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Survey sampling plays an important role in the efficient allocation and management of resources. The essence of survey sampling lies in acquiring a sample of data points from a population and subsequently using this sample to estimate the…

Methodology · Statistics 2024-01-29 Jonne Pohjankukka , Sakari Tuominen , Jukka Heikkonen

Randomized optimization is an established tool for control design with modulated robustness. While for uncertain convex programs there exist randomized approaches with efficient sampling, this is not the case for non-convex problems.…

Systems and Control · Computer Science 2015-06-08 Sergio Grammatico , Xiaojing Zhang , Kostas Margellos , Paul Goulart , John Lygeros

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

Machine Learning · Statistics 2022-06-16 Daniel Ting

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

Pattern sampling has been proposed as a potential solution to the infamous pattern explosion. Instead of enumerating all patterns that satisfy the constraints, individual patterns are sampled proportional to a given quality measure. Several…

Artificial Intelligence · Computer Science 2017-03-30 Vladimir Dzyuba , Matthijs van Leeuwen , Luc De Raedt

This study first reviews fuzzy random Portfolio selection theory and describes the concept of portfolio optimization model as a useful instrument for helping finance practitioners and researchers. Second, this paper specifically aims at…

Optimization and Control · Mathematics 2014-02-18 Mir Ehsan Hesam Sadati , Ali Doniavi

Random fuzzy variables join the modeling of the impreciseness (due to their ``fuzzy part'') and randomness. Statistical samples of such objects are widely used, and their direct, numerically effective generation is therefore necessary.…

Machine Learning · Statistics 2025-01-22 Maciej Romaniuk , Abbas Parchami , Przemysław Grzegorzewski

This paper managed to induce probability theory (sigma system) and possibility theory (max system) respectively from the clearly-defined randomness and fuzziness, while focusing the question why the key axiom of "maxitivity" is adopted for…

Artificial Intelligence · Computer Science 2025-01-03 Wei Mei , Ming Li , Yuanzeng Cheng , Limin Liu

We investigate a Poisson sampling design in the presence of unknown selection probabilities when applied to a population of unknown size for multiple sampling occasions. The fixed-population model is adopted and extended upon for inference.…

Methodology · Statistics 2020-01-30 Kyle Vincent , Saman Muthukumarana

The last decade witnessed an explosion in the availability of data for operations research applications. Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization…

Optimization and Control · Mathematics 2014-11-25 Dimitris Bertsimas , Vishal Gupta , Nathan Kallus

In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

We present a simple comparative framework for testing and developing uncertainty modeling in uncertain marching cubes implementations. The selection of a model to represent the probability distribution of uncertain values directly…

Human-Computer Interaction · Computer Science 2024-09-16 Robert Sisneros , Tushar M. Athawale , David Pugmire , Kenneth Moreland

In this article, a new hesitancy fuzzy similarity measure is defined and then used to develop the matrix of hesitancy fuzzy similarity measures, which is subsequently used to classify hesitancy fuzzy graph using the working procedure. We…

Artificial Intelligence · Computer Science 2022-05-03 Rajagopal Reddy N , Sharief Basha Shaik

With the widespread use of machine learning to support decision-making, it is increasingly important to verify and understand the reasons why a particular output is produced. Although post-training feature importance approaches assist this…

We discuss the problem how to determine the quality of a nonlinear system with respect to a measurement task. Due to amplification, filtering, quantization and internal noise sources physical measurement equipment in general exhibits a…

Information Theory · Computer Science 2016-11-17 Manuel Stein , Josef A. Nossek , Kurt Barbé

Existing approaches to model uncertainty typically either compare models using a quantitative model selection criterion or evaluate posterior model probabilities having set a prior. In this paper, we propose an alternative strategy which…

Methodology · Statistics 2025-03-26 Vik Shirvaikar , Stephen G. Walker , Chris Holmes

Realization of uncertainty of prices is captured by volatility, that is the tendency of prices to vary along a period of time. This is generally measured as standard deviation of daily returns. In this paper we propose and investigate the…

Computational Finance · Quantitative Finance 2017-05-04 Luigi Troiano , Elena Mejuto Villa , Pravesh Kriplani

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

The financial crisis has dramatically demonstrated that the traditional approach to apply univariate monetary risk measures to single institutions does not capture sufficiently the perilous systemic risk that is generated by the…

Mathematical Finance · Quantitative Finance 2015-04-27 Francesca Biagini , Jean-Pierre Fouque , Marco Frittelli , Thilo Meyer-Brandis

This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures motivated by risk measures from finance leading to a…

Optimization and Control · Mathematics 2019-05-14 Simone Göttlich , Stephan Knapp