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Phase III randomized clinical trials play a monumentally critical role in the evaluation of new medical products. Because of the intrinsic nature of uncertainty embedded in our capability in assessing the efficacy of a medical product,…

Methodology · Statistics 2019-02-25 Changyu Shen , Xiaochun Li

We present here a new approach of the partial control method, which is a useful control technique applied to transient chaotic dynamics affected by a bounded noise. Usually we want to avoid the escape of these chaotic transients outside a…

Chaotic Dynamics · Physics 2019-02-19 Rubén Capeáns , Juan Sabuco , Miguel A. F. Sanjuán

In this work, we give a survey of recent developments in the theory of partial actions of groups and Hopf algebras.

Rings and Algebras · Mathematics 2017-10-04 Eliezer Batista

This paper deals with the revision of partially ordered beliefs. It proposes a semantic representation of epistemic states by partial pre-orders on interpretations and a syntactic representation by partially ordered belief bases. Two…

Artificial Intelligence · Computer Science 2007-05-23 Salem Benferhat , Sylvain Lagrue , Odile Papini

We introduce the notion of heterogeneous calibration that applies a post-hoc model-agnostic transformation to model outputs for improving AUC performance on binary classification tasks. We consider overconfident models, whose performance is…

Machine Learning · Statistics 2022-02-11 David Durfee , Aman Gupta , Kinjal Basu

We present some informal remarks on aspects of relativistic quantum computing.

Quantum Physics · Physics 2007-05-23 S. Pakvasa , W. Simmons , X. Tata

We investigate the possibility of correcting errors occurring on a multipartite system through a feedback mechanism that acquires information from partial access to the environment. A partial control scheme of this kind might be useful when…

Quantum Physics · Physics 2015-03-17 Laleh Memarzadeh , Chiara Macchiavello , Stefano Mancini

The problem of partial null controllability for linear autonomous evolution equations, which are controlled by a one-dimensional control, is under consideration. The partial null-controllability conditions for coupled abstract evolution…

Optimization and Control · Mathematics 2024-02-21 Benzion Shklyar

Counterfactuals are often described as 'retrospective,' focusing on hypothetical alternatives to a realized past. This description relates to an often implicit assumption about the structure and stability of exogenous variables in the…

Artificial Intelligence · Computer Science 2022-12-09 Lucius E. J. Bynum , Joshua R. Loftus , Julia Stoyanovich

We propose a tutorial on relaxations and weak formulations of optimal control with their semidefinite approximations. We present this approach solely through the prism of positivity certificates which we consider to be the most accessible…

Optimization and Control · Mathematics 2016-05-10 Edouard Pauwels , Didier Henrion , Jean-Bernard Lasserre

In this paper, some points to the convergence analysis performed in the paper [A new computing approach for power signal modeling using fractional adaptive algorithms, ISA Transactions 68 (2017) 189-202] are presented. It is highlighted…

Optimization and Control · Mathematics 2020-03-24 Abdul Wahab , Shujaat Khan , Farrukh Zeeshan Khan

Here and in a follow-on paper, we consider a simple control problem in which the underlying dynamics depend on a parameter $a$ that is unknown and must be learned. In this paper, we assume that $a$ is bounded, i.e., that $|a| \le…

Optimization and Control · Mathematics 2023-09-20 Jacob Carruth , Maximilian F. Eggl , Charles Fefferman , Clarence W. Rowley

We propose nearly-optimal control strategies for changing states of a quantum system. We argue that quantum control optimization can be studied analytically within some protocol families that depend on a small set of parameters for…

Quantum Physics · Physics 2017-09-13 Chen Sun , Avadh Saxena , Nikolai A. Sinitsyn

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

Computation · Statistics 2013-07-01 Somak Dutta , Sourabh Bhattacharya

Quantum transport is the study of the motion of electrons through nano-scale structures small enough that quantum effects are important. In this contribution I review recent theoretical proposals to use the techniques of quantum feedback…

Mesoscale and Nanoscale Physics · Physics 2015-07-21 Clive Emary

We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable. To formally model such systems, we define an extension of probabilistic timed automata in which local…

Logic in Computer Science · Computer Science 2015-06-24 Gethin Norman , David Parker , Xueyi Zou

This article gives an overview of the developments in controlled diffusion processes, emphasizing key results regarding existence of optimal controls and their characterization via dynamic programming for a variety of cost criteria and…

Probability · Mathematics 2007-05-23 Vivek S. Borkar

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

Methodology · Statistics 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

This paper investigates the stakes of introducing probabilistic approaches for the management of power system's security. In real-time operation, the aim is to arbitrate in a rational way between preventive and corrective control, while…

Systems and Control · Computer Science 2016-02-18 Efthymios Karangelos , Patrick Panciatici , Louis Wehenkel

Reliable controllers with high flexibility and performance are necessary for the control of intricate, advanced, and expensive systems such as aircraft, marine vessels, automotive vehicles, and satellites. Meanwhile, control allocation has…

Optimization and Control · Mathematics 2016-07-19 David Buzorgnia , Ali Khaki-Sedigh
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