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An Overview of the Dynamic Framework in Earth-System Model and Its Well-Posedness
The well-posedness of the dynamic framework in earth-system model (ESM for short) is a common issue in earth sciences and mathematics. In this paper,...
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A general optimization framework for dynamic time war**
The goal of dynamic time war** is to transform or warp time in order to approximately align two signals. We pose the choice of war** function as...
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A unified framework for symmetry handling
Handling symmetries in optimization problems is essential for devising efficient solution methods. In this article, we present a general framework...
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A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation
Wasserstein–Fisher–Rao (WFR) distance is a family of metrics to gauge the discrepancy of two Radon measures, which takes into account both...
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Toward Scalable Empirical Dynamic Modeling
Empirical Dynamic Modeling (EDM) is an emerging non-linear time series analysis framework that allows prediction and analysis of non-linear dynamical...
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A Parallel Dynamic Asynchronous Framework for Uncertainty Quantification by Hierarchical Monte Carlo Algorithms
The necessity of dealing with uncertainties is growing in many different fields of science and engineering. Due to the constant development of...
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Dynamic Programming
Dynamic programming is an approach to solving dynamic optimization problems, centred on properties of the value function, that is the minimum cost...
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A unified pre-training and adaptation framework for combinatorial optimization on graphs
Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields....
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On the Influence of a Dynamic Diffusion Coefficient with the Feibelman Parameter on the Quantum Nonlocal Effect of Hybrid Plasmon Nanoparticles
AbstractIn this paper, we consider the problem of polarized light scattering by a hybrid nanoparticle consisting of a dielectric core and plasmonic...
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Study of the Dynamic Stress State of Microporous Media Within the Framework of the Cosserat Pseudocontinuum
We develop an analytic-numerical method for the investigation of the dynamic stress state of an unbounded layered element containing a hole within...
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Online Learning in Budget-Constrained Dynamic Colonel Blotto Games
In this paper, we study the strategic allocation of limited resources using a Colonel Blotto game (CBG) under a dynamic setting and analyze the...
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Risk-Neutral Pricing Framework
The risk-neutral pricing framework is about the analysis and techniques for derivatives hedging and pricing. The pioneer work of Black, Scholes and...
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Predicer: abstract stochastic optimisation model framework for multi-market operation
An open-source modelling framework Predicer, standing for Predictive Decider, for multi-market day-ahead market operation purposes is described in...
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Risk and Potential: An Asset Allocation Framework with Applications to Robo-Advising
We propose a novel dynamic asset allocation framework based on a family of mean-variance-induced utility functions that alleviate the...
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A deep reinforcement learning framework for solving two-stage stochastic programs
In this study, we present a deep reinforcement learning framework for solving scenario-based two-stage stochastic programming problems. Stochastic...
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A K-means Supported Reinforcement Learning Framework to Multi-dimensional Knapsack
In this paper, we address the difficulty of solving large-scale multi-dimensional knapsack instances (MKP), presenting a novel deep reinforcement...
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An optimal control framework for adaptive neural ODEs
In recent years, the notion of neural ODEs has connected deep learning with the field of ODEs and optimal control. In this setting, neural networks...
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OPTIMAL CONTROL OF AN SIR EPIDEMIC MODEL BASED ON DYNAMIC PROGRAMMING APPROACH
This paper investigates optimal control of a susceptible-infected-recovered (SIR) epidemic model using the dynamic programming approach. In fact, our...
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A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework
We introduce in this paper substantial enhancements to a previously proposed hybrid multiscale cancer invasion modelling framework to better reflect...
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Durable-Strategies Dynamic Games Theory, Solution Techniques and Applications
Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal,...
