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arXiv:2602.01555v1 Announce Type: new Abstract: This paper presents a novel design framework for protograph-based LDPC codes that simultaneously achieves full diversity in block-fading channels (BFCs)...
arXiv:2602.01557v1 Announce Type: new Abstract: In this note, we show that the conical solution-operator method of Mao-Tao in [Localized initial data for Einstein equations] applies...
arXiv:2602.01562v1 Announce Type: new Abstract: Let G=(V(G),E(G)) be a connected simple graph with n vertices and m edges. A bijection f from the edge set...
arXiv:2602.01569v1 Announce Type: new Abstract: We introduce a novel regularization framework for the two-dimensional incompressible Euler equation that exactly preserves the transport structure of multi-phase...
arXiv:2602.01571v1 Announce Type: new Abstract: Let $f$ be a cuspidal eigenform of weight $k$ on $\SL_2(\BZ)$ and let $\lambda_{\Sym^d f}(n)$ be the normalized Fourier coefficients...
arXiv:2602.01582v1 Announce Type: new Abstract: Recent advances in deep learning have led to AI-based error correction decoders that report empirical performance improvements over traditional belief-propagation...
arXiv:2602.01583v1 Announce Type: new Abstract: A key property of an algebraic variety is whether it is absolutely irreducible, meaning that it remains irreducible over the...
arXiv:2602.01584v1 Announce Type: new Abstract: We compute, at the prime $2$, the entire descent spectral sequence converging to the homotopy groups of the spectra of...
arXiv:2602.01602v1 Announce Type: new Abstract: Recently, the Foundation Error Correction Code Transformer (FECCT) has emerged as a promising universal channel decoder, achieving competitive decoding performance...
arXiv:2602.01607v1 Announce Type: new Abstract: Differentially private synthetic data enables the sharing and analysis of sensitive datasets while providing rigorous privacy guarantees for individual contributors....
arXiv:2602.01627v1 Announce Type: new Abstract: Zeroth-order (ZO) optimization is popular in real-world applications that accessing the gradient information is expensive or unavailable. Recently, adaptive ZO...
arXiv:2602.01628v1 Announce Type: new Abstract: We find explicit expressions of the special values of the Hurwitz-type spectral zeta function $\zeta(\mathrm{H};n,\lambda)$ for the Hamiltonians $\mathrm{H}$ of...
arXiv:2602.01636v1 Announce Type: new Abstract: We present a post-processing certification workflow for nonlinear elliptic boundary value problems that upgrades a standard finite element computation to...
arXiv:2602.01638v1 Announce Type: new Abstract: Spherical codes, with a rich history spanning nearly five centuries, remain an area of active mathematical exploration and are far...
arXiv:2602.01641v1 Announce Type: new Abstract: We study a sequential system of interacting diffusions in which particle $i$ interacts only with its predecessors through the empirical...
arXiv:2602.01650v1 Announce Type: new Abstract: We prove that the zero component $L(m,n)_0$ of a Leavitt algebra $L(m,n)$ with respect to the canonical grading is a...
arXiv:2602.01653v1 Announce Type: new Abstract: Stacked intelligent metasurfaces (SIMs), composed of multiple layers of reconfigurable transmissive metasurfaces, are gaining prominence as a transformative technology for...
arXiv:2602.01656v1 Announce Type: new Abstract: We revisit the inverse problem of reconstructing a spatially varying diffusion coefficient in stationary elliptic equations from boundary Cauchy data....
arXiv:2602.01657v1 Announce Type: new Abstract: In this work, we propose a decoding method of Golay codes from the perspective of Polarization Adjusted Convolutional (PAC) codes....
arXiv:2602.01676v1 Announce Type: new Abstract: Achieving the United Nations Sustainable Development Goals (SDGs) requires an understanding of the complex interlinkages that exist among their underlying...
arXiv:2602.01678v1 Announce Type: new Abstract: In this paper, we refine and complement McCann's results on binary-star systems \cite{McC06}, a compressible fluid model governed by the...
arXiv:2602.01692v1 Announce Type: new Abstract: Let $\mathcal{F}\subset\binom{[n]}{k}$ be an intersecting family. For an element $i\in[n]$, the degree of $i$ is the number of sets in...
arXiv:2602.01706v1 Announce Type: new Abstract: Generalizing both hyperbolic framed surfaces and one-parameter families of hyperbolic framed curves, we introduce the concept of hyperbolic generalized framed...
arXiv:2602.01707v1 Announce Type: new Abstract: Fractal interpolation functions (FIFs) generated using iterated function systems (IFS) provide a powerful framework for modeling self-similar and irregular data,...