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Random walks as well as diffusions in random media are considered. Methods are developed that allow one to establish large deviation results for both the `quenched' and the `averaged' case.

Probability · Mathematics 2007-05-23 S R S Varadhan

We define several new models for how to define anomalous regions among enormous sets of trajectories. These are based on spatial scan statistics, and identify a geometric region which captures a subset of trajectories which are…

Data Structures and Algorithms · Computer Science 2019-06-06 Michael Matheny , Dong Xie , Jeff M. Phillips

Many different and complementary strategies for translating the basic principle of multiple topological imaging into observational analysis are now available, both for three-dimensional and two-dimensional catalogues.

Astrophysics · Physics 2017-08-23 Boudewijn F. Roukema

We propose a novel approach to anomaly detection called Curvature Anomaly Detection (CAD) and Kernel CAD based on the idea of polyhedron curvature. Using the nearest neighbors for a point, we consider every data point as the vertex of a…

Machine Learning · Computer Science 2020-05-14 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

We present a spectrum of trace-based, testing, and bisimulation equivalences for nondeterministic and probabilistic processes whose activities are all observable. For every equivalence under study, we examine the discriminating power of…

Logic in Computer Science · Computer Science 2013-06-13 Marco Bernardo , Rocco De Nicola , Michele Loreti

Estimating the relative rigid pose between two RGB-D scans of the same underlying environment is a fundamental problem in computer vision, robotics, and computer graphics. Most existing approaches allow only limited maximum relative pose…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Zhenpei Yang , Jeffrey Z. Pan , Linjie Luo , Xiaowei Zhou , Kristen Grauman , Qixing Huang

Most major discoveries in astronomy are unplanned, and result from surveying the Universe in a new way, rather than by testing a hypothesis or conducting an investigation with planned outcomes. For example, of the 10 greatest discoveries…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 Ray P Norris

Subspace clustering methods have been widely studied recently. When the inputs are 2-dimensional (2D) data, existing subspace clustering methods usually convert them into vectors, which severely damages inherent structures and relationships…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Chong Peng , Qian Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

During about 30 years, a lot of research teams have worked on the big challenge of detection of moving objects in various challenging environments. First applications concern static cameras but with the rise of the mobile sensors studies on…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Marie-Neige Chapel , Thierry Bouwmans

In Pose-based Video Anomaly Detection prior art is rooted on the assumption that abnormal events can be mostly regarded as a result of uncommon human behavior. Opposed to utilizing skeleton representations of humans, however, we investigate…

Computer Vision and Pattern Recognition · Computer Science 2025-03-30 Mia Siemon , Ivan Nikolov , Thomas B. Moeslund , Kamal Nasrollahi

Numerous methods for human activity recognition have been proposed in the past two decades. Many of these methods are based on sparse representation, which describes the whole video content by a set of local features. Trajectories, being…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Pejman Habashi , Boubakeur Boufama , Imran Shafiq Ahmad

Two-dimensional (2D) materials have attracted extensive attention due to their unique characteristics and application potentials. Raman spectroscopy, as a rapid and non-destructive probe, exhibits distinct features and holds notable…

Applied Physics · Physics 2023-12-05 Yaping Qi , Dan Hu , Zhenping Wu , Ming Zheng , Guanghui Cheng , Yucheng Jiang , Yong P. Chen

To reconstruct the points in three dimensional space, we need at least two images. In this paper we compared two different methods: the first uses only two images, the second one uses three. During the research we measured how camera…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Zsolt Levente Kucsván

Face recognition has been an active research area in the past few decades. In general, face recognition can be very challenging due to variations in viewpoint, illumination, facial expression, etc. Therefore it is essential to extract…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Shervin Minaee , Amirali Abdolrashidi , Yao Wang

In this paper, a novel technique named random subspace two-dimensional LDA (RS-2DLDA) is developed for face recognition. This approach offers a number of improvements over the random subspace two-dimensional PCA (RS2DPCA) framework…

Computer Vision and Pattern Recognition · Computer Science 2017-11-03 Garrett Bingham

Computational imaging has been playing a vital role in the development of natural sciences. Advances in sensory, information, and computer technologies have further extended the scope of influence of imaging, making digital images an…

Image and Video Processing · Electrical Eng. & Systems 2022-02-25 Bin Dong

The two-sample problem, which consists in testing whether independent samples on $\mathbb{R}^d$ are drawn from the same (unknown) distribution, finds applications in many areas. Its study in high-dimension is the subject of much attention,…

Statistics Theory · Mathematics 2023-02-09 Stephan Clémençon , Myrto Limnios , Nicolas Vayatis

Preprocessing data is an important step before any data analysis. In this paper, we focus on one particular aspect, namely scaling or normalization. We analyze various scaling methods in common use and study their effects on different…

Machine Learning · Statistics 2017-09-05 Ting Li , Bingyi Jing , Ningchen Ying , Xianshi Yu

In this paper we start with a simple question, how is it possible that humans can recognize different movements over skin with only a prior visual experience of them? Or in general, what is the representation of spatial sequences that are…

Artificial Intelligence · Computer Science 2023-11-14 Viacheslav M. Osaulenko

There are two different strategies of followup observations for the detection of planets by using microlensing. One is detecting the light curve anomalies affected by the planetary caustic from continuous monitoring of all events detected…

Astrophysics · Physics 2009-10-31 Cheongho Han , Yong-Gi Kim