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The recent empirical work of Amaya et al. (2015) has pointed out that the realized skewness, which is the sample skewness of intraday high-frequency returns of a financial asset, serves as forecasting future returns in the cross-section.…

Statistics Theory · Mathematics 2018-01-22 Yuta Koike , Zhi Liu

This work focuses on multi-target tracking in Video synthetic aperture radar. Specifically, we refer to tracking based on targets' shadows. Current methods have limited accuracy as they fail to consider shadows' characteristics and…

Image and Video Processing · Electrical Eng. & Systems 2022-11-30 Xiaochuan Ni , Xiaoling Zhang , Xu Zhan , Zhenyu Yang , Jun Shi , Shunjun Wei , Tianjiao Zeng

In the field of generic object tracking numerous attempts have been made to exploit deep features. Despite all expectations, deep trackers are yet to reach an outstanding level of performance compared to methods solely based on handcrafted…

Computer Vision and Pattern Recognition · Computer Science 2018-04-19 Goutam Bhat , Joakim Johnander , Martin Danelljan , Fahad Shahbaz Khan , Michael Felsberg

In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic property also for continuous circle maps. In particular,…

Dynamical Systems · Mathematics 2021-04-12 Jozef Bobok , Jernej Činč , Piotr Oprocha , Serge Troubetzkoy

In this paper, subsystems with shadowing property for $\mathbb{Z}^{k}$-actions are investigated. Let $\alpha$ be a continuous $\mathbb{Z}^{k}$-action on a compact metric space $X$. We introduce the notions of pseudo orbit and shadowing…

Dynamical Systems · Mathematics 2021-11-02 Lin Wang , Xinsheng Wang , Yujun Zhu

The paper explores the shadow of the repulsive Rutherford scattering - the portion of space entirely shielded from admitting any particle trajectory. The geometric properties of the projectile shadow are analyzed in detail in the…

Classical Physics · Physics 2020-10-09 Petar Žugec , Ivan Topić

Autonomous Vehicles (AVs) are mostly reliant on LiDAR sensors which enable spatial perception of their surroundings and help make driving decisions. Recent works demonstrated attacks that aim to hide objects from AV perception, which can…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Zhongyuan Hau , Soteris Demetriou , Emil C. Lupu

The subject of features normalization plays an important central role in data representation, characterization, visualization, analysis, comparison, classification, and modeling, as it can substantially influence and be influenced by all of…

Machine Learning · Computer Science 2024-09-18 Alexandre Benatti , Luciano da F. Costa

Ensemble methods that average over a collection of independent predictors that are each limited to a subsampling of both the examples and features of the training data command a significant presence in machine learning, such as the…

Machine Learning · Statistics 2020-03-26 Daniel LeJeune , Hamid Javadi , Richard G. Baraniuk

Metric of axially symmetric asymptotically flat black holes in an arbitrary metric theory of gravity can be represented in the general form which depends on infinite number of parameters. We constrain this general class of metrics by…

General Relativity and Quantum Cosmology · Physics 2021-05-20 R. A. Konoplya , A. Zhidenko

The explicit incorporation of task-specific inductive biases through symmetry has emerged as a general design precept in the development of high-performance machine learning models. For example, group equivariant neural networks have…

Machine Learning · Computer Science 2025-04-21 Mircea Petrache , Shubhendu Trivedi

In some estimation problems, especially in applications dealing with information theory, signal processing and biology, theory provides us with additional information allowing us to restrict the parameter space to a finite number of points.…

Methodology · Statistics 2012-07-25 Christine Choirat , Raffaello Seri

3D reconstruction is a fundamental problem in computer vision, and the task is especially challenging when the object to reconstruct is partially or fully occluded. We introduce a method that uses the shadows cast by an unobserved object in…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Ruoshi Liu , Sachit Menon , Chengzhi Mao , Dennis Park , Simon Stent , Carl Vondrick

Performance accuracy of the Euclidean Distance Discriminant rule (EDDR) is studied in the high-dimensional asymptotic framework which allows the dimensionality to exceed sample size. Under mild assumptions on the traces of the covariance…

Statistics Theory · Mathematics 2014-03-04 H. Watanabe , M. Hyodo , T. Seo , T. Pavlenko

Classical shadows (CS) have emerged as a powerful way to estimate many properties of quantum states based on random measurements and classical post-processing. In their original formulation, they come with optimal (or close to) sampling…

Quantum Physics · Physics 2024-08-13 Frederic Sauvage , Martin Larocca

Shadow detection is crucial for accurate scene understanding in computer vision, yet it is challenged by the diverse appearances of shadows caused by variations in illumination, object geometry, and scene context. Deep learning models often…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Leyi Zhu , Weihuang Liu , Xinyi Chen , Zimeng Li , Xuhang Chen , Zhen Wang , Chi-Man Pun

Shadow removal aims at restoring the image content within shadow regions, pursuing a uniform distribution of illumination that is consistent between shadow and non-shadow regions. {Comparing to other image restoration tasks, there are two…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Laniqng Guo , Chong Wang , Yufei Wang , Yi Yu , Siyu Huang , Wenhan Yang , Alex C. Kot , Bihan Wen

We assign a measure to an upper semicontinuous function which is subharmonic with respect to the mean curvature operator, so that it agrees with the mean curvature of its graph when the function is smooth. We prove that the measure is…

Analysis of PDEs · Mathematics 2009-12-03 Qiuyi Dai , Neil Trudinger , Xujia Wang

The Assouad and quasi-Assouad dimensions of a metric space provide information about the extreme local geometric nature of the set. The Assouad dimension of a set has a measure theoretic analogue, which is also known as the upper regularity…

Metric Geometry · Mathematics 2018-11-15 Kathryn Hare , Kevin Hare , Sascha Troscheit

The presence of a quintessence-like field can influence the black hole shadow through three primary mechanisms: the dynamics of accretion flows, the trajectories of photons, and the motion of observers. Unlike standard shadow analyses that…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Ji-Wen Li , Zi-Liang Wang , Tao-Tao Sui