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Preprint Teks lengkap
OMG-Avatar: One-shot Multi-LOD Gaussian Head Avatar
We propose OMG-Avatar, a novel One-shot method that leverages a Multi-LOD (Level-of-Detail) Gaussian representation for animatable 3D head reconstruction from a single image in 0.2s. Our method enables LOD head avatar modeling using a unified model that accommodates diverse hardware capabilities…
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Preprint Teks lengkap
Transfer principles and the Kato-Kuzumaki conjecture
We show that for tame valued fields of equal characteristic with divisible value group, the $C_i$ property lifts from the residue field to the valued field under suitable hypotheses on the residue field. We apply this transfer principle to prove Kato-Kuzumaki's conjecture in full generality for…
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Preprint Teks lengkap
Engineering edge states in two-leg SSH ladder and their topoelectric circuit realization
We study the topological phase transition in a two-leg Su-Schrieffer-Heeger (SSH) ladder by redefining the unit-cell structure. For both identical hopping dimerization pattern (uniform) and alternate hopping dimerization pattern (staggered) along the legs of the ladder, we demonstrate that…
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Distribution of square-free palindromes
An exponent of distribution 1/16 is established for square-free palindromes. The main input is an upper bound for the number of palindromes, in arithmetic progressions to large moduli, divisible by large squares. Our argument combines a simplifying reformulation with exponential-sum estimates…
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A Browser-based Open Source Assistant for Multimodal Content Verification
Disinformation and false content produced by generative AI pose a significant challenge for journalists and fact-checkers who must rapidly verify digital media information. While there is an abundance of NLP models for detecting credibility signals such as persuasion techniques, subjectivity, or…
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Preprint Teks lengkap
Deception by Design: A Temporal Dark Patterns Audit of McDonald's Self-Ordering Kiosk Flow
Self-ordering kiosks (SOKs) are widely deployed in fast food restaurants, transforming food ordering into digitally mediated, self-navigated interactions. While these systems enhance efficiency and average order value, they also create opportunities for manipulative interface design practices known…
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NNLO DGLAP splitting functions from collinear matching of TMDs
We report a complete computation of next-to-next-to-leading order (NNLO) helicity and transversity Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) splitting functions, in both space-like and time-like kinematics. These results are obtained from the next-to-next-to-next-to-leading order (N$^3$LO)…
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Excursion-set for Primordial Black Holes I: white noise and moving barrier
In the excursion-set formalism, the mass distribution of primordial black holes (PBHs) is derived from the first-passage time of a random walk describing the density contrast as the coarse-graining scale varies. We address two recent concerns that have been raised about this approach. First, it was…
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Spatial symmetry invariance of solution of Kolmogorov flow
We prove a mathematical theorem that solution for all $t > 0$ of the two-dimensional (2D) Kolmogorov flow governed by Navier-Stokes (NS) equations with periodic boundary condition keeps the same spatial symmetry as its smooth initial condition. The proof of a similar theorem for the…
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Preprint Teks lengkap
Generalizing Fair Top-$k$ Selection: An Integrative Approach
Fair top-$k$ selection, which ensures appropriate proportional representation of members from minority or historically disadvantaged groups among the top-$k$ selected candidates, has drawn significant attention. We study the problem of finding a fair (linear) scoring function with multiple…
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Preprint Teks lengkap
Analytic structure of $q$-pseudoconcave subsets of continuous graphs
Let $Z\subset\mathbb{C}^N$ be an $n$-pseudoconcave subset, for $1\leq n
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Preprint Teks lengkap
Dispersion for the Schr{ö}dinger equation on the line with short-range array of delta potentials
We study dispersive properties of the one-dimensional Schr{ö}dinger equation with a short-range array of delta interactions. More precisely, we consider the self-adjoint operator obtained by perturbing the free Laplacian on the line with a real-valued sequence of Dirac delta potentials and…
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Preprint Teks lengkap
Minimizers for boundary reactions: renormalized energy, location of singularities, and applications
The Casten-Holland and Matano theorem for interior reactions states that no nonconstant stable solutions exist in convex domains $Ω$ of $\mathbb{R}^n$ under zero Neumann boundary conditions. In this paper we establish that the analogous statement fails for boundary reactions when $n=2$ (that is…
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Rethinking Attention Output Projection: Structured Hadamard Transforms for Efficient Transformers
The dense output projection in multi head attention scales quadratically with model dimension, contributing significantly to parameter count, memory footprint, and inference cost. We propose replacing this projection with a fixed, parameter free Walsh Hadamard Transform (WHT) followed by a diagonal…
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The Influence of Clouds and Deuterium-Burning on Brown Dwarf Habitable Zones
To better understand the potential habitability of planets orbiting brown dwarfs, this work presents a new set of equilibrium temperature evolution tracks. Unlike most previous work that relied on analytic scaling relationships for brown dwarf luminosity evolution, we use the outputs of modern…
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Preprint Teks lengkap
OddGridBench: Exposing the Lack of Fine-Grained Visual Discrepancy Sensitivity in Multimodal Large Language Models
Multimodal large language models (MLLMs) have achieved remarkable performance across a wide range of vision language tasks. However, their ability in low-level visual perception, particularly in detecting fine-grained visual discrepancies, remains underexplored and lacks systematic analysis. In…
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Preprint Teks lengkap
Declarative Scenario-based Testing with RoadLogic
Scenario-based testing is a key method for cost-effective and safe validation of autonomous vehicles (AVs). Existing approaches rely on imperative scenario definitions, requiring developers to manually enumerate numerous variants to achieve coverage. Declarative languages, such as ASAM OpenSCENARIO…
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An Empirical Study of Interaction Smells in Multi-Turn Human-LLM Collaborative Code Generation
Large Language Models (LLMs) have revolutionized code generation, evolving from static tools into dynamic conversational interfaces that facilitate complex, multi-turn collaborative programming. While LLMs exhibit remarkable proficiency in generating standalone code snippets, they often struggle to…
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Preprint Teks lengkap
One-loop mass corrections of interacting string states
The free string spectrum is highly degenerate, with a degeneracy that grows exponentially with the mass. Turning on a non-vanishing string coupling $g_s$ introduces interactions, rendering massive string states unstable and allowing them to decay into lower-mass states, with mixing constrained by…
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Preprint Teks lengkap
Model Merging in the Era of Large Language Models: Methods, Applications, and Future Directions
Model merging combines the parameters of multiple neural networks into a single model without additional training. As fine-tuned large language models (LLMs) proliferate, merging offers a computationally efficient alternative to ensembles and full retraining, enabling practitioners to compose…
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