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AI & Data Science Preprint PDF DOI

Kernel-based independence and mean independence tests for weakly dependent data

Daniel Diz-Castro, Manuel Febrero-Bande, Wenceslao Gonzalez-Manteiga ยท 2026

We provide a unified framework for independence and mean independence tests based on the Hilbert-Schmidt independence criterion, extending some previous results in the literature to hold in general toโ€ฆ

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Computer Science Preprint PDF DOI

SST-Guard: Detecting and Characterizing Server-Side Google Analytics in the Wild

Muhammad Jazlan, Alexander Gamero-Garrido, Zubair Shafiq, Yash Vekaria ยท 2026

As web browsers increasingly restrict client-side tracking, the web tracking ecosystem is shifting from client-side to server-side tracking (SST). In SST, the browser sends tracking requests to an intโ€ฆ

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AI & Data Science Preprint PDF DOI

Bayesian X-Learner: Calibrated Posterior Inference for Heterogeneous Treatment Effects under Heavy-Tailed Outcomes

Eichi Uehara ยท 2026

Conditional Average Treatment Effect (CATE) estimation in practice demands three properties simultaneously: heterogeneous effects $\tau(x)$, calibrated uncertainty over them, and robustness to the heaโ€ฆ

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Economics & Finance Preprint PDF DOI

Fast-Vollib: A Fast Implied Volatility Library for Pythonwith PyTorch, JAX, and CUDA Fused-Kernel Backends

Raeid Saqur ยท 2026

We present fast-vollib, an open-source Python library that provides high-performance European option pricing, implied volatility (IV) computation, and Greeks under the Black-76, Black-Scholes, and Blaโ€ฆ

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Physics Preprint PDF DOI

The major cluster merger in Abell 2034 as seen by XRISM: Strong turbulence and spectral anomalies?

Annie Heinrich, Irina Zhuravleva, Eugene Churazov, Congyao Zhang, Daniele Rogantini, Hannah McCall, Reinout J. van Weeren, William R. Forman ยท 2026

XRISM observations to date have shown that gas kinetic pressures in the intracluster medium (ICM) tend towards the low end of predictions from cosmological simulations. Here, we present a XRISM observโ€ฆ

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Mathematics Preprint PDF DOI

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Michael Gnewuch, Peter Kritzer, Klaus Ritter ยท 2026

We study embeddings between reproducing kernel Hilbert spaces $H(K)$ of functions of $d \in \mathbb{N} \cup \{\infty\}$ variables. The kernels $K$ are superpositions of weighted finite tensor productsโ€ฆ

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Physics Preprint PDF DOI

A Rare Eddington-Limited, Heavily Obscured Low-Mass Active Galactic Nucleus Likely Triggered by a Galaxy Merger

Shouyi Wang, Fan Zou, Chang-Hao Chen, W. N. Brandt, Elena Gallo, Bin Luo, Xue-Bing Wu, Yuming Fu, Dieu D. Nguyen, Shengxiu Sun ยท 2026

We report a detailed analysis of GAMA 376183, a powerful, heavily obscured active galactic nucleus (AGN) hosted by a low-mass galaxy ($M_\star \approx 10^{10}~M_{\odot}$) likely experiencing a galaxy โ€ฆ

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AI & Data Science Preprint PDF DOI

Laplace Approximation for Bayesian Tensor Network Kernel Machines

Albert Saiapin, Kim Batselier ยท 2026

Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principโ€ฆ

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Computer Science Preprint PDF DOI

FACT: Compositional Kernel Synthesis with a Three-Stage Agentic Workflow

Sina Heidari, Dimitrios S. Nikolopoulos ยท 2026

Deep learning compilers and vendor libraries deliver strong baseline performance but are bounded by finite, engineer-curated catalogs. When these omit needed optimizations, practitioners substitute haโ€ฆ

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Physics Preprint PDF DOI

Quarter-indices for basic ortho-symplectic corners

Yasuyuki Hatsuda, Tadashi Okazaki ยท 2026

We study supersymmetric quarter-indices for corner configurations in 4d $\mathcal{N}=4$ super Yang-Mills theory with orthogonal and symplectic gauge groups. For the basic Y-junctions, we obtain exact โ€ฆ

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Computer Science Preprint PDF DOI

Multi-Server Secure Aggregation with Arbitrary Collusion and Heterogeneous Security Constraints

Zhou Li, Xiang Zhang, Jiguang He, Giuseppe Caire ยท 2026

We study the fundamental limits of multi-server secure aggregation over a two-hop network where multiple servers, each connected to a disjoint subset of users, jointly compute the sum of all users' inโ€ฆ

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Mathematics Preprint PDF DOI

Compactness of bilinear singular integral with mild kernel regularity

Jinsong Li ยท 2026

This paper extends the characterization of compactness established in \cite{cao2024} to bilinear singular integral operators with mild kernel regularity. The exponent we obtain coincides with the bestโ€ฆ

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Mathematics Preprint PDF DOI

Closing in on the kernel of an operator between Banach spaces

Douglas S. Bridges ยท 2026

This note deals with the question: If T is a linear mapping between Banach spaces X and Y, and x belongs to X and has small norm, is x close to the kernel of T? It draws on notions of Z-stability and โ€ฆ

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Computer Science Preprint PDF DOI

RAG-Enhanced Kernel-Based Heuristic Synthesis (RKHS): A Structured Methodology Using Large Language Models for Hardware Design

Shiva Ahir, Alex Doboli ยท 2026

Heuristic design upholds modern electronic design automation (EDA) tools, yet crafting effective placement, routing, and scheduling strategies entails substantial expertise. We study how large languagโ€ฆ

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Physics Preprint PDF DOI

QERNEL: a Scalable Large Electron Model

Khachatur Nazaryan, Liang Fu ยท 2026

We introduce QERNEL, a foundational neural wavefunction that variationally solves families of parameterized many-electron Hamiltonians and captures their ground states throughout parameter space withiโ€ฆ

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Physics Preprint PDF DOI

Towards A Universal Analytical Model of Population III Star Formation: A Bridge Between Cosmological Scales and Protostars

James Gurian, Boyuan Liu, Donghui Jeong, Takashi Hosokawa, Shingo Hirano, Volker Bromm, Naoki Yoshida ยท 2026

We construct an analytical model of Population III star formation that connects the cosmological radiation background to sub-AU protostellar disk fragmentation, a dynamic range inaccessible to any sinโ€ฆ

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Computer Science Preprint PDF DOI

K-CARE: Knowledge-driven Symmetrical Contextual Anchoring and Analogical Prototype Reasoning for E-commerce Relevance

Chen Yifei, Tian Zhixing, Wang Chenyang, Cheng Ziguang ยท 2026

This paper targets e-commerce search relevance. While Large Language Models (LLMs) have demonstrated significant potential in this field, they often encounter performance bottlenecks in persistent 'coโ€ฆ

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AI & Data Science Preprint PDF DOI

The Nonverbal Syntax Framework: An Evidence-Based Tiered System for Inferring Learner States from Observable Behavioral Cues

Sherzod Turaev, Mary John, Jaloliddin Rustamov, Zahiriddin Rustamov, Saja Aldabet, Nazar Zaki, Khaled Shuaib ยท 2026

Understanding learners' cognitive and affective states underpins adaptive educational systems and effective teaching. Although research links nonverbal cues to internal states, no framework calibratesโ€ฆ

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Mathematics Preprint PDF DOI

Dictionary learning for Kernel EDMD

Erik Lien Bolager, Boumediene Hamzi, Houman Owhadi, Ioannis G. Kevrekidis, Felix Dietrich ยท 2026

Studying nonlinear dynamical systems through their state space behavior can be challenging, and one possible alternative is to analyze them via their associated Koopman operator. This turns the nonlinโ€ฆ

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Computer Science Preprint PDF DOI

CUDA Kernel Optimization and Counter-Free Performance Analysis for Depthwise Convolution in Cloud Environments

Huriyeh Babak, Melanie Schaller ยท 2026

Efficient GPU execution of convolution operators is governed by memory-access efficiency, on-chip data reuse, and execution mapping rather than arithmetic throughput alone. This paper presents a contrโ€ฆ

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