func (g *VariationalGenerator) klDivergence(mu, logVar []float64) float64 · KL

Read the equation

This relation defines KL in the source section “func (g *VariationalGenerator) klDivergence(mu, logVar []float64) float64 · KL”. Uses logarithmic scaling; its base and the positivity of its argument matter. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read KL as the quantity being defined or updated by this relation.

2. Uses logarithmic scaling; its base and the positivity of its argument matter.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

	return g.ActivationLayer(hidden, "sigmoid")
}

// klDivergence computes KL divergence from N(0,1)
func (g *VariationalGenerator) klDivergence(mu, logVar []float64) float64 {
	kl := 0.0
	for i := range mu {
		// KL = -0.5 * sum(1 + log(σ²) - μ² - σ²)
		kl += -0.5 * (1.0 + logVar[i] - mu[i]*mu[i] - math.Exp(logVar[i]))
	}
	return kl / float64(len(mu))
}

// Forward performs forward pass
func (g *VariationalGenerator) Forward(input []float64) (*generators.GeneratorOutput, error) {
	state := g.GetState()

	// Encode

KL = -0.5 * sum(1 + log(σ²) - μ² - σ²)

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