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Consider a subject or unit in a longitudinal biomedical, public health, engineering, economic, or social science study which is being monitored over a possibly random duration. Over time this unit experiences competing recurrent events and…

统计方法学 · 统计学 2024-12-30 Lili Tong , Piaomu Liu , Edsel Pena

Can machine learning help discover new mathematical structures? In this article we discuss an approach to doing this which one can call "mathematical data science". In this paradigm, one studies mathematical objects collectively rather than…

历史与综述 · 数学 2025-02-14 Michael R. Douglas , Kyu-Hwan Lee

Currently, knowledge discovery in databases is an essential step to identify valid, novel and useful patterns for decision making. There are many real-world scenarios, such as bankruptcy prediction, option pricing or medical diagnosis,…

The growing deployment of decision-making agents in dynamic environments increases the demand for safety verification. While critical testing scenario generation has emerged as an appealing verification methodology, effectively balancing…

机器学习 · 计算机科学 2025-08-18 Qitong Chu , Yufeng Yue , Danya Yao , Huaxin Pei

A new inequality between some functional of probability distribution functions is given. The inequality is based on strict convexity of a function used in functional definition. Equality sign in the inequality gives a characteristic…

概率论 · 数学 2018-05-18 Lev B. Klebanov , Irina V. Volchenkova

Adoption of machine learning models in healthcare requires end users' trust in the system. Models that provide additional supportive evidence for their predictions promise to facilitate adoption. We define consistent evidence to be both…

计算机视觉与模式识别 · 计算机科学 2021-11-16 Peiqi Wang , Ruizhi Liao , Daniel Moyer , Seth Berkowitz , Steven Horng , Polina Golland

In this paper, we draw attention to a promising yet slightly underestimated measure of variability - the Gini coefficient. We describe two new ways of defining and interpreting this parameter. Using our new representations, we compute the…

统计理论 · 数学 2022-10-13 Marta Milewska , Remco van der Hofstad , Bert Zwart

The tension between qualitative theorizing and quantitative methods is pervasive in the social sciences, and poses a constant challenge to empirical research. But in science studies as an interdisciplinary specialty, there are additional…

数字图书馆 · 计算机科学 2015-05-25 Loet Leydesdorff

Evaluating whether data streams are drawn from the same distribution is at the heart of various machine learning problems. This is particularly relevant for data generated by dynamical systems since such systems are essential for many…

Medical automatic diagnosis aims to imitate human doctors in real-world diagnostic processes and to achieve accurate diagnoses by interacting with the patients. The task is formulated as a sequential decision-making problem with a series of…

机器学习 · 计算机科学 2022-06-07 Hongyi Yuan , Sheng Yu

Discrete-value time series are sequences of measurements where each measurement is a discrete (categorical or integer) value. These time series are widely used in various fields, and their classification and clustering are essential for…

离散数学 · 计算机科学 2023-11-28 Artyom Gevorgyan , Albert Gevorgyan

This paper deals with diagnosability of discrete-time nonlinear systems with unknown inputs and quantized outputs. We propose a novel notion of diagnosability that we term approximate diagnosability, corresponding to the possibility of…

最优化与控制 · 数学 2017-04-10 Elena De Santis , Giordano Pola , Maria Domenica Di Benedetto

A novel approach to evaluation of hardware and software testability, represented in the form of register transfer graph, is proposed. Instances of making of software graph models for their subsequent testing and diagnosis are shown.

硬件体系结构 · 计算机科学 2016-11-17 Svetlana Chumachenko , Wajeb Gharibi , Anna Hahanova , Aleksey Sushanov

There is an implicit assumption in software testing that more diverse and varied test data is needed for effective testing and to achieve different types and levels of coverage. Generic approaches based on information theory to measure and…

软件工程 · 计算机科学 2017-09-19 Robert Feldt , Simon Poulding

The first step in evaluating a potential diagnostic biomarker is to examine the variation in its values across different disease groups. In a three-class disease setting, the volume under the receiver operating characteristic surface and…

统计方法学 · 统计学 2025-04-18 Zhaoxi Zhang , Vanda Inacio , Miguel de Carvalho

Entropy is a famous and well established concept in physics and engineering that can be used for explanation of basic fundamentals as well it finds applications in several areas, from quantum physics to astronomy, from network communication…

量子物理 · 物理学 2020-01-03 R. V. Ramos

Deep Learning sets the state-of-the-art in many challenging tasks showing outstanding performance in a broad range of applications. Despite its success, it still lacks robustness hindering its adoption in medical applications. Modeling…

计算机视觉与模式识别 · 计算机科学 2019-09-19 Agnieszka Tomczack , Nassir Navab , Shadi Albarqouni

We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test…

统计方法学 · 统计学 2022-10-27 Philipp Eller , Lolian Shtembari

It is often the case that risk assessment and prognostics are viewed as related but separate tasks. This chapter describes a risk-based approach to prognostics that seeks to provide a tighter coupling between risk assessment and fault…

系统与控制 · 电气工程与系统科学 2025-08-18 John W. Sheppard

Cognitive diagnosis models have been popularly used in fields such as education, psychology, and social sciences. While parametric likelihood estimation is a prevailing method for fitting cognitive diagnosis models, nonparametric…

统计理论 · 数学 2025-10-01 Chengyu Cui , Yanlong Liu , Gongjun Xu