-- Meaning follows usage.
Do you think a peer-reviewd publication is formal enough to warrant precise language? These publications are not only read by specialists in the field. I use automatic differentiation in my daily work, but I'm not familiar with machine learning. Thus I am very confused when "backpropagation" is used to mean an optimization algorithm.
EDIT: It is as if physicists used the term "special relativity" to talk about "quantum mechanics" because, after all, quantum mechanics happens in Lorentzian spacetime. Now for specialists of quantum physics it may make sense, since they are using "special relativity" to distinguish it from fancier quantum theories that combine field theory with GR. But for normal people it would be certainly misleading. Using "backpropagation" to include optimization has the same feeling.
venturebeat.com
Not the worst, but we're not talking Nature or Spectrum here.
> Another disadvantage of backpropagation is its tendency to become stuck in the local minima of the loss function. Mathematically, the goal in training a model is converging on the global minimum, the point in the loss function where the model has optimized its ability to make predictions.
"Backpropagation" is the method how to compute the gradient of the weights with respect to a loss function. But the article repeatedly uses the term as if it was the whole optimization algorithm, running into local minima.