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Scatter plots carry an implicit if subtle message about causality. Whether we look at functions of one variable in pure mathematics, plots of experimental measurements as a function of the experimental conditions, or scatter plots of…

人机交互 · 计算机科学 2018-09-26 Carl T. Bergstrom , Jevin D. West

This work studies the learning ability of consensus and diffusion distributed learners from continuous streams of data arising from different but related statistical distributions. Four distinctive features for diffusion learners are…

最优化与控制 · 数学 2016-07-19 Zaid J. Towfic , Jianshu Chen , Ali H. Sayed

Fair clustering has attracted remarkable attention from the research community. Many fairness measures for clustering have been proposed; however, they do not take into account the clustering quality w.r.t. the values of the protected…

机器学习 · 计算机科学 2025-07-02 Tai Le Quy , Long Le Thanh , Lan Luong Thi Hong , Frank Hopfgartner

Training classification models on imbalanced data tends to result in bias towards the majority class. In this paper, we demonstrate how variable discretization and cost-sensitive logistic regression help mitigate this bias on an imbalanced…

应用统计 · 统计学 2019-07-29 Lili Zhang , Herman Ray , Jennifer Priestley , Soon Tan

In this paper we consider how to evaluate survival distribution predictions with measures of discrimination. This is a non-trivial problem as discrimination measures are the most commonly used in survival analysis and yet there is no clear…

机器学习 · 统计学 2022-03-10 Raphael Sonabend , Andreas Bender , Sebastian Vollmer

The area under a receiver operating characteristic curve (AUC) is a useful tool to assess the performance of continuous-scale diagnostic tests on binary classification. In this article, we propose an empirical likelihood (EL) method to…

统计方法学 · 统计学 2022-05-05 Chul Moon , Xinlei Wang , Johan Lim

In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the measure of portfolio variance, or indirectly by quantities…

统计金融 · 定量金融 2017-07-31 Thomas Schürmann , Ingo Hoffmann

In this extended abstract, we will present and discuss opportunities and challenges brought about by a new deep learning method by AUC maximization (aka \underline{\bf D}eep \underline{\bf A}UC \underline{\bf M}aximization or {\bf DAM}) for…

机器学习 · 计算机科学 2021-11-05 Tianbao Yang

Here, we explain and illustrate a geometric perspective on causal inference in cohort studies that can help epidemiologists understand the role of standardization in causal inference as well as the distinctions between confounding, effect…

统计理论 · 数学 2025-06-27 Eben Kenah

We consider the problem of finding an optimal history-dependent routing strategy on a directed graph weighted by stochastic arc costs when the objective is to minimize the risk of spending more than a prescribed budget. To help mitigate the…

数据结构与算法 · 计算机科学 2016-02-23 Arthur Flajolet , Sebastien Blandin , Patrick Jaillet

This study presents an innovative method for reducing the number of rating scale items without predictability loss. The "area under the re- ceiver operator curve method" (AUC ROC) is used to implement in the RatingScaleReduction package…

统计计算 · 统计学 2017-03-21 Waldemar W. Koczkodaj , Alicja Wolny-Dominiak

In this paper we study the volatility and its probability distribution function for the cumulative production based on the experience curve hypothesis. This work presents a generalization of the study of volatility in [1], which addressed…

综合金融 · 定量金融 2018-01-17 Rubina Zadourian , Andreas Klümper

Realistic modeling of scattering from curved metallic bodies - such as vehicles and roadside structures - is essential for cellular and vehicular channel modeling as well as radar applications. A practical approach is to approximate curved…

信号处理 · 电气工程与系统科学 2026-04-08 Ainur Ziganshin , Enrico M. Vitucci , Wim Kotterman , Reiner Thomae , Christian Schneider , Vittorio Degli-Esposti

Capital distribution curve is defined as log-log plot of normalized stock capitalizations ranked in descending order. The curve displays remarkable stability over periods of time. Theory of exchangeable distributions on set partitions,…

数理金融 · 定量金融 2015-07-09 Sergey Sosnovskiy

For an unknown continuous distribution on a real line, we consider the approximate estimation by the discretization. There are two methods for the discretization. First method is to divide the real line into several intervals before taking…

统计理论 · 数学 2017-10-12 Yo Sheena

Characterizing the connectivity tendency of a network is a fundamental problem in network science. The traditional and well-known assortativity coefficient is calculated on a per-network basis, which is of little use to partial connection…

物理与社会 · 物理学 2013-01-01 Guo-Qing Zhang , Su-Qi Cheng , Guo-Qiang Zhang

Epidemic disease spreading is conventionally often modelled and analyzed by means of rate and diffusion equations, following the paradigms of well-controlled chemical reactions and diffusive dynamics in a test tube. Yet, serious worries…

物理与社会 · 物理学 2023-01-03 Klaus Kroy

We present an approach to derivative exposure management based on subjective and implied probabilities. We suggest to maximize the valuation difference subject to risk constraints and propose a class of risk measures derived from the…

投资组合管理 · 定量金融 2010-04-08 Ulrich Kirchner

Performance measurement is an essential task once a statistical model is created. The Area Under the receiving operating characteristics Curve (AUC) is the most popular measure for evaluating the quality of a binary classifier. In this…

统计计算 · 统计学 2021-05-24 Robin Van Oirbeek , Jolien Ponnet , Tim Verdonck

We register a stochastic sequence affected by one disorder. Monitoring of the sequence is made in the circumstances when not full information about distributions before and after the change is available. The initial problem of disorder…

概率论 · 数学 2020-11-17 Wojciech Sarnowski , Krzysztof Szajowski
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