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We present an Imitation Learning approach for the control of dynamical systems with a known model. Our policy search method is guided by solutions from MPC. Typical policy search methods of this kind minimize a distance metric between the…

Robotics · Computer Science 2020-02-18 Jan Carius , Farbod Farshidian , Marco Hutter

We study a class of two-sided optimal control problems of general linear diffusions under a so-called Poisson constraint: the controlling is only allowed at the arrival times of an independent Poisson signal processes. We give a weak and…

Optimization and Control · Mathematics 2022-07-19 Harto Saarinen

We propose a novel group of Gaussian Process based algorithms for fast approximate optimal stopping of time series with specific applications to financial markets. We show that structural properties commonly exhibited by financial time…

Machine Learning · Statistics 2022-10-11 Kshama Dwarakanath , Danial Dervovic , Peyman Tavallali , Svitlana S Vyetrenko , Tucker Balch

We consider a hidden Markov model with multiple observation processes, one of which is chosen at each point in time by a policy---a deterministic function of the information state---and attempt to determine which policy minimises the…

Probability · Mathematics 2015-03-17 James Y. Zhao

This paper considers a half-duplex scenario where an interferer behaves according to a parametric model but the values of the model parameters are unknown. We explore the necessary number of sensing steps to gather sufficient knowledge…

Information Theory · Computer Science 2024-10-11 Vincent Corlay , Jean-Christophe Sibel , Nicolas Gresset

In the framework of prediction of individual sequences, sequential prediction methods are to be constructed that perform nearly as well as the best expert from a given class. We consider prediction strategies that compete with the class of…

Machine Learning · Computer Science 2012-07-12 András Gyorgy , Tamás Linder , Gábor Lugosi

Stochastic processes find applications in modelling systems in a variety of disciplines. A large number of stochastic models considered are Markovian in nature. It is often observed that higher order Markov processes can model the data…

Probability · Mathematics 2021-04-13 Suryadeepto Nag

A method is proposed to generate an optimal fit of a number of connected linear trend segments onto time-series data. To be able to efficiently handle many lines, the method employs a stochastic search procedure to determine optimal…

Quantitative Methods · Quantitative Biology 2017-04-11 Myrl G. Marmarelis

A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

We consider the problem of adaptively PAC-learning a probability distribution $\mathcal{P}$'s mode by querying an oracle for information about a sequence of i.i.d. samples $X_1, X_2, \ldots$ generated from $\mathcal{P}$. We consider two…

Machine Learning · Computer Science 2019-11-20 Dhruti Shah , Tuhinangshu Choudhury , Nikhil Karamchandani , Aditya Gopalan

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

Optimization and Control · Mathematics 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

To make decisions organisms often accumulate information across multiple timescales. However, most experimental and modeling studies of decision-making focus on sequences of independent trials. On the other hand, natural environments are…

Neurons and Cognition · Quantitative Biology 2018-06-12 Khanh P Nguyen , Kresimir Josic , Zachary P Kilpatrick

Optimal stopping is the problem of determining when to stop a stochastic system in order to maximize reward, which is of practical importance in domains such as finance, operations management and healthcare. Existing methods for…

Optimization and Control · Mathematics 2022-03-28 Xinyi Guan , Velibor V. Mišić

We present existence and discrete-time approximation results on optimal control policies for continuous-time stochastic control problems under a variety of information structures. These include fully observed models, partially observed…

Optimization and Control · Mathematics 2025-03-13 Somnath Pradhan , Serdar Yüksel

We consider records and sequences of records drawn from discrete time series of the form $X_{n}=Y_{n}+cn$, where the $Y_{n}$ are independent and identically distributed random variables and $c$ is a constant drift. For very small and very…

Statistical Mechanics · Physics 2015-05-19 Jasper Franke , Gregor Wergen , Joachim Krug

Process mining leverages event data extracted from IT systems to generate insights into the business processes of organizations. Such insights benefit from explicitly considering the frequency of behavior in business processes, which is…

Formal Languages and Automata Theory · Computer Science 2025-07-10 Tian Li , Artem Polyvyanyy , Sander J. J. Leemans

In theory, the probabilistic linkage method provides two distinct advantages over non-probabilistic methods, including minimal rates of linkage error and accurate measures of these rates for data users. However, implementations can fall…

Methodology · Statistics 2019-11-06 Abel Dasylva , Arthur Goussanou , David Ajavon , Hanan Abousaleh

In "Recognizing the Maximum of a Sequence", Gilbert and Mosteller analyze a full information game where n measurements from an uniform distribution are drawn and a player (knowing n) must decide at each draw whether or not to choose that…

Probability · Mathematics 2018-05-30 Marcos Costa Santos Carreira

Process analytics approaches allow organizations to support the practice of Business Process Management and continuous improvement by leveraging all process-related data to extract knowledge, improve process performance and support…

Other Computer Science · Computer Science 2025-02-25 Asjad Khan , Aditya Ghose , Hoa Dam , Arsal Syed

Consider a collection of competing machine learning algorithms. Given their performance on a benchmark of datasets, we would like to identify the best performing algorithm. Specifically, which algorithm is most likely to rank highest on a…

Machine Learning · Computer Science 2025-08-08 Amichai Painsky