Tootfinder

STSBench: A Spatio-temporal Scenario Benchmark for Multi-modal Large Language Models in Autonomous Driving
Christian Fruhwirth-Reisinger, Du\v{s}an Mali\'c, Wei Lin, David Schinagl, Samuel Schulter, Horst Possegger
https://arxiv.org/abs/2506.06218

STSBench: A Spatio-temporal Scenario Benchmark for Multi-modal Large Language Models in Autonomous Driving
We introduce STSBench, a scenario-based framework to benchmark the holistic understanding of vision-language models (VLMs) for autonomous driving. The framework automatically mines pre-defined traffic scenarios from any dataset using ground-truth annotations, provides an intuitive user interface for efficient human verification, and generates multiple-choice questions for model evaluation. Applied to the NuScenes dataset, we present STSnu, the first benchmark that evaluates the spatio-temporal …

On a scaled abstract linking theorem with an application to the Schr\"{o}dinger--Poisson--Slater equation
Kanishka Perera, Kaye Silva
https://arxiv.org/abs/2506.01165

On a scaled abstract linking theorem with an application to the Schrödinger--Poisson--Slater equation
We prove an abstract linking theorem that can be used to show existence of solutions to various types of variational elliptic equations, including Schrödinger--Poisson--Slater type equations.

Enhancing Speech Instruction Understanding and Disambiguation in Robotics via Speech Prosody
David Sasu, Kweku Andoh Yamoah, Benedict Quartey, Natalie Schluter
https://arxiv.org/abs/2506.02057

Enhancing Speech Instruction Understanding and Disambiguation in Robotics via Speech Prosody
Enabling robots to accurately interpret and execute spoken language instructions is essential for effective human-robot collaboration. Traditional methods rely on speech recognition to transcribe speech into text, often discarding crucial prosodic cues needed for disambiguating intent. We propose a novel approach that directly leverages speech prosody to infer and resolve instruction intent. Predicted intents are integrated into large language models via in-context learning to disambiguate and …

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
Claudianor O. Alves, Rui Ding, Chao Ji
https://arxiv.org/abs/2506.04967

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
In this paper, we study the existence and {multiplicity} of nontrivial solitary waves for the generalized Kadomtsev-Petviashvili equation with prescribed {$L^2$-norm} \begin{equation*}\label{Equation1} \left\{\begin{array}{l} \left(-u_{x x}+D_x^{-2} u_{y y}+λu-f(u)\right)_x=0,{\quad x \in \mathbb{R}^2, } \\[10pt] \displaystyle \int_{\mathbb{R}^2}u^2 d x=a^2, \end{array}\right.%\tag{$\mathscr E_λ$} \end{equation*} where $a>0$ and $λ\in \mathbb{R}$ is an unknown parameter that appears …

A Standing-Wave Model for the Low-Frequency Dynamics of a Turbulent Separation Bubble
Lukas M. Fuchs, Ben Steinfurth, Jakob G. R. von Saldern, Julien Weiss, Kilian Oberleithner
https://arxiv.org/abs/2505.24723

A Standing-Wave Model for the Low-Frequency Dynamics of a Turbulent Separation Bubble
This study investigates the low-frequency dynamics of a turbulent separation bubble (TSB) forming over a backward-facing ramp, with a focus on very-large-scale coherent structures associated with the so-called 'breathing motion'. Using time-resolved particle image velocimetry (PIV) in both streamwise and spanwise planes, we examine the role of sidewall confinement, an aspect largely overlooked in previous research. Spectral proper orthogonal decomposition (SPOD) of the streamwise velocity field…

Coherent structures in long range FPUT lattices, Part I: Solitary Waves
J. Douglas Wright, Udoh Akpan
https://arxiv.org/abs/2505.24828 https://

Coherent structures in long range FPUT lattices, Part I: Solitary Waves
We consider long range variants of Fermi-Pasta-Ulam-Tsingou lattice and in particular allow for particles to interact over arbitrarily long distances. We develop sufficient conditions which allow for the construction of solitary wave solutions.