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Mathematics Preprint PDF DOI

Sufficient conditions for spanning $k$-trees in tough graphs

Caili Jia, Yong Lu · 2026

The toughness of a graph $G$, denoted by $\tau(G)$, is defined by $\tau(G)=$min $\{\frac{|S|}{c(G-S)}:S\subseteq V(G)$ and $c(G-S)\geq2\}$. A graph $G$ is said to be $\tau$-tough if $\tau(G)\geq \tau$…

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AI & Data Science Preprint PDF DOI

Noise2Map: End-to-End Diffusion Model for Semantic Segmentation and Change Detection

Ali Shibli, Andrea Nascetti, Yifang Ban · 2026

Semantic segmentation and change detection are two fundamental challenges in remote sensing, requiring models to capture either spatial semantics or temporal differences from satellite imagery. Existi…

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Physics Preprint PDF DOI

A perturbative Liouville prescription for the celestial three-gluon amplitude

Grzegorz Biskowski, Franco Ferrari, Marcin R. Piatek, Artur R. Pietrykowski · 2026

We study the celestial three-gluon amplitude in a dilaton background through the Mellin-Liouville formulation proposed by Stieberger, Taylor and Zhu (STZ). The original map contains an ambiguity in th…

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Physics Preprint PDF DOI

Numerical inverse scattering transform for the coupled modified Korteweg-de Vries equation

Wen-Xin Zhang, Yong Chen · 2026

This paper develops the numerical inverse scattering transform (NIST) framework for the coupled modified Korteweg-de Vries (mKdV) equation based on its associated Riemann-Hilbert problem. The coupled …

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Mathematics Preprint PDF DOI

Continuous-time q-learning for mean-field control with common noise, part-I: Theoretical foundations

Zhenjie Ren, Xiaoli Wei, Xiang Yu, Xun Yu Zhou · 2026

This paper investigates the continuous-time counterpart of the Q-function for entropy-regularized mean-field control (MFC) with controlled common noise, coined as q-function by Jia and Zhou (2023) in …

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AI & Data Science Preprint PDF DOI

Hyperspectral Image Classification via Efficient Global Spectral Supertoken Clustering

Peifu Liu, Tingfa Xu, Jie Wang, Huan Chen, Huiyan Bai, Jianan Li · 2026

Hyperspectral image classification demands spatially coherent predictions and precise boundary delineation. Yet prevailing superpixel-based methods face an inherent contradiction: clustering aggregate…

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Mathematics Preprint PDF DOI

Weakly, sufficiently or strongly localized operators on the Fock space in \mathh C^n

David Bekolle, Solange B. Difo, Hugues O. Defo, Edgar L. Tchoundja · 2026

We study properties of the following four classes of operators on the Fock space in $\mathbb C^n:$ 1) weakly localized operators; 2) sufficiently localized operators in the sense of Xia and Zheng; 3) …

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Mathematics Preprint PDF DOI

Intermediate curvature and splitting theorem

Jingche Chen, Han Hong · 2026

In this paper, we prove several rigidity results for complete noncompact manifolds with nonnegative intermediate curvatures. We show that when either $3\leq n\leq 5$, $1\leq m\leq n-1$, or $6\leq n\le…

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Mathematics Preprint PDF DOI

On a conjecture of distance spectral extremal problems

Hongzhang Chen, Jianxi Li, Yongtao Li · 2026

Brualdi and Hoffman proposed a well-known problem of determining the graph with maximum adjacency spectral radius among all graphs with given size $m$. Early work by Friedland and Stanley addressed so…

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Mathematics Preprint PDF DOI

A note on four dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Chen Wang, Guoqiang Wu · 2026

Let $(M^4, g, f)$ be a four-dimensional complete noncompact gradient shrinking Ricci soliton with the equation $Ric+\nabla^2f= \frac{1}{2}g$. If its scalar curvature is $1$, Cheng-Zhou \cite{Cheng-Zho…

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Physics Preprint PDF DOI

Blueberry and Green Pea galaxies live in low density environments

Maitrayee Gupta, Jiri Svoboda, Konstantinos Kouroumpatzakis, Nicolas Peschken, Peter G. Boorman, Abhijeet Borkar · 2026

Little is currently known about the large-scale environments of Green Pea (GP) and Blueberry (BB) galaxies, which are low-mass, compact systems with extreme specific star-formation rates (sSFR). Their…

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Physics Preprint PDF DOI

Fast radio burst dispersion is an unbiased tracer of matter on large scales

Shion Andrew, Haochen Wang, Kiyoshi Masui, Josh Borrow, Calvin Leung, Ryan Raikman, Matthieu Schaller, Joop Schaye, James M. Sullivan · 2026

The dispersion of fast radio bursts (FRBs) measures the column density of free electrons, tracing the diffuse ionized gas that contains more than $90\%$ of all baryons. On linear scales the FRB disper…

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AI & Data Science Preprint PDF DOI

MAIC-UI: Making Interactive Courseware with Generative UI

Shangqing Tu, Yanjia Li, Keyu Chen, Sichen Zhang, Jifan Yu, Daniel Zhang-Li, Lei Hou, Juanzi Li, Yu Zhang, Huiqin Liu · 2026

Creating interactive STEM courseware traditionally requires HTML/CSS/JavaScript expertise, leaving barriers for educators. While generative AI can produce HTML codes, existing tools generate static pr…

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Physics Preprint PDF DOI

Long-time asymptotics of the Newell equation on the line

Deng-Shan Wang, Yingmin Yang · 2026

In 1978, A. C. Newell [SIAM J. Appl. Math. 35(4) (1978) 650-664] proposed an exactly solvable model called Newell equation, which simulates the investigation of significant interaction mechanism betwe…

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Physics Preprint PDF DOI

Naturally Resonant Emitters: Approaching Fundamental Antenna Limits

Damir Latypov · 2026

Antenna miniaturization remains a critical technological challenge across frequency scales - from microwave RF links in phones and wearables to VLF for underwater-to-air communications and ionospheric…

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Mathematics Preprint PDF DOI

Positive mass theorem for initial data sets with arbitrary ends

Tin-Yau Tsang · 2026

We showed a positive energy theorem for asymptotically flat initial data sets with the concept of spectral PSC by He-Shi-Yu, Bi-Hao-He-Shi-Zhu and Brendle-Wang. Then, we proved a quantitative shieldin…

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Computer Science Preprint PDF DOI

PSP: An Interpretable Per-Dimension Accent Benchmark for Indic Text-to-Speech

Venkata Pushpak Teja Menta · 2026

Standard text-to-speech (TTS) evaluation measures intelligibility (WER, CER) and overall naturalness (MOS, UTMOS) but does not quantify accent. A synthesiser may score well on all four yet sound non-n…

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Computer Science Preprint PDF DOI

Praxy Voice: Voice-Prompt Recovery + BUPS for Commercial-Class Indic TTS from a Frozen Non-Indic Base at Zero Commercial-Training-Data Cost

Venkata Pushpak Teja Menta · 2026

Commercial TTS systems produce near-native Indic audio, but the best open-source bases (Chatterbox, Indic Parler-TTS, IndicF5) trail them on measured phonological dimensions, and the most widely adopt…

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AI & Data Science Preprint PDF DOI

SARU: A Shadow-Aware and Removal Unified Framework for Remote Sensing Images with New Benchmarks

Zi-Yang Bo, Wei Lu, Hongruixuan Chen, Si-Bao Chen, Bin Luo · 2026

Shadows are a prevalent problem in remote sensing imagery (RSI), degrading visual quality and severely limiting the performance of downstream tasks like object detection and semantic segmentation. Mos…

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Computer Science Preprint PDF DOI

Hu\'i S\`u: Co-constructing a Dual Feedback Apparatus

Yichen Wang, Charles Patrick Martin · 2026

This performance presents a duet between two intelligent musical instruments, S\`u (to trace back; to go upstream) and Agentier (playing on agentic clavier), and their human performers, connected thro…

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