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brent

582 karma · joined February 19, 2007

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brent··on Mathematics for Computer Science
Look at the version in the comment posted by joshma: http://courses.csail.mit.edu/6.042/spring12/mcsfull.pdf

You must not have been the only person to notice this. The definition is on pg 6 in the pdf above.

brent··on P vs NP on simple english wikipedia - feedback, please
I think your subset sum problem (the rock piles) is decent. However, for it to be useful I think you have to make it clear which class it is in (NP) and why (it is easy to check a solution and 2^n is not polynomial in n).
brent··on Surprises from numerical linear algebra (2010)
Numerical Linear Algebra by Trefethen and Bao is well regarded.
brent··on Facebook Graph Theory
This blog post seems to be copied from http://20bits.com/articles/graph-theory-part-iii-facebook/ without any attribution.

It was also posted on yc only two weeks ago (see http://news.ycombinator.com/item?id=2912073 for commentary).

brent··on Graph Theory: Part III (Facebook)
I don't understand the interpretation of the principal eigenvalue either. Perhaps there is a more suitable interpretation in the directed case, but I'm not sure of that either.

I think this method is generally known as eigenvector centrality, that is to say, the entries in the vector x are generally known as eigenvector centralities. I think this method is quite popular, but I do not know who uses it or how often.

brent··on Graph Theory: Part III (Facebook)
Under mild conditions of the undirected graph (basically that it is not bipartite and that it is connected) one can use the Perron-Frobenius theorem. So, to remove the ambiguity you are concerned with consider that you want an x s.t. all the entries in x are positive. Then PF guarantees that the largest eigenvalue of A has multiplicity one and its associated eigenspace is one-dimensional. PF also guarantees that the eigenvector associated with the largest eigenvalue has positive entries and is the only eigenvector with positive entries. So, you want the largest eigenvalue (which is positive) and the unique positive valued eigenvector associated with it. Finally, to obtain this eigenvector/value pair one can use the power method which this author recommends.
brent··on General factor of intelligence g, a Statistical Myth
Pardon my naivety, but what do you mean by "thatched airplanes"?
brent··on Most published research results are false
This is why different communities accept p-values at certain levels (typically <0.05). You have to live with some amount of uncertainty when the data generating mechanism is random... that is unfortunately the nature of the beast.
brent··on Major (unfixable) flaw found in P!=NP paper.
The claim is that the proof is unfixable. Proofs are either right or wrong. Good academics are supposed to checks proofs of their colleagues. There is no claim as to the merit of contributions made by Deolalikar. So, why exactly do these academics infuriate you?
brent··on "God's Number" is 20 - Rubik's cube has been "solved"
If you find Sudoku boring you just need to add more constraints. For example, try solving one by considering some ordering on the entries (say, Left-to-Right then Top-to-Bottom) and only allow yourself to fill in entries in that order... then time yourself!
brent··on Rate my startup: Gantto, easy to present Gantt charts on the web
Wait... hasn't this idea come and gone about 10 times in the last 10 years. I remember when I begged 37 signals to add this as a small feature about 4 years ago and they laughed it off. Also, some of the text in the biographies seem a bit exaggerated.
brent··on GazeHawk (YC S10) Does Eyetracking With Web Cams
Sounds like an amazing idea... strikingly similar to the idea I pitched to YC in an interview in November, 2006 :-/. I guess they didn't like our team or progress. Bummer.
brent··on Our Reddit Ad By The Numbers - Whiteyboard
I can't believe no one has mentioned this, but it seems to me the most important thing is how well you can erase the marker. Assuming it works well you should demonstrate this. I simply will not buy a whiteboard without knowing how well it will work over time. Also, I've used Georgia Pacific Mark-R-Board which costs about 1/3 of your product and it works just fine. That made me chuckle when I read the cost comparison in your FAQ.
brent··on Why I don't Trust Julian Assange
I can't claim to know who Clay Johnson is, but I am really interested in his low contribution to Wikipedia article length ratio.
brent··on Ask HN: What does $2000 in Web design/development buy you these days?
I think it would be interesting to compare 2 hours of output from this guy vs. 100 hours of output at prices mentioned in various posts.
brent··on A Non-Mathematical Introduction to Using Neural Networks
I'm not sure you've actually addressed his concern. I think the ability to use one (in an engineering sense) and get seemingly good results is separate from the issue of fully utilizing them. You are likely better off using a much more hands off tool that requires little knowledge of the underlying mechanism (to his point, d trees and svm).
brent··on Go To University, Not For CS
I cannot let comments like this stand. I have seen little difference between students from the top few schools and the rest. If you are only doing an undergrad I see little reason to hold these top 4 on such a pedestal. Any school in the top 20 or even probably 40 are more than a java school at the undergraduate level. The differences are marginal. However, if you plan to go to graduate school I would certainly try to attend one of the top 4 schools.
brent··on PhD Student gets quadrotor helicopter moving aggressively
Who do you think probably funded this? His advisor is funded by (at least) ONR, ARL, and DARPA.
brent··on Anand retains world chess championship title
My guess is he meant go and not go, the programming language, or go moku.
brent··on Academia is not Broken. We are.
What? There exists a "top 5" for any ranked list with 5 or more entries.

Anyways... I am sure he was referring to those 4 + either UIUC or Cornell.

brent··on HN Members' Workspaces
It appears you likely have neighbors working nearby. How do they feel about the Grados?
brent··on Ubuntu 10.04: The Perfect Consumer Operating System?
Once again: http://news.ycombinator.com/item?id=928726
brent··on New Chatroulette Stats: 13% are Perverts
The 95% CI is going to be roughly 15-31%.
brent··on Proposal: "{" and "}" to be known as openstache, closestache
I'm not Danish, but on their behalf I'd like to note that these are called Tuborgs after the beer company. Apparently their delivery trucks had a profile that looked like the braces.
brent··on Learning About Statistical Learning
My advice is not to try to read through these books (like Elements or Bishop's book). If I were to learn the topic from scratch again * I would:

1. Learn basic terminology (basically, skim the chapters and understand roughly what the topics are)

2. Work on a problem in depth. You are probably interested in a certain area or type of problem.

a. Read the relevant chapters in detail.

b. Pick up the necessary math along the way using additional references. This way you are motivated to learn it (whether it be calculus, probability, or linear algebra). E.g., it would be hard to approach McDiarmid's Inequality and be able to imagine its use. However, if you run across it in a book/paper you'll understand the context.

c. Lastly, checkout recent NIPS, ICML, and JMLR papers on the topic (nips.cc, jmlr.org, and icml isn't centralized, but each conference can probably be found online).

* - I am a graduate student and have been studying statistical machine learning for the last 3 years.

brent··on Enough
I see. I didn't realize people only checked email at work on weekdays. I was thinking more like 365 x 24 (or 16) x 60 / 5.
brent··on Enough
How did this guy compute 24,000?
brent··on The Gambler Who Blew $127 Million
I don't think gamblers suing casinos for millions lost is purely an American phenomenon. There have been similar cases (perhaps a less substantial magnitude) in at least France, England, Australia, and South Korea.
brent··on The 17x17 challenge. "Worth $289.00. This is not a joke."
> That's difficult

Agreed, but that is why it would be worth $1M :-).

brent··on The 17x17 challenge. "Worth $289.00. This is not a joke."
A related and unsolved question (and thus legitimate) could be: what is the smallest c such that 1000x1000 is c-colorable.
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