public class MatrixDeterminantVertex extends DoubleUnaryOpVertex implements Differentiable
Gradient calculations (and thus gradient-based optimisations) will fail if the determinant is 0.
Reverse derivatives are implemented according to https://www.cs.ox.ac.uk/files/723/NA-08-01.pdf
Forward mode differentiation is not implemented due to requiring a tensor trace, which is not yet implemented
INPUT_VERTEX_NAME, inputVertex| Constructor and Description |
|---|
MatrixDeterminantVertex(DoubleVertex vertex) |
| Modifier and Type | Method and Description |
|---|---|
PartialDerivative |
forwardModeAutoDifferentiation(java.util.Map<Vertex,PartialDerivative> derivativeOfParentsWithRespectToInput) |
protected DoubleTensor |
op(DoubleTensor value) |
java.util.Map<Vertex,PartialDerivative> |
reverseModeAutoDifferentiation(PartialDerivative derivativeOfOutputWithRespectToSelf) |
calculate, getInputVertexabs, acos, asin, atan, atan2, ceil, concat, cos, div, div, divideBy, divideBy, equalTo, exp, floor, getValue, greaterThan, greaterThanOrEqualTo, lambda, lambda, lessThan, lessThanOrEqualTo, loadValue, log, logGamma, matrixDeterminant, matrixInverse, matrixMultiply, max, min, minus, minus, multiply, multiply, notEqualTo, observe, observe, permute, plus, plus, pow, pow, reshape, reverseDiv, reverseMinus, round, saveValue, setAndCascade, setAndCascade, setValue, setValue, setWithMask, setWithMask, sigmoid, sin, slice, sum, sum, take, tan, times, times, toGreaterThanMask, toGreaterThanMask, toGreaterThanOrEqualToMask, toGreaterThanOrEqualToMask, toInteger, toLessThanMask, toLessThanMask, toLessThanOrEqualToMask, toLessThanOrEqualToMask, transpose, unaryMinusaddChild, addParent, addParents, equals, eval, getChildren, getConnectedGraph, getDegree, getId, getIndentation, getLabel, getObservedValue, getParents, getRank, getReference, getShape, getState, getValue, hashCode, hasValue, isDifferentiable, isObserved, isProbabilistic, lazyEval, observe, observeOwnValue, print, print, removeLabel, save, setAndCascade, setLabel, setLabel, setParents, setParents, setState, setValue, toString, unobserveclone, finalize, getClass, notify, notifyAll, wait, wait, waitwithRespectToSelfcontradictsObservationgetObservedValue, isObserved, observe, unobservepublic MatrixDeterminantVertex(DoubleVertex vertex)
protected DoubleTensor op(DoubleTensor value)
op in class DoubleUnaryOpVertexpublic PartialDerivative forwardModeAutoDifferentiation(java.util.Map<Vertex,PartialDerivative> derivativeOfParentsWithRespectToInput)
forwardModeAutoDifferentiation in interface Differentiablepublic java.util.Map<Vertex,PartialDerivative> reverseModeAutoDifferentiation(PartialDerivative derivativeOfOutputWithRespectToSelf)
reverseModeAutoDifferentiation in interface Differentiable