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A typical loss metric in regression problems
Discussing the primal computation
Task: Backward propagate cotangent information
Relevant for backpropagation in Neural Networks (as part of Deep Learning)
Often not interested in reference solution cotangent
General vector-Jacobian product (pullback rule
Finding a closed-form expression for the Jacobian
Changing to index notation
Back to symbolic notation
The other Jacobian
Plugging Jacobians into vJp rule
Full Pullback rule
Some remarks
Outro