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An efficient $k$-means-type algorithm for clustering datasets with incomplete records

The $k$-means algorithm is arguably the most popular nonparametric clustering method but cannot generally be applied to datasets with incomplete records. The usual practice then is to either impute missing values under an assumed missing-completely-a

Externí odkaz: http://arxiv.org/abs/1802.08363

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One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations

Autor: Foias, Ciprian, Jolly, Michael S., Lithio, Daniel, Titi, Edriss S.

The evolution of a determining form for the 2D Navier-Stokes equations (NSE), which is an ODE on a space of trajectories is completely described. It is proved that at every stage of its evolution, the solution is a convex combination of the initial t

Externí odkaz: http://arxiv.org/abs/1604.01727

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Akademický článek

Abemaciclib in Combination With Endocrine Therapy for Patients With Hormone Receptor-Positive, HER2-Negative Metastatic Breast Cancer: A Phase 1b Study

Autor: Sara M. Tolaney, Muralidhar Beeram, J. Thaddeus Beck, Alison Conlin, E. Claire Dees, Shannon L. Puhalla, Brent N. Rexer, Howard A. Burris, Komal Jhaveri, Teresa Helsten, Carlos Becerra, Kevin Kalinsky, Kathleen N. Moore, Allison M. Manuel, Andrew Lithio, Gregory L. Price, Sonya C. Chapman, Lacey M. Litchfield, Matthew P. Goetz

Publikováno v: Frontiers in Oncology, Vol 11 (2022)

BackgroundCyclin-dependent kinases (CDK) 4 and 6 regulate G1 to S cell cycle progression and are often altered in cancers. Abemaciclib is a selective inhibitor of CDK4 and CDK6 approved for administration on a continuous dosing schedule as monotherap

Externí odkaz: https://doaj.org/article/0ebf489cd41e4cb59d2713c43b686f6f

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Beta Spaces: New Generalizations of Typically-Metric Properties

Autor: Carter, Annie, Lithio, Daniel, Niichel, Robert, Tager, Tristan

It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-metric properties. The ability of metric spaces to capture this informati

Externí odkaz: http://arxiv.org/abs/1011.4027

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Generalized Hyperspaces and Non-Metrizable Fractals

Autor: Carter, Annie, Lithio, Daniel, Tager, Tristan

Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the behavior of compact sets can be proven in the more general framework of $\

Externí odkaz: http://arxiv.org/abs/1011.4026

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