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Mathematics Preprint PDF DOI

The Bernstein-von Mises theorem for Bayesian one-pass online learning

Jeyong Lee, Junhyeok Choi, Dongguen Kim, Minwoo Chae · 2026

Bayesian online learning provides a coherent framework for sequential inference. However, its theoretical understanding remains limited, particularly in the one-pass setting. Existing theoretical guar…

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AI & Data Science Preprint PDF DOI

Softmax-GS: Generalized Gaussians Learning When to Blend or Bound

Chen Ziwen, Peng Wang, Hao Tan, Zexiang Xu, Li Fuxin · 2026

3D Gaussian Splatting (3D GS) is widely adopted for novel view synthesis due to its high training and rendering efficiency. However, its efficiency relies on the key assumption that Gaussians do not o…

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AI & Data Science Preprint PDF DOI

Why Mean Pooling Works: Quantifying Second-Order Collapse in Text Embeddings

Tomomasa Hara, Hiroto Kurita, Masaaki Imaizumi, Kentaro Inui, Sho Yokoi · 2026

For constructing text embeddings, mean pooling, which averages token embeddings, is the standard approach. This paper examines whether mean pooling actually works well in real models. First, we note t…

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Physics Preprint PDF DOI

Nonadiabatic Renormalization Group for Strongly Coupled Multiscale Quantum Systems

Bing Gu · 2026

Complex quantum systems are often multiscale in nature with strong interactions between different scales. We present a novel idea: iteratively suppressing, rather than tracing out, the fast, high-ener…

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Mathematics Preprint PDF DOI

Mean-Field Systems with Heterogeneous Subteams: Optimality of Cluster-Symmetric Independent Policies and Equivalence with Decentralized McKean-Vlasov Control of Cluster-Representative Agents

Connor S. Braun, Sina Sanjari, Naci Saldi, Gunnar Blohm, Serdar Yuksel · 2026

Across science and engineering, mean-field methods have been a powerful and versatile approach for the analysis of systems of many interacting elements. However, common arguments used to characterize …

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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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Physics Preprint PDF DOI

Constructing Bulk Topological Orders via Layered Gauging

Shang Liu · 2026

Understanding quantum phases and phase transitions in the presence of symmetries is a central objective of quantum many-body physics. A powerful modern paradigm for investigating this problem is topol…

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Computer Science Preprint PDF DOI

A note on the parameter $\ell$ in Buchbinder--Feldman's deterministic submodular matroid algorithm

Shisheng Li · 2026

Buchbinder and Feldman recently gave a deterministic $(1-1/e-\varepsilon)$-approximation for maximizing a non-negative monotone submodular function subject to a matroid constraint, with query complexi…

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AI & Data Science Preprint PDF DOI

Safe Bilevel Delegation (SBD): A Formal Framework for Runtime Delegation Safety in Multi-Agent Systems

Yuan Sun · 2026

As large language model (LLM) agents are deployed in high-stakes environments, the question of how safely to delegate subtasks to specialized sub-agents becomes critical. Existing work addresses multi…

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AI & Data Science Preprint PDF DOI

TypeBandit: Type-Level Context Allocation and Reweighting for Effective Attribute Completion in Heterogeneous Graph Neural Networks

Ta-Yang Wang, Rajgopal Kannan, Viktor Prasanna · 2026

Heterogeneous graphs are widely used to model multi-relational systems, but missing node attributes remain a major bottleneck for downstream learning. In this paper, we identify and formalize type-dep…

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Mathematics Preprint PDF DOI

Over-Approximating Minimizer Sets of Constrained Convex Programs with Parametric Uncertainty via Reachability Analysis

Brendan Gould, Chih-Yuan Chiu, Antoine P. Leeman, Kyriakos G. Vamvoudakis, Samuel Coogan, Glen Chou · 2026

We study the set of solutions to a parameterized, strongly convex optimization problem whose cost depends on uncertain, bounded parameters. We compute a certified outer approximation of the correspond…

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AI & Data Science Preprint PDF DOI

CoAX: Cognitive-Oriented Attribution eXplanation User Model of Human Understanding of AI Explanations

Louth Bin Rawshan, Zhuoyu Wang, Brian Y. Lim · 2026

Explainable AI (XAI) aims to improve user understanding and decisions when using AI models. However, despite innovations in XAI, recent user evaluations reveal that this goal remains elusive. Understa…

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Computer Science Preprint PDF DOI

Strongly Refuting Random CSP without Literals

Siu On Chan, Tommaso d'Orsi, Jeff Xu · 2026

Under what condition is a random constraint satisfaction problem hard to refute by the sum-of-squares (SoS) algorithm? A sufficient condition is t-wise uniformity, that is, each constraint has a t-wis…

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AI & Data Science Preprint PDF DOI

Iterative Definition Refinement for Zero-Shot Classification via LLM-Based Semantic Prototype Optimization

Naeem Rehmat, Muhammad Saad Saeed, Ijaz Ul Haq, Khalid Malik · 2026

Web filtering systems rely on accurate web content classification to block cyber threats, prevent data exfiltration, and ensure compliance. However, classification is increasingly difficult due to the…

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AI & Data Science Preprint PDF DOI

A Short Note on Batch-efficient Divide-and-Conquer Algorithm for EigenDecomposition

Yue Song · 2026

EigenDecomposition (ED) is at the heart of many computer vision algorithms and applications. One crucial bottleneck limiting its usage is the expensive computation cost, particularly for a mini-batch …

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Physics Preprint PDF DOI

Q3SAT-GPT: A Generative Model for Discovering Quantum Circuits for the 3-SAT Problem

Pratim Ugale, Ilya Tyagin, Karunya Shirali, Kien X. Nguyen, Ilya Safro · 2026

This work introduces Q3SAT-GPT, a generative model for discovering quantum circuits for the Max-E3-SAT problem. Our method learns from high-performing QAOA-style ans\"atze to directly generate candida…

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AI & Data Science Preprint PDF DOI

YOSE: You Only Select Essential Tokens for Efficient DiT-based Video Object Removal

Chenyang Wu, Lina Lei, Fan Li, Chun-Le Guo, Dehong Kong, Xinran Qin, Zhixin Wang, Ming-Ming Cheng, Chongyi Li · 2026

Recent advances in Diffusion Transformer (DiT)-based video generation technologies have shown impressive results for video object removal. However, these methods still suffer from substantial inferenc…

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Computer Science Preprint PDF DOI

Cross-lingual Comparison of Research Funding Projects with Multilingual Sentence-BERT: Evidence from KAKENHI, NIH, NSF, and UKRI

Miki Kimura-Ida · 2026

Cross-national comparison of research funding projects is increasingly important for science policy and strategic planning, but language differences remain a major obstacle. In particular, KAKENHI pro…

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AI & Data Science Preprint PDF DOI

PINN-Cast: Exploring the Role of Continuous-Depth NODE in Transformers and Physics Informed Loss as Soft Physical Constraints in Short-term Weather Forecasting

Hira Saleem, Flora Salim, Cormac Purcell · 2026

Operational weather prediction has long relied on physics-based numerical weather prediction (NWP), whose accuracy comes at the cost of substantial compute and complex simulation workflows. Recent tra…

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