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Figure from [1]In the Advanced Matrix Factorization page, I have no listing for the phase transition section of the spectral clustering or its nonlinear cousin subspace clustering. Little did I know that Suresh Venkatasubramanian (from the GeomBlog fame) has written about it in his essay on clustering. In particular, he wrote this interesting entry entitled: Choosing the number of clusters III: Phase Transitions where he draws a connection with statistical
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My 2048 High ScoreSigns that you are addicted to 2048You play 2048 during your lunch break at school.You play 2048 during your planning period at school.You have convinced multiple students that they should try their hand at playing the most addicting game on the planet.You gush about the game to your coworkers until they start playing. You convince your sister that she should start playing 2048 so you will have someone to discuss strategy with.You take screen shots of your new high
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To go along with my last post, here is a video of the traffic simulation. The quality isn't great, but I'm browsing through some video recording software to find the perfect one. Any suggestions would be greatly appreciated! Until then, enjoy :)

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evangelizing the (digital) natives : Are The Chicago Cubs About to Be Historically Bad? A little t test to see if the Cubs really are as bad as some people claim. Great way to bring sports into the AP Stats class. tags: ap stats ap lessons stats statistics KSTF Teaching Fellowships | Apply to Be […]

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Portare in aula la storia della matematica significa certamente incuriosire e coinvolgere molto i bambini che, affascinati da una “magica” presentazione dell’insegnante, s’immedesimano nei tempi passati, ascoltano con attenzione e sperimentano con gusto mentre la disponibilità ad apprendere e la motivazione ad affrontare l’attività aumentano. Ma sono davvero solo questi i motivi per insegnare matematica […]

rlgordonma posted Generalizing an already tough integral on Math math math math baked beans and math

I did the case $p=1$ here. The generalization to higher $p$ may involve higher-order derivatives as follows: $$\begin{align}K_p &= \int_0^{\pi/2} dx \frac{x^{2 p}}{1+\cos^2{x}} = \frac1{2^{4 p-1}} \int_{-\pi}^{\pi} dy \frac{y^{2 p}}{3+\cos{y}} \end{align}$$ So define, as before, $$J(a) = \int_{-\pi}^{\pi} dy \frac{e^{i a y}}{3+\cos{y}} $$ Then $$K_p = \frac{(-1)^p}{2^{4 p-1}} \left [\frac{d^{2 p}}{da^{2 p}} J(a) \right ]_{a=0}$$ […]

2014-04-20 01:20:32

료칸 미키야에서 체크인을 끝내고 밖으로 나와 봤습니다. 외양 온천 메구리를 즐기기 전에 일단 마을의 이곳저곳을 좀 돌아다녀 보기 위해서… 역시 평상복을 입고 돌아다니는 사람들보다 유카타를 걸치고 있는 사람들이 훨씬 많았습니다. 유카타를 보면 머물고 있는 료칸이 어딘지도 알 수 있죠! 7개의 … Continue reading →Related Posts ?[교토 쿠라마 여행 05] 쿠라마 온천
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2014-04-19 21:42:47

Here the monotonicity of the EM algorithm is established. $$ f_{o}(Y_{o}|\theta)=f_{o,m}(Y_{o},Y_{m}|\theta)/f_{m|o}(Y_{m}|Y_{o},\theta)$$ $$ \log L_{o}(\theta)=\log L_{o,m}(\theta)-\log f_{m|o}(Y_{m}|Y_{o},\theta) \label{eq:loglikelihood} $$ where \( L_{o}(\theta)\) is the likelihood under the observed data and \(L_{o,m}(\theta)\) is the likelihood under the complete data. Taking the expectation of the second line with respect to the conditional distribution of
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2014-04-19 20:25:41

by @ulaulaman about #exoplanets #planetary_transit #kepler_mission #nasa #astronomy The search for extrasolar planets (or exoplanets) had its first success in 1991 with the discovery of some planets orbiting around the pulsar PSR1257+12(1, 2, 3), measuring the variations of the radio pulses coming from the star. The second important milestone in exoplanet research takes place in 1995, with the discovery around the star 51 Pegasi (a star like our Sun) of a Jupiter-like planet, found at a […]

2014-04-19 19:48:00

matthewmaddux posted How I Slayed The Mathematical Beast-Monster by Karla Gabruch on MatthewMaddux Education

Egan…Each semester, on the last day of class, I make prospective elementary school mathematics teachers hand in a Duo-Tang, which contains their weekly math homework and their weekly discussion points (one page responses based on required readings from our text). Ultimately, the Duo-Tang assignment is an ongoing collection of “work” intended to capture prospective elementary school math teachers’ thinking with respect to mathematics and mathematics education over the
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2014-04-19 16:08:00

Here is what I get when I analyze Peirce’s “giver of a horse to a lover of a woman” example along the same lines as the dyadic compositions. We may begin with the mark-up shown in Figure 19. (19) If we … Continue reading →

2014-04-18 22:00:35

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