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arXiv Preprints
Circuit locality from relativistic locality in scalar field mediated entanglement
Locality is a central notion in modern physics, but different disciplines understand it in different ways. Quantum field theory focuses on relativistic locality, based on spacetime regions, while quantum information theory focuses circuit locality, b...
physics:quant-ph
arXiv Preprints
Survey on Integrated Sensing and Communication Performance Modeling and Use Cases Feasibility
As the research community starts to address the* key features of 6G cellular standards, one of the agreed bridge topics to be studied already in 5G advanced releases is Integrated Sensing and Communication (ISAC). The first efforts of the research co...
eess:eess:SP
arXiv Preprints
AI Regulation in the European Union: Examining Non-State Actor Preferences
As the development and use of artificial intelligence (AI) continues to grow, policymakers are increasingly grappling with the question of how to regulate this technology. The most far-reaching international initiative is the European Union (EU) AI A...
econ:econ:GNq-fin:q-fin:EC
arXiv Preprints
Limitations of Noisy Quantum Devices in Computational and Entangling Power
Finding solid and practical quantum advantages via noisy quantum devices without error correction is a critical but challenging problem. Conversely, comprehending the fundamental limitations of the state-of-the-art is equally crucial. In this work, w...
physics:quant-ph
arXiv Preprints
Mapping the Challenges of HCI: An Application and Evaluation of ChatGPT for Mining Insights at Scale
Large language models (LLMs) are increasingly used for analytical tasks, yet their effectiveness in real-world applications remains underexamined, partly due to the opacity of proprietary models. We evaluate ChatGPT (GPT-3.5 and GPT-4) on the practic...
cs:cs:HCcs:cs:AI
arXiv Preprints
Chainmail links and L-spaces
In this note we prove that alternating chainmail links are L-space links. The proof is inspired by corresponding proofs for double branched covers of alternating links. We also more generally show that flat augmented chainmail links are generalized L...
math:math:GT
arXiv Preprints
Near-Optimal Nonconvex-Strongly-Convex Bilevel Optimization with Fully First-Order Oracles
In this work, we consider bilevel optimization when the lower-level problem is strongly convex. Recent works show that with a Hessian-vector product (HVP) oracle, one can provably find an $ε$-stationary point within ${\mathcal{O}}(ε^{-2})$ oracle c...
math:math:OCcs:cs:LG
arXiv Preprints
Evolution of funding for collaborative health research towards higher-level patient-oriented research. A comparison of the European Union Framework Programmes to the program funding by the United States National Institutes of Health
Public research funding agencies increasingly seek to steer health research toward higher levels of translation and societal relevance. Yet it remains unclear to what extent such policy shifts are effectively implemented and reflected in funded proje...
cs:cs:DL
arXiv Preprints
A Tight Competitive Ratio for Online Submodular Welfare Maximization
In this paper we consider the online Submodular Welfare (SW) problem. In this problem we are given $n$ bidders each equipped with a general (not necessarily monotone) submodular utility and $m$ items that arrive online. The goal is to assign each ite...
cs:cs:DS
arXiv Preprints
A Combinatorial Structure for Many Hierarchically Hyperbolic Spaces
The combinatorial hierarchical hyperbolicity criterion is a very useful way of constructing new hierarchically hyperbolic spaces (HHSs). We show that, conversely, HHSs satisfying natural assumptions (satisfied, for example, by mapping class groups) a...
math:math:GRmath:math:GTmath:math:MG
arXiv Preprints
A naive p-adic height on the Jacobians of curves of genus 2
Consider a genus 2 curve defined over $\mathbb{Q}$ given by an affine equation of the form $y^2 = f(x)$ for some polynomial $f$ of degree 5, and let $p$ be an odd prime. Extending work of Perrin-Riou for elliptic curves, we construct a naive $p$-adic...
math:math:NT
arXiv Preprints
A geometric perspective on plus-one generated arrangements of lines
We give a geometric characterisation of plus-one generated projective line arrangements that are next-to-free. We present new succinct proofs, via associated line bundles, for some properties of plus-one generated projective line arrangements.
math:math:AG
arXiv Preprints
On Axial Symmetry in Convex Bodies
For a two-dimensional convex body, the Kovner-Besicovitch measure of symmetry is defined as the volume ratio of the largest centrally symmetric body contained inside the body to the original body. A classical result states that the Kovner-Besicovitch...
math:math:MGcs:cs:CG
arXiv Preprints
Solution landscapes of ferronematics in microfluidic channels
We investigate solution landscapes for ferronematics i.e., a dilute suspension of magnetic nano-particles in a nematic liquid crystal host, in a reduced one-dimensional setting relevant for microfluidic problems. Solution landscapes show how critical...
physics:cond-mat:soft
arXiv Preprints
The Mahler measure of exact polynomials in three variables
We prove that under certain explicit conditions, the Mahler measure of a three-variable polynomial can be expressed in terms of elliptic curve $L$-values and Bloch-Wigner dilogarithmmic values, conditionally on Beilinson's conjecture. In some ca...
math:math:NT
arXiv Preprints
A Weiss-Williams theorem for spaces of embeddings and the homotopy type of spaces of long knots
We establish a pseudoisotopy result for embedding spaces in the line of that of Weiss and Williams for diffeomorphism groups. In other words, for $P\subset M$ a codimension at least three embedding, we describe the difference in a range of homotopica...
math:math:ATmath:math:GTmath:math:KT
arXiv Preprints
Divisible cube complexes and finite-order automorphisms of RAAGs
We give a geometric characterisation of those groups that arise as fixed subgroups of finite-order untwisted automorphisms of right-angled Artin groups (RAAGs). They are precisely the fundamental groups of a class of compact special cube complexes th...
math:math:GRmath:math:GT
arXiv Preprints
Bayesian variable selection in sample selection models using spike-and-slab priors
Sample selection models are a widely used approach for correcting bias caused by data that are missing not at random. Their formulation requires specifying the variables that influence the outcome and those that drive the selection process. This spec...
stat:stat:COstat:stat:ME
arXiv Preprints
Sparse Learning and Class Probability Estimation with Weighted Support Vector Machines
Classification and probability estimation are fundamental tasks with broad applications across modern machine learning and data science, spanning fields such as biology, medicine, engineering, and computer science. Recent development of weighted Supp...
stat:stat:MEcs:cs:LGstat:stat:ML
arXiv Preprints
Is control of type I error rate needed in Bayesian clinical trial designs?
Practical employment of Bayesian trial designs is still rare. Even if accepted in principle, the regulators have commonly required that such designs be calibrated according to an upper bound for the frequentist type I error rate. This represents an i...
stat:stat:ME