eprintid: 1477562 rev_number: 28 eprint_status: archive userid: 608 dir: disk0/01/47/75/62 datestamp: 2017-05-25 14:52:00 lastmod: 2020-02-20 04:11:46 status_changed: 2017-05-25 14:52:00 type: proceedings_section metadata_visibility: show creators_name: Regli, JB creators_name: Nelson, JDB title: Piecewise parameterised Markov random fields for semi-local Hurst estimation ispublished: pub divisions: UCL divisions: A01 divisions: B04 divisions: C06 divisions: F61 keywords: Science & technology, technology, engineering, electrical & electronic, engineering. note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. abstract: Semi-local Hurst estimation is considered by incorporating a Markov random field model to constrain a wavelet-based pointwise Hurst estimator. This results in an estimator which is able to exploit the spatial regularities of a piecewise parametric varying Hurst parameter. The pointwise estimates are jointly inferred along with the parametric form of the underlying Hurst function which characterises how the Hurst parameter varies deterministically over the spatial support of the data. Unlike recent Hurst regularistion methods, the proposed approach is flexible in that arbitrary parametric forms can be considered and is extensible in as much as the associated gradient descent algorithm can accommodate a broad class of distributional assumptions without any significant modifications. The potential benefits of the approach are illustrated with simulations of various first-order polynomial forms. date: 2015-09-04 publisher: IEEE official_url: http://dx.doi.org/10.1109/EUSIPCO.2015.7362659 oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 1122360 doi: 10.1109/EUSIPCO.2015.7362659 isbn_13: 9780992862633 lyricists_name: Nelson, James Daniel Bryan lyricists_name: Regli, Jean-Baptiste lyricists_id: JDBNE39 lyricists_id: JGARE67 actors_name: Nelson, James Daniel Bryan actors_id: JDBNE39 actors_role: owner full_text_status: public series: European Signal Processing Conference publication: 2015 23RD EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO) volume: 23 place_of_pub: Nice, France pagerange: 1626-1630 pages: 5 event_title: 23rd European Signal Processing Conference (EUSIPCO) event_location: Nice, FRANCE event_dates: 31 August 2015 - 04 September 2015 institution: EUSIPCO issn: 2076-1465 book_title: Proceedings of 2015 23rd European Signal Processing Conference (EUSIPCO) editors_name: Dugelay, JL editors_name: Slock, D citation: Regli, JB; Nelson, JDB; (2015) Piecewise parameterised Markov random fields for semi-local Hurst estimation. In: Dugelay, JL and Slock, D, (eds.) Proceedings of 2015 23rd European Signal Processing Conference (EUSIPCO). (pp. pp. 1626-1630). IEEE: Nice, France. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1477562/1/2015a_eusipco.pdf