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This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

Systems and Control · Computer Science 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

In this paper, we adopt results in nonlinear time series analysis for causal inference in dynamical settings.~Our motivation is policy analysis with panel data, particularly through the use of "synthetic control" methods. These methods…

Methodology · Statistics 2020-03-03 Yi Ding , Panos Toulis

We present an overview of the decision-theoretic framework of statistical causality, which is well-suited for formulating and solving problems of determining the effects of applied causes. The approach is described in detail, and is related…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

Many forms of dependence manifest themselves over time, with behavior of variables in dynamical systems as a paradigmatic example. This paper studies temporal dependence in dynamical systems from a logical perspective, by enriching a…

Logic in Computer Science · Computer Science 2024-03-29 Alexandru Baltag , Johan van Benthem , Dazhu Li

This paper develops a unified methodology for probabilistic analysis and optimal control design for jump diffusion processes defined by polynomials. For such systems, the evolution of the moments of the state can be described via a system…

Optimization and Control · Mathematics 2017-02-03 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

Recently, it has been shown how sampling actions from the predictive distribution over the optimal action-sometimes called Thompson sampling-can be applied to solve sequential adaptive control problems, when the optimal policy is known for…

Artificial Intelligence · Computer Science 2014-09-24 Pedro A. Ortega , Daniel A. Braun

The CAP Theorem shows that (strong) Consistency, Availability, and Partition tolerance are impossible to be ensured together. Causal consistency is one of the weak consistency models that can be implemented to ensure availability and…

Databases · Computer Science 2021-03-01 Rachid Zennou , Ranadeep Biswas , Ahmed Bouajjani , Constantin Enea , Mohammed Erradi

We study stochastic team (known also as decentralized stochastic control or identical interest stochastic dynamic game) problems with large or countably infinite number of decision makers, and characterize existence and structural…

Optimization and Control · Mathematics 2021-07-08 Sina Sanjari , Naci Saldi , Serdar Yüksel

Linear causal disentanglement is a recent method in causal representation learning to describe a collection of observed variables via latent variables with causal dependencies between them. It can be viewed as a generalization of both…

Machine Learning · Statistics 2024-07-08 Paula Leyes Carreno , Chiara Meroni , Anna Seigal

In this paper, we address the problem of controlling a system over an unreliable connection that is affected by time-varying delays and randomly occurring packet losses. A novel sequence-based approach is proposed that extends a given…

Systems and Control · Computer Science 2012-06-13 Achim Hekler , Jörg Fischer , Uwe D. Hanebeck

It is commonplace to encounter nonstationary data, of which the underlying generating process may change over time or across domains. The nonstationarity presents both challenges and opportunities for causal discovery. In this paper we…

Artificial Intelligence · Computer Science 2016-06-21 Kun Zhang , Biwei Huang , Jiji Zhang , Bernhard Schölkopf , Clark Glymour

This PhD thesis contains several contributions to the field of statistical causal modeling. Statistical causal models are statistical models embedded with causal assumptions that allow for the inference and reasoning about the behavior of…

Machine Learning · Statistics 2021-10-05 Martin Emil Jakobsen

The Control as Inference (CAI) framework has successfully transformed single-agent reinforcement learning (RL) by reframing control tasks as probabilistic inference problems. However, the extension of CAI to multi-agent, general-sum…

Multiagent Systems · Computer Science 2025-03-11 Zhiyu Zhao , Haifeng Zhang

We present a general theory of series-parallel mental architectures with selectively influenced stochastically non-independent components. A mental architecture is a hypothetical network of processes aimed at performing a task, of which we…

Neurons and Cognition · Quantitative Biology 2015-06-22 Ru Zhang , Ehtibar N. Dzhafarov

The purpose of this paper is to study 2-person zero-sum stochastic differential games, in which one player is a major one and the other player is a group of $N$ minor agents which are collectively playing, statistically identical and have…

Probability · Mathematics 2013-08-26 Rainer Buckdahn , Juan Li , Shige Peng

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomena which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary…

Dynamical Systems · Mathematics 2019-10-23 Aditi Kathpalia , Nithin Nagaraj

Recently, a theory for stochastic optimal control in non-linear dynamical systems in continuous space-time has been developed (Kappen, 2005). We apply this theory to collaborative multi-agent systems. The agents evolve according to a given…

Multiagent Systems · Computer Science 2012-07-02 Wim Wiegerinck , Bart van den Broek , Hilbert Kappen

One of the several obstacles in the widespread use of AI systems is the lack of requirements of interpretability that can enable a layperson to ensure the safe and reliable behavior of such systems. We extend the analysis of an agent…

Artificial Intelligence · Computer Science 2021-08-24 Pulkit Verma , Siddharth Srivastava

Most traditional models of uncertainty have focused on the associational relationship among variables as captured by conditional dependence. In order to successfully manage intelligent systems for decision making, however, we must be able…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Ross D. Shachter