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Title: Deconvolution of mixing time series on a graph |
Abstract: In many applications we are interested in making inference on latent time series from indirect measurements, which are often low-dimensional projections resulting from mixing or aggregation. Positron emission tomography, super-resolution, and network traffic monitoring are some examples. Inference in such set... |
Title: A Maximal Large Deviation Inequality for Sub-Gaussian Variables |
Abstract: In this short note we prove a maximal concentration lemma for sub-Gaussian random variables stating that for independent sub-Gaussian random variables we have \[P<(\max_1\le i\le NS_i>\epsilon>) \le\exp<(-N^2\sum_i=1^N2\sigma_i^2>), \] where $S_i$ is the sum of $i$ zero mean independent sub-Gaussian random va... |
Title: A Note on the Entropy/Influence Conjecture |
Abstract: The entropy/influence conjecture, raised by Friedgut and Kalai in 1996, seeks to relate two different measures of concentration of the Fourier coefficients of a Boolean function. Roughly saying, it claims that if the Fourier spectrum is "smeared out", then the Fourier coefficients are concentrated on "high" l... |
Title: $\ell_0$ Minimization for Wavelet Frame Based Image Restoration |
Abstract: The theory of (tight) wavelet frames has been extensively studied in the past twenty years and they are currently widely used for image restoration and other image processing and analysis problems. The success of wavelet frame based models, including balanced approach and analysis based approach, is due to th... |
Title: On the equivalence of Hopfield Networks and Boltzmann Machines |
Abstract: A specific type of neural network, the Restricted Boltzmann Machine (RBM), is implemented for classification and feature detection in machine learning. RBM is characterized by separate layers of visible and hidden units, which are able to learn efficiently a generative model of the observed data. We study a "... |
Title: View subspaces for indexing and retrieval of 3D models |
Abstract: View-based indexing schemes for 3D object retrieval are gaining popularity since they provide good retrieval results. These schemes are coherent with the theory that humans recognize objects based on their 2D appearances. The viewbased techniques also allow users to search with various queries such as binary ... |
Title: Salient Local 3D Features for 3D Shape Retrieval |
Abstract: In this paper we describe a new formulation for the 3D salient local features based on the voxel grid inspired by the Scale Invariant Feature Transform (SIFT). We use it to identify the salient keypoints (invariant points) on a 3D voxelized model and calculate invariant 3D local feature descriptors at these k... |
Title: Face Recognition using 3D Facial Shape and Color Map Information: Comparison and Combination |
Abstract: In this paper, we investigate the use of 3D surface geometry for face recognition and compare it to one based on color map information. The 3D surface and color map data are from the CAESAR anthropometric database. We find that the recognition performance is not very different between 3D surface and color map... |
Title: Retrieval and Clustering from a 3D Human Database based on Body and Head Shape |
Abstract: In this paper, we describe a framework for similarity based retrieval and clustering from a 3D human database. Our technique is based on both body and head shape representation and the retrieval is based on similarity of both of them. The 3D human database used in our study is the CAESAR anthropometric databa... |
Title: Optimal Upper and Lower Bounds for Boolean Expressions by Dissociation |
Abstract: This paper develops upper and lower bounds for the probability of Boolean expressions by treating multiple occurrences of variables as independent and assigning them new individual probabilities. Our technique generalizes and extends the underlying idea of a number of recent approaches which are varyingly cal... |
Title: Planar Pixelations and Image Recognition |
Abstract: Any subset of the plane can be approximated by a set of square pixels. This transition from a shape to its pixelation is rather brutal since it destroys geometric and topological information about the shape. Using a technique inspired by Morse Theory, we algorithmically produce a PL approximation of the origi... |
Title: Semantic Vector Machines |
Abstract: We first present our work in machine translation, during which we used aligned sentences to train a neural network to embed n-grams of different languages into an $d$-dimensional space, such that n-grams that are the translation of each other are close with respect to some metric. Good n-grams to n-grams tran... |
Title: A Multi-Purpose Scenario-based Simulator for Smart House Environments |
Abstract: Developing smart house systems has been a great challenge for researchers and engineers in this area because of the high cost of implementation and evaluation process of these systems, while being very time consuming. Testing a designed smart house before actually building it is considered as an obstacle towa... |
Title: Propensity Score Analysis with Matching Weights |
Abstract: The propensity score analysis is one of the most widely used methods for studying the causal treatment effect in observational studies. This paper studies treatment effect estimation with the method of matching weights. This method resembles propensity score matching but offers a number of new features includ... |
Title: Feature Selection for MAUC-Oriented Classification Systems |
Abstract: Feature selection is an important pre-processing step for many pattern classification tasks. Traditionally, feature selection methods are designed to obtain a feature subset that can lead to high classification accuracy. However, classification accuracy has recently been shown to be an inappropriate performan... |
Title: Bounds on the Bayes Error Given Moments |
Abstract: We show how to compute lower bounds for the supremum Bayes error if the class-conditional distributions must satisfy moment constraints, where the supremum is with respect to the unknown class-conditional distributions. Our approach makes use of Curto and Fialkow's solutions for the truncated moment problem. ... |
Title: Generating Similar Graphs From Spherical Features |
Abstract: We propose a novel model for generating graphs similar to a given example graph. Unlike standard approaches that compute features of graphs in Euclidean space, our approach obtains features on a surface of a hypersphere. We then utilize a von Mises-Fisher distribution, an exponential family distribution on th... |
Title: Spectrum Sensing for Cognitive Radio Using Kernel-Based Learning |
Abstract: Kernel method is a very powerful tool in machine learning. The trick of kernel has been effectively and extensively applied in many areas of machine learning, such as support vector machine (SVM) and kernel principal component analysis (kernel PCA). Kernel trick is to define a kernel function which relies on ... |
Title: Fast approximate inference with INLA: the past, the present and the future |
Abstract: Latent Gaussian models are an extremely popular, flexible class of models. Bayesian inference for these models is, however, tricky and time consuming. Recently, Rue, Martino and Chopin introduced the Integrated Nested Laplace Approximation (INLA) method for deterministic fast approximate inference. In this pa... |
Title: Local Identification of Nonparametric and Semiparametric Models |
Abstract: In parametric, nonlinear structural models a classical sufficient condition for local identification, like Fisher (1966) and Rothenberg (1971), is that the vector of moment conditions is differentiable at the true parameter with full rank derivative matrix. We derive an analogous result for the nonparametric,... |
Title: Learning to Place New Objects |
Abstract: The ability to place objects in the environment is an important skill for a personal robot. An object should not only be placed stably, but should also be placed in its preferred location/orientation. For instance, a plate is preferred to be inserted vertically into the slot of a dish-rack as compared to be p... |
Title: Semiparametric Bivariate Zero-Inflated Poisson Models with Application to Studies of Abundance for Multiple Species |
Abstract: Ecological studies involving counts of abundance, presence-absence or occupancy rates often produce data having a substantial proportion of zeros. Furthermore, these types of processes are typically multivariate and only adequately described by complex nonlinear relationships involving externally measured cov... |
Title: On R\'enyi and Tsallis entropies and divergences for exponential families |
Abstract: Many common probability distributions in statistics like the Gaussian, multinomial, Beta or Gamma distributions can be studied under the unified framework of exponential families. In this paper, we prove that both R\'enyi and Tsallis divergences of distributions belonging to the same exponential family admit ... |
Title: Optimal Camera Placement to measure Distances Conservativly Regarding Static and Dynamic Obstacles |
Abstract: In modern production facilities industrial robots and humans are supposed to interact sharing a common working area. In order to avoid collisions, the distances between objects need to be measured conservatively which can be done by a camera network. To estimate the acquired distance, unmodelled objects, e.g.... |
Title: Efficient adaptive designs with mid-course sample size adjustment in clinical trials |
Abstract: Adaptive designs have been proposed for clinical trials in which the nuisance parameters or alternative of interest are unknown or likely to be misspecified before the trial. Whereas most previous works on adaptive designs and mid-course sample size re-estimation have focused on two-stage or group sequential ... |
Title: Independent screening for single-index hazard rate models with ultra-high dimensional features |
Abstract: In data sets with many more features than observations, independent screening based on all univariate regression models leads to a computationally convenient variable selection method. Recent efforts have shown that in the case of generalized linear models, independent screening may suffice to capture all rel... |
Title: All-at-once Optimization for Coupled Matrix and Tensor Factorizations |
Abstract: Joint analysis of data from multiple sources has the potential to improve our understanding of the underlying structures in complex data sets. For instance, in restaurant recommendation systems, recommendations can be based on rating histories of customers. In addition to rating histories, customers' social n... |
Title: Recursive bias estimation for multivariate regression smoothers |
Abstract: This paper presents a practical and simple fully nonparametric multivariate smoothing procedure that adapts to the underlying smoothness of the true regression function. Our estimator is easily computed by successive application of existing base smoothers (without the need of selecting an optimal smoothing pa... |
Title: Visibility-preserving convexifications using single-vertex moves |
Abstract: Devadoss asked: (1) can every polygon be convexified so that no internal visibility (between vertices) is lost in the process? Moreover, (2) does such a convexification exist, in which exactly one vertex is moved at a time (that is, using \em single-vertex moves)? We prove the redundancy of the "single-vertex... |
Title: Xapagy: a cognitive architecture for narrative reasoning |
Abstract: We introduce the Xapagy cognitive architecture: a software system designed to perform narrative reasoning. The architecture has been designed from scratch to model and mimic the activities performed by humans when witnessing, reading, recalling, narrating and talking about stories. |
Title: Invariant Representative Cocycles of Cohomology Generators using Irregular Graph Pyramids |
Abstract: Structural pattern recognition describes and classifies data based on the relationships of features and parts. Topological invariants, like the Euler number, characterize the structure of objects of any dimension. Cohomology can provide more refined algebraic invariants to a topological space than does homolo... |
Title: Iterative bias reduction multivariate smoothing in R: The ibr package |
Abstract: In multivariate nonparametric analysis, sparseness of the covariates also called curse of dimensionality, forces one to use large smoothing parameters. This leads to a biased smoother. Instead of focusing on optimally selecting the smoothing parameter, we fix it to some reasonably large value to ensure an ove... |
Title: Face Shape and Reflectance Acquisition using a Multispectral Light Stage |
Abstract: In this thesis, we discuss the design and calibration (geometric and radiometric) of a novel shape and reflectance acquisition device called the "Multispectral Light Stage". This device can capture highly detailed facial geometry (down to the level of skin pores detail) and Multispectral reflectance map which... |
Title: Probabilistic Inference from Arbitrary Uncertainty using Mixtures of Factorized Generalized Gaussians |
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