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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence / EAAI-20

Bayesian Functional Optimisation with Shape Prior

February 1, 2023

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Authors

Pratibha Vellanki

Deakin University


Santu Rana

Deakin University


Sunil Gupta

Deakin University


David Rubin de Celis Leal

Deakin University


Alessandra Sutti

Deakin University


Murray Height

Deakin University


Svetha Venkatesh

Deakin University


DOI:

10.1609/aaai.v33i01.33011617


Abstract:

Real world experiments are expensive, and thus it is important to reach a target in a minimum number of experiments. Experimental processes often involve control variables that change over time. Such problems can be formulated as functional optimisation problem. We develop a novel Bayesian optimisation framework for such functional optimisation of expensive black-box processes. We represent the control function using Bernstein polynomial basis and optimise in the coefficient space. We derive the theory and practice required to dynamically adjust the order of the polynomial degree, and show how prior information about shape can be integrated. We demonstrate the effectiveness of our approach for short polymer fibre design and optimising learning rate schedules for deep networks.

Topics: AAAI

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HOW TO CITE:

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh Bayesian Functional Optimisation with Shape Prior Proceedings of the AAAI Conference on Artificial Intelligence (2019) 1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh Bayesian Functional Optimisation with Shape Prior AAAI 2019, 1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh (2019). Bayesian Functional Optimisation with Shape Prior. Proceedings of the AAAI Conference on Artificial Intelligence, 1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh. Bayesian Functional Optimisation with Shape Prior. Proceedings of the AAAI Conference on Artificial Intelligence 2019 p.1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh. 2019. Bayesian Functional Optimisation with Shape Prior. "Proceedings of the AAAI Conference on Artificial Intelligence". 1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh. (2019) "Bayesian Functional Optimisation with Shape Prior", Proceedings of the AAAI Conference on Artificial Intelligence, p.1617-1624

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh, "Bayesian Functional Optimisation with Shape Prior", AAAI, p.1617-1624, 2019.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh. "Bayesian Functional Optimisation with Shape Prior". Proceedings of the AAAI Conference on Artificial Intelligence, 2019, p.1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh. "Bayesian Functional Optimisation with Shape Prior". Proceedings of the AAAI Conference on Artificial Intelligence, (2019): 1617-1624.

Pratibha Vellanki||Santu Rana||Sunil Gupta||David Rubin de Celis Leal||Alessandra Sutti||Murray Height||Svetha Venkatesh. Bayesian Functional Optimisation with Shape Prior. AAAI[Internet]. 2019[cited 2023]; 1617-1624.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
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Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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