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The development of science has been transforming man's view towards nature for centuries. Observing structures and patterns in an effective approach to discover regularities from data is a key step toward theory-building. With increasingly…

计算物理 · 物理学 2025-06-09 Guang-Xing Li

The observation of objects located in inaccessible regions is a recurring challenge in a wide variety of important applications. Recent work has shown that indirect diffuse light reflections can be used to reconstruct objects and…

计算机视觉与模式识别 · 计算机科学 2017-05-09 Jonathan Klein , Christoph Peters , Jaime Martín , Martin Laurenzis , Matthias B. Hullin

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

机器学习 · 统计学 2016-05-25 Alp Kucukelbir , David M. Blei

The R-package REPPlab is designed to explore multivariate data sets using one-dimensional unsupervised projection pursuit. It is useful in practice as a preprocessing step to find clusters or as an outlier detection tool for multivariate…

统计计算 · 统计学 2024-09-10 Daniel Fischer , Alain Berro , Klaus Nordhausen , Anne Ruiz-Gazen

The problem of obtaining optimal projections for performing discriminant analysis with Gaussian class densities is studied. Unlike in most existing approaches to the problem, the focus of the optimisation is on the multinomial likelihood…

统计方法学 · 统计学 2020-04-08 David P. Hofmeyr , Francois Kamper , Michail C. Melonas

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

数值分析 · 数学 2025-10-20 Veit Elser

Most tracking-by-detection methods employ a local search window around the predicted object location in the current frame assuming the previous location is accurate, the trajectory is smooth, and the computational capacity permits a search…

计算机视觉与模式识别 · 计算机科学 2016-05-09 Gao Zhu , Fatih Porikli , Hongdong Li

Changepoints are a very common feature of Big Data that arrive in the form of a data stream. In this paper, we study high-dimensional time series in which, at certain time points, the mean structure changes in a sparse subset of the…

统计方法学 · 统计学 2017-03-21 Tengyao Wang , Richard J. Samworth

This paper reports the use of Tracker as a pedagogical tool in the effective learning and teaching of projectile motion in physics. When computer model building learning processes is supported and driven by video analysis data, this free…

物理教育 · 物理学 2015-12-25 Loo Kang Wee , Charles Chew , Giam Hwee Goh , Samuel Tan , Tat Leong Lee

Multivariate regression models are widely used in various fields such as biology and finance. In this paper, we focus on two key challenges: (a) When should we favor a multivariate model over a series of univariate models; (b) If the…

统计方法学 · 统计学 2020-03-25 Yuehan Yang , Siwei Xia , Hu Yang

The diversity of patterns that emerge from complex systems motivates their use for scientific or artistic purposes. When exploring these systems, the challenges faced are the size of the parameter space and the strongly non-linear mapping…

机器学习 · 计算机科学 2025-10-02 Bastien Morel , Clément Moulin-Frier , Pascal Barla

Projections, or dimensionality reduction methods, are techniques of choice for the visual exploration of high-dimensional data. Many such techniques exist, each one of them having a distinct visual signature - i.e., a recognizable way to…

人机交互 · 计算机科学 2026-02-25 Alister Machado , Alexandru Telea , Michael Behrisch

In order to manipulate a deformable object, such as rope or cloth, in unstructured environments, robots need a way to estimate its current shape. However, tracking the shape of a deformable object can be challenging because of the object's…

机器人学 · 计算机科学 2020-11-03 Yixuan Wang , Dale McConachie , Dmitry Berenson

A circular pursuit guidance problem involving pursuer-target engagement is studied in this paper using a bifurcation theory based numerical approach. While target is modeled as a point mass moving around in a circle with certain velocity,…

系统与控制 · 电气工程与系统科学 2026-04-13 Kavita Shekhawat , Nandan K Sinha

Selecting the dimensionality reduction technique that faithfully represents the structure is essential for reliable visual communication and analytics. In reality, however, practitioners favor projections for other attractions, such as…

人机交互 · 计算机科学 2025-07-29 Seoyoung Doh , Hyeon Jeon , Sungbok Shin , Ghulam Jilani Quadri , Nam Wook Kim , Jinwook Seo

Sequential monitoring of images has broad applications across various domains, including climate science, ecosystem monitoring, medical diagnostics, and so forth. In many such applications, images acquired over time exhibit gradual changes,…

应用统计 · 统计学 2025-06-18 Subhasish Basak , Anik Roy , Partha Sarathi Mukherjee

Understanding high-dimensional data requires projecting it into lower-dimensional spaces, but any single projection inevitably loses information or introduces distortions. Tours address this limitation through animation of 2D projection…

人机交互 · 计算机科学 2026-05-07 Fritz Lekschas , Nezar Abdennur

Probing signal injection is a well-established technique to extract additional information from a weakly (or non) observable dynamical system. Using averaging theory, a framework to analyse such schemes for general nonlinear systems has…

系统与控制 · 计算机科学 2019-11-20 Bowen Yi , Romeo Ortega , Houria Siguerdidjane , Juan E. Machado , Weidong Zhang

We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on curves for instance. The proposed principle and algorithm are…

数值分析 · 数学 2019-02-05 Frédéric de Gournay , Jonas Kahn , Léo Lebrat , Pierre Weiss

Isometry pursuit is a convex algorithm for identifying orthonormal column-submatrices of wide matrices. It consists of a novel normalization method followed by multitask basis pursuit. Applied to Jacobians of putative coordinate functions,…

机器学习 · 统计学 2026-05-28 Samson Koelle , Marina Meila