each functional eigenvector can be described as a weighted combination of the structural eigenvectors (see Materials and Methods section for further details). As a result, we obtain a functional mapping\(\hat{F}\)whose entries are a nonlinear combination of measurements related to structural walks ...
According to Glansdorff and Prigogine (1971) and Prigogine (1947), a molecular diffusion process that is under a condition near equilibrium can be described as a linear non-equilibrium process that satisfies the Onsager’s reciprocity relations (1931) as well; thus, it can be characterized by ...
Each diffusing spin can be described as probing a micro-domain, a microscopic region of the tissue environment within a voxel. The PA signal thus represents the spherical mean of the set of micro-domains, regardless of their individual orientation or organisation within the voxel. Several studies...
The (approximate) inverse of the forward diffusion can be described by an ordinary or a stochastic differential equation (ODE or SDE, respectively), defined by the learned score function, and can therefore be used for generation when starting from random noise. A crucial drawback of DDMs is ...
Single-file diffusion behaves as normal diffusion at small time and as anomalous subdiffusion at large time. These properties can be described by fractional Brownian motion with variable Hurst exponent or multifractional Brownian motion. We introduce a new stochastic process called Riemann-Liouville step...
Finally, as our resulting object Γ1d(kz) is a 1d power spectrum, it should have dimensions of length; hence, we normalize by the mean cross-sectional area (CSA) \(\overline{A}\). The restrictions in general can be provided by any kind of microstructural inhomogeneity. Here, they are ...
Or it may be controlled by an interface reaction—roughly speaking, by the restricted ability of a boundary to act as a sink or source for point defects, or by its restricted ability to slide. The flow behavior of superplastic alloys can be explained as the superposition of this mechanism ...
Fusion pore modulation as a presynaptic mechanism contributing to expression of long-term potentiation Trends Neurosci. 19, 163-171. Crank, J. (1975). The Mathematics of Diffusion, 2nd Edition (Oxford, UK: Clarendon Press)... S Choi,J Klingauf,RW Tsien - 《Philosophical Transactions of the...
Stable Diffusion is a system made up of several components and models. It is not one monolithic model. Stable Diffusion是一个由多个部件和模型组成的系统,它不是一个整体模型。 As we look under the hood, the first observation we can make is that there's a text-understanding component that tran...
Model Description:This is a model that can be used to generate and modify images based on text prompts. It is aLatent Diffusion Modelthat uses a fixed, pretrained text encoder (CLIP ViT-L/14) as suggested in theImagen paper. Resources for more information:GitHub Repository,Paper. ...