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  1. Midterm the Since Topics ÷ based Instance and classification ] learning NN . regression Kernel . mgohssien ... ] ' , margin than Peru " learning , . .←dy←u,¢ online approaches trick kernel kernel based ^ , SVM . K means . - ] unsupervised Learning PCA . GMM e for GMM EM . optimal Classifier structural models Bayes . ] Bayes Naive ' ' Nets Bayes . learning Deny . ÷ N nearest neighbors Predict of K . using avg . . a a € • . . : =L distance functions Possible Euclidean . Manhattan - other .

  2. tradeoff K ? function of Bids 1 Variance as discontinuities Note has : KNN regression . ke-ssiacldsfhdt.tn ' ' nearest H ' ' neighbors s . function Given Kernel kx , xq ) i&Vkt ( ×i yc . , I = , i#xx ' dsl bandwidth Kernel d : b. variance exyf.lt#lh) ( ) kernel K : Gaussian ' ' = i. xq , Boxcar kernel others ,

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  4. nt § , ,L(w , xi ) : Todd C # Minimize njn = year - . + - yx D= %LCx , |¥w4w,xl=d ← ohfinud ) nlcx a- Batch : hinge min 't "l 't it ,t{ - ' , .l±c]%.xi{ Illydwct w 7 .x P=tnasq)forh loss :#

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  8. best that result nesters The the : Big u give use ... , , K eigenvectors , reconstruction of the are ← flex . .xiT eigenvalwes with areyngartionoel the largest The egenralms . data onto each the of the to projected variance ui , . 's Gin Generative ' process . catch Ke Sampler class - ^ a Ek ,\ data ~N( sample X yk . , . , , : Likelihood S ;) , top Gilt , ,§ Pcxiiol = ; , multimodal lets angneseet complex why GMM : you , distributions . Et Motivation old unwed ' GMM has ° xe zi . , , } ;k= O={ it parameters 9 µ ; ; ; , , , want talk best at to 0 learn zi guess . ,

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  10. MLE counts ' just for Nain Bayes . . g) ' ] count 2×5 ; } xc y ]=x[ = |y=§= PCXC ;] , ; T.tw unrealistic often but well practice performs NB in is . , Bayesiannetwerks CDAG ) alienated distribution Represent joint graph acyclic as Random variables Vertices ! Conditional dependencies Edges : lgarenfs ) variable variable PC ! each One for CPT 1>431 PCA @ @ 1×1 ~@p( \~d PCxliTPCXilpamntsCXil@PCctt.B it ) , DKPCAIPCBI I Put , B. c. ) 131 PCDK ) Pktt Dlc ,

  11. HHerg@ @ variable Assume each is binary ) . d sin@ needed specify # parameters to yourself ) joint check : the io Headd %@ without # yaaamet gneyh .rs knowing 25 structure ' 1=31 - . . Marker Assumption : Local independent given parents X - descendants of is man Headache Flu 1 Nose Sinus Allergy 1 , , independent : , allergy Flu Explaining marginally away are . about why\ dependent cthink b. Homer they came gyms . , ,

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