Network Diffusion Model
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ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models
arXiv:2606.08685v1 Announce Type: new Abstract: We study a numerical method, built on the tensor neural network (TNN) architecture introduced in \cite{wang2022tensor}, for solving nonlocal diffusion models in high-dimensional spaces. The tensor-product structure of the TNN ansatz, combined with the separability of the Gaussian kernel, reduces the high-dimensional integrals in the nonlocal energy to products of low-dimensional integrals, which are evaluated by Gauss--Legendre quadrature;...
Riemannian Diffusion Models on General Manifolds via Physics-Informed Neural Networks
arXiv:2605.31106v1 Announce Type: new Abstract: Riemannian diffusion models generalize score-based generative modeling to manifold-supported data via stochastic diffusion equations on the manifold. However, training requires sampling from and differentiating the manifold heat kernel, which is rarely available in closed form beyond a few highly symmetric manifolds. We propose a general approach that approximates the heat kernel by directly solving the manifold heat equation with a...
Trees to Flows and Back: Unifying Decision Trees and Diffusion Models
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Diffusion-driven pattern formation in an opinion dynamical network model
arXiv:2508.15377v2 Announce Type: replace Abstract: The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a network-based approach in which nodes represent communities of interacting agents holding one of two competing opinions, and links represent avenues of migration. Agents adapt to the dominant opinion within a...
Finetuning-Free Diffusion Model with Adaptive Constraint Guidance for Inorganic Crystal Structure Generation
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Efficient and Training-Free Single-Image Diffusion Models
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Learning To Sample From Diffusion Models Via Inverse Reinforcement Learning
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EditSSC: Toward Editable Semantic Occupancy Scenes with Unconditional Diffusion Models
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Efficient and Training-Free Single-Image Diffusion Models
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Scalable Single-Cell Gene Expression Generation with Latent Diffusion Models
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