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In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

机器学习 · 统计学 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri

Functional linear regression is an important topic in functional data analysis. It is commonly assumed that samples of the functional predictor are independent realizations of an underlying stochastic process, and are observed over a grid…

统计方法学 · 统计学 2020-09-15 Cheng Chen , Shaojun Guo , Xinghao Qiao

This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a…

统计方法学 · 统计学 2020-03-06 Matthias Eckardt , Jonatan A. González , Jorge Mateu

We introduce a family of local inhomogeneous mark-weighted summary statistics, of order two and higher, for general marked point processes. Depending on how the involved weight function is specified, these summary statistics capture…

统计方法学 · 统计学 2024-03-13 Nicoletta D'Angelo , Giada Adelfio , Jorge Mateu , Ottmar Cronie

We introduce NeuralMLS, a space-based deformation technique, guided by a set of displaced control points. We leverage the power of neural networks to inject the underlying shape geometry into the deformation parameters. The goal of our…

图形学 · 计算机科学 2022-06-14 Meitar Shechter , Rana Hanocka , Gal Metzer , Raja Giryes , Daniel Cohen-Or

In many instances, imposing a constraint on the shape of a density is a reasonable and flexible assumption. It offers an alternative to parametric models which can be too rigid and to other nonparametric methods requiring the choice of…

统计计算 · 统计学 2021-06-21 Lutz Duembgen , Alexandre Moesching , Christof Straehl

A novel data-driven method for formal verification is proposed to study complex systems operating in safety-critical domains. The proposed approach is able to formally verify discrete-time stochastic dynamical systems against temporal logic…

系统与控制 · 电气工程与系统科学 2024-03-11 Zhi Zhang , Chenyu Ma , Saleh Soudijani , Sadegh Soudjani

We present an unsupervised data-driven approach for non-rigid shape matching. Shape matching identifies correspondences between two shapes and is a fundamental step in many computer vision and graphics applications. Our approach is designed…

计算机视觉与模式识别 · 计算机科学 2023-11-28 Aymen Merrouche , Joao Regateiro , Stefanie Wuhrer , Edmond Boyer

Motivated by the long-standing interest in understanding the role of location for firm performance, this paper provides a semiparametric methodology to accommodate locational heterogeneity in production analysis. Our approach is novel in…

综合经济学 · 经济学 2023-02-28 Emir Malikov , Jingfang Zhang , Shunan Zhao , Subal C. Kumbhakar

Kernel-based multivariate statistical process control (K-MSPC) extends classical monitoring to nonlinear industrial processes. Its performance depends critically on kernel parameters such as lengthscales and variance terms. In current…

Shape restrictions on functional regression coefficients such as non-negativity, monotonicity, convexity or concavity are often available in the form of a prior knowledge or required to maintain a structural consistency in functional…

统计方法学 · 统计学 2022-09-13 Rahul Ghosal , Sujit Ghosh , Jacek Urbanek , Jennifer A. Schrack , Vadim Zipunnikov

This paper considers the prominent problem of change-point detection in regression. The study suggests a novel testing procedure featuring a fully data-driven calibration scheme. The method is essentially a black box, requiring no tuning…

统计理论 · 数学 2019-07-02 Valeriy Avanesov

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

统计方法学 · 统计学 2013-07-30 Axel Gandy , Jan Terje Kvaløy

For various applications, the relations between the dependent and independent variables are highly nonlinear. Consequently, for large scale complex problems, neural networks and regression trees are commonly preferred over linear models…

机器学习 · 计算机科学 2017-05-23 Samet Oymak , Mehrdad Mahdavi , Jiasi Chen

We investigate nonparametric regression methods based on spatial depth and quantiles when the response and the covariate are both functions. As in classical quantile regression for finite dimensional data, regression techniques developed…

统计方法学 · 统计学 2018-02-14 Joydeep Chowdhury , Probal Chaudhuri

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

统计方法学 · 统计学 2021-05-13 Xiaodong Wang , Fushing Hsieh

In this paper, we derive new shape descriptors based on a directional characterization. The main idea is to study the behavior of the shape neighborhood under family of transformations. We obtain a description invariant with respect to…

计算机视觉与模式识别 · 计算机科学 2013-02-26 Xavier Descombes , Serguei Komech

Tracking of reference signals is addressed in the context of a class of nonlinear controlled systems modelled by $r$-th order functional differential equations, encompassing inter alia systems with unknown "control direction" and dead-zone…

最优化与控制 · 数学 2021-01-18 Thomas Berger , Achim Ilchmann , Eugene P Ryan

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

计算机视觉与模式识别 · 计算机科学 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

This paper studies the problem of integrated distributed network localization and formation maneuver control. We develop an integrated relative-measurement-based scheme, which only uses relative positions, distances, bearings, angles,…

系统与控制 · 电气工程与系统科学 2023-11-15 Xu Fang , Lihua Xie , Xiaolei Li