Research

My research now mainly focuses on the following topics

  1. Classical and deep Reinforcement learning

  2. Computational game theory

  3. Diffusion based generative models

  4. Algorithmic foundations of machine and deep learning

  5. Financial machine learning and mathematics

  6. Quantum machine learning

Some of my publications from recent times

  1. Lyapunov Exponents for Diversity in Differentiable Games
    J Lorraine, P Vicol, J Parker-Holder,     T Kachman, L Metz, J Foerster
    arXiv preprint arXiv:2112.14570 (accepted to International Conference on Autonomous
    Agents and Multiagent Systems)

  2. Anomalous diffusion: Fractional Brownian motion vs. Fractional Ito motion.
    Eliazar, Iddo Isaac, and     Tal Kachman
    Journal of Physics A: Mathematical and Theoretical (2022).

  3. Gotta Go Fast with Score-Based Generative Models
    A Jolicoeur-Martineau, K Li, R Piché-Taillefer,     T Kachman, I Mitliagkas
    The Symbiosis of Deep Learning and Differential Equations

  4. Using bifurcations for diversity in differentiable games
    J Lorraine, J Parker-Holder, P Vicol, A Pacchiano, L Metz,     T Kachman, L Metz, J Foerster. ICML 2021: The Thirty-eighth International Conference on Machine Learning, 1-11

  5. Improving Tax-Aware Performance Through Better Substitutions
    Tal Kachman, Avi Rosenbluth, Omer Cedar
    Regius magazine, 74-79

In Review Process:

  1. Gradients are Not All You Need
    L Metz, CD Freeman, SS Schoenholz,     T Kachman
    arXiv preprint arXiv:2111.05803

  2. Gotta Go Fast When Generating Data with Score-Based Models
    A Jolicoeur-Martineau, K Li, R Piché-Taillefer,     T Kachman, I Mitliagkas
    arXiv preprint arXiv:2105.14080

Some of my patents from recent times

  1. Quantum space distance estimation for classifier training using hybrid classical-quantum computing system
    L Horesh, JA Gunnels,     T Kachman, CH Crawford
    US Patent 11,164,099

  2. Quantum walk for community clique detection
    T Kachman, L Horesh, G Nannicini, MS Squillante, JA Gunnels, …
    US Patent App. 16/573,862

  3. Quantum topological classification

T Kachman, KL Clarkson, MS Squillante, L Horesh, IY Akhalwaya

US Patent App. 16/576,046

In a past life I was mainly focused on Physics related things such as

  1. Non equilibrium statistical mechanics

  2. Foundations of quantum mechanics

  3. Quantum chaos

  4. Molecular dynamics and Computational chemistry

  5. Nonlinear optics

  6. Heat conduction in nanometric systems