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pro vyhledávání: '"Adam Quinn"'
We prove the large deviations principle for empirical Bures-Wasserstein barycenters of independent, identically-distributed samples of covariance matrices and covariance operators. As an application, we explore some consequences of our results for th
Externí odkaz:
http://arxiv.org/abs/2409.11384
Autor:
Hummel, Sebastian, Jaffe, Adam Quinn
Consider all the possible ways of coupling together two Brownian motions with the same starting position but with different drifts onto the same probability space. It is known that there exist couplings which make these processes agree for some rando
Externí odkaz:
http://arxiv.org/abs/2309.16922
Autor:
Blanchard, Moise, Jaffe, Adam Quinn
This work resolves the following question in non-Euclidean statistics: Is it possible to consistently estimate the Fr\'echet mean set of an unknown population distribution, with respect to the Hausdorff metric, when given access to independent identi
Externí odkaz:
http://arxiv.org/abs/2212.12057
Autor:
Jaffe, Adam Quinn
We introduce and study a notion of strong duality for two classes of optimization problems commonly occurring in probability theory. That is, on an abstract measurable space $(\Omega,\mathcal{F})$, we say that an equivalence relation $E$ on $\Omega$
Externí odkaz:
http://arxiv.org/abs/2207.14239
Autor:
Jaffe, Adam Quinn
We introduce a class of clustering procedures which includes $k$-means and $k$-medians, as well as variants of these where the domain of the cluster centers can be chosen adaptively (for example, $k$-medoids) and where the number of cluster centers c
Externí odkaz:
http://arxiv.org/abs/2202.13423
Autor:
Jaffe, Adam Quinn
A virtual Markov chain (VMC) is a sequence $\{X_N\}_{N=0}^{\infty}$ of Markov chains (MCs) coupled together on the same probability space such that $X_N$ has state space $\{0,1,\ldots, N\}$ and such that removing all instances of $N~+~1$ from the sam
Externí odkaz:
http://arxiv.org/abs/2202.02638
Persistent homology has emerged as a novel tool for data analysis in the past two decades. However, there are still very few shapes or even manifolds whose persistent homology barcodes (say of the Vietoris-Rips complex) are fully known. Towards this
Externí odkaz:
http://arxiv.org/abs/1807.10971
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Autor:
Adam Quinn
Publikováno v:
Radical History Review. 2023:37-61
At the turn of the nineteenth and twentieth centuries, an industrial capitalist order stretched its grasp across the globe, placing control of farms, mines, and forests in the hands of wealthy industrialists. Living through this period of rapid and u
Akademický článek
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