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The Diffusion Problem Solver with Dual-Phased Diffusion: Toward Universal Anime Generation
The Hong Kong University of Science and Technology Department of Computer Science and Engineering Final Year Thesis Oral Defense Title: "The Diffusion Problem Solver with Dual-Phased Diffusion: Toward Universal Anime Generation" by PENG Xuelei Abstract: Current image generation frameworks are largely task-specific and cannot function as general solvers across diverse visual problems. In this thesis, we introduce the Diffusion Problem Solver (DPS), a training-free framework that interprets diffusion denoising as a dual-phased process characterized by high error in early stages and low error in later stages. This perspective enables a phased strategy that first stabilizes global structure and then refines local details. To achieve this, we propose a Predictive Drift Controller (PDC) that corrects identity drift in the mid-noise regime by stabilizing spatial features through feedback control, followed by Local Harmonic Field Guidance (LHFG), which formulates late-stage refinement as a Dirichlet boundary value problem solved via Jacobi relaxation on latent features. Together these mechanisms transform diffusion into a controllable problem-solving framework rather than a fixed generative pipeline. We demonstrate that DPS requires no additional training and achieves strong results across multiple anime-style generation tasks, including manga synthesis, virtual try-on, and image editing, suggesting a unified and generalizable approach to controllable image generation. Date : 27 April 2026 (Monday) Time : 14:00 - 14:40 Venue : Room 2132C (near Lift 22), HKUST Advisor : Prof. TANG Chi-Keung 2nd Reader : Prof. SANDER Pedro