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We propose information-directed sampling -- a new approach to online optimization problems in which a decision-maker must balance between exploration and exploitation while learning from partial feedback. Each action is sampled in a manner…

Machine Learning · Computer Science 2017-07-10 Daniel Russo , Benjamin Van Roy

We define the relevant information in a signal $x\in X$ as being the information that this signal provides about another signal $y\in \Y$. Examples include the information that face images provide about the names of the people portrayed, or…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Naftali Tishby , Fernando C. Pereira , William Bialek

In stochastic systems, numerically sampling the relevant trajectories for the estimation of the large deviation statistics of time-extensive observables requires overcoming their exponential (in space and time) scarcity. The optimal way to…

Statistical Mechanics · Physics 2021-01-14 Tom H. E. Oakes , Adam Moss , Juan P. Garrahan

This paper addresses the problem of optimal control of robotic sensing systems aimed at autonomous information gathering in scenarios such as environmental monitoring, search and rescue, and surveillance and reconnaissance. The information…

Systems and Control · Computer Science 2016-01-28 Mikko Lauri , Nikolay Atanasov , George J. Pappas , Risto Ritala

Efficient motion planning algorithms are of central importance for deploying robots in the real world. Unfortunately, these algorithms often drastically reduce the dimensionality of the problem for the sake of feasibility, thereby foregoing…

Robotics · Computer Science 2022-12-02 Alex Beaudin , Hsiu-Chin Lin

In this paper we develop a dynamic form of Bayesian optimization for machine learning models with the goal of rapidly finding good hyperparameter settings. Our method uses the partial information gained during the training of a machine…

Machine Learning · Statistics 2014-06-17 Kevin Swersky , Jasper Snoek , Ryan Prescott Adams

Surveillance and exploration of large environments is a tedious task. In spaces with limited environmental cues, random-like search is an effective approach as it allows the robot to perform online coverage of environments using simple…

Robotics · Computer Science 2022-11-15 Karan Sridharan , Patrick McNamee , Zahra Nili Ahmadabadi , Jeffrey Hudack

We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has the objective of directing the system to a state which is…

chao-dyn · Physics 2009-10-31 Ramakrishna Ramaswamy , Sudeshna Sinha , Neelima Gupte

The identification of the governing equations of chaotic dynamical systems from data has recently emerged as a hot topic. While the seminal work by Brunton et al. reported proof-of-concepts for idealized observation setting for…

Machine Learning · Computer Science 2019-03-26 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

In this paper, we propose a unified information theoretic framework for learning-motivated methods aimed at odometry estimation, a crucial component of many robotics and vision tasks such as navigation and virtual reality where relative…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Sen Zhang , Jing Zhang , Dacheng Tao

We propose a novel approach which exploits chaos to enhance classification accuracy. Specifically, the available data that need to be classified are treated as vectors that are first lifted into a higher-dimensional space and then used as…

Machine Learning · Computer Science 2026-04-21 Panos Stinis

There are many cases in collider physics and elsewhere where a calibration dataset is used to predict the known physics and / or noise of a target region of phase space. This calibration dataset usually cannot be used out-of-the-box but…

High Energy Physics - Phenomenology · Physics 2022-12-14 Radha Mastandrea , Benjamin Nachman

A central area of research in nonlinear science is the study of instabilities that drive the emergence of extreme events. Unfortunately, experimental techniques for measuring such phenomena often provide only partial characterization. For…

Computational Physics · Physics 2018-06-19 Mikko Närhi , Lauri Salmela , Juha Toivonen , Cyril Billet , John M. Dudley , Goëry Genty

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

State-of-the-art machine learning algorithms demonstrate close to absolute performance in selected challenges. We provide arguments that the reason can be in low variability of the samples and high effectiveness in learning typical…

Computer Vision and Pattern Recognition · Computer Science 2018-07-25 Egor Illarionov , Roman Khudorozhkov

The process of training an artificial neural network involves iteratively adapting its parameters so as to minimize the error of the network's prediction, when confronted with a learning task. This iterative change can be naturally…

Machine Learning · Computer Science 2024-04-10 Kaloyan Danovski , Miguel C. Soriano , Lucas Lacasa

A procedure to characterize chaotic dynamical systems with concepts of complex networks is pursued, in which a dynamical system is mapped onto a network. The nodes represent the regions of space visited by the system, while edges represent…

Statistical Mechanics · Physics 2011-12-20 Ernesto P. Borges , Daniel O. Cajueiro , Roberto F. S. Andrade

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

Chaos and unpredictability are traditionally synonymous, yet large-scale machine learning methods recently have demonstrated a surprising ability to forecast chaotic systems well beyond typical predictability horizons. However, recent works…

Machine Learning · Computer Science 2023-11-27 William Gilpin

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty
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