New findings control FDR for online testing methods under positive dependence.
arXiv research
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Affirm Lord Rayleigh's conjecture on curved spaces for clamped plates.
Gringotts Wizarding Bank is well known as the only financial institution in all of the Wizarding UK as documented in the works recounting the heroics of Harry Potter. The concentration of power and wealth in this single bank needs to be weighed against the financial stability of the entire Wizarding economy. This study…
Learning to disentangle the hidden factors of variations within a set of observations is a key task for artificial intelligence. We present a unified formulation for class and content disentanglement and use it to illustrate the limitations of current methods. We therefore introduce LORD, a novel method based on Latent…
This article introduces proximal planar vortex 1-cycles, resembling the structure of vortex atoms introduced by William Thomson (Lord Kelvin) in 1867 and recent work on the proximity of sets that overlap either spatially or descriptively. Vortex cycles resemble Thomson's model of a vortex atom, inspired by P.G. Tait's …
Georg de Buquoy, Lord de Vaux, lived in Nove Hrady, Prague and Cerveny Hradek for most of his productive life. From his extensive scientific contributions, both theoretical and experimental, we expand here the discussion of his contributions to mathematical economy. He is mainly celebrated as the first persons to defin…
New isoperimetric inequality for clamped plates in RCD(0,N) spaces, sharp and stable.
We study Lord Rayleigh's problem for clamped plates on an arbitrary -dimensional Cartan-Hadamard manifold with sectional curvature for some We first prove a McKean-type spectral gap estimate, i.e. the fundamental tone of any domain in is universally bounde…