Thereby, the observations are given as vectors of body part coordinates in pixels and likelihoods. In contrast to most approaches described in the literature, the proposed approach requires solely spatial and temporal information natively, while leveraging visual information (for example, animals’ ...
is proportional to the reciprocal of the square root of the sample size; thus this blow-up in terms of the sample size can be as fast as exponential if we wish to attain the quadratic convergence rate, and linear if we wish to attain the superlinear convergence rate established in this pa...
aRandom walks, characterized by an erratic change of an observable, occur at all length and time scales in a variety of systems. Examples are provided by atoms in magneto-optical traps; the diffusion of cellular components, such as DNA, proteins, lipids, and organelles; the motion of bacteria...
located in the temperate semi-moist continental monsoon climate zone, with an average annual precipitation of 710.2 mm, abundant rainfall and four distinct seasons. The average precipitation at the site from June to August
splinetool(x,y)opens the tool with the specified dataxandy, which must be vectors of the same length. example Examples collapse all Experiment with Noisy Data Run this code to open the Spline Tool and experiment with noisy data. x = linspace(1,pi,101); y = cos(x)+(rand(size(x))-...
See Sect.7.3subsectionsA.1andA.7in the “Appendix”. See Sect.4.3of the paper, Figs.1and2 Although it is outside the scope of this paper, it is also possible to represent time-dependent variables. For instance, by adding non-stationary shocks to an otherwise standard structural DSGE model...
(1) is W=U, where U is the singular vectors matrix [43]. If we set the rank of the subspace to r, then the solution of Eq. (1) is W=Ur, where Ur is the singular vectors matrix corresponding to the r top eigenvalues of the autocorrelation matrix XXT. The projection matrix for ...
where A = {Aij}is a n× n matrix that depends on c and b={bi}1n, c={ci}1n are n-dimensional vectors with (36)Aij(c)=Aji(c)=∫∫ΩF∑k=1nckϕkϕiϕjdxdy, and (37)bi(c)=−∑j=1n∫∫ΩG∑k=1nckϕk∇ϕi⋅∇ϕjdxdy+∫∫ΩH∑k=1nckϕkϕidx...
RNA velocity has been rapidly adopted to guide interpretation of transcriptional dynamics in snapshot single-cell data; however, current approaches for estimating RNA velocity lack effective strategies for quantifying uncertainty and determining the over
et al. Late-stage lead diversification coupled with quantitative nuclear magnetic resonance spectroscopy to identify new structure–activity relationship vectors at nanomole-scale synthesis: application to loratadine, a human histamine H1 receptor inverse agonist. J. Med. Chem. 63, 7268–7292 (2020)....