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Title: Metric Embedding for Nearest Neighbor Classification |
Abstract: The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the problem of embedding arbitrary metric spaces into a Euclidean space wit... |
Title: On probabilities for separating sets of order statistics |
Abstract: Consider a set of order statistics that arise from sorting samples from two different populations, each with their own, possibly different distribution function. The probability that these order statistics fall in disjoint, ordered intervals, and that of the smallest statistics, a certain number come from the... |
Title: A Collection of Definitions of Intelligence |
Abstract: This paper is a survey of a large number of informal definitions of ``intelligence'' that the authors have collected over the years. Naturally, compiling a complete list would be impossible as many definitions of intelligence are buried deep inside articles and books. Nevertheless, the 70-odd definitions pres... |
Title: Scale-sensitive Psi-dimensions: the Capacity Measures for Classifiers Taking Values in R^Q |
Abstract: Bounds on the risk play a crucial role in statistical learning theory. They usually involve as capacity measure of the model studied the VC dimension or one of its extensions. In classification, such "VC dimensions" exist for models taking values in 0, 1, 1,..., Q and R. We introduce the generalizations appro... |
Title: Distributions associated with general runs and patterns in hidden Markov models |
Abstract: This paper gives a method for computing distributions associated with patterns in the state sequence of a hidden Markov model, conditional on observing all or part of the observation sequence. Probabilities are computed for very general classes of patterns (competing patterns and generalized later patterns), ... |
Title: Event Weighted Tests for Detecting Periodicity in Photon Arrival Times |
Abstract: This paper treats the problem of detecting periodicity in a sequence of photon arrival times, which occurs, for example, in attempting to detect gamma-ray pulsars. A particular focus is on how auxiliary information, typically source intensity, background intensity, and incidence angles and energies associated... |
Title: SiZer for time series: A new approach to the analysis of trends |
Abstract: Smoothing methods and SiZer are a useful statistical tool for discovering statistically significant structure in data. Based on scale space ideas originally developed in the computer vision literature, SiZer (SIgnificant ZERo crossing of the derivatives) is a graphical device to assess which observed features... |
Title: Theory of Finite or Infinite Trees Revisited |
Abstract: We present in this paper a first-order axiomatization of an extended theory $T$ of finite or infinite trees, built on a signature containing an infinite set of function symbols and a relation $\fini(t)$ which enables to distinguish between finite or infinite trees. We show that $T$ has at least one model and ... |
Title: A Robust Linguistic Platform for Efficient and Domain specific Web Content Analysis |
Abstract: Web semantic access in specific domains calls for specialized search engines with enhanced semantic querying and indexing capacities, which pertain both to information retrieval (IR) and to information extraction (IE). A rich linguistic analysis is required either to identify the relevant semantic units to in... |
Title: On semiparametric regression with O'Sullivan penalised splines |
Abstract: This is an expos\'e on the use of O'Sullivan penalised splines in contemporary semiparametric regression, including mixed model and Bayesian formulations. O'Sullivan penalised splines are similar to P-splines, but have an advantage of being a direct generalisation of smoothing splines. Exact expressions for t... |
Title: The random Tukey depth |
Abstract: The computation of the Tukey depth, also called halfspace depth, is very demanding, even in low dimensional spaces, because it requires the consideration of all possible one-dimensional projections. In this paper we propose a random depth which approximates the Tukey depth. It only takes into account a finite... |
Title: A new graphical tool of outliers detection in regression models based on recursive estimation |
Abstract: We present in this paper a new tool for outliers detection in the context of multiple regression models. This graphical tool is based on recursive estimation of the parameters. Simulations were carried out to illustrate the performance of this graphical procedure. As a conclusion, this tool is applied to real... |
Title: Learning from dependent observations |
Abstract: In most papers establishing consistency for learning algorithms it is assumed that the observations used for training are realizations of an i.i.d. process. In this paper we go far beyond this classical framework by showing that support vector machines (SVMs) essentially only require that the data-generating ... |
Title: Consistency of support vector machines for forecasting the evolution of an unknown ergodic dynamical system from observations with unknown noise |
Abstract: We consider the problem of forecasting the next (observable) state of an unknown ergodic dynamical system from a noisy observation of the present state. Our main result shows, for example, that support vector machines (SVMs) using Gaussian RBF kernels can learn the best forecaster from a sequence of noisy obs... |
Title: Treelets--An adaptive multi-scale basis for sparse unordered data |
Abstract: In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often possible due to sparsity: the fact that the data are typically redundant... |
Title: The Role of Time in the Creation of Knowledge |
Abstract: This paper I assume that in humans the creation of knowledge depends on a discrete time, or stage, sequential decision-making process subjected to a stochastic, information transmitting environment. For each time-stage, this environment randomly transmits Shannon type information-packets to the decision-maker... |
Title: Strong confidence intervals for autoregression |
Abstract: In this short note I apply the methodology of game-theoretic probability to calculating non-asymptotic confidence intervals for the coefficient of a simple first order scalar autoregressive model. The most distinctive feature of the proposed procedure is that with high probability it produces confidence inter... |
Title: Clustering and Feature Selection using Sparse Principal Component Analysis |
Abstract: In this paper, we study the application of sparse principal component analysis (PCA) to clustering and feature selection problems. Sparse PCA seeks sparse factors, or linear combinations of the data variables, explaining a maximum amount of variance in the data while having only a limited number of nonzero co... |
Title: Model Selection Through Sparse Maximum Likelihood Estimation |
Abstract: We consider the problem of estimating the parameters of a Gaussian or binary distribution in such a way that the resulting undirected graphical model is sparse. Our approach is to solve a maximum likelihood problem with an added l_1-norm penalty term. The problem as formulated is convex but the memory require... |
Title: Optimal Solutions for Sparse Principal Component Analysis |
Abstract: Given a sample covariance matrix, we examine the problem of maximizing the variance explained by a linear combination of the input variables while constraining the number of nonzero coefficients in this combination. This is known as sparse principal component analysis and has a wide array of applications in m... |
Title: Workspace Analysis of the Parallel Module of the VERNE Machine |
Abstract: The paper addresses geometric aspects of a spatial three-degree-of-freedom parallel module, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel module consists of a moving platform that is connected to a fixed base by three non-identical legs. Each leg is made up of one... |
Title: Very fast watermarking by reversible contrast mapping |
Abstract: Reversible contrast mapping (RCM) is a simple integer transform that applies to pairs of pixels. For some pairs of pixels, RCM is invertible, even if the least significant bits (LSBs) of the transformed pixels are lost. The data space occupied by the LSBs is suitable for data hiding. The embedded information ... |
Title: A New Generalization of Chebyshev Inequality for Random Vectors |
Abstract: In this article, we derive a new generalization of Chebyshev inequality for random vectors. We demonstrate that the new generalization is much less conservative than the classical generalization. |
Title: The Cyborg Astrobiologist: Porting from a wearable computer to the Astrobiology Phone-cam |
Abstract: We have used a simple camera phone to significantly improve an `exploration system' for astrobiology and geology. This camera phone will make it much easier to develop and test computer-vision algorithms for future planetary exploration. We envision that the `Astrobiology Phone-cam' exploration system can be ... |
Title: Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability |
Abstract: In this paper, we derive an explicit formula for constructing the confidence interval of binomial parameter with guaranteed coverage probability. The formula overcomes the limitation of normal approximation which is asymptotic in nature and thus inevitably introduce unknown errors in applications. Moreover, t... |
Title: Segmentation and Context of Literary and Musical Sequences |
Abstract: We test a segmentation algorithm, based on the calculation of the Jensen-Shannon divergence between probability distributions, to two symbolic sequences of literary and musical origin. The first sequence represents the successive appearance of characters in a theatrical play, and the second represents the suc... |
Title: Singular curves and cusp points in the joint space of 3-RPR parallel manipulators |
Abstract: This paper investigates the singular curves in two-dimensional slices of the joint space of a family of planar parallel manipulators. It focuses on special points, referred to as cusp points, which may appear on these curves. Cusp points play an important role in the kinematic behavior of parallel manipulator... |
Title: Clusters, Graphs, and Networks for Analysing Internet-Web-Supported Communication within a Virtual Community |
Abstract: The proposal is to use clusters, graphs and networks as models in order to analyse the Web structure. Clusters, graphs and networks provide knowledge representation and organization. Clusters were generated by co-site analysis. The sample is a set of academic Web sites from the countries belonging to the Euro... |
Title: The Kinematics of Manipulators Built From Closed Planar Mechanisms |
Abstract: The paper discusses the kinematics of manipulators builts of planar closed kinematic chains. A special kinematic scheme is extracted from the array of these mechanisms that looks the most promising for the creation of different types of robotic manipulators. The structural features of this manipulator determi... |
Title: Removing Manually-Generated Boilerplate from Electronic Texts: Experiments with Project Gutenberg e-Books |
Abstract: Collaborative work on unstructured or semi-structured documents, such as in literature corpora or source code, often involves agreed upon templates containing metadata. These templates are not consistent across users and over time. Rule-based parsing of these templates is expensive to maintain and tends to fa... |
Title: Moveability and Collision Analysis for Fully-Parallel Manipulators |
Abstract: The aim of this paper is to characterize the moveability of fully-parallel manipulators in the presence of obstacles. Fully parallel manipulators are used in applications where accuracy, stiffness or high speeds and accelerations are required . However, one of its main drawbacks is a relatively small workspac... |
Title: Working Modes and Aspects in Fully-Parallel Manipulator |
Abstract: The aim of this paper is to characterize the notion of aspect in the workspace and in the joint space for parallel manipulators. In opposite to the serial manipulators, the parallel manipulators can admit not only multiple inverse kinematic solutions, but also multiple direct kinematic solutions. The notion o... |
Title: The Isoconditioning Loci of A Class of Closed-Chain Manipulators |
Abstract: The subject of this paper is a special class of closed-chain manipulators. First, we analyze a family of two-degree-of-freedom (dof) five-bar planar linkages. Two Jacobian matrices appear in the kinematic relations between the joint-rate and the Cartesian-velocity vectors, which are called the ``inverse kinem... |
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