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We introduce the Multiple Quantile Graphical Model (MQGM), which extends the neighborhood selection approach of Meinshausen and Buhlmann for learning sparse graphical models. The latter is defined by the basic subproblem of modeling the…

Methodology · Statistics 2016-10-31 Alnur Ali , J. Zico Kolter , Ryan J. Tibshirani

Structured high-cardinality data arises in many domains, and poses a major challenge for both modeling and inference. Graphical models are a popular approach to modeling structured data but they are unsuitable for high-cardinality…

Data Structures and Algorithms · Computer Science 2016-07-19 Branislav Kveton , Hung Bui , Mohammad Ghavamzadeh , Georgios Theocharous , S. Muthukrishnan , Siqi Sun

The ability to predict future states is crucial to informed decision-making while interacting with dynamic environments. With cameras providing a prevalent and information-rich sensing modality, the problem of predicting future states from…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Nikhil U. Shinde , Xiao Liang , Florian Richter , Michael C. Yip

Gaussian Mixture Models (GMM) do not adapt well to curved and strongly nonlinear data. However, we can use Gaussians in the curvilinear coordinate systems to solve this problem. Moreover, such a solution allows for the adaptation of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Krzysztof Byrski , Przemysław Spurek , Jacek Tabor

In this paper, we propose a novel approach to solve the pose guided person image generation task. We assume that the relation between pose and appearance information can be described by a simple matrix operation in hidden space. Based on…

Computer Vision and Pattern Recognition · Computer Science 2021-05-27 Ting-Yao Hu , Alexander G. Hauptmann

Gaussian Graphical Models (GGMs) have wide-ranging applications in machine learning and the natural and social sciences. In most of the settings in which they are applied, the number of observed samples is much smaller than the dimension…

Machine Learning · Computer Science 2020-03-10 Jonathan Kelner , Frederic Koehler , Raghu Meka , Ankur Moitra

Registering accurately point clouds from a cheap low-resolution sensor is a challenging task. Existing rigid registration methods failed to use the physical 3D uncertainty distribution of each point from a real sensor in the dynamic…

Computer Vision and Pattern Recognition · Computer Science 2018-08-03 Can Pu , Nanbo Li , Radim Tylecek , Robert B Fisher

Mixtures of Gaussians, factor analyzers (probabilistic PCA) and hidden Markov models are staples of static and dynamic data modeling and image and video modeling in particular. We show how topographic transformations in the input, such as…

Computer Vision and Pattern Recognition · Computer Science 2013-01-18 Brendan J. Frey , Nebojsa Jojic

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

We consider the problem of learning the structure of a pairwise graphical model over continuous and discrete variables. We present a new pairwise model for graphical models with both continuous and discrete variables that is amenable to…

Machine Learning · Statistics 2013-07-05 Jason D. Lee , Trevor J. Hastie

Current theories of perception suggest that the brain represents features of the world as probability distributions, but can such uncertain foundations provide the basis for everyday vision? Perceiving objects and scenes requires knowing…

Neurons and Cognition · Quantitative Biology 2022-11-30 Andrey Chetverikov , Árni Kristjánsson

Probabilistic graphic model is an elegant framework to compactly present complex real-world observations by modeling uncertainty and logical flow (conditionally independent factors). In this paper, we present a probabilistic framework of…

Information Retrieval · Computer Science 2017-01-06 Jun Wang , Qiang Tang

Camera pose estimation is a long-standing computer vision problem that to date often relies on classical methods, such as handcrafted keypoint matching, RANSAC and bundle adjustment. In this paper, we propose to formulate the Structure from…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Jianyuan Wang , Christian Rupprecht , David Novotny

We study computing geometric problems on uncertain points. An uncertain point is a point that does not have a fixed location, but rather is described by a probability distribution. When these probability distributions are restricted to a…

Computational Geometry · Computer Science 2012-05-03 Allan Jorgensen , Maarten Löffler , Jeff M. Phillips

Visual localization is the task of accurate camera pose estimation in a known scene. It is a key problem in computer vision and robotics, with applications including self-driving cars, Structure-from-Motion, SLAM, and Mixed Reality.…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Torsten Sattler , Qunjie Zhou , Marc Pollefeys , Laura Leal-Taixe

A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP-EM algorithm. A dual mathematical interpretation of the…

Computer Vision and Pattern Recognition · Computer Science 2010-06-16 Guoshen Yu , Guillermo Sapiro , Stéphane Mallat

Robots operating in domestic environments generally need to interact with articulated objects, such as doors, cabinets, dishwashers or fridges. In this work, we present a novel, probabilistic framework for modeling articulated objects as…

Robotics · Computer Science 2014-06-02 Jürgen Sturm , Cyrill Stachniss , Wolfram Burgard

We present a novel approach for 3D human pose estimation by employing probabilistic modeling. This approach leverages the advantages of normalizing flows in non-Euclidean geometries to address uncertain poses. Specifically, our method…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Karthik Shetty , Annette Birkhold , Bernhard Egger , Srikrishna Jaganathan , Norbert Strobel , Markus Kowarschik , Andreas Maier

Recovering structure and motion parameters given a image pair or a sequence of images is a well studied problem in computer vision. This is often achieved by employing Structure from Motion (SfM) or Simultaneous Localization and Mapping…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Thanuja Dharmasiri , Andrew Spek , Tom Drummond

We consider the problem of vision-based pose estimation for autonomous systems. While deep neural networks have been successfully used for vision-based tasks, they inherently lack provable guarantees on the correctness of their output,…

Robotics · Computer Science 2026-01-27 Ulices Santa Cruz , Mahmoud Elfar , Yasser Shoukry