-correction. This paper investigates in some detail an attack on this problem using a connection between quadratic residue codes and hyperelliptic curves. One question which coding theory is used to attack is: Does there exist a ... | {
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math/0610184 | Adaptive Poisson disorder problem | [
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"cs.IT",
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"math.ST",
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] | We study the quickest detection problem of a sudden change in the arrival rate of a Poisson process from a known value to an unknown and unobservable value at an unknown and unobservable disorder time. Our objective is to design an alarm time which is adapted to the history of the arrival process and detects the disord... | {
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math/0611422 | Cartes auto-organis\'{e}es pour l'analyse exploratoire de donn\'{e}es et
la visualisation | [
"math.ST",
"cs.NE",
"nlin.AO",
"stat.TH"
] | This paper shows how to use the Kohonen algorithm to represent multidimensional data, by exploiting the self-organizing property. It is possible to get such maps as well for quantitative variables as for qualitative ones, or for a mixing of both. The contents of the paper come from various works by SAMOS-MATISSE member... | {
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math/0611433 | Working times in atypical forms of employment: the special case of
part-time work | [
"math.ST",
"cs.NE",
"stat.TH"
] | In the present article, we attempt to devise a typology of forms of part-time employment by applying a widely used neuronal methodology called Kohonen maps. Starting out with data that we describe using category-specific variables, we show how it is possible to represent observations and the modalities of the variables... | {
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math/0611937 | Remarks on Inheritance Systems | [
"math.LO",
"cs.AI"
] | We try a conceptual analysis of inheritance diagrams, first in abstract terms, and then compare to "normality" and the "small/big sets" of preferential and related reasoning. The main ideas are about nodes as truth values and information sources, truth comparison by paths, accessibility or relevance of information by p... | {
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math/0612046 | On the Submodularity of Influence in Social Networks | [
"math.PR",
"cs.GT",
"cs.SI"
] | We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where the nodes are individuals and the edges indicate a form of social relationship. A simple way to model the diffusion of ideas, innovative beh... | {
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math/0612682 | Convergence Speed in Distributed Consensus and Control | [
"math.OC",
"cs.SY"
] | We study the convergence speed of distributed iterative algorithms for the consensus and averaging problems, with emphasis on the latter. We first consider the case of a fixed communication topology. We show that a simple adaptation of a consensus algorithm leads to an averaging algorithm. We prove lower bounds on the ... | {
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math/0701131 | Compressed Sensing and Redundant Dictionaries | [
"math.PR",
"cs.IT",
"math.IT"
] | This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a deterministic dictionary, has small restricted isometry constants. Thus, signals ... | {
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math/0701142 | On the use of self-organizing maps to accelerate vector quantization | [
"math.ST",
"cs.NE",
"stat.TH"
] | Self-organizing maps (SOM) are widely used for their topology preservation property: neighboring input vectors are quantified (or classified) either on the same location or on neighbor ones on a predefined grid. SOM are also widely used for their more classical vector quantization property. We show in this paper that u... | {
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math/0701144 | Statistical tools to assess the reliability of self-organizing maps | [
"math.ST",
"cs.NE",
"stat.TH"
] | Results of neural network learning are always subject to some variability, due to the sensitivity to initial conditions, to convergence to local minima, and, sometimes more dramatically, to sampling variability. This paper presents a set of tools designed to assess the reliability of the results of Self-Organizing Maps... | {
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math/0701145 | Bootstrap for neural model selection | [
"math.ST",
"cs.NE",
"stat.TH"
] | Bootstrap techniques (also called resampling computation techniques) have introduced new advances in modeling and model evaluation. Using resampling methods to construct a series of new samples which are based on the original data set, allows to estimate the stability of the parameters. Properties such as convergence a... | {
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math/0701152 | Missing values : processing with the Kohonen algorithm | [
"math.ST",
"cs.NE",
"stat.TH"
] | The processing of data which contain missing values is a complicated and always awkward problem, when the data come from real-world contexts. In applications, we are very often in front of observations for which all the values are not available, and this can occur for many reasons: typing errors, fields left unanswered... | {
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math/0701261 | Tracking Stopping Times Through Noisy Observations | [
"math.ST",
"cs.IT",
"math.IT",
"stat.TH"
] | A novel quickest detection setting is proposed which is a generalization of the well-known Bayesian change-point detection model. Suppose \{(X_i,Y_i)\}_{i\geq 1} is a sequence of pairs of random variables, and that S is a stopping time with respect to \{X_i\}_{i\geq 1}. The problem is to find a stopping time T with res... | {
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math/0701419 | Strategies for prediction under imperfect monitoring | [
"math.ST",
"cs.LG",
"stat.TH"
] | We propose simple randomized strategies for sequential prediction under imperfect monitoring, that is, when the forecaster does not have access to the past outcomes but rather to a feedback signal. The proposed strategies are consistent in the sense that they achieve, asymptotically, the best possible average reward. I... | {
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math/0701791 | Linear versus Non-linear Acquisition of Step-Functions | [
"math.CA",
"cs.CV"
] | We address in this paper the following two closely related problems: 1. How to represent functions with singularities (up to a prescribed accuracy) in a compact way? 2. How to reconstruct such functions from a small number of measurements? The stress is on a comparison of linear and non-linear approaches. As a mo... | {
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math/0702116 | A Direct Matrix Method for Computing Analytical Jacobians of Discretized
Nonlinear Integro-differential Equations | [
"math.NA",
"cs.CE"
] | In this pedagogical article, we present a simple direct matrix method for analytically computing the Jacobian of nonlinear algebraic equations that arise from the discretization of nonlinear integro-differential equations. The method is based on a formulation of the discretized equations in vector form using only matri... | {
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math/0702301 | Information-theoretic limits on sparsity recovery in the
high-dimensional and noisy setting | [
"math.ST",
"cs.IT",
"math.IT",
"stat.TH"
] | The problem of recovering the sparsity pattern of a fixed but unknown vector $\beta^* \in \real^p based on a set of $n$ noisy observations arises in a variety of settings, including subset selection in regression, graphical model selection, signal denoising, compressive sensing, and constructive approximation. Of inter... | {
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math/0702804 | The Loss Rank Principle for Model Selection | [
"math.ST",
"cs.LG",
"stat.ME",
"stat.ML",
"stat.TH"
] | We introduce a new principle for model selection in regression and classification. Many regression models are controlled by some smoothness or flexibility or complexity parameter c, e.g. the number of neighbors to be averaged over in k nearest neighbor (kNN) regression or the polynomial degree in regression with polyno... | {
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math/0702866 | Consumer Profile Identification and Allocation | [
"math.ST",
"cs.NE",
"stat.TH"
] | We propose an easy-to-use methodology to allocate one of the groups which have been previously built from a complete learning data base, to new individuals. The learning data base contains continuous and categorical variables for each individual. The groups (clusters) are built by using only the continuous variables an... | {
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math/0703019 | Reading policies for joins: An asymptotic analysis | [
"math.PR",
"cs.DB"
] | Suppose that $m_n$ observations are made from the distribution $\mathbf {R}$ and $n-m_n$ from the distribution $\mathbf {S}$. Associate with each pair, $x$ from $\mathbf {R}$ and $y$ from $\mathbf {S}$, a nonnegative score $\phi(x,y)$. An optimal reading policy is one that yields a sequence $m_n$ that maximizes $\mathb... | {
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math/9310227 | A linear construction for certain Kerdock and Preparata codes | [
"math.CO",
"cs.IT",
"math.IT"
] | The Nordstrom-Robinson, Kerdock, and (slightly modified) Pre\- parata codes are shown to be linear over $\ZZ_4$, the integers $\bmod~4$. The Kerdock and Preparata codes are duals over $\ZZ_4$, and the Nordstrom-Robinson code is self-dual. All these codes are just extended cyclic codes over $\ZZ_4$. This provides a simp... | {
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math/9508219 | New results on binary linear codes | [
"math.CO",
"cs.IT",
"math.IT"
] | This research announcement describes in very rough terms methods and a computer language under development, which can be used to prove the nonexistence of binary linear codes. Over a hundred new results have been obtained by the author. For example, there is no [29,11,10] code. The proof of this is roughly outlined. | {
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math/9801152 | On the classifiability of cellular automata | [
"math.LO",
"cs.NE"
] | Based on computer simulations Wolfram presented in several papers conjectured classifications of cellular automata into 4 types. He distinguishes the 4 classes of cellular automata by the evolution of the pattern generated by applying a cellular automaton to a finite input. Wolfram's qualitative classification is based... | {
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math/9905046 | Duality between Multidimensional Convolutional Codes and Systems | [
"math.OC",
"cs.IT",
"math.AC",
"math.AG",
"math.IT"
] | Multidimensional convolutional codes generalize (one dimensional) convolutional codes and they correspond under a natural duality to multidimensional systems widely studied in the systems literature. | {
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math/9905165 | Perception games, the image understanding and interpretational geometry | [
"math.HO",
"cs.CV"
] | The interactive game theoretical approach to the description of perception processes is proposed. The subject is treated formally in terms of a new class of the verbalizable interactive games which are called the perception games. An application of the previously elaborated formalism of dialogues and verbalizable inter... | {
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math/9909163 | Coding Theory and Uniform Distributions | [
"math.CO",
"cs.IT",
"math.IT",
"math.NT"
] | In the present paper we introduce and study finite point subsets of a special kind, called optimum distributions, in the n-dimensional unit cube. Such distributions are closely related with known (delta,s,n)-nets of low discrepancy. It turns out that optimum distributions have a rich combinatorial structure. Namely, we... | {
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math/9910062 | Efficient sphere-covering and converse measure concentration via
generalized coding theorems | [
"math.PR",
"cs.IT",
"math.FA",
"math.IT"
] | Suppose A is a finite set equipped with a probability measure P and let M be a ``mass'' function on A. We give a probabilistic characterization of the most efficient way in which A^n can be almost-covered using spheres of a fixed radius. An almost-covering is a subset C_n of A^n, such that the union of the spheres cent... | {
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math/9910149 | Rational points, genus and asymptotic behaviour in reduced algebraic
curves over finite fields | [
"math.AG",
"cs.IT",
"math.IT",
"math.NT"
] | The number A(q) shows the asymptotic behaviour of the quotient of the number of rational points over the genus of non-singular absolutely irreducible curves over a finite field Fq. Research on bounds for A(q) is closely connected with the so-called asymptotic main problem in Coding Theory. In this paper, we study some ... | {
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math/9910151 | Decoding Algebraic Geometry codes by a key equation | [
"math.AG",
"cs.IT",
"math.IT",
"math.NA"
] | A new effective decoding algorithm is presented for arbitrary algebraic-geometric codes on the basis of solving a generalized key equation with the majority coset scheme of Duursma. It is an improvement of Ehrhard's algorithm, since the method corrects up to the half of the Goppa distance with complexity order O(n**2.8... | {
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math/9910155 | Computing Weierstrass semigroups and the Feng-Rao distance from singular
plane models | [
"math.AG",
"cs.IT",
"math.IT",
"math.NA"
] | We present an algorithm to compute the Weierstrass semigroup at a point P together with functions for each value in the semigroup, provided P is the only branch at infinity of a singular plane model for the curve. As a byproduct, the method also provides us with a basis for the spaces L(mP) and the computation of the F... | {
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math/9910175 | Polynomial method in coding and information theory | [
"math.CO",
"cs.IT",
"math.IT"
] | Polynomial, or Delsarte's, method in coding theory accounts for a variety of structural results on, and bounds on the size of, extremal configurations (codes and designs) in various metric spaces. In recent works of the authors the applicability of the method was extended to cover a wider range of problems in coding an... | {
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math/9911025 | On the parameters of Algebraic Geometry codes related to Arf semigroups | [
"math.NT",
"cs.IT",
"math.AG",
"math.IT"
] | In this paper we compute the order (or Feng-Rao) bound on the minimum distance of one-point algebraic geometry codes, when the Weierstrass semigroup at the point Q is an Arf semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to those. | {
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nlin/0001057 | Numerical Replication of Computer Simulations: Some Pitfalls and How To
Avoid Them | [
"nlin.AO",
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] | A computer simulation, such as a genetic algorithm, that uses IEEE standard floating-point arithmetic may not produce exactly the same results in two different runs, even if it is rerun on the same computer with the same input and random number seeds. Researchers should not simply assume that the results from one run r... | {
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nlin/0002040 | The dynamics of iterated transportation simulations | [
"nlin.AO",
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] | Iterating between a router and a traffic micro-simulation is an increasibly accepted method for doing traffic assignment. This paper, after pointing out that the analytical theory of simulation-based assignment to-date is insufficient for some practical cases, presents results of simulation studies from a real world st... | {
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nlin/0006025 | Information Bottlenecks, Causal States, and Statistical Relevance Bases:
How to Represent Relevant Information in Memoryless Transduction | [
"nlin.AO",
"cond-mat.dis-nn",
"cs.LG",
"physics.data-an"
] | Discovering relevant, but possibly hidden, variables is a key step in constructing useful and predictive theories about the natural world. This brief note explains the connections between three approaches to this problem: the recently introduced information-bottleneck method, the computational mechanics approach to inf... | {
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nlin/0109019 | Olfactory search at high Reynolds number | [
"nlin.CD",
"cs.RO",
"nlin.AO",
"physics.bio-ph"
] | Locating the source of odor in a turbulent environment - a common behavior for living organisms - is non-trivial because of the random nature of mixing. Here we analyze the statistical physics aspects of the problem and propose an efficient strategy for olfactory search which can work in turbulent plumes. The algorithm... | {
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nlin/0202038 | On model selection and the disability of neural networks to decompose
tasks | [
"nlin.AO",
"cond-mat.dis-nn",
"cs.NE"
] | A neural network with fixed topology can be regarded as a parametrization of functions, which decides on the correlations between functional variations when parameters are adapted. We propose an analysis, based on a differential geometry point of view, that allows to calculate these correlations. In practise, this desc... | {
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nlin/0202039 | A neural model for multi-expert architectures | [
"nlin.AO",
"cond-mat.dis-nn",
"cs.NE"
] | We present a generalization of conventional artificial neural networks that allows for a functional equivalence to multi-expert systems. The new model provides an architectural freedom going beyond existing multi-expert models and an integrative formalism to compare and combine various techniques of learning. (We consi... | {
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nlin/0204038 | Neutrality: A Necessity for Self-Adaptation | [
"nlin.AO",
"cs.NE",
"q-bio"
] | Self-adaptation is used in all main paradigms of evolutionary computation to increase efficiency. We claim that the basis of self-adaptation is the use of neutrality. In the absence of external control neutrality allows a variation of the search distribution without the risk of fitness loss. | {
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nlin/0210041 | Simple Model for the Dynamics of Correlations in the Evolution of
Economic Entities Under Varying Economic Conditions | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.CE",
"physics.soc-ph"
] | From some observations on economic behaviors, in particular changing economic conditions with time and space, we develop a very simple model for the evolution of economic entities within a geographical type of framework. We raise a few questions and attempt to investigate whether some of them can be tackled by our mode... | {
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nlin/0211010 | Evolution and anti-evolution in a minimal stock market model | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.MA",
"q-fin.TR"
] | We present a novel microscopic stock market model consisting of a large number of random agents modeling traders in a market. Each agent is characterized by a set of parameters that serve to make iterated predictions of two successive returns. The future price is determined according to the offer and the demand of all ... | {
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nlin/0211013 | A Spin Glass Model of Human Logic Systems | [
"nlin.AO",
"cond-mat.dis-nn",
"cs.MA"
] | In this paper, we discuss different models for human logic systems and describe a game with nature. G\"odel`s incompleteness theorem is taken into account to construct a model of logical networks based on axioms obtained by symmetry breaking. These classical logic networks are then coupled using rules that depend on wh... | {
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nlin/0211024 | Exploring the cooperative regimes in a model of agents without memory or
"tags": indirect reciprocity vs. selfish incentives | [
"nlin.AO",
"cond-mat",
"cs.CE",
"hep-lat",
"nlin.CG",
"physics.soc-ph"
] | The self-organization in cooperative regimes in a simple mean-field version of a model based on "selfish" agents which play the Prisoner's Dilemma (PD) game is studied. The agents have no memory and use strategies not based on direct reciprocity nor 'tags'. Two variables are assigned to each agent $i$ at time $t$, meas... | {
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nlin/0212030 | The structure of evolutionary exploration: On crossover, buildings
blocks and Estimation-Of-Distribution Algorithms | [
"nlin.AO",
"cs.NE",
"q-bio"
] | The notion of building blocks can be related to the structure of the offspring probability distribution: loci of which variability is strongly correlated constitute a building block. We call this correlated exploration. With this background we analyze the structure of the offspring probability distribution, or explorat... | {
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nlin/0304006 | Determining possible avenues of approach using ANTS | [
"nlin.AO",
"cs.AI"
] | Threat assessment is an important part of level 3 data fusion. Here we study a subproblem of this, worst-case risk assessment. Inspired by agent-based models used for simulation of trail formation for urban planning, we use ant colony optimization (ANTS) to determine possible avenues of approach for the enemy, given a ... | {
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nlin/0306055 | A Model for Prejudiced Learning in Noisy Environments | [
"nlin.AO",
"cs.LG"
] | Based on the heuristics that maintaining presumptions can be beneficial in uncertain environments, we propose a set of basic axioms for learning systems to incorporate the concept of prejudice. The simplest, memoryless model of a deterministic learning rule obeying the axioms is constructed, and shown to be equivalent ... | {
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nlin/0309039 | Self-organizing Traffic Control: First Results | [
"nlin.AO",
"cs.MA"
] | We developed a virtual laboratory for traffic control where agents use different strategies in order to self-organize on the road. We present our first results where we compare the performance and behaviour promoted by environmental constrains and five different simple strategies: three inspired in flocking behaviour, ... | {
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nlin/0312056 | Shannon information, LMC complexity and Renyi entropies: a
straightforward approach | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.IT",
"math.IT",
"nlin.CD",
"physics.comp-ph",
"q-bio.QM"
] | The LMC complexity, an indicator of complexity based on a probabilistic description, is revisited. A straightforward approach allows us to establish the time evolution of this indicator in a near-equilibrium situation and gives us a new insight for interpreting the LMC complexity for a general non equilibrium system. I... | {
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nlin/0402046 | Spontaneous Emergence of Complex Optimal Networks through Evolutionary
Adaptation | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.MA",
"nlin.CG",
"q-bio.QM"
] | An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation in which we show how the structure and organization of a network is related to ... | {
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nlin/0404004 | Protocol Requirements for Self-organizing Artifacts: Towards an Ambient
Intelligence | [
"nlin.AO",
"cs.AI"
] | We discuss which properties common-use artifacts should have to collaborate without human intervention. We conceive how devices, such as mobile phones, PDAs, and home appliances, could be seamlessly integrated to provide an "ambient intelligence" that responds to the user's desires without requiring explicit programmin... | {
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nlin/0404032 | Metrics for more than two points at once | [
"nlin.AO",
"cond-mat.other",
"cs.LG",
"math.GM"
] | The conventional definition of a topological metric over a space specifies properties that must be obeyed by any measure of "how separated" two points in that space are. Here it is shown how to extend that definition, and in particular the triangle inequality, to concern arbitrary numbers of points. Such a measure of h... | {
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nlin/0407032 | Application of Artificial Neural Network in Jitter Analysis of
Dispersion-Managed Communication System | [
"nlin.PS",
"cs.AI",
"cs.NA"
] | Artificial Neural Network (ANN) is used as numerical methode in solving modified Nonlinear Schroedinger (NLS) equation with Dispersion Managed System (DMS) for jitter analysis. We take the optical axis z and the time t as input, and then some relevant values such as the change of position and the center frequency of th... | {
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nlin/0408007 | Entropy Maximization as a Holistic Design Principle for Complex Optimal
Networks and the Emergence of Power Laws | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.IT",
"math.IT",
"q-bio.QM"
] | We present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that the underlying organizing principle is to meet an overall performance target fo... | {
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nlin/0408039 | Stability and Diversity in Collective Adaptation | [
"nlin.AO",
"cs.LG",
"math.DS",
"nlin.CD",
"stat.ML"
] | We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally achieves the best action and memory loss that leads to randomized behavior. We show tha... | {
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nlin/0408040 | Notes on information geometry and evolutionary processes | [
"nlin.AO",
"cs.NE"
] | In order to analyze and extract different structural properties of distributions, one can introduce different coordinate systems over the manifold of distributions. In Evolutionary Computation, the Walsh bases and the Building Block Bases are often used to describe populations, which simplifies the analysis of evolutio... | {
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nlin/0409013 | Epistemic communities: description and hierarchic categorization | [
"nlin.AO",
"cs.IR"
] | Social scientists have shown an increasing interest in understanding the structure of knowledge communities, and particularly the organization of "epistemic communities", that is groups of agents sharing common knowledge concerns. However, most existing approaches are based only on either social relationships or semant... | {
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nlin/0411063 | Detecting synchronization in spatially extended discrete systems by
complexity measurements | [
"nlin.CG",
"cond-mat.dis-nn",
"cs.MA",
"math.DS",
"nlin.PS",
"q-bio.QM"
] | The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns generated by the difference automaton. This singular behavior is verified to be p... | {
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nlin/0411066 | Self-Organizing Traffic Lights | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.AI",
"cs.MA"
] | Steering traffic in cities is a very complex task, since improving efficiency involves the coordination of many actors. Traditional approaches attempt to optimize traffic lights for a particular density and configuration of traffic. The disadvantage of this lies in the fact that traffic densities and configurations cha... | {
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nlin/0505043 | A network analysis of committees in the United States House of
Representatives | [
"nlin.AO",
"cs.MA",
"math.ST",
"physics.data-an",
"physics.soc-ph",
"stat.TH"
] | Network theory provides a powerful tool for the representation and analysis of complex systems of interacting agents. Here we investigate the United States House of Representatives network of committees and subcommittees, with committees connected according to ``interlocks'' or common membership. Analysis of this netwo... | {
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nlin/0506061 | Transmitting a signal by amplitude modulation in a chaotic network | [
"nlin.CD",
"cond-mat.stat-mech",
"cs.NE"
] | We discuss the ability of a network with non linear relays and chaotic dynamics to transmit signals, on the basis of a linear response theory developed by Ruelle \cite{Ruelle} for dissipative systems. We show in particular how the dynamics interfere with the graph topology to produce an effective transmission network, ... | {
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nlin/0508006 | Metamimetic Games : Modeling Metadynamics in Social Cognition | [
"nlin.AO",
"cs.MA",
"nlin.CG"
] | Imitation is fundamental in the understanding of social system dynamics. But the diversity of imitation rules employed by modelers proves that the modeling of mimetic processes cannot avoid the traditional problem of endogenization of all the choices, including the one of the mimetic rules. Starting from the remark tha... | {
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nlin/0509007 | Lattices for Dynamic, Hierarchic & Overlapping Categorization: the Case
of Epistemic Communities | [
"nlin.AO",
"cs.AI",
"cs.DL",
"cs.IR"
] | We present a method for hierarchic categorization and taxonomy evolution description. We focus on the structure of epistemic communities (ECs), or groups of agents sharing common knowledge concerns. Introducing a formal framework based on Galois lattices, we categorize ECs in an automated and hierarchically structured ... | {
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} |
nlin/0511015 | Combinatorial Approach to Object Analysis | [
"nlin.AO",
"cs.LG"
] | We present a perceptional mathematical model for image and signal analysis. A resemblance measure is defined, and submitted to an innovating combinatorial optimization algorithm. Numerical Simulations are also presented | {
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nlin/0512048 | Modeling Endogenous Social Networks: the Example of Emergence and
Stability of Cooperation without Refusal | [
"nlin.AO",
"cond-mat.other",
"cs.GT",
"cs.MA",
"cs.OH",
"q-bio.OT",
"q-bio.PE"
] | Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a sequential prisoner's dilemma with binary choice. It proposes an analytical and computati... | {
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} |
nlin/0605029 | Three Logistic Models for the Ecological and Economic Interactions:
Symbiosis, Predator-Prey and Competition | [
"nlin.AO",
"cs.MA",
"math.DS"
] | If one isolated species (corporation) is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species (corporations) can be expressed by a coupled system of two discrete logistic equations. As three basic relationships between two species are present in Nature, namely... | {
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} |
nlin/0609033 | Fame Emerges as a Result of Small Memory | [
"nlin.AO",
"cs.CY",
"cs.MA",
"physics.soc-ph"
] | A dynamic memory model is proposed in which an agent ``learns'' a new agent by means of recommendation. The agents can also ``remember'' and ``forget''. The memory size is decreased while the population size is kept constant. ``Fame'' emerged as a few agents become very well known in expense of the majority being compl... | {
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} |
nlin/0609038 | From Neuron to Neural Networks dynamics | [
"nlin.AO",
"cond-mat.dis-nn",
"cs.NE"
] | This paper presents an overview of some techniques and concepts coming from dynamical system theory and used for the analysis of dynamical neural networks models. In a first section, we describe the dynamics of the neuron, starting from the Hodgkin-Huxley description, which is somehow the canonical description for the ... | {
"Other": 0,
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} |
nlin/0610040 | Self-organizing traffic lights: A realistic simulation | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.AI",
"physics.comp-ph",
"physics.soc-ph"
] | We have previously shown in an abstract simulation (Gershenson, 2005) that self-organizing traffic lights can improve greatly traffic flow for any density. In this paper, we extend these results to a realistic setting, implementing self-organizing traffic lights in an advanced traffic simulator using real data from a B... | {
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} |
nlin/0611044 | Why the Maxwellian Distribution is the Attractive Fixed Point of the
Boltzmann Equation | [
"nlin.CD",
"cond-mat.stat-mech",
"cs.MA",
"math.ST",
"physics.class-ph",
"stat.TH"
] | The origin of the Boltzmann factor is revisited. An alternative derivation from the microcanonical picture is given. The Maxwellian distribution in a mono-dimensional ideal gas is obtained by following this insight. Other possible applications, as for instance the obtaining of the wealth distribution in the human socie... | {
"Other": 0,
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} |
nlin/0611054 | A Model of a Trust-based Recommendation System on a Social Network | [
"nlin.AO",
"cs.IR",
"physics.soc-ph"
] | In this paper, we present a model of a trust-based recommendation system on a social network. The idea of the model is that agents use their social network to reach information and their trust relationships to filter it. We investigate how the dynamics of trust among agents affect the performance of the system by compa... | {
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} |
nlin/0702001 | Bistability: a common feature in some "aggregates" of logistic maps | [
"nlin.AO",
"cs.NE"
] | As it was argued by Anderson [Science 177, 393 (1972)], the "reductionist" hypothesis does not by any means imply a "constructionist" one. Hence, in general, the behavior of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components. Following th... | {
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} |
nlin/0703036 | Statistical User Model for the Internet Access | [
"nlin.AO",
"cond-mat.stat-mech",
"cs.MA",
"cs.NI"
] | A new statistical based model approach to characterize a user's behavior in an Internet access link is presented. The real patterns of Internet traffic in a heterogeneous Campus Network are studied. We find three clearly different patterns of individual user's behavior, study their common features and group particular ... | {
"Other": 1,
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} |
nlin/0703050 | Competition of Self-Organized Rotating Spiral Autowaves in a
Nonequilibrium Dissipative System of Three-Level Phaser | [
"nlin.CG",
"cs.NE",
"nlin.AO"
] | We present results of cellular automata based investigations of rotating spiral autowaves in a nonequilibrium excitable medium which models three-level paramagnetic microwave phonon laser (phaser). The computational model is described in arXiv:cond-mat/0410460v2 and arXiv:cond-mat/0602345v1 . We have observed several n... | {
"Other": 0,
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} |
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