Research groups

Publications

2021

  1. Rambojun, A., Tillett, W., Shardlow, T., & Campbell, N. (2021) Active Latent Space Shape Model: A Bayesian Treatment of Shape Model Adaptation with an Application to Psoriatic Arthritis Radiographs. 2021 IEEE Winter Conference on Applications of Computer Vision (WACV).
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    @article{adwaye:2021, author = {Rambojun, A. and Tillett, W. and Shardlow, T. and Campbell, N.}, month = jan, title = {Active Latent Space Shape Model: A Bayesian Treatment of Shape Model Adaptation with an Application to Psoriatic Arthritis Radiographs}, year = {2021}, journal = {2021 IEEE Winter Conference on Applications of Computer Vision (WACV)}, file = {R38.pdf} }
  2. Cornalba, F., Shardlow, T., & Zimmer, J. (2021) Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions. Journal of Differential Equations, 284, 253–283.
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    @article{2005.06014, author = {Cornalba, Federico and Shardlow, Tony and Zimmer, Johannes}, title = {Well-posedness for a regularised inertial {Dean-Kawasaki} model for slender particles in several space dimensions}, year = {2021}, volume = {284}, month = may, day = {25}, pages = {253--283}, file = {R37.pdf}, doi = {10.1016/j.jde.2021.02.048}, journal = {Journal of Differential Equations}, eprinttype = {arxiv}, eprint = {2005.06014} }

2020

  1. Rambojun, A. (2020) Automatic Scoring of X-rays in Psoriatic Arthritis (PhD thesis).
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    @phdthesis{adwaye:phd, author = {Rambojun, Adwaye}, title = {Automatic Scoring of {X}-rays in Psoriatic Arthritis}, school = {Department of Mathematical Sciences, University of Bath, co-supervised with N. Campbell, W. Tillett}, uni = {researchportal.bath.ac.uk/en/studentTheses/automatic-scoring-of-x-rays-in-psoriatic-arthritis}, year = {2020} }
  2. Cornalba, F., Shardlow, T., & Zimmer, J. (2020) From weakly interacting particles to a regularised Dean–Kawasaki model. Nonlinearity, 33, 864–891.
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    @article{federico2018b, author = {Cornalba, Federico and Shardlow, Tony and Zimmer, Johannes}, title = {From weakly interacting particles to a regularised {Dean}--{Kawasaki} model}, journal = {Nonlinearity}, eprinttype = {arxiv}, eprint = {1811.06448}, year = {2020}, volume = {33}, number = {2}, pages = {864--891}, month = jan, doi = {10.1088/1361-6544/ab5174}, file = {R36.pdf} }

2019

  1. Cornalba, F., Shardlow, T., & Zimmer, J. (2019) Regularised Dean–Kawasaki model: derivation and analysis. SIAM Journal on Mathematical Analysis, 51, 1137–1187.
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    @article{federico2018, author = {Cornalba, Federico and Shardlow, Tony and Zimmer, Johannes}, title = {Regularised {Dean}--{Kawasaki} model: derivation and analysis}, journal = {SIAM Journal on Mathematical Analysis}, doi = {10.1137/18M1172697}, volume = {51}, number = {2}, pages = {1137--1187}, eprinttype = {arxiv}, eprint = {1802.01716}, year = {2019}, month = apr, file = {R35.pdf} }
  2. Shardlow, T. (2019) A walk outside spheres for the fractional Laplacian: fields and first eigenvalue. Mathematics of Computation, 88, 2767–2792.
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    @article{field_wos, author = {Shardlow, Tony}, title = {A walk outside spheres for the fractional Laplacian: fields and first eigenvalue}, journal = {Mathematics of Computation}, year = {2019}, doi = {10.1090/mcom/3422}, volume = {88}, pages = {2767-2792}, file = {R34.pdf}, eprinttype = {arxiv}, eprint = {1803.03921}, github = {tonyshardlow/julia_wos} }
  3. Cornalba, F. (2019) Modelling, regularisation, and analysis of Dean–Kawasaki-type equations (PhD thesis).
    bib

    @phdthesis{federico:phd, author = {Cornalba, Federico}, title = {Modelling, regularisation, and analysis of {Dean--Kawasaki}-type equations}, school = {Department of Mathematical Sciences, University of Bath, co-supervised with J. Zimmer}, year = {2019}, uni = {researchportal.bath.ac.uk/en/studentTheses/modelling-regularisation-and-analysis-of-deankawasaki-type-equati} }
  4. Rambojun, A., Tillett, W., Campbell, N.D.F., & Shardlow, T. (2019) A novel human-assisted computer algorithm for identification of hand bones on plain radiographs in psoriatic arthritis. Rheumatology, vol. 58.
     
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    @inproceedings{R2, author = {Rambojun, A and Tillett, William and Campbell, Neill D F and Shardlow, Tony}, title = {A novel human-assisted computer algorithm for identification of hand bones on plain radiographs in psoriatic arthritis}, journal = {Rheumatology}, year = {2019}, volume = {58}, number = {3}, doi = {10.1093/rheumatology/kez106.031} }
  5. Rambojun, A.M., Tillett, W., Campbell, N.D.F., & Shardlow, T. (2019) Development of an automated segmentation algorithm to identify bones of the hand. Annals of the Rheumatic Diseases, vol. 78.
     
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    @inproceedings{R1, author = {Rambojun, Adwaye M and Tillett, William and Campbell, Neill D F and Shardlow, Tony}, title = {Development of an automated segmentation algorithm to identify bones of the hand}, journal = {Annals of the Rheumatic Diseases}, year = {2019}, volume = {78}, number = {2}, doi = {10.1136/annrheumdis-2019-eular.2336} }
  6. Deveney, T., Mueller, E., & Shardlow, T. (2019) A deep surrogate approach to efficient Bayesian inversion in PDE and integral equation models.
     
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    @online{teo, author = {Deveney, T. and Mueller, E. and Shardlow, T.}, title = {A deep surrogate approach to efficient Bayesian inversion in PDE and integral equation models}, eprinttype = {arxiv}, eprint = {1910.01547}, year = {2019} }

Full publication list