(A) Bayesian network representing the joint distribution of y and its parents; (B) factor graph for a logistic regression for the conditional distribution of y given its parents. Let us assume that all variables are binary. Given a separate function fi(y,xi) for each binary variable xi, ...
nodeRelSize number 4 Ratio of node circle area (square px) [2D] or sphere volume (cubic px) [3D] per value unit. ✔️ ✔️ ✔️ ✔️ nodeVal number, string or func val Node object accessor function, attribute or a numeric constant for the node numeric value (affects nod...
Square mapping graphTreeCycleComponentLet R he a ring with identity. The square mapping graph of R is a digraph Gamma(R) defined on the elements of R and with an edge from a vertex a to a vertex b if and only if a(2) = b. Let M-2(Z(p)) he the 2 x 2 matrix ring over ...
Table 2 Test performance of different models on six regression benchmarks of physical chemistry and quantum mechanics. The first five models are supervised learning methods, and the last six are self-supervised methods. The mean and standard deviation of test root mean square error (for ESOL, Fr...
Machine learning plays an increasingly important role in many areas of chemistry and materials science, being used to predict materials properties, accelerate simulations, design new structures, and predict synthesis routes of new materials. Graph neural networks (GNNs) are one of the fastest growing ...
You can move(x&y) or change scale(x&y) of the function on graph! formula.applyTransformMove(3f,2.5f);formula.applyTransformScale(1.5f,1.5f); MultiFormula You can also draw multi functions together. publicclassHeartGraphFormulaextendsAXGraphMultiFormula{@Overridepublicfloat[]multiFunction(floatx...
The directed power graph of a group G is the digraph with vertex set G, having an arc from y to x whenever x is a power of y; the undirected power graph has an edge joining x and y whenever one is a power of the other. We show that, for a finite group, the undirected power ...
If we define \textbf{H}_0 = \textbf{X}, we then have that \textbf{Y} = \Psi _{\mathcal {G}}(\textbf{X}; \varvec{\Theta }) = \textbf{H}_L, where an intermediate \ell -th layer of the GCN is given by \begin{aligned} \textbf{H}_{\ell +1} = \sigma (\bar{\textbf...
nodeRelSize([num]) Getter/setter for the ratio of node circle area (square px) per value unit. 4 nodeVal([num, str or fn]) Node object accessor function, attribute or a numeric constant for the node numeric value (affects circle area). val nodeLabel([str or fn]) Node object accesso...
Note that in the KK algorithm the penalty for violating a given length constraint is inversely proportional to square of the desired edge length. In this way the contraction strategy manages to allocate more importance to the k-nearest neighbors edges. Note also that the contraction does not ...