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The short-term forecasting of real-time locational marginal price (LMP) and network congestion is considered from a system operator perspective. A new probabilistic forecasting technique is proposed based on a multiparametric programming…

Applications · Statistics 2016-06-28 Yuting Ji , Robert J. Thomas , Lang Tong

We propose a new approach for propagating stable probability distributions through neural networks. Our method is based on local linearization, which we show to be an optimal approximation in terms of total variation distance for the ReLU…

Machine Learning · Computer Science 2024-02-14 Felix Petersen , Aashwin Mishra , Hilde Kuehne , Christian Borgelt , Oliver Deussen , Mikhail Yurochkin

Accurate uncertainty measurement is a key step to building robust and reliable machine learning systems. Conformal prediction is a distribution-free uncertainty quantification algorithm popular for its ease of implementation, statistical…

Machine Learning · Computer Science 2024-03-20 Sophia Sun , Rose Yu

With the increasing demand for large-scale training of machine learning models, consensus-based distributed optimization methods have recently been advocated as alternatives to the popular parameter server framework. In this paradigm, each…

Machine Learning · Computer Science 2021-02-15 Guojun Xiong , Gang Yan , Rahul Singh , Jian Li

Time series forecasting remains a critical challenge across numerous domains, yet the effectiveness of complex models often varies unpredictably across datasets. Recent studies highlight the surprising competitiveness of simple linear…

Machine Learning · Computer Science 2026-05-14 Zheng Wang , Kaixuan Zhang , Wanfang Chen , Xiaonan Lu , Longyuan Li , Tobias Schlagenhauf

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

Statistics Theory · Mathematics 2020-01-01 Xiucai Ding , Zhou Zhou

This paper presents non-parametric baseline models for time series forecasting. Unlike classical forecasting models, the proposed approach does not assume any parametric form for the predictive distribution and instead generates predictions…

Most machine learning models operate under the assumption that the training, testing and deployment data is independent and identically distributed (i.i.d.). This assumption doesn't generally hold true in a natural setting. Usually, the…

Machine Learning · Computer Science 2021-12-14 Kumud Lakara , Akshat Bhandari , Pratinav Seth , Ujjwal Verma

Enhancing the stability of machine learning algorithms under distributional shifts is at the heart of the Out-of-Distribution (OOD) Generalization problem. Derived from causal learning, recent works of invariant learning pursue strict…

Machine Learning · Computer Science 2024-02-15 Jiashuo Liu , Jiayun Wu , Jie Peng , Xiaoyu Wu , Yang Zheng , Bo Li , Peng Cui

We propose a neural network approach to produce probabilistic weather forecasts from a deterministic numerical weather prediction. Our approach is applied to operational surface temperature outputs from the Global Deterministic Prediction…

Atmospheric and Oceanic Physics · Physics 2025-04-07 David Landry , Anastase Charantonis , Claire Monteleoni

We present a data-driven approach for probabilistic wind power forecasting based on conditional normalizing flow (CNF). In contrast with the existing, this approach is distribution-free (as for non-parametric and quantile-based approaches)…

Systems and Control · Electrical Eng. & Systems 2022-07-20 Honglin Wen , Pierre Pinson , Jinghuan Ma , Jie Gu , Zhijian Jin

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

The focus of this paper is on the quantification of sampling variation in frequentist probabilistic forecasts. We propose a method of constructing confidence sets that respects the functional nature of the forecast distribution, and use…

Methodology · Statistics 2017-08-09 David Harris , Gael M. Martin , Indeewara Perera , D. S. Poskitt

Contract scheduling is a widely studied framework for designing real-time systems with interruptible capabilities. Previous work has showed that a prediction on the interruption time can help improve the performance of contract-based…

Data Structures and Algorithms · Computer Science 2024-04-22 Spyros Angelopoulos , Marcin Bienkowski , Christoph Dürr , Bertrand Simon

In demographic literature, forecast uncertainty is often quantified with a statistical model. This model-based approach may potentially suffer from drawbacks, namely model misspecification, selection effect, and lack of finite-sample…

Applications · Statistics 2026-05-29 Han Lin Shang

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

Econometrics · Economics 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

Applications · Statistics 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

Evolving data streams induce joint nonstationarity in continual semantic segmentation, where semantic classes, input distributions, and supervision availability change simultaneously over time. This setting reflects practical structured…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Prashant Pandey , Himanshu Kumar , Devineni Sri Venkatraya Chowdary , Brejesh Lall

We consider the problem of designing control laws for stochastic jump linear systems where the disturbances are drawn randomly from a finite sample space according to an unknown distribution, which is estimated from a finite sample of…

Systems and Control · Computer Science 2019-10-31 Mathijs Schuurmans , Pantelis Sopasakis , Panagiotis Patrinos

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo