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Probabilistic classifiers output a probability distribution on target classes rather than just a class prediction. Besides providing a clear separation of prediction and decision making, the main advantage of probabilistic models is their…

机器学习 · 计算机科学 2019-02-20 Juozas Vaicenavicius , David Widmann , Carl Andersson , Fredrik Lindsten , Jacob Roll , Thomas B. Schön

Transport-based techniques for signal and data analysis have received increased attention recently. Given their abilities to provide accurate generative models for signal intensities and other data distributions, they have been used in a…

计算机视觉与模式识别 · 计算机科学 2016-09-23 Soheil Kolouri , Serim Park , Matthew Thorpe , Dejan Slepčev , Gustavo K. Rohde

The effective use of available information in extreme value analysis is critical because extreme values are scarce. Thus, using the $r$ largest order statistics (rLOS) instead of the block maxima is encouraged. Based on the four-parameter…

应用统计 · 统计学 2024-10-28 Yire Shin , Jeong-Soo Park

The distribution of waiting times until the occurrence of a critical event is a crucial statistical problem across several disciplines in Science. In this work we present a statistical model in which a relevant quantity X accumulates until…

应用统计 · 统计学 2021-01-12 Vivianne Olguín-Arias , Sergio Davis , Gonzalo Gutiérrez

In Paper I we studied the theory of gravitational microlensing for a planar distribution of point masses. In this second paper, we extend the analysis to a three-dimensional lens distribution. First we study the lensing properties of…

天体物理学 · 物理学 2007-05-23 Man Hoi Lee , Arif Babul , Lev Kofman , Nick Kaiser

We provide the analytic forms of the distributions for the sum of ordered spacings. We do this both for the case where the boundaries are included in the calculation of the spacings and the case where they are excluded. Both the probability…

统计理论 · 数学 2020-08-06 Lolian Shtembari , Allen Caldwell

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

机器学习 · 计算机科学 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

This paper presents an extensive survey of regular distributions in natural and social sciences. The survey includes studies from a wide scope of academic disciplines, in order to create an inventory of the different mathematical functions…

物理与社会 · 物理学 2015-07-14 L. Benguigui , M. Marinov

We derive out naturally some important distributions such as high order normal distributions and high order exponent distributions and the Gamma distribution from a geometrical way. Further, we obtain the exact mean-values of integral form…

概率论 · 数学 2017-05-04 Cheng-shi Liu

Generative diffusion models showed high success in many fields with a powerful theoretical background. They convert the data distribution to noise and remove the noise back to obtain a similar distribution. Many existing reviews focused on…

机器学习 · 计算机科学 2024-09-19 Melike Nur Yeğin , Mehmet Fatih Amasyalı

This paper examines the statistical properties of a distributional form that arises from pooled testing for the prevalence of a binary outcome. Our base distribution is a two-parameter distribution using a prevalence and excess intensity…

统计方法学 · 统计学 2021-08-11 Ben O'Neill , Angus McLure

In this paper, a new three-parameter lifetime distribution is introduced and many of its standard properties are discussed. These include shape of the probability density function, hazard rate function and its shape, quantile function,…

统计方法学 · 统计学 2013-08-21 Min Wang

Preferences of individuals are distributions of elements generated by generalized functions. Models of economic decision-making derived from such distributions are consistent with results of physiological experiments, and explain any…

神经元与认知 · 定量生物学 2012-01-20 Leonid A. Shapiro

This text presents an unified approach of probability and statistics in the pursuit of understanding and computation of randomness in engineering or physical or social system with prediction with generalizability. Starting from elementary…

历史与综述 · 数学 2024-01-19 Lakshman Mahto

In this paper we continue to study {\it quasi associated homogeneous distributions \rm{(}generalized functions\rm{)}} which were introduced in the paper by V.M. Shelkovich, Associated and quasi associated homogeneous distributions…

经典分析与常微分方程 · 数学 2012-05-04 A. V. Kosyak , V. I. Polischook , V. M. Shelkovich

Deferrable load control is essential for handling the uncertainties associated with the increasing penetration of renewable generation. Model predictive control has emerged as an effective approach for deferrable load control, and has…

最优化与控制 · 数学 2014-09-23 Niangjun Chen , Lingwen Gan , Steven H. Low , Adam Wierman

One of the main concepts in quantum physics is a density matrix, which is a symmetric positive definite matrix of trace one. Finite probability distributions are a special case where the density matrix is restricted to be diagonal. Density…

量子物理 · 物理学 2014-08-14 Manfred K. Warmuth , Dima Kuzmin

Despite the long history of modelling human mobility, we continue to lack a highly accurate approach with low data requirements for predicting mobility patterns in cities. Here, we present a population-weighted opportunities model without…

物理与社会 · 物理学 2017-10-03 Xiao-Yong Yan , Chen Zhao , Ying Fan , Zengru Di , Wen-Xu Wang

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

社会与信息网络 · 计算机科学 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

We follow the evolution with sample thickness, of intensity statistics for localized light transmitted through layered media in a crossover from one to three dimensions occasioned by transverse disorder. The probability distribution of…

无序系统与神经网络 · 物理学 2013-05-29 Jongchul Park , Sheng Zhang , Azriel Z. Genack