Zobrazeno 1 - 10
of 517
pro vyhledávání: '"Mandell, Michael A"'
We introduce algorithms for robustly computing intrinsic coordinates on point clouds. Our approach relies on generating many candidate coordinates by subsampling the data and varying hyperparameters of the embedding algorithm (e.g., manifold learning
Externí odkaz:
http://arxiv.org/abs/2408.01379
We describe a structure on a commutative ring (pre)cyclotomic spectrum $R$ that gives rise to a (pre)cyclotomic structure on topological Hochschild homology ($THH$) relative to its underlying commutative ring spectrum. This lets us construct $TC$ rel
Externí odkaz:
http://arxiv.org/abs/2310.02348
We propose a construction of an analogue of the Hill-Hopkins-Ravenel relative norm $N_{H}^{G}$ in the context of a positive dimensional compact Lie group $G$ and closed subgroup $H$. We explore expected properties of the construction. We show that in
Externí odkaz:
http://arxiv.org/abs/2212.11404
Autor:
Oh, Seeun1 (AUTHOR) seoh@salud.unm.edu, Mandell, Michael A.1,2 (AUTHOR) mmandell@salud.unm.edu
Publikováno v:
Viruses (1999-4915). Jul2024, Vol. 16 Issue 7, p1161. 17p.
We show that the map from $K({\mathbb S})$ to its chromatic completion is a connective cover and identify the fiber in $K$-theoretic terms. We combine this with recent work of Land-Mathew-Meier-Tamme to prove a form of "Waldhausen's Chromatic Converg
Externí odkaz:
http://arxiv.org/abs/2110.03733
Autor:
Saha, Bhaskar, Olsvik, Hallvard, Williams, Geneva L., Oh, Seeun, Evjen, Gry, Sjøttem, Eva, Mandell, Michael A.
Publikováno v:
In Cell Reports 25 June 2024 43(6)
The map $TC(\mathbb{S})^{\wedge}_{p}\to \text{holim } TC(L_{n}\mathbb{S})^{\wedge}_{p}$ is a weak equivalence.
Externí odkaz:
http://arxiv.org/abs/2106.00849
Let $p\in \mathbb Z$ be an odd prime. We show that the fiber sequence for the cyclotomic trace of the sphere spectrum $\mathbb S$ admits an "eigensplitting" that generalizes known splittings on $K$-theory and $TC$. We identify the summands in the fib
Externí odkaz:
http://arxiv.org/abs/2012.07951
Comparing and aligning large datasets is a pervasive problem occurring across many different knowledge domains. We introduce and study MREC, a recursive decomposition algorithm for computing matchings between data sets. The basic idea is to partition
Externí odkaz:
http://arxiv.org/abs/2001.01666
Autor:
Mandell, Michael A.
This is an expository article about operads in homotopy theory written as a chapter for an upcoming book. It concentrates on what the author views as the basic topics in the homotopy theory of operadic algebras: the definition of operads, the definit
Externí odkaz:
http://arxiv.org/abs/1912.13047