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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 · 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 to…

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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 · 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 int…

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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 · 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 hea…

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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 · 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 Bla…

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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 · 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 observ…

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Mathematics Preprint PDF DOI

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Michael Gnewuch, Peter Kritzer, Klaus Ritter · 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 products…

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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 · 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 …

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AI & Data Science Preprint PDF DOI

Laplace Approximation for Bayesian Tensor Network Kernel Machines

Albert Saiapin, Kim Batselier · 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 princip…

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Computer Science Preprint PDF DOI

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

Sina Heidari, Dimitrios S. Nikolopoulos · 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 ha…

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Physics Preprint PDF DOI

Quarter-indices for basic ortho-symplectic corners

Yasuyuki Hatsuda, Tadashi Okazaki · 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 …

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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 · 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' in…

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Mathematics Preprint PDF DOI

Compactness of bilinear singular integral with mild kernel regularity

Jinsong Li · 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 best…

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Mathematics Preprint PDF DOI

Closing in on the kernel of an operator between Banach spaces

Douglas S. Bridges · 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 …

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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 · 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 languag…

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Physics Preprint PDF DOI

QERNEL: a Scalable Large Electron Model

Khachatur Nazaryan, Liang Fu · 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 withi…

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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 · 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 sin…

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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 · 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 'co…

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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 · 2026

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

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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 · 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 nonlin…

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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 · 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 contr…

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