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In many robotics applications, it is necessary to compute not only the distance between the robot and the environment, but also its derivative - for example, when using control barrier functions. However, since the traditional Euclidean…

Nearest neighbor methods have become popular in official statistics, mainly in imputation or in statistical matching problems; they play a key role in machine learning too, where a high number of variants have been proposed. The choice of…

机器学习 · 统计学 2021-01-08 Marcello D'Orazio

Dempster-Shafer theory of evidence (D-S theory) is widely used in uncertain information process. The basic probability assignment(BPA) is a key element in D-S theory. How to measure the distance between two BPAs is an open issue. In this…

人工智能 · 计算机科学 2013-11-19 Hongming Mo , Xiaoyan Su , Yong Hu , Yong Deng

This paper presents a probabilistic generalization of the Generalized Optimal Sub-Pattern Assignment (GOSPA) metric, termed P-GOSPA. The GOSPA metric has been widely used to evaluate the distance between finite sets, particularly in…

信号处理 · 电气工程与系统科学 2025-06-17 Yuxuan Xia , Ángel F. García-Fernández , Johan Karlsson , Kuo-Chu Chang , Ting Yuan , Lennart Svensson

An upper bound for Zolotarev distances between probability measures on multidimensional Euclidean spaces is given in terms of similar distances between one dimensional projections.

概率论 · 数学 2025-06-24 Sergey G. Bobkov , Friedrich Götze

This paper proposes a new method of probabilistic prediction, which is based on conformal prediction. The method is applied to the standard USPS data set and gives encouraging results.

机器学习 · 计算机科学 2014-06-24 Vladimir Vovk , Ivan Petej , Valentina Fedorova

Tests for proportional hazards assumption concerning specified covariates or groups of covariates are proposed. The class of alternatives is wide: log-hazard rates under different values of covariates may cross, approach, go away. The data…

统计理论 · 数学 2020-01-20 Vilijandas Bagdonavičius , Rūta Levulienė

A method for computing probabilistic propositions is presented. It assumes the availability of a single external routine for computing the probability of one instantiated variable, given a conjunction of other instantiated variables. In…

人工智能 · 计算机科学 2013-04-11 Gregory F. Cooper

We consider the problem of obtaining relative location information between two wireless nodes from the differences in their ultra-wideband (UWB) channels to observer nodes. Our approach focuses on the delays of multipath components (MPCs)…

信号处理 · 电气工程与系统科学 2022-06-08 Gregor Dumphart , Robin Kramer , Armin Wittneben

A tie-breaking method is proposed for choosing the predicted class, or outcome, in a decision tree. The method is an adaptation of a similar technique used for deodata predictors.

机器学习 · 计算机科学 2022-02-10 Cristian Alb

An approximation method is presented for probabilistic inference with continuous random variables. These problems can arise in many practical problems, in particular where there are "second order" probabilities. The approximation, based on…

人工智能 · 计算机科学 2013-04-10 Ross D. Shachter

Dempster-Shafer theory is widely applied in uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. A distance between two basic probability assignments(BPAs) presents a measure of performance…

人工智能 · 计算机科学 2014-04-15 Meizhu Li , Qi Zhang , Xinyang Deng , Yong Deng

Maximum composite likelihood estimation is a useful alternative to maximum likelihood estimation when data arise from data generating processes (DGPs) that do not admit tractable joint specification. We demonstrate that generic composite…

统计方法学 · 统计学 2021-06-29 Hien D Nguyen , Jessica Bagnall-Guerreiro , Andrew T Jones

Possibilistic and qualitative POMDPs (pi-POMDPs) are counterparts of POMDPs used to model situations where the agent's initial belief or observation probabilities are imprecise due to lack of past experiences or insufficient data…

人工智能 · 计算机科学 2013-09-27 Nicolas Drougard , Florent Teichteil-Konigsbuch , Jean-Loup Farges , Didier Dubois

The aim of this paper is to introduce new statistical criterions for estimation, suitable for inference in models with common continuous support. This proposal is in the direct line of a renewed interest for divergence based inference tools…

统计理论 · 数学 2015-03-19 Michel Broniatowski , Aida Toma , Igor Vajda

The Particle Data Group recommends a set of procedures to be applied when discrepant data are to be combined. We introduce an alternative method based on a more general and solid statistical framework, providing a robust way to include…

数据分析、统计与概率 · 物理学 2020-07-15 Jens Erler , Rodolfo Ferro-Hernandez

In contrast to a maximum-likelihood decoder, it is often desirable to use an incomplete decoder that can detect its decoding errors with high probability. One common choice is the bounded distance decoder. Bounds are derived for the total…

信息论 · 计算机科学 2012-07-26 Kenneth Andrews , Sam Dolinar

The metric Bezout Theorem proved in an earlier paper can be extended to a derivative version that compares derivatives of the algebraic distance of a point $\theta$ to two properly intersecting cycles in projective space with the…

代数几何 · 数学 2009-01-27 Heinrich Massold

The computation of Gaussian orthant probabilities has been extensively studied for low-dimensional vectors. Here, we focus on the high-dimensional case and we present a two-step procedure relying on both deterministic and stochastic…

统计方法学 · 统计学 2018-12-03 Dario Azzimonti , David Ginsbourger

Nearest-neighbor methods have become popular in statistics and play a key role in statistical learning. Important decisions in nearest-neighbor methods concern the variables to use (when many potential candidates exist) and how to measure…

统计方法学 · 统计学 2024-01-31 Marcello D'Orazio
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