This question might be somewhat general and not completely relevant to this forum but I think here is the most relevant place to ask the question.

Currently, deep learning, RL and generally black-box approaches are gaining much attention and many practitioners and academia are using these problems to solve their optimization problems. For example, in real-world prediction problems, LSTM artificial neural networks (ANNs) are common which are black-box algorithms with good accuracy but in many cases, there is no proof of convergence. However, in the field of OR/MS, the most common approaches are Time Series approaches like ARIMA. etc. Or, for example, decision trees are more popular in OR/MS because they are interpretable but with lower accuracy compared to deep learning. In this situation, AI algorithms enable researchers to use different sources of data like historical data, crawling webpages, reading news, etc. and use all of them to predict while conventional approaches in OR/MS do not let us to this.

To my view, the computer science community is using approaches that are more acceptable in the industry and more applicable while OR/MS is sacrificing applicability in real-world cases to solve problems with convergence proof. For example, many papers use linear regression with unknown coefficients because they can prove that their algorithm can converge to the true values of coefficients (if the true model is also linear).

These are my views based on papers published in Management Science, Operations Research, and M&SOM. Some people may consider this question a subjective one and wants to close this question but it is really confusing question that I cannot find the justification for some times.

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    $\begingroup$ Real world O.R. work doesn't follow lockstep with journals. Many real-world O.R. people aren't fixated on convergence proofs, and care whether the son of a bitch actually works well in practice, proof or no proof. $\endgroup$ – Mark L. Stone May 19 at 23:05
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    $\begingroup$ For sure, that is true. But this means there is a huge gap between industry and top journals. So, what is the purpose of research in the field? $\endgroup$ – Katatonia May 19 at 23:08
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    $\begingroup$ In academia, to get Ph.D., tenure, promotions, funding, prestige, etc. In real industry, usually to solve problems (but publications impress people). Some of the research published in top journals is immensely useful in practice, most of it is not .I try to optimize (optimally balance) end to end rigor (usefulness, correctness), all the way through to implementation and real-world complexities and unknowns.. Most of academia goes for absolute rigor for some portion of a problem, but often (implicit) huge hand-waving or non-rigor at the beginning or ending step connection to real world. $\endgroup$ – Mark L. Stone May 19 at 23:15

[Fair warning: old guy rant follows.]

I'm not sure that the computer science community's reliance on ML models (to the extent that generalization holds) is necessarily a good thing.

  1. I've seen references to published research (can't recall any details now) on retrofitting interpretability to ML models, ostensibly because industry people are uncomfortable with the models if they cannot understand at some level the model logic.
  2. A growing issue in industry (and government) is model bias. My impression is that model bias is easier to detect and either fix or justify (as not really being bias) with interpretable models.
  3. ML models can be prone to overfitting. With an interpretable model, you can get a clue that overfitting occurred when the interpretation defies common sense / logic / the "sniff" test. With an ML model, you can put in penalty terms or something to try to combat overfitting, but it's a guessing game (add a lasso term and hope for the best).
  4. Sometimes, in the real world, you don't have a ton of (reliable) data. My trust in a statistical model is based on a combination of the plausibility of the assumptions (normality, IID observations, whatever) and having a "decent" sample size. My trust in an ML model (to the extent I have any) is based on it being trained on a really, really big sample.
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