November 2023. A few updates on 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.
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.
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.
November 2021. New website! Please check back soon as I update and create the website.