obastani

9 ms·

31.
by obastani 6y ago
Take a look at nonstandard calculus: https://en.wikipedia.org/wiki/Nonstandard_calculus It is based on the hyperreal numbers: https://en.wikipedia.org/wiki/Hyperreal_number Practically speaking, I
32.
by obastani 6y ago
The result in the Stanford paper is very likely biased due to the false positive rate of the test they used: https://statmodeling.stat.columbia.edu/2020/04/19/fatal-flaw...
33.
by obastani 7y ago
I think the market prerequisites are a key point overlooked by the article. There has to be some application where a low-performing version of the invention is already useful for it to be worth it to develop better-performing ones. For exam
34.
by obastani 7y ago
The first three can reasonably be thought of as defining linear transformations. For linear systems of equations A x = b, x is an unknown vector in the input space that is mapped by A to b. Both covariance matrices and Hessians are more nat
35.
by obastani 7y ago
Part of the challenge with linear algebra is that a lot of the basics are somewhat dry, since they serve mostly as a way to organize computation -- e.g., a system of linear equations can be expressed as Ax <= b, where A is a matrix, b is
36.
by obastani 7y ago
That might just be because didn't schedule risky operations on those days. It's hard to establish causation without a randomized trial.
37.
by obastani 7y ago
That is not actually the way to define e^x for complex numbers. There are a few ways you can do so. The most natural way is as the unique solution to the differential equation df/dx = f The solutions are e^x + const; requiring f(0) = 1
38.
by obastani 7y ago
That's not actually true. There exist functions of a single real variable that have derivatives at the origin that are all zero, yet are nonzero. For an example, see the following: https://en.wikipedia.org/wiki/Tay
39.
by obastani 7y ago
This is a naive question, but would it also fix the problem if there was a video codec that could incrementally compress each frame? And if so, do you think such a codec is feasible to design? I don't know much about video codecs so th
40.
by obastani 7y ago
Based on my understanding, I don't think there is any particularly compelling evidence that there is an entirely new layer beneath what we know. But it's always a possibility. For example, it wouldn't be too surprising if mod
41.
by obastani 7y ago
I don't have real knowledge of gravity, but I can speculate a bit. First, I don't think the blackbox argument necessarily makes sense. If the black box contains a massive point particle, and this particle moves from the left side
42.
by obastani 7y ago
The more common usage is 2a/b, as you point out. I believe "success" is specifically derived from this meaning of "succeed", not 1a. Typically, securing a position in a company is still in the sense of definition 2a
43.
by obastani 7y ago
One idea would be to let {0, 1} be the integers mod 2. Then, AND is multiplication (i.e., a AND b = a b, since a b = 1 iff a = b = 1), NOT is inversion (i.e., NOT a = 1 - a), and OR follows from the previous two definitions (i.e., a OR b =
44.
by obastani 7y ago
The misconception is that p_1 × p_2 × ... × p_n + 1 has to be prime at all. It can very well be the case that p_1 × p_2 × ... × p_n + 1 is composite.
45.
by obastani 7y ago
I'm not sure, and this is a lot of speculation, but I feel like it has to do with the fact that mass/energy is conserved over time (but not in space) [1]. The mass now corresponds to the mass in the past/future, which, for ex
46.
by obastani 7y ago
That's what I meant -- thanks for the catch!
47.
by obastani 7y ago
I'm not an expert, but I don't think that quote is quite right. There is still a notion of time, there is just no notion of a direction of time. For example, if you go deep into empty space, then one patch of space looks just like
48.
by obastani 7y ago
Waymo is almost certainly using a ton of computer vision in its cars. Vision is needed to classify objects on the road, predict the behaviors of pedestrians, bikers and other drivers, read road signs and traffic lights, etc. As far as I can
49.
by obastani 8y ago
Entropy is causal of the arrow of time. In deep space, going forward on time doesn't look that different than going backward in time. Going faster forward in time also doesn't look that different than going slowly forward. The dif
50.
by obastani 8y ago
Any chance you could you share some references on this kind of type inference? It sounds very interesting!
51.
by obastani 8y ago
The GP is saying that Walmart avoided providing these benefits, instead paying it's employees so little money that they qualified for welfare, which is paid by th taxpayer, not Walmart. Since you are anyway subsidizing Walmart, might a
52.
by obastani 8y ago
Considering that Dragon is based on machine learning (hidden Markov models, or HMMs, to be exact) [1], I'm not sure what point you're trying to make. In any case, I used Dragon in the late 90's, and it was terrible, whereas G
53.
by obastani 8y ago
Machine learning has been used for more than two decades in ATMs to perform optical character recognitions for automatic processing of checks [1]. I believe it is used by the post office as well. It is used by PayPal and other financial ser
54.
by obastani 8y ago
I don't know myself, but here are some possible answers: https://mathoverflow.net/questions/114034/learning-path-for-... Edit: Here is another overview that seems good: https://www.math.ucdavis.edu
55.
by obastani 8y ago
The "Background and history" section of the following article gives a very high-level idea of Grothendieck's contribution: https://en.wikipedia.org/wiki/Weil_conjectures
56.
by obastani 8y ago
It's not at all obvious that "if you don't train for it, it won't learn it". Humans do not at all learn in this way: we are very good at adapting existing knowledge to solve new tasks, and relatedly at learning new
57.
by obastani 8y ago
You can absolutely visualize why [1, 0] and [-1, 0] is not a basis for R^2! The problem is if you plot them in R^2, then they and the origin all lie on a single line. No matter how you sum copies of these vectors, you can never "escape
58.
by obastani 8y ago
So did a lot of rocket companies, until SpaceX came along and revolutionized the market. As far as I see it, Tesla is building a state-of-the-art driver assist product, but the approach they are taking is unlikely to reach full autonomy for
59.
by obastani 8y ago
In principle I agree with what you are saying. We have to be a bit careful, however, since past financial history may have itself been biased by prejudice, e.g., if you were unfairly denied a job based on your race. Of course, we sometimes
60.
by obastani 8y ago
This is what makes fairness so challenging. There isn't a clear place to draw the line, where certain covariates are permitted and others are not. Intuitively, what you are saying makes sense---your financial situation is a consequence

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