A rapidly decorrelating velocity field model is used to derive stochastic partial differential equations (SPDE) allowing one to compute the modeled one-point joint probability density function of turbulent reactive scalars. Those SPDEs are shown to be hyperbolic advection/reaction equations. They are ...
So we have a probability 0.984 that ϕ2 > ϕ1. Furthermore, the distribution of any derived parameter of interest can be easily obtained from the joint posterior distribution using numerical methods. We find the 95% equal-tails credible intervals: [+0.013,+0.312] for ϕ1−ϕ2[...
equations salt analysis acids, bases, and salts benzene organometallic compounds atomic number and mass number more maths pythagoras theorem prime numbers probability and statistics fractions sets trigonometric functions relations and functions sequence and series multiplication tables determinants and matrices ...
Karniadakis, New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs, J. Comput. Phys. 231 (21) (2012) 7450-7474.Venturi, D., Karniadakis, G.E.: New evolution equations for the joint response-excitation ...
In patients with locally advanced stage III NSCLC, the probability of local control remains low (34% at 1 year without immunotherapy) [157]. A prospective phase II multicentre dose escalation study applying [18F]FMISO in NSCLC in hypoxic sub-volumes (RTEP5, NCT 01576796), showed the feasibilit...
Meta-learning is one of the most popular solutions for few-shot learning problems, which often learns generalization capabilities over a large number of tasks and quickly adapts to a new domain with a few examples. A classical type of these algorithms, such as MAML [20] and Reptile [44], ...
c, MIRA joint representation UMAP colored by ratio of probability of medulla fate commitment within the ORS, matrix, medulla, and cortex populations. Differentiation in the hair follicle proceeds from ORS to progenitor matrix cells, which then specify into the medulla or cortex fate. (IRS cells ...
tree, we use a similar s- trategy as in hough forest [6]: in the split test of each internal node, we randomly choose to either minimize the binary entropy for classification (with probability ρ) or the variance of the facial point increments for regression (with probability 1 − ρ)...
Let NL be the maximum number of consecutive losses (burst) than can occur in the channel with a certain probability bound. Above this value the network is faulty, and the system should enter a disaster recovery phase, Handling external events The design of the controller considers standard ...
w.r.t. a given cost function\(c(\mathbf {x}_1,\mathbf {x}_2)\)measuring the dissimilarity between samples\(\mathbf {x}_1\)and\(\mathbf {x}_2\). Here,\(\varPi (\mu _1,\mu _2)\)describes the space of joint probability distributions with marginals\(\mu _1\)and\(\mu _...