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Discrete Differential Principle for Continuous Smooth Function Representation
Guoyou Wang, Yihua Tan, Shiqi Liu
Taylor's formula holds significant importance in function representation, such as solving differential difference equations, ordinary differential equations, partial differential e…
Unlearning Concepts from Text-to-Video Diffusion Models
Shiqi Liu, Yihua Tan
With the advancement of computer vision and natural language processing, text-to-video generation, enabled by text-to-video diffusion models, has become more prevalent. These model…
Understanding Generalization via Set Theory
Shiqi Liu
Generalization is at the core of machine learning models. However, the definition of generalization is not entirely clear. We employ set theory to introduce the concepts of algorit…
Understanding Pan-Sharpening via Generalized Inverse
Shiqi Liu, Yihua Tan, Yutong Bai +1
Pan-sharpening algorithms utilize a panchromatic image and a multispectral image to generate a high spatial and high spectral image. However, the optimizations of the algorithms ar…