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The marginal price of electricity traditionally depends on the dual variables associated with relevant optimization goals. Particularly, in the optimal power flow realm, prices represent the cost of supplying an additional unit of power at…

Optimization and Control · Mathematics 2016-06-29 Kyri Baker

In this paper, a multivariate constrained robust M-regression (MCRM) method is developed to estimate shaping coefficients for electricity forward prices. An important benefit of the new method is that model arbitrage can be ruled out at an…

Applications · Statistics 2018-06-27 Peter Leoni , Pieter Segaert , Sven Serneels , Tim Verdonck

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

Soft Condensed Matter · Physics 2022-09-26 Margarita Colberg , Jeremy Schofield

Electricity market prices exhibit extreme volatility, nonlinearity, and non-stationarity, making accurate forecasting a significant challenge. While cutting-edge time series foundation models (TSFMs) effectively capture temporal…

Machine Learning · Computer Science 2026-03-10 Yunzhong Qiu , Binzhu Li , Hao Wei , Shenglin Weng , Chen Wang , Zhongyi Pei , Mingsheng Long , Jianmin Wang

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

This is a study on the potential widespread usage of alternative fuel vehicles, linking them with the socio-economic status of the respective consumers as well as the impact on the resulting air quality index. Research in this area aims to…

Artificial Intelligence · Computer Science 2023-03-16 Anuradha Singh , Jyoti Yadav , Sarahana Shrestha , Aparna S. Varde

We develop a Bayesian framework for variable selection in linear regression with autocorrelated errors, accommodating lagged covariates and autoregressive structures. This setting occurs in time series applications where responses depend on…

Methodology · Statistics 2025-08-18 Alokesh Manna , Sujit K. Ghosh

In this article we consider an aggregate loss model with dependent losses. The losses occurrence process is governed by a two-state Markovian arrival process (MAP2), a Markov renewal process process that allows for (1) correlated…

Risk Management · Quantitative Finance 2024-02-06 Pepa Ramírez-Cobo , Emilio Carrizosa , Rosa Elvira Lillo

Classical linear regression is considered for a case when regression parameters depend on the external random environment. The last is described as a continuous time Markov chain with finite state space. Here the expected sojourn times in…

Methodology · Statistics 2019-01-29 Alexander M. Andronov , Nadezda Spiridovska

Increasing urbanization puts pressure on cities to prioritize sustainable growth and avoid carbon lock-in. Available modeling frameworks fall acutely of guiding such pivotal decision-making at the local level. Financial incentives,…

This article proposes a spatial dynamic structural equation model for the analysis of housing prices at the State level in the USA. The study contributes to the existing literature by extending the use of dynamic factor models to the…

Applications · Statistics 2013-12-23 Pasquale Valentini , Luigi Ippoliti , Lara Fontanella

We study city-scale control of electric-vehicle (EV) ride-hailing fleets where dispatch, repositioning, and charging decisions must respect charger and feeder limits under uncertain, spatially correlated demand and travel times. We…

Artificial Intelligence · Computer Science 2026-04-29 An Nguyen , Hoang Nguyen , Phuong Le , Hung Pham , Cuong Do , Laurent El Ghaoui

We introduce a Modewise Additive Factor Model (MAFM) for matrix-valued time series that captures row-specific and column-specific latent effects through an additive structure, offering greater flexibility than multiplicative frameworks such…

Methodology · Statistics 2026-02-12 Elynn Chen , Yuefeng Han , Jiayu Li , Ke Xu

Molecule synthesis through machine learning is one of the fundamental problems in drug discovery. Current data-driven strategies employ one-step retrosynthesis models and search algorithms to predict synthetic routes in a top-bottom manner.…

Machine Learning · Computer Science 2024-06-05 Songtao Liu , Hanjun Dai , Yue Zhao , Peng Liu

Markov automata combine non-determinism, probabilistic branching, and exponentially distributed delays. This compositional variant of continuous-time Markov decision processes is used in reliability engineering, performance evaluation and…

Logic in Computer Science · Computer Science 2017-05-11 Tim Quatmann , Sebastian Junges , Joost-Pieter Katoen

Graphical Markov models combine conditional independence constraints with graphical representations of stepwise data generating processes.The models started to be formulated about 40 years ago and vigorous development is ongoing.…

Methodology · Statistics 2015-10-12 Nanny Wermuth

In this paper we present elementary computations for some Markov modulated counting processes, also called counting processes with regime switching. Regime switching has become an increasingly popular concept in many branches of science. In…

Probability · Mathematics 2023-02-27 Michel Mandjes , Peter Spreij

A regularized vector autoregressive hidden semi-Markov model is developed to analyze multivariate financial time series with switching data generating regimes. Furthermore, an augmented EM algorithm is proposed for parameter estimation by…

Applications · Statistics 2021-05-19 Zekun Xu , Ye Liu

Variable Length Markov Chains with Exogenous Covariates (VLMCX) are stochastic models that use Generalized Linear Models to compute transition probabilities, taking into account both the state history and time-dependent exogenous…

Methodology · Statistics 2024-10-11 Marília Gabriela Rocha , Nancy L. Garcia

For a network of discrete states with a periodically driven Markovian dynamics, we develop an inference scheme for an external observer who has access to some transitions. Based on waiting-time distributions between these transitions, the…

Statistical Mechanics · Physics 2024-09-12 Alexander M. Maier , Julius Degünther , Jann van der Meer , Udo Seifert