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Diffusion Models with Double Guidance: Generate with aggregated datasets

arXiv:2505.13213v2 Announce Type: replace-cross Abstract: Creating large-scale datasets for training high-performance generative models is often prohibitively expensive, especially when associated attributes or annotations must be provided. As a result, merging existing datasets has become a common strategy. However, the sets…

Deflation-PINNs: Learning Multiple Solutions for PDEs and Landau-de Gennes

arXiv:2603.27936v1 Announce Type: cross Abstract: Nonlinear Partial Differential Equations (PDEs) are ubiquitous in mathematical physics and engineering. Although Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for solving PDE problems, they typically struggle to identify multiple distinct solutions,…