A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = Sigma(t)(i=0) L(i)x(qi) over F(q)n. The expected time complexity of the presented algorithm is O (nt) oper...
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A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = Sigma(t)(i=0) L(i)x(qi) over F(q)n. The expected time complexity of the presented algorithm is O (nt) operations in F(q)n.
Proximity searches become very difficult on "high dimensional" metric spaces, that is, those whose histogram of distances has a large mean and/or a small variance. This so-called "curse of dimensionalit...
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Proximity searches become very difficult on "high dimensional" metric spaces, that is, those whose histogram of distances has a large mean and/or a small variance. This so-called "curse of dimensionality", well known in vector spaces, is also observed in metric spaces. The search complexity grows sharply with the dimension and with the search radius. We present a general probabilistic framework applicable to any search algorithm and whose net effect is to reduce the search radius. The higher the dimension, the more effective the technique. We illustrate empirically its practical performance on a particular class of algorithms, where large improvements in the search time are obtained at the cost of a very small error probability. (C) 2002 Elsevier Science B.V All rights reserved.
Chord progressions are the building blocks from which tonal music is constructed. The choice of a particular representation for chords has a strong impact on statistical modeling of the dependence between chord symbol...
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Chord progressions are the building blocks from which tonal music is constructed. The choice of a particular representation for chords has a strong impact on statistical modeling of the dependence between chord symbols and the actual sequences of notes in polyphonic music. Melodic prediction is used in this paper as a benchmark task to evaluate the quality of four chord representations using two probabilistic model architectures derived from Input/Output Hidden Markov Models (IOHMMs). Likelihoods and conditional and unconditional prediction error rates are used as complementary measures of the quality of each of the proposed chord representations. We observe empirically that different chord representations are optimal depending on the chosen evaluation metric. Also, representing chords only by their roots appears to be a good compromise in most of the reported experiments. (C) 2009 Elsevier B.V. All rights reserved.
In this paper, we are going to answer the following question: assuming that we have estimates for the epipolar geometry and its uncertainty between two views, how probable is it that a new, independent point pair will...
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In this paper, we are going to answer the following question: assuming that we have estimates for the epipolar geometry and its uncertainty between two views, how probable is it that a new, independent point pair will satisfy the true epipolar geometry and be, in this sense, a feasible candidate correspondence pair? If we knew the true fundamental matrix, the answer would be trivial but in reality we do not know it because of estimation errors. So, as an independent point in the first view is given, we will show we may compute the point-probability-density function, termed as the epipolar pdf, for the epipolar line points in the second view that describes the current level of knowledge of the epipolar geometry between the views. This point-point-probability-density relation is a probabilistic form of the epipolar constraint that also approaches the true point-line relation as the number of training correspondences tends to infinity. In this paper, we will also show that the eigenvectors of the epipolar line covariance matrix have certain interpretations on the image plane, of which one is the previously observed, narrowest point of the epipolar envelope. The results of this paper are important since the uncertainty of the epipolar constraint can be now taken into account in a sound way in applications. (c) 2006 Elsevier B.V. All rights reserved.
In this paper we revisit the computation and visualization of equivalents to isocontours in uncertain scalar fields. We model uncertainty by discrete random fields and, in contrast to previous methods, also take arbit...
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In this paper we revisit the computation and visualization of equivalents to isocontours in uncertain scalar fields. We model uncertainty by discrete random fields and, in contrast to previous methods, also take arbitrary spatial correlations into account. Starting with joint distributions of the random variables associated to the sample locations, we compute level crossing probabilities for cells of the sample grid. This corresponds to computing the probabilities that the well-known symmetry-reduced marching cubes cases occur in random field realizations. For Gaussian random fields, only marginal density functions that correspond to the vertices of the considered cell need to be integrated. We compute the integrals for each cell in the sample grid using a Monte Carlo method. The probabilistic ansatz does not suffer from degenerate cases that usually require case distinctions and solutions of ill-conditioned problems. Applications in 2D and 3D, both to synthetic and real data from ensemble simulations in climate research, illustrate the influence of spatial correlations on the spatial distribution of uncertain isocontours.
We revisit the deadlock-prevention problem by focusing on priority digraphs instead of the traditional wait-for digraphs. This has allowed us to formulate deadlock prevention in terms of prohibiting the occurrence of ...
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We revisit the deadlock-prevention problem by focusing on priority digraphs instead of the traditional wait-for digraphs. This has allowed us to formulate deadlock prevention in terms of prohibiting the occurrence of directed cycles even in the most general of wait models (the so-called AND-OR model, in which prohibiting wait-for directed cycles is generally overly restrictive). For a particular case in which the priority digraphs are somewhat simplified, we introduce a Las Vegas probabilistic mechanism for resource granting and analyze its key aspects in detail. (c) 2013 Wiley Periodicals, Inc. NETWORKS, Vol. 63(2), 203-210 2014
Frequent sequence mining is well known and well studied problem in datamining. The output of the algorithm is used in many other areas like bioinformatics, chemistry, and market basket analysis. Unfortunately, the fre...
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Frequent sequence mining is well known and well studied problem in datamining. The output of the algorithm is used in many other areas like bioinformatics, chemistry, and market basket analysis. Unfortunately, the frequent sequence mining is computationally quite expensive. In this paper, we present a novel parallel algorithm for mining of frequent sequences based on a static load-balancing. The static load-balancing is done by measuring the computational time using a probabilistic algorithm. For reasonable size of instance, the algorithms achieve speedups up to approximate to 3/4 . P where P is the number of processors. In the experimental evaluation, we show that our method performs significantly better then the current state-of-the-art methods. The presented approach is very universal: it can be used for static load-balancing of other pattern mining algorithms such as itemset/tree/graph mining algorithms.
Mobile ad hoc networks rely on the opportunistic interaction of autonomous nodes to form networks without the use of infrastructure. Given the radically decentralized nature of such networks, their potential for auton...
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Mobile ad hoc networks rely on the opportunistic interaction of autonomous nodes to form networks without the use of infrastructure. Given the radically decentralized nature of such networks, their potential for autonomous communication is significantly improved when the need for a priori consensus among the nodes is kept to a minimum. This paper addresses an issue within the domain of semantic content discovery, namely, its current reliance on the preexisting agreement between the schema of content providers and consumers. We present OntoMobil, a semantic discovery model for ad hoc networks that removes the assumption of a globally known schema and allows nodes to publish information autonomously. The model relies on the randomized dissemination and replication of metadata through a gossip protocol. Given schemas with partial similarities, the randomized metadata dissemination mechanism facilitates eventual semantic agreement and provides a substrate for the scalable discovery of content. A discovery protocol can then utilize the replicated metadata to identify content within a predictable number of hops using semantic queries. A stochastic analysis of the gossip protocol presents the different trade-offs between discoverability and replication. We evaluate the proposed model by comparing OntoMobil against a broadcast-based protocol and demonstrate that semantic discovery with proactive replication provides good scalability properties, resulting in a high discovery ratio with less overhead than a reactive nonreplicated discovery approach.
作者:
Rao, NSVOak Ridge Natl Lab
Ctr Engn Syst Adv Res Div Math & Comp Sci Intelligent Syst Sect Oak Ridge TN 37831 USA
Due to the increasing role of quickest paths for on-demand routing in computer networks, it is important to compute them faster, perhaps, by trading-off the quality for computational speed. We consider the computation...
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Due to the increasing role of quickest paths for on-demand routing in computer networks, it is important to compute them faster, perhaps, by trading-off the quality for computational speed. We consider the computation of a quickest path from a source node to a destination node for a given message size in a network with n nodes and m links each of which is specified by bandwidth and delay. Every known quickest path algorithm computes m shortest paths either directly or indirectly, and this step contributes to most of its computational complexity which is generally of the form O(m(2) + mn log n). We present a probabilistic quickest path algorithm that computes an approximate quickest path with time complexity O(pm + pn log n) by randomly selecting p less than or equal to m bandwidths at which the shortest paths are computed. We show that the delay of the computed path is close to optimal with a high probability that approaches 1 exponentially fast with respect to p/m. Simulation results indicate that this algorithm computes the optimal quickest paths with p/m < 0.1 for almost all randomly generated networks with n > 40. We also present an algorithm to compute the path-table consisting of these approximate quickest paths with the same time complexity of 0(pm + pn log n). (C) 2003 Elsevier B.V. All rights reserved.
We propose a probabilistic algorithm to solve the problem of distributed broadcast. A simple diffusion algorithm is introduced, and its reliability is evaluated. The cost and reliability of the probabilistic algorithm...
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We propose a probabilistic algorithm to solve the problem of distributed broadcast. A simple diffusion algorithm is introduced, and its reliability is evaluated. The cost and reliability of the probabilistic algorithm are compared with the corresponding deterministic algorithm.
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