Eikonal loss 鼓励生成的结果满足Eikonal Equation的特殊情况(传播速度恒等于1):|∂D(x)|=F(x)=1 Eikonal loss 可以表达为: L=∑Φ(∂D(x)−1) Σ 表示对点的求和,∇D 是距离场D关于x的梯度。Φ 是一个惩罚函数,通常用于推动预测的距离场满足Eikonal方程。Φ取L2 loss居多, 即: L=∑(∂D(...
Eikonal Loss是一种基于Eikonal方程的损失函数,旨在促使生成的距离场满足特定的传播速度条件。以下是关于Eikonal Loss的详细理解:基于Eikonal方程:Eikonal方程描述了波在不同位置的传播速度,形式为涉及距离场D和传播速度F的等式。该方程表明,距离场的梯度方向指向最近目标,且梯度的模长等于传播速度。损失函...
Eikonal Loss是一种基于Eikonal方程的损失函数,其目标是促使生成的距离场满足特定的传播速度条件。Eikonal方程描述了波在不同位置的传播速度,形式为:[公式]其中D(x)为程函或距离场,F(x)为传播速度,|·|表示欧几里德范数。该方程表明,距离场的梯度方向指向最近目标,梯度的模长等于传播速度。Eikonal...
By minimizing a loss function formed by imposing the eikonal equation, we train a neural network to output traveltimes that are consistent with the underlying partial differential equation. We observe sufficiently high traveltime accuracy for most applications of interest. We also demonstrate how the ...
Using a loss function defined by the underlying PDE, we train a DNN to yield the solution of the eikonal equation. To mitigate point-source singularity, we use the factored eikonal equation. Through tests on benchmark synthetic models, we study the accuracy properties of the proposed solver. ...
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17.The interpolation approximation applied in the colored loss-noise model of Dye laser;内插函数近似法在单模激光系统中的应用 18.An Approximative Method of Calculating Energy Level And Wave Function of Hydrogen Atom;氢原子能级及波函数的一种近似计算法 相关短句/例句 Coulomb-eikonal approximation库仑程函...
Energy loss and (de)coherence effects beyond eikonal approximationJet quenchingFinite energy correctionsColour coherenceThe parton branching process is known to ... Apolinario,Liliana,Salgado,... - 《Nuclear Physics A Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter &...
The optimization of the CV restitution parameters was conducted in Python, employing the minimize function from SciPy's optimize package [43]. In both optimization processes, the root mean square error was used as a loss function. 3.1 Multiple stimulations and CV restitution To assess the ...
Examples, including the IFP Marmousi and the SEG/EAGE 3D salt-dome models, show that a spherical-coordinate implementation of the method results in far fewer errors in traveltime calculation than the conventional Cartesian-coordinate implementation, and with practically no loss in computational ...