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This paper presents numerical algorithm and results for pricing a capital protection option offered by many asset managers for investment portfolios to take advantage of market growth and protect savings. Under optimal withdrawal…

Pricing of Securities · Quantitative Finance 2017-05-09 Xiaolin Luo , Pavel V. Shevchenko

We study Bayesian optimal control of a general class of smoothly parameterized Markov decision problems. Since computing the optimal control is computationally expensive, we design an algorithm that trades off performance for computational…

Machine Learning · Computer Science 2014-06-17 Yasin Abbasi-Yadkori , Csaba Szepesvari

Generating accurate runtime safety estimates for autonomous systems is vital to ensuring their continued proliferation. However, exhaustive reasoning about future behaviors is generally too complex to do at runtime. To provide scalable and…

Logic in Computer Science · Computer Science 2023-03-30 Matthew Cleaveland , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

We apply methods of the so-called `inverse problem of the calculus of variations' to the stabilization of an equilibrium of a class of two-dimensional controlled mechanical systems. The class is general enough to include, among others, the…

Mathematical Physics · Physics 2016-12-19 M. Farré Puiggalí , T. Mestdag

A critical decision process in data acquisition for mineral and energy resource exploration is how to efficiently combine a variety of sensor types and to minimize total cost. We propose a probabilistic framework for multi-objective…

Geophysics · Physics 2020-10-13 Sebastian Haan , Fabio Ramos , Dietmar Müller

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

We use optimal control theory to show that for a closed $\Lambda$-system where the excited intermediate level decays to the lower levels with a common large rate, the optimal scheme for population transfer between the lower levels is…

Quantum Physics · Physics 2022-12-27 Dionisis Stefanatos , Emmanuel Paspalakis

We consider an energy storage problem involving a wind farm with a forecasted power output, a stochastic load, an energy storage device, and a connection to the larger power grid with stochastic prices. Electricity prices and wind power…

Optimization and Control · Mathematics 2020-02-04 Joseph L. Durante , Juliana Nascimento , Warren B. Powell

A new method is presented which allows time averaged density matrices of closed quantum systems to be computed via a constraint overlap maximization. Due to its simplicity, this method can be combined with algorithms based on tensor…

Quantum Physics · Physics 2015-03-06 Volckmar Nebendahl

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

Optimization and Control · Mathematics 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

Online off-policy reinforcement learning (RL) is shaped by two coupled choices: the policy class and the update rule. Gaussian policies are fast and have tractable entropy, but struggle with multimodal action distributions. Generative…

Machine Learning · Computer Science 2026-05-22 Zeyuan Wang , Da Li , Yulin Chen , Yuehu Gong , Yanming Guo , Ye Shi , Liang Bai , Tianyuan Yu , Yanwei Fu

This paper studies the inverse optimal control problem for continuous-time linear quadratic regulators over finite-time horizon, aiming to reconstruct the control, state, and terminal cost matrices in the objective function from observed…

Optimization and Control · Mathematics 2025-10-07 Yuexin Cao , Yibei Li , Zhuo Zou , Xiaoming Hu

An important issue in model-based control design is that an accurate dynamic model of the system is generally nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Yuhan Liu , Pengyu Wang , Roland Tóth

This paper introduces a new approach to solve sensor management problems. Classically sensor management problems can be well formalized as Partially-Observed Markov Decision Processes (POMPD). The original approach developped here consists…

Machine Learning · Computer Science 2009-03-20 Thomas Bréhard , Emmanuel Duflos , Philippe Vanheeghe , Pierre-Arnaud Coquelin

There is a considerable amount of ongoing research on the use of Bayesian control charts for detecting a shift from a good quality distribution to a bad quality distribution in univariate and multivariate processes. It is widely claimed…

Applications · Statistics 2017-12-19 Amir Ahmadi-Javid , Mohsen Ebadi

Searching for accurate Machine and Deep Learning models is a computationally expensive and awfully energivorous process. A strategy which has been gaining recently importance to drastically reduce computational time and energy consumed is…

Machine Learning · Computer Science 2020-06-26 Antonio Candelieri , Riccardo Perego , Francesco Archetti

Continuous-time batch state estimation using Gaussian processes is an efficient approach to estimate the trajectories of robots over time. In the past, relatively simple physics-motivated priors have been considered for such approaches,…

Robotics · Computer Science 2025-06-04 Sven Lilge , Timothy D. Barfoot

This technical report presents a method for designing a constrained output-feedback model predictive controller (MPC) that behaves in the same way as an existing baseline stabilising linear time invariant output-feedback controller when…

Optimization and Control · Mathematics 2011-09-14 Edward N. Hartley , Jan M. Maciejowski

We study the inverse optimal control problem in social sciences: we aim at learning a user's true cost function from the observed temporal behavior. In contrast to traditional phenomenological works that aim to learn a generative model to…

Machine Learning · Computer Science 2018-05-23 Yichen Wang , Le Song , Hongyuan Zha

This paper reviews discounting approaches for modeling multi-year energy investments, focusing on total versus annualised cost formulations. We discuss how time value of money is handled, and how salvage value and milestone-year weighting…

Optimization and Control · Mathematics 2025-05-01 Ni Wang , Diego A. Tejada-Arango
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