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We consider the problem of finding optimal time-periodic sensor schedules for estimating the state of discrete-time dynamical systems. We assume that {multiple} sensors have been deployed and that the sensors are subject to resource…

Applications · Statistics 2016-11-17 Sijia Liu , Makan Fardad , Engin Masazade , Pramod K. Varshney

Scenario generation is an effective data-driven method for solving chance-constrained optimization while ensuring desired risk guarantees with a finite number of samples. Crucial challenges in deploying this technique in the real world…

Optimization and Control · Mathematics 2024-01-04 Qian Zhang , Apurv Shukla , Le Xie

The introduction of more renewable energy sources into the energy system increases the variability and weather dependence of electricity generation. Power system simulations are used to assess the adequacy and reliability of the electricity…

Physics and Society · Physics 2024-02-02 Laurens P. Stoop , Erik Duijm , Ad J. Feelders , Machteld van den Broek

Accurate uncertainty quantification is necessary to enhance the reliability of deep learning models in real-world applications. In the case of regression tasks, prediction intervals (PIs) should be provided along with the deterministic…

Machine Learning · Computer Science 2024-03-26 Giorgio Morales , John W. Sheppard

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

This paper proposes a new bootstrap method to compute predictive intervals for nonlinear autoregressive time series model forecast. This method we call the splice boobstrap as it involves splicing the last p values of a given series to a…

Methodology · Statistics 2013-11-25 Gerard Keogh

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

Econometrics · Economics 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

Recent studies concerning the point electricity price forecasting have shown evidence that the hourly German Intraday Continuous Market is weak-form efficient. Therefore, we take a novel, advanced approach to the problem. A probabilistic…

Statistical Finance · Quantitative Finance 2021-02-02 Michał Narajewski , Florian Ziel

We discuss a concept denoted as Conformal Prediction (CP) in this paper. While initially stemming from the world of machine learning, it was never applied or analyzed in the context of short-term electricity price forecasting. Therefore, we…

Econometrics · Economics 2020-11-17 Christopher Kath , Florian Ziel

Optimal scheduling of batteries has significant potential to reduce electricity costs and to enhance grid resilience. However, effective battery scheduling must account for both physical constraints as well as uncertainties in consumption…

Optimization and Control · Mathematics 2026-04-01 Janik Pinter , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer , Frederik Zahn

Time series synthesis is an effective approach to ensuring the secure circulation of time series data. Existing time series synthesis methods typically perform temporal modeling based on random sequences to generate target sequences, which…

Machine Learning · Computer Science 2025-09-01 Xuan Hou , Shuhan Liu , Zhaohui Peng , Yaohui Chu , Yue Zhang , Yining Wang

Neural Temporal Point Processes (TPPs) have emerged as the primary framework for predicting sequences of events that occur at irregular time intervals, but their sequential nature can hamper performance for long-horizon forecasts. To…

Machine Learning · Computer Science 2024-07-23 Mai Zeng , Florence Regol , Mark Coates

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

Adversarial Regression is a proposition to perform high dimensional non-linear regression with uncertainty estimation. We used Conditional Generative Adversarial Network to obtain an estimate of the full predictive distribution for a new…

Machine Learning · Statistics 2019-10-22 Yoann Boget

Deep generative models are proven to be a useful tool for automatic design synthesis and design space exploration. When applied in engineering design, existing generative models face three challenges: 1) generated designs lack diversity and…

Machine Learning · Computer Science 2021-08-17 Wei Chen , Faez Ahmed

In recent years, some researchers have applied diffusion models to multivariate time series anomaly detection. The partial diffusion strategy, which depends on the diffusion steps, is commonly used for anomaly detection in these models.…

Machine Learning · Computer Science 2025-01-06 Guangqiang Wu , Fu Zhang

Renewable energy power is influenced by the atmospheric system, which exhibits nonlinear and time-varying features. To address this, a dynamic temporal correlation modeling framework is proposed for renewable energy scenario generation. A…

Machine Learning · Computer Science 2025-01-27 Xiaochong Dong , Yilin Liu , Xuemin Zhang , Shengwei Mei

Stock price forecasting is a highly complex and vitally important field of research. Recent advancements in deep neural network technology allow researchers to develop highly accurate models to predict financial trends. We propose a novel…

Computational Finance · Quantitative Finance 2021-02-03 Pratyush Muthukumar , Jie Zhong

3D semantic scene graphs are a powerful holistic representation as they describe the individual objects and depict the relation between them. They are compact high-level graphs that enable many tasks requiring scene reasoning. In real-world…

Computer Vision and Pattern Recognition · Computer Science 2023-05-09 Shun-Cheng Wu , Keisuke Tateno , Nassir Navab , Federico Tombari

It has been shown that deep learning models can under certain circumstances outperform traditional statistical methods at forecasting. Furthermore, various techniques have been developed for quantifying the forecast uncertainty (prediction…

Machine Learning · Computer Science 2021-10-08 Thabang Mathonsi , Terence L. van Zyl