News
March 2024. I'm very happy to say that the UKRI AI Hub on Probabilistic Artificial Intelligence has received £9.5m funding for the next five years. PhD positions are now open at Warwick, see here, these positions can cover international fees with a full scholarship. Other PhD positions at the partner universities are also being announced and will appear here. Postdoc positions are expected to be advertised soon and will appear here when they are.
I've also been awarded a Leverhulme Trust Research Project grant and will soon be advertising a 3-year postdoc position to work on this project. The project involves analysing robustness and uncertainty quantification of variational problems on graphs that come from semi-supervised machine learning problems. I'm particularly keen to develop methods that work for rare-events and unbalanced classes. The post will be advertised soon and you can contact me for informal inquiries.
November 2023. A few updates on papers.
Accepted papers:
Rates of Convergence for Regression with the Graph Poly-Laplacian, with Nicolas Garcia Trillos and Ryan Murray, has been accepted and will appear in Sampling Theory, Signal Processing, and Data Analysis. See here for the paper.
A Linear Transportation Lp Distance for Pattern Recognition, with Oliver Cook, Mihai Cucuringu, Tim Hurst, Carola Schoenlieb and Kostas Zygalakis, has been accepted and will appear in Pattern Recognition. See here for the paper.
PTLp: Partial Transport Lp Distances, with Xinran Liu, Yikun Bai, Huy Tran, Zhanqi Zhu and Soheil Kolouri, has been accepted to the NeurIPS Optimal Transport and Machine Learning Workshop. See here for the paper.
New preprints:
Discrete-to-Continuum Rates of Convergence for p-Laplacian Regularization in Semi-Supervised Learning with Finite Labels, with Adrien Weihs and Jalal Fadili, is now on arxiv. See here for the paper.
Manifold Learning in Wasserstein Space, with Keaton Hamm, Caroline Moosmueller and Bernhard Schmitzer, is now on arxiv. See here for the paper.
September 2023. My paper with Lisa Kruesser, Irene Fonseca and Carola-Bibiane Schoenlieb on Gamma-Convergence of an Ambrosio-Tortorelli Approximation Scheme for Image Segmentation has been accepted at the Indiana University Mathematics Journal. See here for the paper.
August 2023. I have now moved to the University of Warwick. I enjoyed my time in Manchester and I'm looking forward to new challenges at Warwick.
July 2023. My paper with Xinran Liu, Yikun Bai, Huy Tran, Zhanqi Zhu and Soheil Kolouri on PTLp: Partial Transport Lp Distances is now on arxiv. See here for the paper.
March 2023. My paper with my PhD student Adrien Weihs on Consistency of Fractional Graph-Laplacian Regularization in Semi-Supervised Learning with Finite Labels is now on arxiv. See here for the paper.
February 2023. My paper with Yikun Bai, Bernhard Schmitzer, and Soheil Kolouri on Sliced Optimal Partial Transport has been accepted at CVPR.
March 2022. My paper with Nicolas Garcia Trillos and Ryan Murray on From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds has been accepted to ARMA. See here for the paper.
February 2022. My paper with Irene Fonseca, Lisa Maria Kreusser and Carola-Bibiane Schönlieb on Γ-Convergence of an Ambrosio-Tortorelli approximation scheme for image segmentation is now on arxiv. See here for the paper.
January 2022. My paper with Tan Minh Nguyen, Hedi Xia, Thomas Strohmer, Andrea Bertozzi, Stanley Osher and Bao Wang on GRAND++: Graph Neural Diffusion with A Source Term has been accepted to ICLR 2022. See here for the paper.
August - December 2021. I will be a virtual visitor at the Simons Institute programme on Geometric Methods in Optimization and Sampling from the 17th August 2021 to the 17th December.
July - December 2021. I will be visiting the Isaac Newton Institute programme on the Mathematics of Deep Learning from the 1st July 2021 to the 17th December. For anyone local to Cambridge I can be found most days in Office M14 in the INI.
November 2021. New website! Please check back soon as I update and create the website.