func (s *LogSoftmaxLayer) ApplyR(v autofunc.RVector, in autofunc.RResult) autofunc.RResult {
return autofunc.PoolR(in, func(in autofunc.RResult) autofunc.RResult {
// See comment in Apply() for details on how this works.
maxIdx := maxVecIdx(in.Output())
maxValue := autofunc.SliceR(in, maxIdx, maxIdx+1)
exponents := autofunc.AddFirstR(in, autofunc.ScaleR(maxValue, -1))
expSum := autofunc.SumAllR(autofunc.Exp{}.ApplyR(v, exponents))
expLog := autofunc.Log{}.ApplyR(v, expSum)
denomLog := autofunc.AddR(expLog, maxValue)
return autofunc.AddFirstR(in, autofunc.ScaleR(denomLog, -1))
})
}
func (_ SigmoidCECost) CostR(v autofunc.RVector, x linalg.Vector,
a autofunc.RResult) autofunc.RResult {
logsig := autofunc.LogSigmoid{}
log := logsig.ApplyR(v, a)
invLog := logsig.ApplyR(v, autofunc.ScaleR(a, -1))
xVar := autofunc.NewRVariable(&autofunc.Variable{x}, v)
oneMinusX := autofunc.AddScalerR(autofunc.ScaleR(xVar, -1), 1)
sums := autofunc.AddR(autofunc.MulR(xVar, log), autofunc.MulR(oneMinusX, invLog))
return autofunc.ScaleR(autofunc.SumAllR(sums), -1)
}
func (_ CrossEntropyCost) CostR(v autofunc.RVector, x linalg.Vector,
a autofunc.RResult) autofunc.RResult {
return autofunc.PoolR(a, func(a autofunc.RResult) autofunc.RResult {
xVar := autofunc.NewRVariable(&autofunc.Variable{x}, autofunc.RVector{})
logA := autofunc.Log{}.ApplyR(v, a)
oneMinusA := autofunc.AddScalerR(autofunc.ScaleR(a, -1), 1)
oneMinusX := autofunc.AddScalerR(autofunc.ScaleR(xVar, -1), 1)
log1A := autofunc.Log{}.ApplyR(v, oneMinusA)
errorVec := autofunc.AddR(autofunc.MulR(xVar, logA),
autofunc.MulR(oneMinusX, log1A))
return autofunc.ScaleR(autofunc.SumAllR(errorVec), -1)
})
}
func (_ DotCost) CostR(v autofunc.RVector, x linalg.Vector,
a autofunc.RResult) autofunc.RResult {
xVar := autofunc.NewRVariable(&autofunc.Variable{x}, v)
return autofunc.ScaleR(autofunc.SumAllR(autofunc.MulR(xVar, a)), -1)
}