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We study statistical detection of grayscale objects in noisy images. The object of interest is of unknown shape and has an unknown intensity, that can be varying over the object and can be negative. No boundary shape constraints are imposed…

Statistics Theory · Mathematics 2011-02-24 Mikhail A. Langovoy , Olaf Wittich

This paper presents fast non-sampling based methods to assess the risk for trajectories of autonomous vehicles when probabilistic predictions of other agents' futures are generated by deep neural networks (DNNs). The presented methods…

Machine Learning · Computer Science 2021-09-24 Ashkan Jasour , Xin Huang , Allen Wang , Brian C. Williams

Most object detection methods use bounding boxes to encode and represent the object shape and location. In this work, we explore a fuzzy representation of object regions using Gaussian distributions, which provides an implicit binary…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Jeffri M. Llerena , Luis Felipe Zeni , Lucas N. Kristen , Claudio Jung

This paper deals with Gibbs samplers that include high dimensional conditional Gaussian distributions. It proposes an efficient algorithm that avoids the high dimensional Gaussian sampling and relies on a random excursion along a small set…

Computation · Statistics 2016-04-20 Olivier Féron , François Orieux , Jean-François Giovannelli

Designing resilient control strategies for mitigating stealthy attacks is a crucial task in emerging cyber-physical systems. In the design of anomaly detectors, it is common to assume Gaussian noise models to maintain tractability; however,…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Venkatraman Renganathan , Navid Hashemi , Justin Ruths , Tyler H. Summers

Safe navigation in new environments requires autonomous vehicles and robots to accurately interpret their surroundings, relying on LiDAR scene segmentation, out-of-distribution (OOD) obstacle detection, and uncertainty computation. We…

Machine Learning · Computer Science 2024-10-14 Hanieh Shojaei , Qianqian Zou , Max Mehltretter

This paper introduces a new technique for learning probabilistic models of mass and friction distributions of unknown objects, and performing robust sliding actions by using the learned models. The proposed method is executed in two…

Robotics · Computer Science 2020-08-06 Changkyu Song , Abdeslam Boularias

We consider robust covariance estimation with group symmetry constraints. Non-Gaussian covariance estimation, e.g., Tyler scatter estimator and Multivariate Generalized Gaussian distribution methods, usually involve non-convex minimization…

Machine Learning · Statistics 2013-06-19 Ilya Soloveychik , Ami Wiesel

Stochastic first-order methods are standard for training large-scale machine learning models. Random behavior may cause a particular run of an algorithm to result in a highly suboptimal objective value, whereas theoretical guarantees are…

Optimization and Control · Mathematics 2024-09-02 Eduard Gorbunov , Marina Danilova , Innokentiy Shibaev , Pavel Dvurechensky , Alexander Gasnikov

We consider the problem of an agent/robot with non-holonomic kinematics avoiding many dynamic obstacles. State and velocity noise of both the robot and obstacles as well as the robot's control noise are modelled as non-parametric…

Precise robotic grasping is important for many industrial applications, such as assembly and palletizing, where the location of the object needs to be controlled and known. However, achieving precise grasps is challenging due to noise in…

Robotics · Computer Science 2019-09-06 Jialiang Zhao , Jacky Liang , Oliver Kroemer

The method of deep learning has achieved excellent results in improving the performance of robotic grasping detection. However, the deep learning methods used in general object detection are not suitable for robotic grasping detection.…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Hu Cao , Guang Chen , Zhijun Li , Jianjie Lin , Alois Knoll

We propose a nonparametric density estimator based on the Gaussian process (GP) and derive three novel closed form learning algorithms based on Fisher divergence (FD) score matching. The density estimator is formed by multiplying a base…

Machine Learning · Computer Science 2025-11-17 John Paisley , Wei Zhang , Brian Barr

Convolutional sparse coding (CSC) can learn representative shift-invariant patterns from multiple kinds of data. However, existing CSC methods can only model noises from Gaussian distribution, which is restrictive and unrealistic. In this…

Machine Learning · Computer Science 2020-04-22 Yaqing Wang , James T. Kwok , Lionel M. Ni

We leverage automatic differentiation (AD) and probabilistic programming to develop an end-to-end optimization algorithm for batch triangulation of a large number of unknown objects. Given noisy detections extracted from noisily geo-located…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Jonathan P. Chen , Fritz Obermeyer , Vladimir Lyapunov , Lionel Gueguen , Noah D. Goodman

Inferring unknown conic sections on the basis of noisy data is a challenging problem with applications in computer vision. A major limitation of the currently available methods for conic sections is that estimation methods rely on the…

Methodology · Statistics 2020-03-05 Subharup Guha , Sujit K. Ghosh

Existing detection methods commonly use a parameterized bounding box (BBox) to model and detect (horizontal) objects and an additional rotation angle parameter is used for rotated objects. We argue that such a mechanism has fundamental…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Xue Yang , Gefan Zhang , Xiaojiang Yang , Yue Zhou , Wentao Wang , Jin Tang , Tao He , Junchi Yan

Standard chance constrained control algorithms typically rely on the assumption that uncertainties in vehicle states obey Gaussian statistics. Highly nonlinear systems tend to disrupt Gaussianity, challenging standard chance-constrained…

Optimization and Control · Mathematics 2026-04-07 Ethan Burnett , Spencer Boone

Collision detection plays an important role in simulation, control, and learning for robotic systems. However, no existing method is differentiable with respect to the configurations of the objects, greatly limiting the sort of algorithms…

Robotics · Computer Science 2022-07-04 Kevin Tracy , Taylor A. Howell , Zachary Manchester

Autonomous hazard detection and avoidance is a key technology for future landing missions in unknown surface conditions. Current state-of-the-art stochastic algorithms assume simple Gaussian measurement noise on dense, high-fidelity digital…

Robotics · Computer Science 2023-05-09 Kento Tomita , Koki Ho