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Robustness is a basic property of any control system. In the context of linear output regulation, it was proved that embedding an internal model of the exogenous signals is necessary and sufficient to achieve tracking of the desired…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Michelangelo Bin , Daniele Astolfi , Lorenzo Marconi

A central concept in active inference is that the internal states of a physical system parametrise probability measures over states of the external world. These can be seen as an agent's beliefs, expressed as a Bayesian prior or posterior.…

Artificial Intelligence · Computer Science 2021-12-28 Nathaniel Virgo , Martin Biehl , Simon McGregor

In this paper we investigate the existence of a separation principle between model identification and control design in the context of model predictive control. First, we clarify that such a separation principle holds asymptotically in the…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Giacomo Baggio , Ruggero Carli , Riccardo Alessandro Grimaldi , Gianluigi Pillonetto

Is there a mathematical theory underlying intelligence? Control theory addresses the output side, motor control, but the work of the last 30 years has made clear that perception is a matter of Bayesian statistical inference, based on…

Numerical Analysis · Mathematics 2025-10-20 David Mumford

The abundance of process operating data in modern industries, along with the rapid advancement of learning techniques, has led to a paradigm shift towards data-centric analysis and control. However, integrating machine learning with control…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Yitao Yan , Yu Tong , Jie Bao , Wei Wang

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

Methodology · Statistics 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei

Decision analysis deals with modeling and enhancing decision processes. A principal challenge in improving behavior is in obtaining a transparent description of existing behavior in the first place. In this paper, we develop an expressive,…

Machine Learning · Statistics 2023-10-31 Daniel Jarrett , Alihan Hüyük , Mihaela van der Schaar

Learning about the causal structure of the world is a fundamental problem for human cognition. Causal models and especially causal learning have proved to be difficult for large pretrained models using standard techniques of deep learning.…

Artificial Intelligence · Computer Science 2026-04-16 Eunice Yiu , Kelsey Allen , Shiry Ginosar , Alison Gopnik

People act upon their desires, but often, also act in adherence to implicit social norms. How do people infer these unstated social norms from others' behavior, especially in novel social contexts? We propose that laypeople have intuitive…

Computers and Society · Computer Science 2019-05-28 Zhi-Xuan Tan , Desmond C. Ong

The idea that the brain is a probabilistic (Bayesian) inference machine, continuously trying to figure out the hidden causes of its inputs, has become very influential in cognitive (neuro)science over recent decades. Here I present a…

Neurons and Cognition · Quantitative Biology 2024-02-15 Eelke Spaak

In this paper the theory of robust output regulation of distributed parameter systems with infinite-dimensional exosystems is extended for plants with unbounded control and observation. As the main result, we present the internal model…

Optimization and Control · Mathematics 2015-06-24 Lassi Paunonen , Seppo Pohjolainen

Despite the recent progress in deep learning and reinforcement learning, transfer and generalization of skills learned on specific tasks is very limited compared to human (or animal) intelligence. The lifelong, incremental building of…

Artificial Intelligence · Computer Science 2022-08-10 Louis Annabi

A model of sensory information processing is presented. The model assumes that learning of internal (hidden) generative models, which can predict the future and evaluate the precision of that prediction, is of central importance for…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Andras Lorincz

In both neuroscience and artificial intelligence, popular functional frameworks and neural network formulations operate by making use of extrinsic error measurements and global learning algorithms. Through a set of conjectures based on…

Neurons and Cognition · Quantitative Biology 2026-02-18 Linus Mårtensson , Jonas M. D. Enander , Udaya B. Rongala , Henrik Jörntell

Enquiries concerning the underlying mechanisms and the emergent properties of a biological brain have a long history of theoretical postulates and experimental findings. Today, the scientific community tends to converge to a single…

Neurons and Cognition · Quantitative Biology 2022-01-17 Zafeirios Fountas , Alexey Zakharov

Categories such as animal or furniture are acquired at an early age and play an important role in processing, organizing, and communicating world knowledge. Categories exist across cultures: they allow to efficiently represent the…

Computation and Language · Computer Science 2019-02-26 Lea Frermann , Mirella Lapata

This paper is about output-feedback control problems for general linear systems in the presence of given state-, control-, disturbance-, and measurement error constraints. Because the traditional separation theorem in stochastic control is…

Optimization and Control · Mathematics 2023-07-11 Boris Houska

In this paper the problem of learning appropriate bias for an environment of related tasks is examined from a Bayesian perspective. The environment of related tasks is shown to be naturally modelled by the concept of an {\em objective}…

Machine Learning · Computer Science 2019-11-15 Jonathan Baxter

A major target of linguistics and cognitive science has been to understand what class of learning systems can acquire the key structures of natural language. Until recently, the computational requirements of language have been used to argue…

Artificial Intelligence · Computer Science 2022-01-27 Yuan Yang

The key distinguishing property of a Bayesian approach is marginalization instead of optimization, not the prior, or Bayes rule. Bayesian inference is especially compelling for deep neural networks. (1) Neural networks are typically…

Machine Learning · Computer Science 2020-01-30 Andrew Gordon Wilson
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