8 papers
Topology-Aware Representation Alignment for Semi-Supervised Vision-Language Learning
Junwon You, Mihyun Jang, Sangwoo Mo +1
Vision-language models have shown strong performance, but they often generalize poorly to specialized domains. While semi-supervised vision-language learning mitigates this limitat…
Topological Alignment of Shared Vision-Language Embedding Space
Junwon You, Dasol Kang, Jae-Hun Jung
Contrastive Vision-Language Models (VLMs) have demonstrated strong zero-shot capabilities. However, their cross-modal alignment remains biased toward English due to limited multili…
Persistent Homology with Path-Representable Distances on Graph Data
Eunwoo Heo, Byeongchan Choi, Jae-Hun Jung
Persistent homology (PH) has been widely applied to graph data to extract topological features. However, little attention has been paid to how different distance functions on a gra…
Zipf-Mandelbrot Scaling in Korean Court Music: Universal Patterns in Music
Byeongchan Choi, Junwon You, Myung Ock Kim +1
Zipf's law, originally discovered in natural language and later generalized to the Zipf-Mandelbrot law, describes a power-law relationship between the frequency of a Zipfian elemen…
Persistent Homology of Music Network with Three Different Distances
Eunwoo Heo, Byeongchan Choi, Myung ock Kim +2
Persistent homology has been widely used to discover hidden topological structures in data across various applications, including music data. To apply persistent homology, a distan…
Schwartz duality for singularly perturbed nonlinear differential equations with Chebyshev spectral method
Eunwoo Heo, Kwanghyuk Park, Jae-Hun Jung
Singularly perturbed differential equations with a Dirac delta function yield discontinuous solutions. Therefore, careful consideration is required when using numerical methods to…