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Abstract: A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings according to potentially different rates. For this model we consider ... |
Title: Rigorous confidence bounds for MCMC under a geometric drift condition |
Abstract: We assume a drift condition towards a small set and bound the mean square error of estimators obtained by taking averages along a single trajectory of a Markov chain Monte Carlo algorithm. We use these bounds to construct fixed-width nonasymptotic confidence intervals. For a possibly unbounded function $f:\st... |
Title: Simulation reductions for the Ising model |
Abstract: Polynomial time reductions between problems have long been used to delineate problem classes. Simulation reductions also exist, where an oracle for simulation from some probability distribution can be employed together with an oracle for Bernoulli draws in order to obtain a draw from a different distribution.... |
Title: Classification by Set Cover: The Prototype Vector Machine |
Abstract: We introduce a new nearest-prototype classifier, the prototype vector machine (PVM). It arises from a combinatorial optimization problem which we cast as a variant of the set cover problem. We propose two algorithms for approximating its solution. The PVM selects a relatively small number of representative po... |
Title: Online EM Algorithm for Hidden Markov Models |
Abstract: Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that combines two key ideas. The first one, which is deeply rooted in the Expecta... |
Title: Bayesian estimation of a bivariate copula using the Jeffreys prior |
Abstract: A bivariate distribution with continuous margins can be uniquely decomposed via a copula and its marginal distributions. We consider the problem of estimating the copula function and adopt a Bayesian approach. On the space of copula functions, we construct a finite-dimensional approximation subspace that is p... |
Title: Reconfiguration of 3D Crystalline Robots Using O(log n) Parallel Moves |
Abstract: We consider the theoretical model of Crystalline robots, which have been introduced and prototyped by the robotics community. These robots consist of independently manipulable unit-square atoms that can extend/contract arms on each side and attach/detach from neighbors. These operations suffice to reconfigure... |
Title: Sequential Quantile Prediction of Time Series |
Abstract: Motivated by a broad range of potential applications, we address the quantile prediction problem of real-valued time series. We present a sequential quantile forecasting model based on the combination of a set of elementary nearest neighbor-type predictors called "experts" and show its consistency under a min... |
Title: A Backward Particle Interpretation of Feynman-Kac Formulae |
Abstract: We design a particle interpretation of Feynman-Kac measures on path spaces based on a backward Markovian representation combined with a traditional mean field particle interpretation of the flow of their final time marginals. In contrast to traditional genealogical tree based models, these new particle algori... |
Title: Convex Multiview Fisher Discriminant Analysis |
Abstract: Section 1.3 was incorrect, and 2.1 will be removed from further submissions. A rewritten version will be posted in the future. |
Title: A bayesian approach to the estimation of maps between riemannian manifolds, II: examples |
Abstract: Let M be a smooth compact oriented manifold without boundary, imbedded in a euclidean space E and let f be a smooth map of M into a Riemannian manifold N. An unknown state x in M is observed via X=x+su where s>0 is a small parameter and u is a white Gaussian noise. For a given smooth prior on M and smooth est... |
Title: Convergence of Nonparametric Long-Memory Phase I Designs |
Abstract: We examine nonparametric dose-finding designs that use toxicity estimates based on all available data at each dose allocation decision. We prove that one such design family, called here "interval design", converges almost surely to the maximum tolerated dose (MTD), if the MTD is the only dose level whose toxi... |
Title: Dynamic quantum clustering: a method for visual exploration of structures in data |
Abstract: A given set of data-points in some feature space may be associated with a Schrodinger equation whose potential is determined by the data. This is known to lead to good clustering solutions. Here we extend this approach into a full-fledged dynamical scheme using a time-dependent Schrodinger equation. Moreover,... |
Title: Semantic Robot Vision Challenge: Current State and Future Directions |
Abstract: The Semantic Robot Vision Competition provided an excellent opportunity for our research lab to integrate our many ideas under one umbrella, inspiring both collaboration and new research. The task, visual search for an unknown object, is relevant to both the vision and robotics communities. Moreover, since th... |
Title: Sparse Canonical Correlation Analysis |
Abstract: We present a novel method for solving Canonical Correlation Analysis (CCA) in a sparse convex framework using a least squares approach. The presented method focuses on the scenario when one is interested in (or limited to) a primal representation for the first view while having a dual representation for the s... |
Title: A nonparametric independence test using random permutations |
Abstract: We propose a new nonparametric test for the supposition of independence between two continuous random variables. The test is based on the size of the longest increasing subsequence of a random permutation. We identified the independence assumption between the two continuous variables with the space of permuta... |
Title: Predictive validities: figures of merit or veils of deception? |
Abstract: The ETS has recently released new estimates of validities of the GRE for predicting cumulative graduate GPA. They average in the middle thirties - twice as high as those previously reported by a number of independent investigators. It is shown in the first part of this paper that this unexpected finding can b... |
Title: Approximation of Average Run Length of Moving Sum Algorithms Using Multivariate Probabilities |
Abstract: Among the various procedures used to detect potential changes in a stochastic process the moving sum algorithms are very popular due to their intuitive appeal and good statistical performance. One of the important design parameters of a change detection algorithm is the expected interval between false positiv... |
Title: Computational Understanding and Manipulation of Symmetries |
Abstract: For natural and artificial systems with some symmetry structure, computational understanding and manipulation can be achieved without learning by exploiting the algebraic structure. Here we describe this algebraic coordinatization method and apply it to permutation puzzles. Coordinatization yields a structura... |
Title: Another Look at Quantum Neural Computing |
Abstract: The term quantum neural computing indicates a unity in the functioning of the brain. It assumes that the neural structures perform classical processing and that the virtual particles associated with the dynamical states of the structures define the underlying quantum state. We revisit the concept and also sum... |
Title: Practical approach to programmable analog circuits with memristors |
Abstract: We suggest an approach to use memristors (resistors with memory) in programmable analog circuits. Our idea consists in a circuit design in which low voltages are applied to memristors during their operation as analog circuit elements and high voltages are used to program the memristor's states. This way, as i... |
Title: Nonparametric estimation of the volatility function in a high-frequency model corrupted by noise |
Abstract: We consider the models Y_i,n=\int_0^i/n \sigma(s)dW_s+\tau(i/n)\epsilon_i,n, and \tilde Y_i,n=\sigma(i/n)W_i/n+\tau(i/n)\epsilon_i,n, i=1,...,n, where W_t denotes a standard Brownian motion and \epsilon_i,n are centered i.i.d. random variables with E(\epsilon_i,n^2)=1 and finite fourth moment. Furthermore, \s... |
Title: Quantifying Rational Belief |
Abstract: Some criticisms that have been raised against the Cox approach to probability theory are addressed. Should we use a single real number to measure a degree of rational belief? Can beliefs be compared? Are the Cox axioms obvious? Are there counterexamples to Cox? Rather than justifying Cox's choice of axioms we... |
Title: Non-quadratic convex regularized reconstruction of MR images from spiral acquisitions |
Abstract: Combining fast MR acquisition sequences and high resolution imaging is a major issue in dynamic imaging. Reducing the acquisition time can be achieved by using non-Cartesian and sparse acquisitions. The reconstruction of MR images from these measurements is generally carried out using gridding that interpolat... |
Title: Rate Constrained Random Access over a Fading Channel |
Abstract: In this paper, we consider uplink transmissions involving multiple users communicating with a base station over a fading channel. We assume that the base station does not coordinate the transmissions of the users and hence the users employ random access communication. The situation is modeled as a non-coopera... |
Title: Relative Expected Improvement in Kriging Based Optimization |
Abstract: We propose an extension of the concept of Expected Improvement criterion commonly used in Kriging based optimization. We extend it for more complex Kriging models, e.g. models using derivatives. The target field of application are CFD problems, where objective function are extremely expensive to evaluate, but... |
Title: Geometric Analysis of the Conformal Camera for Intermediate-Level Vision and Perisaccadic Perception |
Abstract: A binocular system developed by the author in terms of projective Fourier transform (PFT) of the conformal camera, which numerically integrates the head, eyes, and visual cortex, is used to process visual information during saccadic eye movements. Although we make three saccades per second at the eyeball's ma... |
Title: Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-like Transforms |
Abstract: We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions--the B-spline factorization theorem. In particular, starting from well-localized scaling functions, we construct HT pairs of biorthogona... |
Title: On the Shiftability of Dual-Tree Complex Wavelet Transforms |
Abstract: The dual-tree complex wavelet transform (DT-CWT) is known to exhibit better shift-invariance than the conventional discrete wavelet transform. We propose an amplitude-phase representation of the DT-CWT which, among other things, offers a direct explanation for the improvement in the shift-invariance. The repr... |
Title: A Cognitive Mind-map Framework to Foster Trust |
Abstract: The explorative mind-map is a dynamic framework, that emerges automatically from the input, it gets. It is unlike a verificative modeling system where existing (human) thoughts are placed and connected together. In this regard, explorative mind-maps change their size continuously, being adaptive with connecti... |
Title: The Optimal Unbiased Value Estimator and its Relation to LSTD, TD and MC |
Abstract: In this analytical study we derive the optimal unbiased value estimator (MVU) and compare its statistical risk to three well known value estimators: Temporal Difference learning (TD), Monte Carlo estimation (MC) and Least-Squares Temporal Difference Learning (LSTD). We demonstrate that LSTD is equivalent to t... |
Title: Maximizing profit using recommender systems |
Abstract: Traditional recommendation systems make recommendations based solely on the customer's past purchases, product ratings and demographic data without considering the profitability the items being recommended. In this work we study the question of how a vendor can directly incorporate the profitability of items ... |
Title: Chaotic Transitions in Wall Following Robots |
Abstract: In this paper we examine how simple agents similar to Braitenberg vehicles can exhibit chaotic movement patterns. The agents are wall following robots as described by Steve Mesburger and Alfred Hubler in their paper "Chaos in Wall Following Robots". These agents uses a simple forward facing distance sensor, w... |
Title: Uncovering delayed patterns in noisy and irregularly sampled time series: an astronomy application |
Abstract: We study the problem of estimating the time delay between two signals representing delayed, irregularly sampled and noisy versions of the same underlying pattern. We propose and demonstrate an evolutionary algorithm for the (hyper)parameter estimation of a kernel-based technique in the context of an astronomi... |
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