Star Wars - Retold (by someone who hasn’t seen it)
Star Wars: Retold (by someone who hasn't seen it) from Joe Nicolosi on Vimeo.
Hurray for the internet - I haven't laughed that much for a while!
Sunday, February 15, 2009
Sunday, February 8, 2009
only self-teaching has any lasting value
"only self-teaching has any lasting value" is a quote from this essay by John Gatto,
"Why Schools Don't Educate".
My own thoughts on this topic are in (1) a short essay on exams - "everyone should get an A" - which notes how exams interrupt education; and (2) a one-page suggestion on "how to teach".
"Why Schools Don't Educate".
My own thoughts on this topic are in (1) a short essay on exams - "everyone should get an A" - which notes how exams interrupt education; and (2) a one-page suggestion on "how to teach".
Saturday, January 31, 2009
Gaussian Processes are ill-conditioned (Example)
Someone asked me "why did you say in the Gaussian processes tutorial that Gaussian processes are ill-conditioned?" Here is an answer in the form of a tiny exercise.
Take the simplest case where the function is just a constant.
y(x) = Y for all x. (Y is Gaussian distributed and not known a priori)
Make a GP with the appropriate covariance function.
Now
(1) think about the inference of the GP given data {x,t}. (Not very difficult is it?)
(2) see what happens when you use the standard GP matrix inversion formalism to solve the problem. What is the well-conditioned-ness of the matrix you must invert?
Take the simplest case where the function is just a constant.
y(x) = Y for all x. (Y is Gaussian distributed and not known a priori)
Make a GP with the appropriate covariance function.
Now
(1) think about the inference of the GP given data {x,t}. (Not very difficult is it?)
(2) see what happens when you use the standard GP matrix inversion formalism to solve the problem. What is the well-conditioned-ness of the matrix you must invert?
Friday, January 9, 2009
Soaring, Cryptography and Nuclear Weapons

Please go to nuclearrisk.org and read renowned cryptographer Martin Hellman's article Soaring, Cryptography and Nuclear Weapons.
If you feel the urge to pass the message on, pass it on.
Saturday, January 3, 2009
Why traders make bad investments
I heard this on Radio 4 - Paul Wilmott's explanation of why traders will rationally put their bank's money into suboptimal risky investments.
(Of course this isn't "the" reason why bad investments happen. Rather, this cartoon presents a simple world in which we can see why traditional incentives for employees lead to bad outcomes.)
Imagine Joe is a trader at a fancy investment bank where all the many other traders are lemmings who unanimously invest over the next 6 months in deal A, which has a 50% chance of making a big return, and a 50% chance of not. Joe is a wise trader and has identified deal B, which has a 75% chance of making a big return for his bank. Deals A and B are independent random variables. What should Joe do with the bank's money?
Well, we need to specify Joe's utility function, which is dominated by his bonus. The rule at his bank is that Joe gets a huge bonus if the bank makes a big return, AND Joe's chosen investment made a big return. Otherwise, no bonus.
If Joe invests in deal A (like all the other lemmings alongside whom he works) then he has a 50% chance of getting a huge bonus.
If Joe instead invests his relatively small part of the bank's money in deal B, then he will get a bonus only if _both_ deal A and deal B come out as successes - because the bank will get a big profit only if deal A succeeds. So Joe has a 37.5% chance of getting a big bonus.
So Joe's rational decision is to invest the bank's money in deal A, the inferior investment.
(Of course this isn't "the" reason why bad investments happen. Rather, this cartoon presents a simple world in which we can see why traditional incentives for employees lead to bad outcomes.)
Imagine Joe is a trader at a fancy investment bank where all the many other traders are lemmings who unanimously invest over the next 6 months in deal A, which has a 50% chance of making a big return, and a 50% chance of not. Joe is a wise trader and has identified deal B, which has a 75% chance of making a big return for his bank. Deals A and B are independent random variables. What should Joe do with the bank's money?
Well, we need to specify Joe's utility function, which is dominated by his bonus. The rule at his bank is that Joe gets a huge bonus if the bank makes a big return, AND Joe's chosen investment made a big return. Otherwise, no bonus.
If Joe invests in deal A (like all the other lemmings alongside whom he works) then he has a 50% chance of getting a huge bonus.
If Joe instead invests his relatively small part of the bank's money in deal B, then he will get a bonus only if _both_ deal A and deal B come out as successes - because the bank will get a big profit only if deal A succeeds. So Joe has a 37.5% chance of getting a big bonus.
So Joe's rational decision is to invest the bank's money in deal A, the inferior investment.
Labels:
decision theory,
investment,
probabilities,
risk
Tuesday, November 18, 2008
A glimpse of Dubai
Saturday, November 15, 2008
Typo hunting
I finished the book Sustainable Energy - without the hot air a week ago, and got the proofs today. I promptly managed to find a couple of small typos that I hadn't spotted before. Nothing too bad, happily. Unlike the English-speaking makers of this road sign in Swansea...
The Welsh translation translates back as "I am not in the office at the moment. Please send any work to be translated."
The Welsh translation translates back as "I am not in the office at the moment. Please send any work to be translated."
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