Crash Course on Basic Statistics
Basic Probability 1.1 Basic De nitions Trials? Probability is concerned with the outcome of tri-als.? Trials are also called experiments or observa-tions (multiple trials).? Trials refers to an event whose outcome is un-known. Sample Space (S)? Set of all possible elementary outcomes of a trial.? If the trial consists of ipping a coin twice, the
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Thinking fast or slow? A reinforcement learning approach
cbmm.mit.eduwkool@fas.harvard.edu wouterkool.com *** p < 0.001 Contact and details Conclusion Cost-benefit arbitration between multiple RL systems Flexible adapation based on reward-advantage
Tutorial on Linear Algebra - Massachusetts Institute of ...
cbmm.mit.eduLinear Algebra When is a matrix invertible In general, for an inverse matrix −1to exist, has to be square and its’ columns have to form a linearly independent set of vectors –no column can be a linear combination of the others. A necessary and sufficient condition is that det ≠0.
Crash Course on Basic Statistics
cbmm.mit.eduIn a small sample of data (less than 25 or so), the sample median tends to do a poor job of estimating the population median.? For task-time data the geometric mean tends to provide a better estimate of the pop-ulation’s middle value than the sample median. Mode? The most frequently occurring value.? Is useful in describing ordinal or ...
Deep Learning Tutorial - Massachusetts Institute of Technology
cbmm.mit.eduNo guarantee that the desired MLP can actually be found with our chosen learning method (learnability). Two motivations for using deep nets instead (see Goodfellow et al 2016, section 6.4.1): Statistical: deep nets are compositional, and naturally well suited to …
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hea-www.harvard.eduFrom elementary probability theory we know that the mean value of the Gaussian is a. Let us estimate the mean value. The likelihood equation for ˆa is 0 = @` @a ˆa = @ @a " 1 2 Xn i=1 (x ... Comparison to Standard Frequentist Statistics • The probability distributions from which the data points are drawn must be known to apply likelihood ...