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In this work, we consider a sensor selection drawn at random by a sampling with replacement policy for a linear time-invariant dynamical system subject to process and measurement noise. We employ the Kalman filter to estimate the state of…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Christopher I. Calle , Shaunak D. Bopardikar

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

Machine Learning · Statistics 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

Causal questions are omnipresent in many scientific problems. While much progress has been made in the analysis of causal relationships between random variables, these methods are not well suited if the causal mechanisms only manifest…

Methodology · Statistics 2020-09-23 Nicola Gnecco , Nicolai Meinshausen , Jonas Peters , Sebastian Engelke

Standard techniques for studying biological systems largely focus on their dynamical, or, more recently, their informational properties, usually taking either a reductionist or holistic perspective. Yet, studying only individual system…

Quantitative Methods · Quantitative Biology 2018-02-07 William Marshall , Hyunju Kim , Sara I. Walker , Giulio Tononi , Larissa Albantakis

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Regularization improves generalization of supervised models to out-of-sample data. Prior works have shown that prediction in the causal direction (effect from cause) results in lower testing error than the anti-causal direction. However,…

Machine Learning · Computer Science 2020-09-29 Trent Kyono , Yao Zhang , Mihaela van der Schaar

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

Adaptation and Self-Organizing Systems · Physics 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

There is a brief description of the probabilistic causal graph model for representing, reasoning with, and learning causal structure using Bayesian networks. It is then argued that this model is closely related to how humans reason with and…

Artificial Intelligence · Computer Science 2013-02-08 Scott B. Morris , Doug Cork , Richard E. Neapolitan

Probability trees are one of the simplest models of causal generative processes. They possess clean semantics and -- unlike causal Bayesian networks -- they can represent context-specific causal dependencies, which are necessary for e.g.…

Artificial Intelligence · Computer Science 2020-11-13 Tim Genewein , Tom McGrath , Grégoire Déletang , Vladimir Mikulik , Miljan Martic , Shane Legg , Pedro A. Ortega

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

Much of scientific data is collected as randomized experiments intervening on some and observing other variables of interest. Quite often, a given phenomenon is investigated in several studies, and different sets of variables are involved…

Methodology · Statistics 2012-10-19 Antti Hyttinen , Frederick Eberhardt , Patrik O. Hoyer

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

Interpretability research now offers a variety of techniques for identifying abstract internal mechanisms in neural networks. Can such techniques be used to predict how models will behave on out-of-distribution examples? In this work, we…

Machine Learning · Computer Science 2025-11-12 Jing Huang , Junyi Tao , Thomas Icard , Diyi Yang , Christopher Potts

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

Computation · Statistics 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

This paper deals with the filtering problem for a class of discrete time stochastic volatility models in which the disturbances have rational probability density functions. This includes the Cauchy distributions and Student t-distributions…

Optimization and Control · Mathematics 2007-06-25 Bernard Hanzon , Wolfgang Scherrer

When designing optimal controllers for any system, it is often the case that the true state of the system is unknown to the controller, for example due to noisy measurements or partially observable states. Incomplete state information must…

Optimization and Control · Mathematics 2014-01-23 Kendra Lesser , Meeko Oishi

This paper analyzes the notion of causality in a conceptual model, mainly as applied in software engineering. Conceptual system modeling can be considered a three-level process that begins with building a static structural description to…

Software Engineering · Computer Science 2020-05-07 Sabah Al-Fedaghi

This paper examines two related problems that are central to developing an autonomous decision-making agent, such as a robot. Both problems require generating structured representafions from a database of unstructured declarative knowledge…

Artificial Intelligence · Computer Science 2013-04-10 Spencer Star

The key of sequential recommendation lies in the accurate item correlation modeling. Previous models infer such information based on item co-occurrences, which may fail to capture the real causal relations, and impact the recommendation…

Information Retrieval · Computer Science 2022-12-14 Zhenlei Wang , Xu Chen , Rui Zhou , Quanyu Dai , Zhenhua Dong , Ji-Rong Wen

With the advancement of data science, the collection of increasingly complex datasets has become commonplace. In such datasets, the data dimension can be extremely high, and the underlying data generation process can be unknown and highly…

Machine Learning · Statistics 2024-03-29 Yaxin Fang , Faming Liang
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