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Award ID contains: 2420029

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  1. ; ; (, Journal of machine learning research)
    Free, publicly-accessible full text available December 24, 2025
  2. ; ; ; ; (, PMLR)
    Salakhutdinov, Ruslan; Kolter, Zico; Heller, Katherine; Weller, Adrian; Oliver, Nuria; Scarlett, Jonathan; Berkenkamp, Felix (Ed.)
    Accepted Manuscript Full Text Available
  3. ; ; ; ; (, PMLR)
    Salakhutdinov, Ruslan; Kolter, Zico; Heller, Katherine; Weller, Adrian; Oliver, Nuria; Scarlett, Jonathan; Berkenkamp, Felix (Ed.)
    Accepted Manuscript Full Text Available
  4. ; ; ; ; ; (, PMLR)
    Kiyavash, Negar; Mooij, Joris M (Ed.)
    Accepted Manuscript Full Text Available
  5. ; ; (, SIAM Journal on Financial Mathematics)
    Full Text Available 
  6. ; ; (, Journal of Nonlinear Science)
    Full Text Available 
  7. ; (, SIAM Journal on Financial Mathematics)
    Full Text Available 
  8. ; (, Entropy)
    We studied the dynamical behaviors of degenerate stochastic differential equations (SDEs). We selected an auxiliary Fisher information functional as the Lyapunov functional. Using generalized Fisher information, we conducted the Lyapunov exponential convergence analysis of degenerate SDEs. We derived the convergence rate condition by generalized Gamma calculus. Examples of the generalized Bochner’s formula are provided in the Heisenberg group, displacement group, and Martinet sub-Riemannian structure. We show that the generalized Bochner’s formula follows a generalized second-order calculus of Kullback–Leibler divergence in density space embedded with a sub-Riemannian-type optimal transport metric. 
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