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Mathematics Preprint PDF DOI

Geometric densities and compression radii of knot types

Makoto Ozawa · 2026

We study scale-invariant geometric quantities associated with embedded closed curves in Euclidean three-space, with an emphasis on their behavior under optimization within a fixed knot type. Given a E…

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Computer Science Preprint PDF DOI

Weighted Emulators with Local Heaviest Edges Stretch for Undirected Graphs

Liam Roditty, Ariel Sapir · 2026

We introduce a generalized family of $\left( 2\cdot \left\lfloor \frac{k}{2} \right\rfloor-1, 2\cdot \left\lceil \frac{k}{2} \right\rceil \cdot W_{1} +\max\left\{0,2\cdot\left(\left\lceil\frac{k}{2}\r…

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AI & Data Science Preprint PDF DOI

MemOVCD: Training-Free Open-Vocabulary Change Detection via Cross-Temporal Memory Reasoning and Global-Local Adaptive Rectification

Zuzheng Kuang, Honghao Chang, Boqiang Liang, Haoqian Wang, Lijun He, Fan Li, Haixia Bi · 2026

Open-vocabulary change detection aims to identify semantic changes in bi-temporal remote sensing images without predefined categories. Recent methods combine foundation models such as SAM, DINO and CL…

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AI & Data Science Preprint PDF DOI

State Beyond Appearance: Diagnosing and Improving State Consistency in Dial-Based Measurement Reading

Yuanze Hu, Gen Li, Yuqin Lan, Qingchen Yu, Zhichao Yang, Junwei Jing, Zhaoxin Fan, Xiaotie Deng · 2026

Multimodal large language models (MLLMs) have achieved impressive progress on general multimodal tasks, yet they remain brittle on dial-based measurement reading. In this paper, we study this problem …

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Physics Preprint PDF DOI

The End of the First Act: Spectral Running, Interacting Dark Radiation, and the Hubble Tension in Light of ACT DR6 Data

Mathias Garny, Florian Niedermann, Martin S. Sloth · 2026

We point out that constraints on $\Delta N_\mathrm{eff}$ reported by the ACT collaboration in their DR6 data release are surprisingly sensitive to the assumptions made about the initial power spectrum…

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AI & Data Science Preprint PDF DOI

Last-Layer-Centric Feature Recombination: Unleashing 3D Geometric Knowledge in DINOv3 for Monocular Depth Estimation

Gongshu Wang, Zhirui Wang, Kan Yang · 2026

Monocular depth estimation (MDE) is a fundamental yet inherently ill-posed task. Recent vision foundation models (VFMs), particularly DINO-based transformers, have significantly improved accuracy and …

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Mathematics Preprint PDF DOI

State-Dependent Lyapunov Method for Rank-1 Matrix Factorization

Jaehong Moon · 2026

We study gradient descent for rank-1 matrix factorization through a certificate-based viewpoint. The central object is a parameterized quadratic certificate $I(\delta;\,\cdot)$ whose level sets shrink…

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Mathematics Preprint PDF DOI

Arithmetical Structures on Ladder Graphs

Namita Behera, Dilli Ram Chhetri, Raj Bhawan Yadav · 2026

In this paper, we investigate arithmetical structures on Cartesian product graphs, particularly, ladder graph of the form P2\square Pm and grid graph of the form Pn \square Pm. An arithmetical structu…

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Mathematics Preprint PDF DOI

A determinant identity for the sum of contour integral matrices

Zhipeng Liu, Tejaswi Tripathi · 2026

We derive an identity for the determinant of the sum of two $n\times n$ matrices, $A$ and $B$, whose entries are defined via contour integrals. Specifically, we consider $A(i,j)=\frac{1}{2\pi\mathrm{i…

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Physics Preprint PDF DOI

Quantum Kernel Advantage over Classical Collapse in Medical Foundation Model Embeddings

Sebastian Cajas Ordonez, Felipe Ocampo Osorio, Dax Enshan Koh, Rafi Al Attrach, Aldo Marzullo, Ariel Guerra-Adames, J. Alejandro Andrade, Siong Thye Goh, Chi-Yu Chen, Rahul Gorijavolu, Xue Yang, Noah Dane Hebdon, Leo Anthony Celi · 2026

We provide evidence of quantum kernel advantage under noiseless simulation in binary insurance classification on MIMIC-CXR chest radiographs using quantum support vector machines (QSVM) with frozen em…

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Economics & Finance Preprint PDF DOI

Beyond De Prado and Cotton: Hierarchical and Iterative Methods for General Mean-Variance Portfolios

Bernd Johannes Wuebben · 2026

Hierarchical Risk Parity (De Pardo) and the Schur-complement generalization of Cotton are among the most widely adopted regularised portfolio construction methods, yet both are signal-blind: they solv…

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AI & Data Science Preprint PDF DOI

Deploy DINO with Many-to-Many Association

Haodong Jiang, Mingzhe Li, Junfeng Wu · 2026

Motivated by the limited generalization of supervised image matching models to unseen image domains, we explore the zero-shot deployment of DINO features for this task. The generalist visual represent…

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AI & Data Science Preprint PDF DOI

On-Device Vision Training, Deployment, and Inference on a Thumb-Sized Microcontroller

Jeremy Ellis · 2026

This paper presents a complete, end-to-end on-device vision machine learning pipeline, comprising data acquisition, two-layer CNN training with Adam optimization, and real-time inference, executing en…

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Engineering Preprint PDF DOI

A Vehicle Routing Problem for Human-Centered Electric Mobility

Mostafa Emam, Bjorn Martens, Thomas Rottmann, Matthias Gerdts · 2026

In this paper, we present the Electric Mobility Dial-a-Ride Problem (EM-DARP), which extends the Electric Vehicle Dial-a-Ride Problem (EV-DARP) to better accommodate human-focused mobility services. T…

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Mathematics Preprint PDF DOI

Stacking and clearing in graph pebbling

Tamas Csernak, Lajos Soukup · 2026

Suppose that pebbles are distributed on the vertices of a graph G. A pebbling step along an edge uv removes two pebbles from u and places one pebble on v. We introduce two new graph parameters: st…

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AI & Data Science Preprint PDF DOI

Supervised Learning Has a Necessary Geometric Blind Spot: Theory, Consequences, and Minimal Repair

Vishal Rajput · 2026

PGD adversarial training, the standard robustness method, can reduce Jacobian Frobenius norm yet worsen clean-input geometry (e.g., TDI 1.336 vs. ERM 1.093). We show this is not an implementation arti…

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Mathematics Preprint PDF DOI

An inductive approach to the Diaz-Park sharpness conjecture

Marco Praderio Bova · 2026

We develop tools which use common fusion systems building techniques in order to compute higher limits over the centric orbit category. We apply these tools in order to study both the Diaz-Park sharpn…

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Mathematics Preprint PDF DOI

Liouville Type Results for Quasilinear Elliptic Inequalities Involving Gradient Terms on Weighted Graphs

Anh Tuan Duong, Yao Liu, Nguyen Cong Minh, Dao Trong Quyet, Yuhua Sun · 2026

In this paper, we study the following quasi-linear elliptic inequality $\Delta_m u +u^p |\nabla u|^q \leqslant 0$ on weighted graphs, where $(m,p,q)\in (1,\infty)\times\mathbb{R}\times\mathbb{R}$. Acc…

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AI & Data Science Preprint PDF DOI

Self-supervised pretraining for an iterative image size agnostic vision transformer

Nedyalko Prisadnikov, Danda Pani Paudel, Yuqian Fu, Luc Van Gool · 2026

Vision Transformers (ViTs) dominate self-supervised learning (SSL). While they have proven highly effective for large-scale pretraining, they are computationally inefficient and scale poorly with imag…

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AI & Data Science Preprint PDF DOI

Frequency-Forcing: From Scaling-as-Time to Soft Frequency Guidance

Weitao Du · 2026

While standard flow-matching models transport noise to data uniformly, incorporating an explicit generation order - specifically, establishing coarse, low-frequency structure before fine detail - has …

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