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Mathematics Preprint PDF DOI

A colimit decomposition for the loop homology of polyhedral products

Lewis Stanton, Fedor Vylegzhanin · 2026

We show that the loop homology algebras of polyhedral products of the form $(\underline{X},\underline{*})^{\mathcal{K}}$ can be written as a colimit over the flagification of $\mathcal{K}$, and obtain…

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Mathematics Preprint PDF DOI

Sharp pathwise nonuniqueness for additive SDEs

Elias Hess-Childs, Keefer Rowan · 2026

We construct a family of velocity fields demonstrating the sharpness of the classical Zvonkin--Veretennikov--Davie strong well-posedness by noise regime. We consider stochastic differential equations …

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Medicine & Health Preprint PDF DOI

Benchmarking Open-Source FDK Against Commercial and Iterative Reconstruction Methods for Preclinical Micro-CBCT

Falk L Wiegmann, Nancy L Ford · 2026

Preclinical micro-CT reconstruction involves large projection sizes and volumes that make iterative methods costly - 5x to 50x slower than analytic alternatives on modern GPUs. Whether this cost is ju…

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Physics Preprint PDF DOI

Meshless $h$-adaptive Solution for non-Newtonian Natural Convection in a Differentially Heated Cavity

Miha Rot, Gregor Kosec · 2026

One of the main challenges in numerically solving partial differential equations is finding a discretisation for the computational domain that balances the accurate representation of the underlying fi…

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AI & Data Science Preprint PDF DOI

Spectral Embeddings Leak Graph Topology: Theory, Benchmark, and Adaptive Reconstruction

Thinh Nguyen-Cong, Truong-Son Hy, Thang N. Dinh · 2026

Graph Neural Networks (GNNs) excel on relational data, but standard benchmarks unrealistically assume the graph is centrally available. In practice, settings such as Federated Graph Learning, distribu…

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AI & Data Science Preprint PDF DOI

Maximum Entropy Semi-Supervised Inverse Reinforcement Learning

Julien Audiffren, Michal Valko, Alessandro Lazaric, Mohammad Ghavamzadeh · 2026

A popular approach to apprenticeship learning (AL) is to formulate it as an inverse reinforcement learning (IRL) problem. The MaxEnt-IRL algorithm successfully integrates the maximum entropy principle…

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AI & Data Science Preprint PDF DOI

Investigating Targeting Strategies and Truncation in TMLE for the Average Treatment Effect under Practical Positivity Violations

Yichen Xu, Susan Gruber, Mark J. van der Laan · 2026

Estimating average treatment effects from observational data is challenging under practical violations of the positivity assumption. Targeted Maximum Likelihood Estimators (TMLEs) are widely used beca…

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Computer Science Preprint PDF DOI

Analysis of AWW (Anganwadi Workers) Training Content, ILA (Incremental Learning Approach) Modules Following CDT (Component Display Theory)

Arka Majhi, Satish B. Agnihotri · 2026

POSHAN Abhiyan envisages capacity building of AWWs or frontline health workers through 21 training modules of ILA (Incremental Learning Approach), modularising the net learning content into smaller le…

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Mathematics Preprint PDF DOI

The Steklov spectrum of convex polygonal domains II: investigating spectral determination

Emily B. Dryden, Carolyn Gordon, Javier Moreno, Julie Rowlett, Carlos Villegas-Blas · 2026

The extent to which the geometry of an object is determined by some associated spectral data is a longstanding problem. We investigate this problem in the context of the Steklov spectrum, focusing on …

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Mathematics Preprint PDF DOI

Generalized Tur\'an problems for Berge hypergraphs

Xiamiao Zhao, Xin Cheng, Daniel Gerbner · 2026

Let $\mathcal{H}$ be a hypergraph and $F$ be a graph. If there exists a bijection between the hyperedges of $\mathcal{H}$ and the edges of $F$ such that each hyperedge contains its image, then we sa…

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Economics & Finance Preprint PDF DOI

Contagion or Macroeconomic Fluctuations? Identifiability in Aggregated Default Data

Shintaro Mori · 2026

Can contagion be inferred from aggregated default data? We study this as a problem of identifiability, asking whether contagion generates components in default count distributions that remain distinct…

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AI & Data Science Preprint PDF DOI

GAViD: A Large-Scale Multimodal Dataset for Context-Aware Group Affect Recognition from Videos

Deepak Kumar, Abhishek Pratap Singh, Puneet Kumar, Xiaobai Li, Balasubramanian Raman · 2026

Understanding affective dynamics in real-world social systems is fundamental to modeling and analyzing human-human interactions in complex environments. Group affect emerges from intertwined human-hum…

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Mathematics Preprint PDF DOI

Extrapolation of max-stable random fields with Fr\'echet marginals

Vitalii Makogin, Evgeny Spodarev, Ilja Sukhanov · 2026

We propose a method for the prediction of stationary max--stable random fields with $\alpha$-Fr\'echet marginal distribution $H_\alpha$. The method is suitable to cope with heavy tails for $\alpha\in(…

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Mathematics Preprint PDF DOI

Algebraic redshift in the $C_2$-equivariant Adams spectral sequence

Paul Shick · 2026

We study $v_n$-periodic phenomena in $C_2$-equivariant stable homotopy through the lens of the $C_2$-equivariant Adams spectral sequence at the prime 2. In particular, we construct/detect certain clas…

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Mathematics Preprint PDF DOI

Remarks on Topological Rigidity of Real Moment-Angle Manifolds

Ioannis Gkeneralis · 2026

We study topological rigidity of real moment-angle manifolds associated to flag simplicial complexes. Using the cubical geometry arising from the Davis construction, we identify the universal cover wi…

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Computer Science Preprint PDF DOI

AVID: A Benchmark for Omni-Modal Audio-Visual Inconsistency Understanding via Agent-Driven Construction

Zixuan Chen, Depeng Wang, Hao Lin, Li Luo, Ke Xu, Ya Guo, Huijia Zhu, Tanfeng Sun, Xinghao Jiang · 2026

We present AVID, the first large-scale benchmark for audio-visual inconsistency understanding in videos. While omni-modal large language models excel at temporally aligned tasks such as captioning and…

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Economics & Finance Preprint PDF DOI

Root-$n$ Asymptotically Normal Maximum Score Estimation

Nan Liu, Yanbo Liu, Yuya Sasaki, Yuanyuan Wan · 2026

The maximum score method (Manski, 1975, 1985) is a powerful approach for binary choice models, yet it is known to face both practical and theoretical challenges. In particular, the estimator converges…

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Mathematics Preprint PDF DOI

A short proof of near-linear convergence of adaptive gradient descent under fourth-order growth and convexity

Damek Davis, Dmitriy Drusvyatskiy · 2026

Davis, Drusvyatskiy, and Jiang showed that gradient descent with an adaptive stepsize converges locally at a nearly-linear rate for smooth functions that grow at least quartically away from their mini…

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Engineering Preprint PDF DOI

Symmetry Is Almost All You Need: Robust Stability with Uncertainty Induced by Symmetric SRG Regions

Ding Zhang, Di Zhao, Philipp Braun, Jianqi Chen · 2026

This paper investigates the robust stability problem of a feedback system in the presence of uncertainties induced by graphical regions in the plane where the scaled relative graphs (SRGs) reside. Our…

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Physics Preprint PDF DOI

Rotating Thin Shells in Einstein-Gauss-Bonnet Gravity

Joao D. Alvares, Tiago V. Fernandes · 2026

A rotating metric solution in Einstein-Gauss-Bonnet gravity with a negative cosmological constant was recently found in the Chern-Simons point. We construct a rotating thin shell gluing two spacetimes…

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