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Title: Rearranging Edgeworth-Cornish-Fisher Expansions |
Abstract: This paper applies a regularization procedure called increasing rearrangement to monotonize Edgeworth and Cornish-Fisher expansions and any other related approximations of distribution and quantile functions of sample statistics. Besides satisfying the logical monotonicity, required of distribution and quanti... |
Title: Fast rates for support vector machines using Gaussian kernels |
Abstract: For binary classification we establish learning rates up to the order of $n^-1$ for support vector machines (SVMs) with hinge loss and Gaussian RBF kernels. These rates are in terms of two assumptions on the considered distributions: Tsybakov's noise assumption to establish a small estimation error, and a new... |
Title: On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach |
Abstract: In this paper, we consider the volume enclosed by the microcanonical ensemble in phase space as a statistical ensemble. This can be interpreted as an intermediate image between the microcanonical and the canonical pictures. By maintaining the ergodic hypothesis over this ensemble, that is, the equiprobability... |
Title: Solving the subset-sum problem with a light-based device |
Abstract: We propose a special computational device which uses light rays for solving the subset-sum problem. The device has a graph-like representation and the light is traversing it by following the routes given by the connections between nodes. The nodes are connected by arcs in a special way which lets us to genera... |
Title: Models with time-dependent parameters using transform methods: application to Heston's model |
Abstract: This paper presents a methodology to introduce time-dependent parameters for a wide family of models preserving their analytic tractability. This family includes hybrid models with stochastic volatility, stochastic interest-rates, jumps and their non-hybrid counterparts. The methodology is applied to Heston's... |
Title: Piecewise linear regularized solution paths |
Abstract: We consider the generic regularized optimization problem $(\lambda)=\arg \min_\betaL(,X)+\lambda J()$. Efron, Hastie, Johnstone and Tibshirani [Ann. Statist. 32 (2004) 407--499] have shown that for the LASSO--that is, if $L$ is squared error loss and $J(\beta)=\|\beta\|_1$ is the $\ell_1$ norm of $\beta$--the... |
Title: Compositional Semantics Grounded in Commonsense Metaphysics |
Abstract: We argue for a compositional semantics grounded in a strongly typed ontology that reflects our commonsense view of the world and the way we talk about it in ordinary language. Assuming the existence of such a structure, we show that the semantics of various natural language phenomena may become nearly trivial... |
Title: On Semimeasures Predicting Martin-Loef Random Sequences |
Abstract: Solomonoff's central result on induction is that the posterior of a universal semimeasure M converges rapidly and with probability 1 to the true sequence generating posterior mu, if the latter is computable. Hence, M is eligible as a universal sequence predictor in case of unknown mu. Despite some nearby resu... |
Title: Continuous and randomized defensive forecasting: unified view |
Abstract: Defensive forecasting is a method of transforming laws of probability (stated in game-theoretic terms as strategies for Sceptic) into forecasting algorithms. There are two known varieties of defensive forecasting: "continuous", in which Sceptic's moves are assumed to depend on the forecasts in a (semi)continu... |
Title: Online Learning in Discrete Hidden Markov Models |
Abstract: We present and analyse three online algorithms for learning in discrete Hidden Markov Models (HMMs) and compare them with the Baldi-Chauvin Algorithm. Using the Kullback-Leibler divergence as a measure of generalisation error we draw learning curves in simplified situations. The performance for learning drift... |
Title: A structure from motion inequality |
Abstract: We state an elementary inequality for the structure from motion problem for m cameras and n points. This structure from motion inequality relates space dimension, camera parameter dimension, the number of cameras and number points and global symmetry properties and provides a rigorous criterion for which reco... |
Title: On Ullman's theorem in computer vision |
Abstract: Both in the plane and in space, we invert the nonlinear Ullman transformation for 3 points and 3 orthographic cameras. While Ullman's theorem assures a unique reconstruction modulo a reflection for 3 cameras and 4 points, we find a locally unique reconstruction for 3 cameras and 3 points. Explicit reconstruct... |
Title: Space and camera path reconstruction for omni-directional vision |
Abstract: In this paper, we address the inverse problem of reconstructing a scene as well as the camera motion from the image sequence taken by an omni-directional camera. Our structure from motion results give sharp conditions under which the reconstruction is unique. For example, if there are three points in general ... |
Title: The Fuzzy Vault for fingerprints is Vulnerable to Brute Force Attack |
Abstract: The approach is one of the best studied and well accepted ideas for binding cryptographic security into biometric authentication. The vault has been implemented in connection with fingerprint data by Uludag and Jain. We show that this instance of the vault is vulnerable to brute force attack. An interceptor o... |
Title: A Dichotomy Theorem for General Minimum Cost Homomorphism Problem |
Abstract: In the constraint satisfaction problem ($CSP$), the aim is to find an assignment of values to a set of variables subject to specified constraints. In the minimum cost homomorphism problem ($MinHom$), one is additionally given weights $c_va$ for every variable $v$ and value $a$, and the aim is to find an assig... |
Title: Architecture Optimization of a 3-DOF Translational Parallel Mechanism for Machining Applications, the Orthoglide |
Abstract: This paper addresses the architecture optimization of a 3-DOF translational parallel mechanism designed for machining applications. The design optimization is conducted on the basis of a prescribed Cartesian workspace with prescribed kinetostatic performances. The resulting machine, the Orthoglide, features t... |
Title: Sparse inverse covariance estimation with the lasso |
Abstract: We consider the problem of estimating sparse graphs by a lasso penalty applied to the inverse covariance matrix. Using a coordinate descent procedure for the lasso, we develop a simple algorithm that is remarkably fast: in the worst cases, it solves a 1000 node problem ( 500,000 parameters) in about a minute,... |
Title: Parametric stiffness analysis of the Orthoglide |
Abstract: This paper presents a parametric stiffness analysis of the Orthoglide. A compliant modeling and a symbolic expression of the stiffness matrix are conducted. This allows a simple systematic analysis of the influence of the geometric design parameters and to quickly identify the critical link parameters. Our sy... |
Title: Kinematics and Workspace Analysis of a Three-Axis Parallel Manipulator: the Orthoglide |
Abstract: The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which moves in the Cartesian x-y-z space with fixed orientation. New solution... |
Title: Parametric Stiffness Analysis of the Orthoglide |
Abstract: This paper presents a parametric stiffness analysis of the Orthoglide, a 3-DOF translational Parallel Kinematic Machine. First, a compliant modeling of the Orthoglide is conducted based on an existing method. Then stiffness matrix is symbolically computed. This allows one to easily study the influence of the ... |
Title: Fisher Lecture: Dimension Reduction in Regression |
Abstract: Beginning with a discussion of R. A. Fisher's early written remarks that relate to dimension reduction, this article revisits principal components as a reductive method in regression, develops several model-based extensions and ends with descriptions of general approaches to model-based and model-free dimensi... |
Title: Comment: Fisher Lecture: Dimension Reduction in Regression |
Abstract: Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774] |
Title: Comment: Fisher Lecture: Dimension Reduction in Regression |
Abstract: Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774] |
Title: Comment: Fisher Lecture: Dimension Reduction in Regression |
Abstract: Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774] |
Title: Rejoinder: Fisher Lecture: Dimension Reduction in Regression |
Abstract: Rejoinder: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774] |
Title: Embedding Population Dynamics Models in Inference |
Abstract: Increasing pressures on the environment are generating an ever-increasing need to manage animal and plant populations sustainably, and to protect and rebuild endangered populations. Effective management requires reliable mathematical models, so that the effects of management action can be predicted, and the u... |
Title: A General Framework for the Parametrization of Hierarchical Models |
Abstract: In this paper, we describe centering and noncentering methodology as complementary techniques for use in parametrization of broad classes of hierarchical models, with a view to the construction of effective MCMC algorithms for exploring posterior distributions from these models. We give a clear qualitative un... |
Title: Design Strategies for the Geometric Synthesis of Orthoglide-type Mechanisms |
Abstract: The paper addresses the geometric synthesis of Orthoglide-type mechanism, a family of 3-DOF parallel manipulators for rapid machining applications, which combine advantages of both serial mechanisms and parallel kinematic architectures. These manipulators possess quasi-isotropic kinematic performances and are... |
Title: An Exhaustive Study of the Workspaces Tolopogies of all 3R Orthogonal Manipulators with Geometric Simplifications |
Abstract: This paper proposes a classification of three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. This classification is based on the topology of their workspace. The workspace is characterized in a half-cross section by the singular curves. The workspace topology is ... |
Title: The Isoconditioning Loci of Planar Three-DOF Parallel Manipulators |
Abstract: The subject of this paper is a special class of three-degree-of-freedom parallel manipulators. The singular configurations of the two Jacobian matrices are first studied. The isotropic configurations are then found based on the characteristic length of this manipulator. The isoconditioning loci for the Jacobi... |
Title: Kinematic analysis of the 3-RPR parallel manipulator |
Abstract: The aim of this paper is the kinematic study of a 3-RPR planar parallel manipulator where the three fixed revolute joints are actuated. The direct and inverse kinematic problem as well as the singular configuration is characterized. On parallel singular configurations, the motion produce by the mobile platfor... |
Title: Working and Assembly Modes of the Agile Eye |
Abstract: This paper deals with the in-depth kinematic analysis of a special spherical parallel wrist, called the Agile Eye. The Agile Eye is a three-legged spherical parallel robot with revolute joints in which all pairs of adjacent joint axes are orthogonal. Its most peculiar feature, demonstrated in this paper for t... |
Title: Chess, Chance and Conspiracy |
Abstract: Chess and chance are seemingly strange bedfellows. Luck and/or randomness have no apparent role in move selection when the game is played at the highest levels. However, when competition is at the ultimate level, that of the World Chess Championship (WCC), chess and conspiracy are not strange bedfellows, ther... |
Title: Maty's Biography of Abraham De Moivre, Translated, Annotated and Augmented |
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