Statistical Methods in Estimation and Control

Project Member(s): Bishop, A.

Funding or Partner Organisation: National ICT Australia

Start year: 2015

Summary: Idea: Summarising the information encoded in a collection of (probability) distributions is a fundamental problem in statistics, estimation, control theory, machine learning, computer vision, and data fusion. Approach: This project is developing methods to compute an average probability distribution that captures in a single distribution the information encoded in a collection of input data.

Publications:

Bishop, AN, Moral, PD & Pathiraja, SD 2017, 'Perturbations and projections of Kalman-Bucy semigroups', Stochastic Processes and their Applications, Volume 128, Issue 9, pages: 2857-2904, September 2018, vol. 128, no. 9, pp. 2857-2904.
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Houssineau, J & Bishop, AN 2017, 'Smoothing and filtering with a class of outer measures', SIAM/ASA Journal on Uncertainty Quantification, Volume 6, Issue 2, pages: 845-866, 2018, vol. 6, no. 2, pp. 845-866.
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Bishop, AN & Moral, PD 2016, 'On the Stability of Kalman-Bucy Diffusion Processes', SIAM Journal on Control and Optimisation, Volume 55, Issue 6, pages: 4015-4047, 2017, vol. 55, no. 6, pp. 4015-4047.
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Shao, J, Qin, J, Bishop, AN, Huang, T-Z & Zheng, WX 2016, 'A novel analysis on the efficiency of hierarchy among leader-following systems', Automatica, vol. 73, pp. 215-222.
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Bertoli, F & Bishop, AN 2015, 'Monte Carlo Methods for Controller Approximation and Stabilization in Nonlinear Stochastic Optimal Control**This work was supported by AFOSR/AOARD via AOARD- 144042. A.N. Bishop is also supported by NICTA and the Australian Research Council (ARC) via a Discovery Early Career Researcher Award (DE-120102873). He is also an adjunct Fellow at the Australian National University. adrian.bishop@uts.edu.au.', IFAC-PapersOnLine, vol. 48, no. 28, pp. 811-816.
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Bertoli, F & Bishop, AN 2015, 'Nonlinear stochastic receding horizon control: stability, robustness and Monte Carlo methods for control approximation', pages:, vol. 23, no. 10, pp. 7-2402.
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Deghat, M & Bishop, AN 1970, 'Distributed shape control and collision avoidance for multi-agent systems with bearing-only constraints', 2015 European Control Conference (ECC), 2015 European Control Conference (ECC), IEEE, Linz, Austria, pp. 2342-2347.
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FOR Codes: Statistical Theory, Calculus of Variations, Systems Theory and Control Theory, Expanding Knowledge in the Mathematical Sciences, Calculus of variations, mathematical aspects of systems theory and control theory , Statistical theory

Acknowledgement of Country

UTS acknowledges the Gadigal people of the Eora Nation, the Boorooberongal people of the Dharug Nation, the Bidiagal people and the Gamaygal people, upon whose ancestral lands our university stands. We would also like to pay respect to the Elders both past and present, acknowledging them as the traditional custodians of knowledge for these lands.