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pro vyhledávání: '"Weed AS"'
Autor:
Puri, Sandeep, Lin, Cuikun, Gillespie, Andrew, Jones, Ian, Carty, Christopher, Kelley, Mitchell, Weed, Ryan, Duncan, Robert V.
In this article, we present our recent experiments on fission fragment rocket propulsion, and on an innovative new design for an alpha particle detection system that has been inspired by these rocketry results. Our test platform, which operates withi
Externí odkaz:
http://arxiv.org/abs/2409.15206
Mixed multinomial logits are discrete mixtures introduced several decades ago to model the probability of choosing an attribute from $p$ possible candidates, in heterogeneous populations. The model has recently attracted attention in the AI literatur
Externí odkaz:
http://arxiv.org/abs/2409.09903
We propose a procedure for estimating the Schr\"odinger bridge between two probability distributions. Unlike existing approaches, our method does not require iteratively simulating forward and backward diffusions or training neural networks to fit un
Externí odkaz:
http://arxiv.org/abs/2408.11686
The unadjusted Langevin algorithm is commonly used to sample probability distributions in extremely high-dimensional settings. However, existing analyses of the algorithm for strongly log-concave distributions suggest that, as the dimension $d$ of th
Externí odkaz:
http://arxiv.org/abs/2408.13115
Autor:
Han, Yanjun, Niles-Weed, Jonathan
We prove bounds on statistical distances between high-dimensional exchangeable mixture distributions (which we call permutation mixtures) and their i.i.d. counterparts. Our results are based on a novel method for controlling $\chi^2$ divergences betw
Externí odkaz:
http://arxiv.org/abs/2408.09341
We present an introduction to the field of statistical optimal transport, based on lectures given at \'Ecole d'\'Et\'e de Probabilit\'es de Saint-Flour XLIX.
Comment: Lecture Notes for \'Ecole d'\'Et\'e de Probabilit\'es de Saint-Flour XLIX 2019
Comment: Lecture Notes for \'Ecole d'\'Et\'e de Probabilit\'es de Saint-Flour XLIX 2019
Externí odkaz:
http://arxiv.org/abs/2407.18163
Autor:
Kassraie, Parnian, Pooladian, Aram-Alexandre, Klein, Michal, Thornton, James, Niles-Weed, Jonathan, Cuturi, Marco
Optimal transport (OT) has profoundly impacted machine learning by providing theoretical and computational tools to realign datasets. In this context, given two large point clouds of sizes $n$ and $m$ in $\mathbb{R}^d$, entropic OT (EOT) solvers have
Externí odkaz:
http://arxiv.org/abs/2406.05061
Autor:
Murphy, Tommy, Weed, David
We characterize the Archimedean solids among the convex uniform polyhedra via face embeddings into a regular Tetrahedron. This result has been listed without proof in the literature. As an application, we obtain a lattice packing of $\mathbb{R}^3$ by
Externí odkaz:
http://arxiv.org/abs/2404.15142
Entropic Brenier maps are regularized analogues of Brenier maps (optimal transport maps) which converge to Brenier maps as the regularization parameter shrinks. In this work, we prove quantitative stability bounds between entropic Brenier maps under
Externí odkaz:
http://arxiv.org/abs/2404.02855
Emerging studies are geared toward exploring new methods of nuclear rocket propulsion to provide more efficient space transit beyond Earth's orbit. One method is to employ a Fission Fragment Rocket Engine utilizing fissionable layers embedded in a lo
Externí odkaz:
http://arxiv.org/abs/2402.00150