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The traditional Simultaneous Localization And Mapping (SLAM) systems rely on the assumption of a static environment and fail to accurately estimate the system's location when dynamic objects are present in the background. While…

Robotics · Computer Science 2023-02-24 Yaoming Zhuang , Pengrun Jia , Zheng Liu , Li Li , Chengdong Wu , Wei cui , Zhanlin Liu

We present a fast algorithm for global rigid symmetry detection with approximation guarantees. The algorithm is guaranteed to find the best approximate symmetry of a given shape, to within a user-specified threshold, with very high…

Computational Geometry · Computer Science 2016-09-20 Simon Korman , Roee Litman , Shai Avidan , Alex Bronstein

In this paper, we propose novel, fully Bayesian non-parametric tests for one-sample and two-sample multivariate location problems. We model the underlying distribution using a Dirichlet process prior, and develop a testing procedure based…

Statistics Theory · Mathematics 2021-08-03 Indrabati Bhattacharya , Subhashis Ghosal

In this article, we propose a new class of priors for Bayesian inference with multiple Gaussian graphical models. We introduce fully Bayesian treatments of two popular procedures, the group graphical lasso and the fused graphical lasso, and…

Machine Learning · Statistics 2019-05-13 Zehang Richard Li , Tyler H. McCormick , Samuel J. Clark

We study Gabor frames with Hermite window functions. Gr\"ochenig and Lyubarskii provided a sufficient density condition for their frame sets, which leads to what we call the "safety region". For rectangular lattices and Hermite windows of…

Functional Analysis · Mathematics 2025-04-07 Markus Faulhuber , Irina Shafkulovska , Ilya Zlotnikov

In this work, we propose a new physical layer security framework for optical space networks. More precisely, we consider two practical eavesdropping scenarios: free-space optical (FSO) eavesdropping in the space and FSO eavesdropping in the…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Olfa Ben Yahia , Eylem Erdogan , Gunes Karabulut Kurt , Ibrahim Altunbas , Halim Yanikomeroglu

We propose a novel approach for fast and accurate stereo visual Simultaneous Localization and Mapping (SLAM) independent of feature detection and matching. We extend monocular Direct Sparse Odometry (DSO) to a stereo system by optimizing…

Robotics · Computer Science 2021-12-06 Jiawei Mo , Md Jahidul Islam , Junaed Sattar

Strong gravitational lensing offers a compelling test of the cold dark matter paradigm, as it allows for subhaloes with masses of $\sim10^{9}$ M$_\odot$ and below to be detected. We test commonly-used techniques for detecting subhaloes…

The development of compact and energy-efficient wearable sensors has led to an increase in the availability of biosignals. To analyze these continuously recorded, and often multidimensional, time series at scale, being able to conduct…

Machine Learning · Computer Science 2022-08-02 Knut J. Strømmen , Jim Tørresen , Ulysse Côté-Allard

We propose an algorithm-independent framework to equip existing optimization methods with primal-dual certificates. Such certificates and corresponding rate of convergence guarantees are important for practitioners to diagnose progress, in…

Machine Learning · Computer Science 2016-06-06 Celestine Dünner , Simone Forte , Martin Takáč , Martin Jaggi

Manipulation of the detected backscattered Rayleigh signal inside the bandwidth of a frequency-swept optical sub-carrier propagating into an optical fiber permits an efficient localization of faults through a Fourier operator. When the…

Signal Processing · Electrical Eng. & Systems 2019-01-01 Raphael Saavedra , Pedro Tovar , Gustavo C. Amaral , Bruno Fanzeres

We propose a weakly-supervised framework for the semantic segmentation of circular-scan synthetic-aperture-sonar (CSAS) imagery. The first part of our framework is trained in a supervised manner, on image-level labels, to uncover a set of…

We propose a new testing procedure of heteroskedasticity in high-dimensional linear regression, where the number of covariates can be larger than the sample size. Our testing procedure is based on residuals of the Lasso. We demonstrate that…

Statistics Theory · Mathematics 2022-11-01 Akira Shinkyu

We propose a residual randomization procedure designed for robust Lasso-based inference in the high-dimensional setting. Compared to earlier work that focuses on sub-Gaussian errors, the proposed procedure is designed to work robustly in…

Methodology · Statistics 2021-08-20 Y. Samuel Wang , Si Kai Lee , Panos Toulis , Mladen Kolar

It is well known that the Lasso can be interpreted as a Bayesian posterior mode estimate with a Laplacian prior. Obtaining samples from the full posterior distribution, the Bayesian Lasso, confers major advantages in performance as compared…

Computation · Statistics 2018-01-09 Marcela Mendoza , Alexis Allegra , Todd P. Coleman

Convex sparsity-promoting regularizations are ubiquitous in modern statistical learning. By construction, they yield solutions with few non-zero coefficients, which correspond to saturated constraints in the dual optimization formulation.…

Machine Learning · Statistics 2017-05-02 Mathurin Massias , Alexandre Gramfort , Joseph Salmon

This work presents an extension of graph-based SLAM methods to exploit the potential of 3D laser scans for loop detection. Every high-dimensional point cloud is replaced by a compact global descriptor, whereby a trained detector decides…

Robotics · Computer Science 2022-07-12 Tim-Lukas Habich , Marvin Stuede , Mathieu Labbé , Svenja Spindeldreier

Distributed acoustic sensing (DAS) is a relatively new technology for recording stress wave propagation, with promising applications in both engineering and geophysics. DAS's ability to simultaneously collect high spatial resolution data…

Geophysics · Physics 2022-10-27 Michael B. S. Yust , Brady R. Cox , Joseph P. Vantassel , Peter G. Hubbard

Convex estimators such as the Lasso, the matrix Lasso and the group Lasso have been studied extensively in the last two decades, demonstrating great success in both theory and practice. Two quantities are introduced, the noise barrier and…

Statistics Theory · Mathematics 2025-01-07 Pierre C Bellec

Predictor screening rules, which discard predictors before fitting a model, have had considerable impact on the speed with which sparse regression problems, such as the lasso, can be solved. In this paper we present a new screening rule for…

Machine Learning · Statistics 2024-05-14 Johan Larsson , Jonas Wallin
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