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In this paper, we address an optimal management problem of community energy storage in the real-time electricity market under a stochastic renewable environment. In a real-time electricity market, complete market information may not be…

系统与控制 · 电气工程与系统科学 2020-11-30 Lirong Deng , Xuan Zhang , Tianshu Yang , Hongbin Sun , Shmuel S. Oren

A stochastic mode reduction strategy is applied to multiscale models with a deterministic energy-conserving fast sub-system. Specifically, we consider situations where the slow variables are driven stochastically and interact with the fast…

概率论 · 数学 2014-10-14 Ankita Jain , Ilya Timofeyev , Eric Vanden-Eijnden

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

大气与海洋物理 · 物理学 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

Based on the existing literature, this article presents the different ways of choosing the parameters of stochastic volatility models in general, in the context of pricing financial derivative contracts. This includes the use of stochastic…

证券定价 · 定量金融 2025-12-24 Fabien Le Floc'h

This paper explores the application of Hidden Markov Models (HMM) and Long Short-Term Memory (LSTM) neural networks for economic forecasting, focusing on predicting CPI inflation rates. The study explores a new approach that integrates…

机器学习 · 计算机科学 2025-01-07 Guhan Sivakumar

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

最优化与控制 · 数学 2018-03-01 Nyles Breecher , Richard Stockbridge

Our research aims to find the best model that uses companies projections and sector performances and how the given company fares accordingly to correctly predict equity share prices for both short and long term goals.

统计金融 · 定量金融 2023-07-18 Varun Sangwan , Vishesh Kumar Singh , Bibin Christopher

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

最优化与控制 · 数学 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

Translating metabolic networks into dynamic models is difficult if kinetic constants are unknown. Structural Kinetic Modelling (SKM) replaces reaction elasticities by independent random numbers. Here I propose a variant that accounts for…

分子网络 · 定量生物学 2022-03-08 Wolfram Liebermeister

This paper proposes a market mechanism for multi-interval electricity markets with generator and storage participants. Drawing ideas from supply function bidding, we introduce a novel bid structure for storage participation that allows…

最优化与控制 · 数学 2021-10-18 Rajni Kant Bansal , Pengcheng You , Dennice F. Gayme , Enrique Mallada

The rapid expansion of digital commerce platforms has amplified the strategic importance of coordinated pricing and inventory management decisions among competing retailers. Motivated by practices on leading e-commerce platforms, we analyze…

综合经济学 · 经济学 2025-12-02 Hang Wu , Qin Wu , Yue Liu , Mengmeng Shi

The formalism of state estimation and hidden Markov models (HMMs) can simplify and clarify the discussion of stochastic thermodynamics in the presence of feedback and measurement errors. After reviewing the basic formalism, we use it to…

统计力学 · 物理学 2015-11-13 John Bechhoefer

Stochastic dynamical systems arise naturally across nearly all areas of science and engineering. Typically, a dynamical system model is based on some prior knowledge about the underlying dynamics of interest in which probabilistic features…

计算工程、金融与科学 · 计算机科学 2021-09-03 Chao Yin , Xihaier Luo , Ahsan Kareem

We consider stochastic volatility models under parameter uncertainty and investigate how model derived prices of European options are affected. We let the pricing parameters evolve dynamically in time within a specified region, and…

数理金融 · 定量金融 2018-07-12 Samuel N. Cohen , Martin Tegnér

Recently, the volatility associated with marginal prices has increased due to large scale integration of renewable generation. Price volatility is undesirable from a consumer perspective. To address this issue, we present a framework for…

最优化与控制 · 数学 2018-12-11 Shantanu Chakraborty , Kyri Baker , Milos Cvetkovic , Remco Verzijlbergh , Zofia Lukszo

In this paper, an approach to estimating a nonlinear deterministic model is presented. We introduce a stochastic model with extremely small variances so that the deterministic and stochastic models are essentially indistinguishable from…

统计方法学 · 统计学 2015-11-13 Spyridon J. Hatjispyros , Stephen G. Walker

Electric power systems are increasingly turning to energy storage systems to balance supply and demand. But how much storage is required? What is the optimal volume of storage in a power system and on what does it depend? In addition, what…

理论经济学 · 经济学 2025-11-27 Darryl Biggar , Mohammad Reza Hesamzadeh

When agents trade in a Duality-based Cost Function prediction market, they collectively implement the learning algorithm Follow-The-Regularized-Leader. We ask whether other learning algorithms could be used to inspire the design of…

机器学习 · 计算机科学 2025-05-08 Enrique Nueve , Bo Waggoner

State Space Models (SSMs), particularly recent selective variants like Mamba, have emerged as a leading architecture for sequence modeling, challenging the dominance of Transformers. However, the success of these state-of-the-art models…

机器学习 · 计算机科学 2025-08-06 Yiyi Wang , Jian'an Zhang , Hongyi Duan , Haoyang Liu , Qingyang Li

We consider a market in which both suppliers and consumers compete for a product via scalar-parameterized supply offers and demand bids. Scalar-parameterized offers/bids are appealing due to their modeling simplicity and desirable…

综合经济学 · 经济学 2020-03-04 Mariola Ndrio , Khaled Alshehri , Subhonmesh Bose