This matrix-free approach was extended to quasi-static problems in Sanchez, Schreyer, Sulsky, and Wallstedt (2015) where it showcased the advantage that a consistent material tangent, which is usually hard to obtain for complex constitutive models, is not required. In contrast, Guilkey and ...
Our key in- sight is that depth gradients can be derived analytically us- ing the concept of implicit differentiation. This allows us to learn implicit shape and texture representations directly from RGB images. We experimentally show that our sin...
This function is the one on which automatic differentiation is applied to perform parameter learning. The display shows a simple 2-layer neural network g_{\theta}: z \mapsto x, but this applies to any generative model. Tune Hyperparameters Influence of the hyperparameters on the manifold of ...
Representing 3D surfaces efficiently and conveniently has long been a challenge in computer graphics and 3D vision. A representation for 3D surfaces should be accurate, while being suitable for downstream tasks. Shape analysis, such as 3D shape correspondences (Zheng et al.,2021; Groueix et al.,...
(Raissi, Perdikaris, & Karniadakis, 2019). In this approach, a deep learning framework that relies on physical laws and less data is formed by embedding PDEs into the loss of multilayer perceptrons (MLP) using automatic differentiation (AD) (Baydin, Pearlmutter, Radul, & Siskind, 2018) ...
(see Gudera and Morhard2015). The recharge rate varies spatially between 20 and 280 mm/year (Fig.11). A simplification has been introduced in the northwestern part of the model where groundwater flow presumably takes place only in the shallow, near-surface parts of the subsurface and runs ...
However, spline evaluation can also be reduced to a simple matrix multiplication, which is much easier to implement in a way that is compatible with the automatic differentiation used to compute the gradient during back-propagation. This is particularly simple for open uniform knot vectors and ...
across blocks within the first 10 trials or so, and differentiation in learning trajectories across blocks appears to begin to plateau after 50 trials or so. Thus, although that research is unpublished, a block length of 50 trials was hit upon and appears to have served well in the interim....
Some of the significant process pairs between the 2 diseases are ‘positive regulation of MHC class II biosynthetic process’ (GO:0045348), ‘negative regulation of osteoclast differentiation’ (GO:0045671), ‘positive regulation of B cell proliferation’ (GO:0030890) and ‘fibrinolysis’ (GO:...
and neuronal circuits that occur in response to experience. It is also part of the brain’s adaptive response to chronic stress. Although plasticity changes are occurring in the brain all the time in everyone—which is how cell differentiation, development, and learning take place—plasticity chang...