SVM's were so popular, pretty much because they had a firm theoretical basis on which they were designed (or "cute math" as deep learners may call it). As Patrick Winston would ask his students (paraphrasing): "Did God really meant it this way, or did humans create it, because it was useful to them?". Except maybe for the LSTM, deep learning models are not God-given. We use them because, in practice, they beat other modeling techniques. Now we need to find the theoretical grounding to explain why they work so well, and allow for better model interpretability, so these models can more readily be deployed in health care and under regulation.
If some regulations shall require such explanation, the end result will be fake stories like parents tell to the children that Moon do not fall because it is nailed to the sky.
> machine learning is more concerned with making predictions, even if the prediction can not be explained very well (a.k.a. “a blackbox prediction”)
So in your example: an algo may explain that a car slows down, before taking a turn, because else it would likely crash. It may even get to a threshold ("under these weather conditions, anything over 55Mph is unsafe when taking a turn of such and such degree"). Statistics can help with that.
Welling is not asking for deep learning models to explain why a person got a cancer, but to explain its reasoning when it diagnoses a person with cancer ("I am confident, because in a random population of a 1000 other patients, these variables are within ..."). Statistics can help with that. It aligns with their mind set and tool set.
Regulations are cheated even with these kind of explanations, but that is for another story (black box models may provide some plausible deniability).
> Thus, for many applications, in order to successfully interact with humans, machines will need to explain their reasoning, including some quantification of confidence, to humans.
No doubtful there are cases when an explanation is easy. Often this is because we have a very solid model like physics of a car. In fact since we know the model, we do not need an explanation, we must demand that the algorithm follows the model or declare it unfit.
But how can we expect an explanation for a behavior in a critical situation on a road that was not explicitly programmed and when the algorithm decided to turn to a particular degree bases on a non-trivial inference? Similarly, when an algorithm decides if a patient needs an emergency operation or if they can wait, why can we expect an simple explanation especially for the patient with rare conditions when algorithm again must perform an inference, not a deduction from 1000 very similar cases?
The problem is to replace inept employees who believe "business decisions" are not scientific questions, so that over time there is a convergence to using the scientific method, with legitimate statistical rigor, when making a so-called business decision.
Generally speaking, the only people who want for there to be a distinction between a "business question" and a "scientific question" are people who can profit from the political manipulation that becomes possible once a question is decoupled from technological and statistical rigor. Once that decoupling happens, you can use almost anything as the basis of a decision, and you can secure blame insurance against almost any outcome.
This is why many of the experiments testing whether prediction markets, when used internally to a company, can force projects to be completed on time and under budget are generally met with extreme resistance from managers even when they are resounding successes.
The managers don't care if the projects are delivered on time or under budget. What they care about is being able to use political tools to argue for bonuses, create pockets of job security, backstab colleagues, block opposing coalitions within the firm. You can't do that stuff if everyone is expected to be scientific, so you have to introduce the arbitrary buzzword "business" into the mix, and start demanding nonsense stuff like "actionable insight" -- things that are intentionally not scientifically rigorous to ensure there is room for pliable political manipulation for self-serving and/or rent-seeking executives, all with plausible deniability that it's supposed to be "quantitative."
Yet another way is that data analytics platforms are built from the ground up with hard-wired priorty given to scaling out the ability to test multiple hypotheses without any attempt to correct the significance metrics for the multiplicity of testing (or, even subtler, for subject researcher degrees of freedom that further affect the multiplicity of testing). Often, the business stakeholders who are demanding such an "analytics" system aren't even aware of the statistical fallacies they are inexorably baking right into the platform itself (one might call this the "Hadoop disease", though it's not stricly the fault of Hadoop or Hadoop-like tools).
At any rate, I would say in the current climate of "analytics" in business environments, to a good first approximation, one can assume that "make it easy to understand" is exactly equivalent to "throw out any and all difficult yet rigorous science until the thing is cheap and easy, and then just use that."
What I've seen around this is analytics professionals hired under the pretense that their skills to produce accurate scientific conclusions will be used for the good of a business, yet having their conclusions and efforts dismissed for no good reason other than decision makers 'didn't get it' or otherwise just refused to heed the results. So why did they hire experts in the first place, then? To lend the company credibility that it doesn't really deserve? I'm sure lots of the reason for this type of thing is politically motivated, as you previously mentioned.
Besides, it is easy to get wrong explanation and, as Vladimir Vapnik in his 3 metaphors for complex world observed, http://www.lancaster.ac.uk/users/esqn/windsor04/handouts/vap... , "actions based on your understanding of God’s thoughts can bring you to catastrophe".