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In this paper, we focus on the problem of statistical dependence estimation using characteristic functions. We propose a statistical dependence measure, based on the maximum-norm of the difference between joint and product-marginal…

Machine Learning · Computer Science 2022-08-18 Povilas Daniušis , Shubham Juneja , Lukas Kuzma , Virginijus Marcinkevičius

The relative performance of competing point forecasts is usually measured in terms of loss or scoring functions. It is widely accepted that these scoring function should be strictly consistent in the sense that the expected score is…

Statistics Theory · Mathematics 2019-04-08 Tobias Fissler , Johanna F. Ziegel

Newsvendor problem is an extensively researched topic in inventory management. In this class of inventory problems, shortage and excess costs are considered to be proportional to the quantity lost. But, for critical goods or commodities,…

Applications · Statistics 2020-07-09 Soham Ghosh , Mamta Sahare , Sujay Mukhoti

Demand shaping is a promising way to mitigate the wireless cellular capacity shortfall in the presence of ever-increasing wireless data demand. In this paper, we formulate demand shaping as an optimization problem that minimizes the…

Optimization and Control · Mathematics 2019-07-19 Xinyang Zhou , Lijun Chen

In power system operation, characterizing the stochastic nature of wind power is an important albeit challenging issue. It is well known that distributions of wind power forecast errors often exhibit significant variability with respect to…

Data Analysis, Statistics and Probability · Physics 2017-12-05 Zhiwen Wang , Chen Shen , Feng Liu

Motivated by the Basel 3 regulations, recent studies have considered joint forecasts of Value-at-Risk and Expected Shortfall. A large family of scoring functions can be used to evaluate forecast performance in this context. However, little…

Risk Management · Quantitative Finance 2017-05-15 Johanna F. Ziegel , Fabian Krüger , Alexander Jordan , Fernando Fasciati

Application of the exact statistical inference frequently leads to a non-standard probability distributions of the considered estimators or test statistics. The exact distributions of many estimators and test statistics can be specified by…

Computation · Statistics 2018-01-09 Viktor Witkovský

Understanding the energy consumption patterns of different types of consumers is essential in any planning of energy distribution. However, obtaining consumption information for single individuals is often either not possible or too…

Applications · Statistics 2021-12-24 Amanda Lenzi , Camila P. E. de Souza , Ronaldo Dias , Nancy Garcia , Nancy E. Heckman

Several tasks in information retrieval (IR) rely on assumptions regarding the distribution of some property (such as term frequency) in the data being processed. This thesis argues that such distributional assumptions can lead to incorrect…

Information Retrieval · Computer Science 2019-04-02 Casper Petersen

We study a diagnostic strategy which is based on the anticipation of the diagnostic process by simulation of the dynamical process starting from the initial findings. We show that such a strategy could result in more accurate diagnoses…

Biological Physics · Physics 2018-04-04 Alireza Mashaghi , Abolfazl Ramezanpour

We study the problem of determining how much finished goods inventory to source from different capacitated facilities in order to maximize profits resulting from sales of such inventory. We consider a problem wherein there is uncertainty in…

Optimization and Control · Mathematics 2025-07-01 Mike Hewitt , Giovanni Pantuso

Accurate prediction of typhoon trajectories is essential for mitigating the impact of these extreme weather events. This study proposes a functional data analysis (FDA) framework for modeling and forecasting typhoon paths using historical…

Applications · Statistics 2025-10-06 Jimin Kim

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

In this work we study loss functions for learning and evaluating probability distributions over large discrete domains. Unlike classification or regression where a wide variety of loss functions are used, in the distribution learning and…

Machine Learning · Computer Science 2019-08-05 Nika Haghtalab , Cameron Musco , Bo Waggoner

Flow matching has recently emerged as a powerful paradigm for generative modeling and has been extended to probabilistic time series forecasting in latent spaces. However, the impact of the specific choice of probability path model on…

Machine Learning · Statistics 2025-08-19 Soon Hoe Lim , Yijin Wang , Annan Yu , Emma Hart , Michael W. Mahoney , Xiaoye S. Li , N. Benjamin Erichson

Belief functions are a powerful and popular framework for the mathematical characterisation of uncertainty, in particular in situations in which lack of data renders learning a probability distribution for the problem impractical. The first…

Statistics Theory · Mathematics 2026-05-11 Fabio Cuzzolin

Efficient load forecasting is needed to ensure better observability in the distribution networks, whereas such forecasting is made possible by an increasing number of smart meter installations. Because distribution networks include a large…

Machine Learning · Computer Science 2022-04-04 Miha Grabner , Yi Wang , Qingsong Wen , Boštjan Blažič , Vitomir Štruc

Forecasting enterprise-wide revenue is critical to many companies and presents several challenges and opportunities for significant business impact. This case study is based on model developments to address these challenges for forecasting…

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

This article intends to systematically identify and comparatively analyze state-of-the-art supply chain (SC) forecasting strategies and technologies. A novel framework has been proposed incorporating Big Data Analytics in SC Management…

Machine Learning · Computer Science 2025-09-04 Md Abrar Jahin , Md Sakib Hossain Shovon , Jungpil Shin , Istiyaque Ahmed Ridoy , M. F. Mridha
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