diffusion models

MAP-Diff: Multi-anchor Guided Diffusion for Progressive 3D Whole-Body Low-Dose PET Denoising

Discovering how ice crystals grow using neural ODEs and symbolic regression

Depositional ice growth strongly influences the evolution and lifetime of ice-containing clouds on Earth and Mars, yet its physics remain uncertain because the earliest stages of ice-crystal growth cannot be directly observed and are sparsely sampled in laboratory settings. Here, we use physics-informed machine learnin...

Representation Theorems for Convex Expectations and Semigroups on Path Space

The objective of this paper is to investigate the connection between penalty functions from stochastic optimal control, convex semigroups from analysis, and convex expectations from probability theory. Our main result provides a one-to-one relation between these objects. As an application, we use the representation via...

Improving Factuality of 3D Brain MRI Report Generation with Paired Image-Domain Retrieval and Text-Domain Augmentation

TurathiAI: Diffusion-Based Text-to-Image model for regional residential cultural heritage architectural building design

Sex in space-time: How discrete interactions favor sexual reproduction

It is demonstrated that asexual populations face certain extinction in dimensions 𝑑 ≤ 2 due to discreteness-induced extinction (DIE), whereas sexual populations can persist and form stabilizing clusters and suggest that the advantage of sex may emerge from purely physical and demographic constraints, independent of gen...

A coupled seepage-diffusion-corrosion model for predicting non-uniform corrosion of steel bolts in rock anchorage systems

CT-Conditioned Diffusion Prior with Physics-Constrained Sampling for PET Super-Resolution

Diffusion Geometry for Galaxy Bulk-Flow Reconstruction I: Foundations and Full-Vector Validation

We formulate a diffusion-spectral field-reconstruction framework based on diffusion geometry for reconstructing cosmological vector fields from finite and nonuniformly distributed galaxy point clouds. Low-frequency eigenfunctions of a Markov operator defined on the point cloud are used as a global basis shared by the C...

Diffusion Geometry for Galaxy Bulk-Flow Reconstruction II: Three-Dimensional Potential-Flow Reconstruction from Radial Velocities

Reconstructing a three-dimensional velocity field from radial peculiar velocities is non-identifiable because the radial observation operator has a large null space, even when a finite design matrix is formally full rank. Building on Paper I, we construct a potential-flow-constrained estimator from diffusion eigenfunct...

Diffusion Geometry for Galaxy Bulk-Flow Reconstruction I: Foundations and Full-Vector Validation

We formulate a diffusion-spectral field-reconstruction framework based on diffusion geometry for reconstructing cosmological vector fields from finite and nonuniformly distributed galaxy point clouds. Low-frequency eigenfunctions of a Markov operator defined on the point cloud are used as a global basis shared by the C...

Diffusion Geometry for Galaxy Bulk-Flow Reconstruction II: Three-Dimensional Potential-Flow Reconstruction from Radial Velocities

Reconstructing a three-dimensional velocity field from radial peculiar velocities is non-identifiable because the radial observation operator has a large null space, even when a finite design matrix is formally full rank. Building on Paper I, we construct a potential-flow-constrained estimator from diffusion eigenfunct...