瞬时换元公式[1](Instantaneous Change of Variable,ICV) 是连续时间normalizing flow (CNF)中一个核心定理。最早由NeurIPS-2018 的best paper 之一的工作 Neural ODE提出。该定理给出了在一个常微分方程定义的变换下,概率密度的变换公式。该定理可以描述为: Theorem(Instanta
Relations between different notions of functional derivatives are established.doi:10.1142/S021902572050006XMichael ManiaRevaz TevzadzeInfinite Dimensional Analysis Quantum Probability and Related Topics
Journal of Theoretical ProbabilityG. Peskir, “A-Change-of-Variable Formula with Local Time on Curves,” J. Theor. Probab. 18 (3), 499 (2005). MathSciNetPeskir, G.: A change-of-variable formula with local time on curves. J. Theoret. Probab. 18 , 499–535 (2005) MATH MathSciNet...
For this analysis, the damage functions were leveraged probabilistically to account for the variable damage response to certain flood depths. The curves were then input into an open-source consequence engine developed for this project called go-fathom52. The go-fathom project referenced an open-sourc...
Variable Rate of Change Constant Rate of Change Examples Lesson Summary Frequently Asked Questions What is the definition of rate of change? The rate of change is the ratio of how a dependent value changes over a block of time. It is the ratio of the change of the output to the change...
The posterior density distribution of model parameters on either side of the zero line provides an indication of the level of contribution of each variable that affects TC numbers in a particular basin. In our case, we have calculated the 95% credible interval (equivalent to the 95% confidence...
Yet there remains a persistent lack of participation by some parts of society (Rawlins et al., 2008)– revealing a variable willingness by private actors to freely provide a public good. From this set of examples we can determine that privately provided adaptation public goods are supplied ...
Watterson [34] developed a method to extend the results of single variable probability distribution functions (PDF) to provide relatively smooth joint PDFs for impact assessments. A basic use, developed by Watterson and Whetton [35], is to estimate an impact for each grid point across the domai...
Consequently tropical cities such as Singapore are finding it much more difficult to control the disease than cities elsewhere, like Hong Kong, that are similar in many respects (density, housing quality, and public health preparedness, for instance) but experience a more variable and sometimes ...
Caribbean salinity anomalies contributed to variable North Atlantic circulation and climate during the Common Era. Science Advances, DOI:10.1126/sciadv.adg2639 Epidemiology Perofsky, A.C., Huddleston, J., Hansen, C., Barnes, J.R., Rowe, T., Xu, X., Kondor, R., Wentworth, D.E., ...