Research
I have various research interests under the umbrella of applied and computational linear algebra, including:
Clustering in graphs, hypergraphs, and other structures
Random graphs and matrices
High-dimensional probability
Optimization
Quantum computation
Publications
Sam Cole, Michał Eckstein, Shmuel Friedland, and Karol Życzkowski. On Quantum Optimal Transport. Mathematical Physics, Analysis and Geometry 26, 14, 2023.
Sam Cole and Steve Kirkland. Clusters in Markov Chains via Singular Vectors of Laplacian Matrices. Linear Algebra and its Applications, 660:1-39, 2022,
Shmuel Friedland, Michał Eckstein, Sam Cole, and Karol Życzkowski. Quantum Monge-Kantorovich problem and transport distance between density matrices. Physical Review Letters 129, 110402, 2022.
Sam Cole. A Note on Projection-Based Recovery of Clusters in Markov Chains. arXiv preprint: 2109.05165, 2021.
Sam Cole and Yizhe Zhu. Exact recovery in the hypergraph stochastic block model: a spectral algorithm. Linear Algebra and its Applications, 593:45 – 73, 2020.
Sam Cole. Recovering nonuniform planted partitions via iterated projection. Linear Algebra and its Applications, 576:79 – 107, 2019.
Sam Cole, Shmuel Friedland, and Lev Reyzin. A simple spectral algorithm for recovering planted partitions. Special Matrices, 5(1):139–157, 2017.