We study the theoretical properties of a variational Bayes method in the Gaussian Process regression model.

Statistics Theory Statistics Theory

TWEETS

Consequently, minimax rates for conditional density estimation cannot be characterized using these classical results.

Statistics Theory Statistics Theory

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The main purpose of this work is to prove the Andr\'e-Oort conjecture in full generality.

Number Theory Algebraic Geometry

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We examine which of the compact connected Lie groups that act transitively on spheres of different dimensions leave the unique spin structure of the sphere invariant.

Differential Geometry 53C27, 53C30, 57S15

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As Mathieu moonshine is a special case of umbral moonshine, Thompson moonshine (in half-integral weight) is a special case of a family of similar relationships between finite groups and vector-valued modular forms of a certain kind.

Representation Theory High Energy Physics - Theory 11F22 (Primary) 11F27, 11F37, 11F50, 20C34 (Secondary)

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We propose a novel approach to distinguish table vs non-table ideals by using different machine learning algorithms.

Commutative Algebra

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We define a family of Khovanov-Lipshitz-Sarkar stable homotopy types for the homotopical Khovanov homology of links in thickened surfaces indexed by moduli space systems.

Geometric Topology 57M25, 57M27

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We prove that among 1 and the odd zeta values $\zeta(3)$, $\zeta(5)$, ..., $\zeta(s)$, at least $ 0. 21 \sqrt{s / \log s}$ are linearly independent over the rationals, for any sufficiently large odd integer $s$.

Number Theory 11J72 (Primary), 11M06 (Secondary)

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In their LAMA'2016 paper Gau, Wang and Wu conjectured that a partial isometry $A$ acting on $\mathbb{C}^n$ cannot have a circular numerical range with a non-zero center, and proved this conjecture for $n\leq 4$.

Functional Analysis 47A12, 47A20, 30J10, 33E05, 51N15

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As educational systems move from onsite to online due to the COVID-19 pandemic, teachers face the difficulty of designing online examination formats which minimise opportunities for dishonesty.

History and Overview 97U40

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