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\lecture{Machine Learning}{HW00: Survey and basic concepts}{CS 689, Spring 2015}

% IF YOU ARE USING THIS .TEX FILE AS A TEMPLATE, PLEASE REPLACE
% "CS 726, Fall 2011" WITH YOUR NAME AND UID.

Hand in via moodle at: \url{https://moodle.umass.edu/course/view.php?id=20836}.
Remember that only PDF submissions are accepted.  We encourage using
\LaTeX\ to produce your writeups.  See \verb+hw00.tex+ for an example
of how to do so.  You can make a \verb+.pdf+ out of the \verb+.tex+ by
running ``\verb+pdflatex hw00.tex+''.

\section{Student Survey}

Please note the following information on your assignment:

\bee
\i Which of the following courses have you taken:
     Differential calculus;
     Integral calculus;
     Multivariate calculus;
     Linear algebra;
     Probability and statistics;
     Artificial intelligence;
     Algorithms;
     Computer vision;
     Image processing;
     Natural language processing;
     Robotics;
     Optimization (linear, quadratic, convex, etc.)

% ANY LINE BEGINNING "%" IS A COMMENT.  YOU CAN UNCOMMENT THE BELOW
% TEXT AND FILL IN YOUR OWN.
% \begin{solution}
%   I have taken all of these classes!  (Some of them more years ago
%   than he would really like to admit.)
% \end{solution}

\i List a few (research/CS/math/whatever) topics that interest you.

% \begin{solution}
%   I am is interested in language, machine learning and recommender systems!
% \end{solution}

\i How would you rate your programming skills (1-10, 10 best)?  How would you rate your math skills?

% \begin{solution}
%   Programming: 8
% 
%   Math: 10
% \end{solution}

\i What are your goals in this class?

% \begin{solution}
%   To teach you all about machine learning and have fun doing so!
% \end{solution}


\ene

\section{Additional Exercises}


The following are true/false questions.  You don't need to answer the
questions.  Just tell us which ones you can't answer confidently in
less than one minute.  (You won't be graded on this.)  If you can't
answer at least $8$, you should probably spend some extra time outside
of class beefing up on elementary math.  

\bee
\i $\log x + \log y = \log (xy)$
\i $\log [ab^c] = \log a + (\log b) (\log c)$
\i $\ddx \sigma(x) = \sigma(x)\times(1-\sigma(x))$ where $\sigma(x) = 1/(1+e^{-x})$
\i The distance between the point $(x_1,y_1)$ and line $ax + by + c$ is ${(ax_1 + by_1+c)}/{\sqrt{a^2 + b^2}}$
\i $\ddx \log x = - \frac 1 x$
\i $p(a \| b) = p(a,b) / p(b)$
\i $p(x \| y,z) = p(x \| y) p(x \| z)$
\i $C(n,k) = C(n-1, k-1) + C(n-1, k)$, where $C(n,k)$ is the number of ways of choosing $k$ objects from $n$
\i $\norm{\al \vec u + \vec v}^2 = \al^2 \norm{\vec u}^2 + \norm{\vec v}^2$, where $\norm{\cdot}$ denotes Euclidean norm, $\al$ is a scalar and $\vec u$ and $\vec v$ are vectors
\i $\ab{\vec u\T\vec v} \geq \norm{\vec u} \times \norm{\vec v}$, where $\ab{\cdot}$ denotes absolute value and $\vec u\T\vec v$ is the dot product of $\vec u$ and $\vec v$
\i $\int_{-\infty}^{\infty} \ud x \exp[-(\pi/2) x^2] = \sqrt{2}$
\ene

% \begin{solution}
%   I think I can answer them all!
% \end{solution}

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