Contraction rates for sparse variational approximations in Gaussian process regression

no code yet • 22 Sep 2021

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

Statistics Theory Statistics Theory

TWEETS

Minimax Rates for Conditional Density Estimation via Empirical Entropy

no code yet • 21 Sep 2021

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

Statistics Theory Statistics Theory

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Canonical Heights on Shimura Varieties and the André-Oort Conjecture

no code yet • 18 Sep 2021

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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G-invariant Spin Structures on Spheres

no code yet • 20 Sep 2021

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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An Overview of Penumbral Moonshine

no code yet • 20 Sep 2021

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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A machine learning approach to commutative algebra: Distinguishing table vs non-table ideals

no code yet • 23 Sep 2021

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

Commutative Algebra

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Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces and those in $S^3$ with new modulis

no code yet • 19 Sep 2021

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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Linear independence of odd zeta values using Siegel's lemma

no code yet • 21 Sep 2021

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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On partial isometries with circular numerical range

no code yet • 17 Sep 2021

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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A plagiarism-proof online examination format for calculus and elementary linear algebra using Microsoft Excel

no code yet • 20 Sep 2021

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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