211 karma · joined June 11, 2017
I get that the uniform grid is not an open sequence, just want to understand which kind of convergence do you have in mind. For which class of functions?
But the question was more about, say, should we close now all the MD schools and replace them by the alternative path you describe?
Its not very clear cut, there are some blurry boundaries, but still, would you want people to use that hospital?
This editorial spends a page and a half talking about it without a single example.
In your case, X would be the number of "nice to have constraints" that are satisfied. It would be simpler to formulate the these conditions in some SMT language, rather than in SAT directly.
This is probably the largest practical application domain, which also drives most of the academic development.
> Accustomed to meeting the highest of standards, he saw his dissertation as mediocre. Quietly, Venkatesh started eyeing the exit ramps, even taking a job at his uncle’s machine learning startup one summer to make sure he had a fallback option.
edit: It could get to 59,000 if these people actually worked 53 hours a week.
>>>According to the Bureau of Labor Statistics (BLS), the median wage for workers in the United States in the fourth quarter of 2017 was $857 per week or $44,564 per year for a 40-hour workweek.
[1] https://www.thebalancecareers.com/average-salary-information...
>>>This list focuses on notation as "a series or system of written symbols used to represent numbers, amounts, or elements in something such as music or mathematics." This is distinct from a language (computer or natural), interface, diagram, visualization, or tool, but may overlap with them.
Not sure how this is distinct from a language. She has an example of a notation for knots. This is a way to describe knots. Now, consider for example a notation for describing binary valued functions of a binary arguments. We have tables, the boolean algebra, with DNF and CNF, decision tree representation, and for larger functions - VHDL, for example. All are languages.
In fact, distinguishing between "language" and "notation" looks like a good example of "bad notation".
But if we do talk about that though. Yes, science proceeds by modifying or sometimes totally abandoning the assumptions. No silver bullet, and the point is to assume as little as possible.
In general, if things "just work", its not a reason to abandon attempts to understand them. Things "just work" until they don't, especially in finance.
Consider two guys. Guy A, he predicts that the sun rises every day and is there until dusk. It "works", and so, as the joke goes, he does not touch anything. And guy B, he knows physics and has telescopes. And he can predict the solar eclipses. He knows the failure modes of the model of guy A. Consider the difference between the two.
A model (and a learning algorithm) should be interpretable if we can clearly state the assumptions, and prove that under these assumptions, we get what we state we get.
We can predict the movement of the planets (short term). This is interpretable, because we only assume a model of 3d space, and Newton's laws(1). The rest is mathematics, which gives us elliptic trajectories, etc. The resulting predictions may be wrong, due to wrong assumptions, but the model is still interpretable.
Linear regressions, histograms, decision trees(2) are all interpretable. We know exactly what they do, under proper assumptions. Yes, these models can be sometimes manipulated. But we know this precisely because we know exactly what they do. Whether we should use these models, or statistics in general, in courts etc, is an ethical decision, and perhaps practical decision, similar to whether we should use the death penalty. Has nothing to do with interpretability.
With CNNs, at the moment we have very vague understanding of both the assumptions and the models. When we do have this understanding, we will likely also have better and simpler models.
Mathematics was always a tool for understanding reality. Proving is understanding. And it was pretty successful so far.
(1) and some other things -- the rest of the planets are far enough, etc. (2) given enough data wrt the size of the tree, under proper distributional assumptions.
For real time navigation, Waze type solution could work -- aggregation of real time data from users. Also, smart city projects have open traffic data APIs, although not sure wether there is something properly real time, or it something like hourly aggregates.
So that would be still a giant project, but data does not seem to be the bottleneck.
So she means that while the population is well educated, many do not choose the "right" education?
>>and even if it risks publishing an accidentally incorrect proof.
No. If a researcher has even a slightest doubt about the correctness of their proof, they should either spend the time to verify it or talk to an expert. There is no lack of experts in convex optimization in particular. Or, instead of publishing the proof, one could just say "we believe this is provable by these methods". But one can not try and shift the burden of verification to the readers, while claiming the results. This is not how trust is built.
So, not much surprise there. But they claim they can extract the smaller subnet, which could be useful. Except they only provide experiments with very small nets so far, as the comments on reddit point out.
I do not know much about the databases, but it I'd imagine its one of the backbones of the information age. In particular probably the efficiency aspects. It is a powerful material. And so as long as you come into the classroom and make it clear that today you are going to deal with something that makes the student more powerful, the students are going to listen, no matter which manner of delivery you choose. It may not always seem like this, but they are young adults, not little kids whom you need to trick into eating by stories or something.
Being an industry veteran, you likely have a great perspective on what works and why. The usual things, examples, critical distinctions of what could be a good idea and what could be bad, are useful. But whether its eventually provided as HTML or not, I don't think it matters.
Point is, the "flight crew"s and even the "pilots" are not the corporation. The corporation may easily sacrifice their privacy if its believed to contribute the bottom line. Even the CEO might be sacrificed. The really private things about a corporation are its finances, its tradeoffs of customer benefit vs "efficiency", its market segmentation policies, etc.
But do you read all the medical literature before going to a doctor when something just feels weird?
Or, somewhat differently, do you read the source code of all packages on your computer to ensure there is no malware?
I'm a universalist as much as I can, but there's a reason specialization, division of labor, results in productivity increase. Somewhat funny that Kant himself also argued for division of labour, just a year after publishing the Enlightenment article, [0].
[0] https://en.wikipedia.org/wiki/Division_of_labour#Immanuel_Ka...