8 papers
Singular systems of linear forms over global function fields
Gukyeong Bang, Taehyeong Kim, Seonhee Lim
In this paper, we consider singular systems of linear forms over global function fields of class number one and give an upper bound for the Hausdorff dimension of the set of singul…
Tensor CUR Decomposition under the Linear-Map-Based Tensor-Tensor Multiplication
Susana Lopez-Moreno, June-Ho Lee, Taehyeong Kim
The factorization of three-dimensional data continues to gain attention due to its relevance in representing and compressing large-scale datasets. The linear-map-based tensor-tenso…
Pedagogical Alignment for Vision-Language-Action Models: A Comprehensive Framework for Data, Architecture, and Evaluation in Education
Unggi Lee, Jahyun Jeong, Sunyoung Shin +12
Science demonstrations are important for effective STEM education, yet teachers face challenges in conducting them safely and consistently across multiple occasions, where robotics…
Explain with Visual Keypoints Like a Real Mentor! A Benchmark for Multimodal Solution Explanation
Jaewoo Park, Jungyang Park, Dongju Jang +6
With the rapid advancement of mathematical reasoning capabilities in Large Language Models (LLMs), AI systems are increasingly being adopted in educational settings to support stud…
High entropy measures on the space of lattices with escape of mass
Taehyeong Kim
For any diagonal element with two eigenvalues, we construct a sequence of -invariant probability measures on the space of unimodular lattices with high entropy but convergin…
MMR: A Large-scale Benchmark Dataset for Multi-target and Multi-granularity Reasoning Segmentation
Donggon Jang, Yucheol Cho, Suin Lee +2
The fusion of Large Language Models with vision models is pioneering new possibilities in user-interactive vision-language tasks. A notable application is reasoning segmentation, w…