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arXiv Preprints
Systematic errors in searches for nanohertz gravitational waves
A number of pulsar timing arrays have recently reported preliminary evidence for the existence of a nanohertz frequency gravitational-wave background. These analyses rely on detailed noise analyses, which are inherently complex due to the many astrop...
physics:astro-ph:HE
arXiv Preprints
Arena: Efficiently Training Large Models via Dynamic Scheduling and Adaptive Parallelism Co-Design
Efficiently training large-scale models (LMs) in GPU clusters involves two separate avenues: inter-job dynamic scheduling and intra-job adaptive parallelism (AP). However, existing dynamic schedulers struggle with large-model scheduling due to the mi...
cs:cs:DCcs:cs:LG
arXiv Preprints
New and old Saito-Kurokawa lifts classically via $L^2$ norms and bounds on their supnorms: level aspect
In the first half of the paper, we lay down a classical approach to the study of Saito-Kurokawa (SK) lifts of (Hecke congruence) square-free level, including the allied new-oldform theory. Our treatment of this relies on a novel idea of computing ran...
math:math:NT
arXiv Preprints
Mekler's Construction and Murphy's Law for 2-Nilpotent Groups
Mekler's construction is a powerful technique for building purely algebraic structures from combinatorial ones. Its power lies in the fact that it allows various model-theoretic tameness properties of the combinatorial structure to transfer to t...
math:math:LOmath:math:COmath:math:GR
arXiv Preprints
Quantifying Noise of Dynamic Vision Sensor
Dynamic visual sensors (DVS) are characterized by a large amount of background activity (BA) noise, which it is mixed with the original (cleaned) sensor signal. The dynamic nature of the signal and the absence in practical application of the ground t...
cs:cs:CV
arXiv Preprints
Raman resonances mediated by excitonic polarons in BiVO$_4$
Excitonic polarons are quasiparticles formed by a Coulomb-bound electron-hole pair with strong coupling to lattice vibrations. Despite high fundamental interest in excitonic polarons, the experimental investigation of these particles remains challeng...
physics:cond-mat:mtrl-sci
arXiv Preprints
All meromorphic solutions of Fermat-type functional equations
In this paper, by making use of properties of elliptic functions, we describe meromorphic solutions of Fermat-type functional equations $f(z)^{n}+f(L(z))^{m}=1$ over the complex plane $\mathbb{C}$, where $L(z)$ is a nonconstant entire function, $m$ a...
math:math:CV
arXiv Preprints
Bifurcations for Lagrangian systems and geodesics II
This is the second part of a two--part series investigating bifurcation phenomena in autonomous Lagrangian systems and geodesic flows on Finsler and Riemannian manifolds. Building upon the abstract bifurcation theorems established in earlier work and...
math:math:DSmath:math:CAmath:math:DGmath:math:FA
arXiv Preprints
RIS-aided Wireless Communication with Movable Elements Geometry Impact on Performance
Reconfigurable Intelligent Surfaces (RIS) are known as a promising technology to improve the performance of wireless communication networks, and have been extensively studied. Movable Antennas (MA) are a novel technology that fully exploits the anten...
eess:eess:SYcs:cs:SY
arXiv Preprints
On the Decidability of Monadic Theories of Arithmetic Predicates
We investigate the decidability of the monadic second-order (MSO) theory of the structure $\langle \mathbb{N};<,P_1, \ldots,P_d \rangle$, for various unary predicates $P_1,\ldots,P_d \subseteq \mathbb{N}$. We focus in particular on 'arithmeti...
cs:cs:LO
arXiv Preprints
Finite-size catalysis in quantum resource theories
Quantum catalysis, the ability to enable previously impossible transformations by using auxiliary systems without degrading them, has emerged as a powerful tool in various resource theories. Although catalytically enabled state transformations have b...
physics:quant-phphysics:physics:atom-ph
arXiv Preprints
Cables of the figure-eight knot via real Frøyshov invariants
We prove that the $(2n,1)$-cable of the figure-eight knot is not smoothly slice when $n$ is odd, by using the real Seiberg-Witten Frøyshov invariant of Konno-Miyazawa-Taniguchi. For the computation, we develop an $O(2)$-equivariant version of the la...
math:math:GT
arXiv Preprints
A consolidated and accessible security proof for finite-size decoy-state quantum key distribution
In recent years, quantum key distribution (QKD) has evolved from a scientific research field to a commercially available security solution, supported by mathematically formulated security proofs. However, since the knowledge required for a full under...
physics:quant-ph
arXiv Preprints
Reliable OOD Virtual Screening with Extrapolatory Pseudo-Label Matching
Machine learning (ML) models are increasingly deployed for virtual screening in drug discovery, where the goal is to identify novel, chemically diverse scaffolds while minimizing experimental costs. This creates a fundamental challenge: the most valu...
cs:cs:LGcs:cs:AI
arXiv Preprints
Spectral sequences via linear presheaves
We study homotopy theory of the category of spectral sequences with respect to the class of weak equivalences given by maps which are quasi-isomorphisms on a fixed page. We introduce the category of extended spectral sequences and show that this is b...
math:math:ATmath:math:CT
arXiv Preprints
Galois groups of reciprocal polynomials and the van der Waerden-Bhargava theorem
We study the Galois groups $G_f$ of degree $2n$ reciprocal (a.k.a. palindromic) polynomials $f$ of height at most $H$, finding that $G_f$ falls short of the maximal possible group $S_2 \wr S_n$ for a proportion of all $f$ bounded above and below by c...
math:math:NT
arXiv Preprints
Unconditional Stability Analysis of N-Port Networks Based on Structured Singular Value Computation
In this paper, a novel approach based on robust stability concepts and tools is introduced to evaluate the unconditional stability of microwave active $\textit{n}$-port devices. An efficient calculation of the Structured Singular Value of the $\texti...
eess:eess:SYcs:cs:SY
arXiv Preprints
Nonequilibrium dynamics and thermodynamics provide the underlying physical mechanism of the perceptual rivalry
Perceptual rivalry, where conflicting sensory information leads to alternating perceptions crucial for associated cognitive function, has attracted researcher's attention for long. Despite progresses being made, recent studies have revealed limi...
q-bio:q-bio:NCphysics:physics:bio-ph
arXiv Preprints
The $S_3$-symmetric tridiagonal algebra
The tridiagonal algebra is defined by two generators and two relations, called the tridiagonal relations. Special cases of the tridiagonal algebra include the $q$-Onsager algebra, the positive part of the $q$-deformed enveloping algebra $U_q({\wideha...
math:math:COmath:math:QA
arXiv Preprints
Clusterpath Gaussian Graphical Modeling
Graphical models serve as effective tools for visualizing conditional dependencies between variables. However, as the number of variables grows, interpretation becomes increasingly difficult, and estimation uncertainty increases due to the large numb...
stat:stat:MLcs:cs:LG