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  2. Diffusion model - Wikipedia

    en.wikipedia.org/wiki/Diffusion_model

    The goal of diffusion models is to learn a diffusion process for a given dataset, such that the process can generate new elements that are distributed similarly as the original dataset. A diffusion model models data as generated by a diffusion process, whereby a new datum performs a random walk with drift through the space of all possible data. [2]

  3. Latent diffusion model - Wikipedia

    en.wikipedia.org/wiki/Latent_Diffusion_Model

    The Latent Diffusion Model (LDM) [1] is a diffusion model architecture developed by the CompVis (Computer Vision & Learning) [2] group at LMU Munich. [ 3 ] Introduced in 2015, diffusion models (DMs) are trained with the objective of removing successive applications of noise (commonly Gaussian ) on training images.

  4. Diffusion process - Wikipedia

    en.wikipedia.org/wiki/Diffusion_process

    In probability theory and statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion process is stochastic in nature and hence is used to model many real-life stochastic systems.

  5. Water model - Wikipedia

    en.wikipedia.org/wiki/Water_model

    A water model is defined by its geometry, together with other parameters such as the atomic charges and Lennard-Jones parameters. In computational chemistry, a water model is used to simulate and thermodynamically calculate water clusters, liquid water, and aqueous solutions with explicit solvent.

  6. Stable Diffusion - Wikipedia

    en.wikipedia.org/wiki/Stable_Diffusion

    Diagram of the latent diffusion architecture used by Stable Diffusion The denoising process used by Stable Diffusion. The model generates images by iteratively denoising random noise until a configured number of steps have been reached, guided by the CLIP text encoder pretrained on concepts along with the attention mechanism, resulting in the desired image depicting a representation of the ...

  7. Hydrological model - Wikipedia

    en.wikipedia.org/wiki/Hydrological_model

    In a bivariate diagram, a linear or higher-order model may be fitted to the data. Factor analysis and principal component analysis are multivariate statistical procedures used to identify relationships between hydrologic variables. [28] [29] Convolution is a mathematical operation on two different functions to produce a third function. With ...

  8. Convection–diffusion equation - Wikipedia

    en.wikipedia.org/wiki/Convection–diffusion...

    The convection–diffusion equation can be derived in a straightforward way [4] from the continuity equation, which states that the rate of change for a scalar quantity in a differential control volume is given by flow and diffusion into and out of that part of the system along with any generation or consumption inside the control volume: + =, where j is the total flux and R is a net ...

  9. Dispersion (water waves) - Wikipedia

    en.wikipedia.org/wiki/Dispersion_(water_waves)

    Dispersion of gravity waves on a fluid surface. Phase and group velocity divided by shallow-water phase velocity √ gh as a function of relative depth h / λ. Blue lines (A): phase velocity; Red lines (B): group velocity; Black dashed line (C): phase and group velocity √ gh valid in shallow water.