Research articles

Signature of $f\left(R\right)$ gravity via Lema\^itre-Tolman-Bondi inhomogeneous perturbations

January 23, 2023

Physics

General Relativity and Quantum Cosmology

Cosmology and Nongalactic Astrophysics

We analyze inhomogeneous cosmological models in the local Universe, described by the Lema\^itre-Tolman-Bondi (LTB) metric and developed using linear perturbation theory on a homogeneous and isotropic Universe background. Focusing on the dif...

The Identity Problem in the special affine group of $\mathbb{Z}^2$

January 23, 2023

Mathematics

Computer Science

Group Theory

Computational Complexity

Discrete Mathematics

We consider semigroup algorithmic problems in the Special Affine group

\mathsf{SA}(2, \mathbb{Z}) = \mathbb{Z}^2 \rtimes \mathsf{SL}(2, \mathbb{Z})

, which is the group of affine transformations of the lattice

\mathbb{Z}^2

that preserve ...

A Comprehensive Survey on Heart Sound Analysis in the Deep Learning Era

January 23, 2023

| | | | |

Computer Science

Electrical Engineering and Systems Science

Sound

Machine Learning

Audio and Speech Processing

Heart sound auscultation has been applied in clinical usage for early screening of cardiovascular diseases. Due to the high demand for auscultation expertise, automatic auscultation can help with auxiliary diagnosis and reduce the burden of...

Fundamental Limits of Spectral Clustering in Stochastic Block Models

January 23, 2023

Mathematics

Computer Science

Statistics

Statistics Theory

Social and Information Networks

Spectral Theory

Statistics Theory

Spectral clustering has been widely used for community detection in network sciences. While its empirical successes are well-documented, a clear theoretical understanding, particularly for sparse networks where degrees are much smaller than...

Blocking sets, minimal codes and trifferent codes

January 23, 2023

| | |

Mathematics

Computer Science

Combinatorics

Information Theory

We prove new upper bounds on the smallest size of affine blocking sets, that is, sets of points in a finite affine space that intersect every affine subspace of a fixed codimension. We show an equivalence between affine blocking sets with r...

Embedding loose spanning trees in 3-uniform hypergraphs

January 23, 2023

Mathematics

Combinatorics

In 1995, Koml\'os, S\'ark\"ozy and Szemer\'edi showed that every large

n

-vertex graph with minimum degree at least

(1/2 + \gamma)n

contains all spanning trees of bounded degree. We consider a generalization of this result to loose spann...

Rethinking Real-world Image Deraining via An Unpaired Degradation-Conditioned Diffusion Model

January 23, 2023

| | | |

Computer Science

Computer Vision and Pattern Recognition

Recent diffusion models have exhibited great potential in generative modeling tasks. Part of their success can be attributed to the ability of training stable on huge sets of paired synthetic data. However, adapting these models to real-wor...

New vacuum stability limit from cosmological history

January 23, 2023

| | |

Physics

High Energy Physics - Phenomenology

Cosmology and Nongalactic Astrophysics

The stability of the electroweak vacuum imposes important constraints on new physics models. Such new physics models may introduce one or more new thermal phases with a lower free energy than that of the electroweak vacuum. In this case, th...

A performance characterization of quantum generative models

January 23, 2023

| | | | | | | |

Physics

Quantum Physics

Quantum generative modeling is a growing area of interest for industry-relevant applications. With the field still in its infancy, there are many competing techniques. This work is an attempt to systematically compare a broad range of these...

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$

January 23, 2023

Mathematics

Number Theory

Let

\mathcal{C}(\mathfrak{p}^r)

be the rational cuspidal divisor class group of the Drinfeld modular curve

X_0(\mathfrak{p}^r)

for a prime power level

\mathfrak{p}^r\in \mathbb{F}_q[T]

. We relate the rational cuspidal divisors of degr...

Signature of $f\left(R\right)$ gravity via Lema\^itre-Tolman-Bondi inhomogeneous perturbations

January 23, 2023

Physics

General Relativity and Quantum Cosmology

Cosmology and Nongalactic Astrophysics

The Identity Problem in the special affine group of $\mathbb{Z}^2$

January 23, 2023

Mathematics

Computer Science

Group Theory

Computational Complexity

Discrete Mathematics

We consider semigroup algorithmic problems in the Special Affine group

\mathsf{SA}(2, \mathbb{Z}) = \mathbb{Z}^2 \rtimes \mathsf{SL}(2, \mathbb{Z})

, which is the group of affine transformations of the lattice

\mathbb{Z}^2

that preserve ...

A Comprehensive Survey on Heart Sound Analysis in the Deep Learning Era

January 23, 2023

| | | | |

Computer Science

Electrical Engineering and Systems Science

Sound

Machine Learning

Audio and Speech Processing

Fundamental Limits of Spectral Clustering in Stochastic Block Models

January 23, 2023

Mathematics

Computer Science

Statistics

Statistics Theory

Social and Information Networks

Spectral Theory

Statistics Theory

Blocking sets, minimal codes and trifferent codes

January 23, 2023

| | |

Mathematics

Computer Science

Combinatorics

Information Theory

Embedding loose spanning trees in 3-uniform hypergraphs

January 23, 2023

Mathematics

Combinatorics

In 1995, Koml\'os, S\'ark\"ozy and Szemer\'edi showed that every large

n

-vertex graph with minimum degree at least

(1/2 + \gamma)n

contains all spanning trees of bounded degree. We consider a generalization of this result to loose spann...

Rethinking Real-world Image Deraining via An Unpaired Degradation-Conditioned Diffusion Model

January 23, 2023

| | | |

Computer Science

Computer Vision and Pattern Recognition

New vacuum stability limit from cosmological history

January 23, 2023

| | |

Physics

High Energy Physics - Phenomenology

Cosmology and Nongalactic Astrophysics

A performance characterization of quantum generative models

January 23, 2023

| | | | | | | |

Physics

Quantum Physics

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$

January 23, 2023

Mathematics

Number Theory

Let

\mathcal{C}(\mathfrak{p}^r)

be the rational cuspidal divisor class group of the Drinfeld modular curve

X_0(\mathfrak{p}^r)

for a prime power level

\mathfrak{p}^r\in \mathbb{F}_q[T]

. We relate the rational cuspidal divisors of degr...

Signature of f(R)f\left(R\right)f(R) gravity via Lema\^itre-Tolman-Bondi inhomogeneous perturbations

The Identity Problem in the special affine group of Z2\mathbb{Z}^2Z2

A Comprehensive Survey on Heart Sound Analysis in the Deep Learning Era

Fundamental Limits of Spectral Clustering in Stochastic Block Models

Blocking sets, minimal codes and trifferent codes

Embedding loose spanning trees in 3-uniform hypergraphs

Rethinking Real-world Image Deraining via An Unpaired Degradation-Conditioned Diffusion Model

New vacuum stability limit from cosmological history

A performance characterization of quantum generative models

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves X0(pr)X_0(\mathfrak{p}^r)X0​(pr)

Signature of f(R)f\left(R\right)f(R) gravity via Lema\^itre-Tolman-Bondi inhomogeneous perturbations

The Identity Problem in the special affine group of Z2\mathbb{Z}^2Z2

A Comprehensive Survey on Heart Sound Analysis in the Deep Learning Era

Fundamental Limits of Spectral Clustering in Stochastic Block Models

Blocking sets, minimal codes and trifferent codes

Embedding loose spanning trees in 3-uniform hypergraphs

Rethinking Real-world Image Deraining via An Unpaired Degradation-Conditioned Diffusion Model

New vacuum stability limit from cosmological history

A performance characterization of quantum generative models

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves X0(pr)X_0(\mathfrak{p}^r)X0​(pr)

Signature of $f\left(R\right)$ gravity via Lema\^itre-Tolman-Bondi inhomogeneous perturbations

The Identity Problem in the special affine group of $\mathbb{Z}^2$

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$

Signature of $f\left(R\right)$ gravity via Lema\^itre-Tolman-Bondi inhomogeneous perturbations

The Identity Problem in the special affine group of $\mathbb{Z}^2$

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$