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A flow-based generative model is a generative model used in machine learning that explicitly models a probability distribution by leveraging normalizing flow, [1] [2] [3] which is a statistical method using the change-of-variable law of probabilities to transform a simple distribution into a complex one.
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 ...
In respiratory physiology, the ventilation/perfusion ratio (V/Q ratio) is a ratio used to assess the efficiency and adequacy of the ventilation-perfusion coupling and thus the matching of two variables: V – ventilation – the air that reaches the alveoli; Q – perfusion – the blood that reaches the alveoli via the capillaries
In flow-based diffusion models, the forward process is a deterministic flow along a time-dependent vector field, and the backward process is also a deterministic flow along the same vector field, but going backwards. Both processes are solutions to ODEs. If the vector field is well-behaved, the ODE will also be well-behaved.
By taking into account the direction of the flow, the upwind differencing scheme overcomes that inability of the central differencing scheme.This scheme is developed for strong convective flows with suppressed diffusion effects.
Bulk motion, or bulk flow, is the characteristic of advection. [1] The term convection is used to describe the combination of both transport phenomena. If a diffusion process can be described by Fick's laws, it is called a normal diffusion (or Fickian diffusion); Otherwise, it is called an anomalous diffusion (or non-Fickian diffusion).
This scheme is used to solve convection–diffusion equations using second order central difference for the diffusion term and for the convection term the scheme is third order accurate in space and first order accurate in time. QUICK is most appropriate for steady flow or quasi-steady highly convective elliptic flow. [3]
The flow of particles due to the diffusion current is, by Fick's law, = (), where the minus sign means that particles flow from higher to lower concentration. Now consider the equilibrium condition. First, there is no net flow, i.e. J d r i f t + J d i f f u s i o n = 0 {\displaystyle \mathbf {J} _{\mathrm {drift} }+\mathbf {J} _{\mathrm ...