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arXiv Preprints
Isolated points on modular curves
We study isolated points on the modular curves $X_{H}$, for $H$ a subgroup of $\operatorname{GL}_{2}(\mathbb{Z}/n \mathbb{Z})$ for some $n \geq 1$. In particular, we prove a single-sink theorem for such isolated points, which traces the existence of ...
math:math:NTmath:math:AG
arXiv Preprints
Continuous Patient Monitoring with AI: Real-Time Analysis of Video in Hospital Care Settings
This study introduces an AI-driven platform for continuous and passive patient monitoring in hospital settings, developed by LookDeep Health. Leveraging advanced computer vision, the platform provides real-time insights into patient behavior and inte...
cs:cs:CVcs:cs:AI
arXiv Preprints
Data Set of Load Tests and Structural Health Monitoring of a concrete boxgirder bridge
Load tests are an essential tool to verify the compliance of bridges with their design specifications and to assess their actual load-bearing capacity. In this paper, a series of static and dynamic load tests conducted on a concrete boxgirder bridge ...
stat:stat:AP
arXiv Preprints
On cutoff via rigidity for high dimensional curved diffusions
We consider overdamped Langevin diffusions in Euclidean space, with curvature equal to the spectral gap. This includes the Ornstein-Uhlenbeck process as well as non-Gaussian and non-product extensions with convex interaction, such as the Dyson proces...
math:math:PRmath:math:DGmath:math:FA
arXiv Preprints
Spin identification of the mono-Z$^{\prime}$ resonance in muon-pair production at the ILC with simulated electron-positron collisions at $\sqrt{s}$ = 500 GeV
In this analysis, we examine the angular distribution of low-mass dimuon pairs produced in simulated electron-positron collisions at the proposed International Linear Collider (ILC), which operates at a center-of-mass energy of 500 GeV and has an int...
physics:hep-ph
arXiv Preprints
A Stochastic Block-coordinate Proximal Newton Method for Nonconvex Composite Minimization
This paper presents a stochastic block-coordinate proximal Newton method for minimizing the sum of a blockwise Lipschitz-continuously differentiable function and a separable nonsmooth convex function. At each iteration, the method randomly selects on...
math:math:OC
arXiv Preprints
Distinction of the Steinberg representation and the dual group of a symmetric space
We study the distinction of the Steinberg representation of a split reductive group $G$ with respect to a split symmetric subgroup $H \subset G$. We relate this distinction problem to a problem about the existence of a non-zero harmonic function on a...
math:math:RT
arXiv Preprints
MSA-CNN: A Lightweight Multi-Scale CNN with Attention for Sleep Stage Classification
Recent advancements in machine learning-based signal analysis, coupled with open data initiatives, have fuelled efforts in automatic sleep stage classification. Despite the proliferation of classification models, few have prioritised reducing model c...
cs:cs:LGeess:eess:SP
arXiv Preprints
JT Gravity in de Sitter Space and Its Extensions
We discuss and extend some aspects pertaining to the canonical quantisation of JT gravity in de Sitter space, including the problem of time and the construction of a Hilbert space. We then extend this discussion to other two dimensional models obtain...
physics:hep-th
arXiv Preprints
Reconsidering Velocity Addition/Subtraction in Special Relativity
We reconsider velocity addition/subtraction in Special Relativity and re-derive its well-known non-commutative and non-associative algebraic properties in a self contained way, including various explicit expressions for the Thomas angle, the derivati...
physics:math-phmath:math:MPphysics:gr-qc
arXiv Preprints
Graph Puzzles I.1: Oriented Berge-Fulkerson Conjecture
The Berge-Fulkerson conjecture states that every bridgeless cubic graph can be covered with six perfect matchings such that each edge is covered exactly twice. An equivalent reformulation is that it's possible to find a 6-cycle 4-cover. In this ...
math:math:CO
arXiv Preprints
Cross-Modal Transferable Image-to-Video Attack on Video Quality Metrics
Recent studies have revealed that modern image and video quality assessment (IQA/VQA) metrics are vulnerable to adversarial attacks. An attacker can manipulate a video through preprocessing to artificially increase its quality score according to a ce...
cs:cs:CVcs:cs:AI
arXiv Preprints
Fully quantum inflation: quantum marginal problem constraints in the service of causal inference
Consider the problem of deciding, for a particular multipartite quantum state, whether or not it is realizable in a quantum network with a particular causal structure. This is a fully quantum version of what causal inference researchers refer to as t...
physics:quant-ph
arXiv Preprints
Probing the Limits of Habitability: A Catalog of Rocky Exoplanets in the Habitable Zone
While most of the 6000 discovered exoplanets are highly unlike the Earth, the first rocky worlds in the Habitable Zone (HZ) provide intriguing targets for the search for life in the cosmos. As detections increase, it is critical to test the empirical...
physics:astro-ph:EPphysics:astro-ph:IMphysics:astro-ph:SR
arXiv Preprints
Bipartite Fluctuations and Charge Fractionalization in Quantum Wires
We introduce a quantum information method for measuring fractional charges in ballistic quantum wires generalizing bipartite fluctuations to the chiral quasiparticles in Luttinger liquids, i.e. analyzing and summing charge and current fluctuations in...
physics:cond-mat:mes-hallphysics:cond-mat:str-elphysics:hep-thphysics:quant-ph
arXiv Preprints
Tailoring Synthetic Gauge Fields in Ultracold Atoms via Spatially Engineered Vector Beams
Ultracold atoms, typically manipulated by scalar beams with uniform polarization, have propelled advances in quantum simulation, computation, and metrology. Yet, vector beams (VBs) -- structured light with spatially varying polarization -- remain une...
physics:cond-mat:quant-gasphysics:physics:atom-phphysics:physics:opticsphysics:quant-ph
arXiv Preprints
Optimal domain of Volterra operators in Korenblum spaces
The aim of this article is to study the largest domain space $[T,X]$, whenever it exists, of a given continuous linear operator $T\colon X\to X$, where $X\subseteq H(\mathbb{D})$ is a Banach space of analytic functions on the open unit disc $\mathbb{...
math:math:FA
arXiv Preprints
Some Properties of The Finitely Additive Vector Integral
We prove some results concerning the finitely additive, vector integral of Bochner and Pettis and their representation over a countably additive probability space. Applications to convergence of vector valued martingales and to the non compact Choque...
math:math:FAmath:math:PR
arXiv Preprints
Automated Microservice Pattern Instance Detection Using Infrastructure-as-Code Artifacts and Large Language Models
Documenting software architecture is essential to preserve architecture knowledge, even though it is frequently costly. Architecture pattern instances, including microservice pattern instances, provide important structural software information. Pract...
cs:cs:SEcs:cs:AI
arXiv Preprints
Cartan motion groups: regularity of K-finite matrix coefficients
If $G$ is a connected semisimple Lie group with finite center and $K$ is a maximal compact subgroup of G, then the Lie algebra of $G$ admits a Cartan decomposition $\mathfrak{g}=\mathfrak{k}\oplus\mathfrak{p}$. This allows us to define the Cartan mot...
math:math:GRmath:math:FAmath:math:RT