From 07ff504781a687d692f11374f20ce693562a3e67 Mon Sep 17 00:00:00 2001 From: dkohl Date: Mon, 12 Mar 2012 12:51:02 -0400 Subject: [PATCH] Proposal revised down to data accuisition --- src/net/woodyfolsom/cs6601/p2/BayesChef.java | 6 +- writeup/P2 Proposal.aux | 33 +- writeup/P2 Proposal.log | 495 ++++++++++--------- writeup/P2 Proposal.pdf | Bin 239834 -> 194457 bytes writeup/P2 Proposal.tex | 85 +++- writeup/bayes.jpeg | Bin 127983 -> 0 bytes writeup/bayes.png | Bin 0 -> 81004 bytes 7 files changed, 341 insertions(+), 278 deletions(-) delete mode 100644 writeup/bayes.jpeg create mode 100644 writeup/bayes.png diff --git a/src/net/woodyfolsom/cs6601/p2/BayesChef.java b/src/net/woodyfolsom/cs6601/p2/BayesChef.java index f39cd59..d79b91d 100644 --- a/src/net/woodyfolsom/cs6601/p2/BayesChef.java +++ b/src/net/woodyfolsom/cs6601/p2/BayesChef.java @@ -49,16 +49,16 @@ public class BayesChef { SimpleRegression simpleRegression = new SimpleRegression(); simpleRegression.addData(flavorPrefs); - System.out.println("Individual flavor pref MSE: " + simpleRegression.getMeanSquareError()); + System.out.println("Individual flavor pref MSE: " + Math.sqrt(simpleRegression.getMeanSquareError())); simpleRegression.clear(); System.out.println("Querying Bayes net for recipe flavor preferences: "); flavorPrefs = new double[recipeBook.getSize()][]; for (int i = 0; i < recipeBook.getSize(); i++) { - simpleRegression.addData(i,printPreference(net, recipeBook.getRecipe(i))); + simpleRegression.addData(i, printPreference(net, recipeBook.getRecipe(i))); } - System.out.println("Recipe flavor pref MSE: " + simpleRegression.getMeanSquareError()); + System.out.println("Recipe flavor pref MSE: " + Math.sqrt(simpleRegression.getMeanSquareError())); } int printPreference(BayesNet net, Recipe recipe) { diff --git a/writeup/P2 Proposal.aux b/writeup/P2 Proposal.aux index b9d63da..add977d 100644 --- a/writeup/P2 Proposal.aux +++ b/writeup/P2 Proposal.aux @@ -1,17 +1,16 @@ -\relax -\citation{vanboekel} -\citation{corney} -\citation{janzenxiang} -\citation{truyen} -\citation{russelnorvig} -\citation{russelnorvig} -\citation{russelnorvig} -\bibstyle{plain} -\bibdata{p2refs} -\bibcite{corney}{1} -\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Our Baysian net modeling user preferences}}{1}} -\newlabel{img:bayes_net}{{1}{1}} -\bibcite{janzenxiang}{2} -\bibcite{russelnorvig}{3} -\bibcite{truyen}{4} -\bibcite{vanboekel}{5} +\relax +\citation{vanboekel} +\citation{corney} +\citation{janzenxiang} +\citation{truyen} +\citation{russelnorvig} +\citation{murphy} +\bibstyle{plain} +\bibdata{p2refs} +\bibcite{corney}{1} +\bibcite{janzenxiang}{2} +\bibcite{russelnorvig}{3} +\bibcite{truyen}{4} +\bibcite{vanboekel}{5} +\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Our Baysian net modeling user preferences}}{2}} +\newlabel{img:bayes_net}{{1}{2}} diff --git a/writeup/P2 Proposal.log b/writeup/P2 Proposal.log index 5829b53..e4f8572 100644 --- a/writeup/P2 Proposal.log +++ b/writeup/P2 Proposal.log @@ -1,236 +1,259 @@ -This is pdfTeX, Version 3.1415926-2.3-1.40.12 (MiKTeX 2.9) (preloaded format=pdflatex 2012.1.11) 2 MAR 2012 14:28 -entering extended mode -**C:/Users/Woody/Desktop/GaTechMS/Spring*2012/CS6601*AI/Project*2/P2*Proposal.t -ex - 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0bceffc..c0ce90f 100644 --- a/writeup/P2 Proposal.tex +++ b/writeup/P2 Proposal.tex @@ -2,8 +2,9 @@ \usepackage{latex8} \usepackage{titlesec} -\usepackage[margin=0.5in]{geometry} +% \usepackage[margin=0.5in]{geometry} \usepackage{graphicx} +\usepackage{amsmath} \titleformat{\section}{\large\bfseries}{\thesection}{1em}{} @@ -24,9 +25,9 @@ given the exponential number of dishes which can be created from a small number of ingredients, as well has hard constraints such as allergies and religious beliefs. Many professional catering services handle this problem by allowing guests to select from a very limited -menu. We propose to develop a dish recommendation system -based on Bayesian Networks modeling user preferences and -which proposes meals that most likely match the varied tastes +menu. We introduce a dish recommendation system +based on Bayesian Networks modeling user preferences. +We predict the meals from a data base of recepices that most likely match the varied tastes of the customers, using a limited set of ingredients. This type of expert system would be of great use to a catering service or restaurant which needs to rapdily decide on a small number of dishes which would be acceptable for a large dinner party, @@ -41,26 +42,44 @@ and past food choices \cite{janzenxiang}. Baysian networks have also been applied to recommendation systems before in on-line social networks \cite{truyen} making predictions of the form ``if you bought those items what is the probability you would like to -buy that''. We suggest that these approaches are limited in that they only consider the preferences of a single (or supposed 'typical') user rather than a group. +buy that''. We suggest that these approaches are limited in that they +only consider the preferences of a single (or supposed 'typical') user rather than a group. -\section*{Proposed Approach} +\section*{Approach} The approached problem is to pick a single meal which best meets the requirements -and tastes of different people dining together. +and tastes of different people dining together. We learn a predictive +baysian net from a survey distributed to participants of the meal as +training data in order to capture their preferences. The dishes +in the questionaire are selected such that all ingrediants +are covered. The participants rate each dish on a scale from +one to ten and give additional information like vegetarians. +For new dishes we then predict the maximum likelihood +rating given our model. +In the following we will describe our approach in detail. +First we will discuss the data selection, then the +modeling of the user preference and in the +end how to train the modeled net from +gathered data and howe to predict the +value for a new recepice. -%\subsection*{Application Framework} -First, we will accumulate a diverse collection of sample recipes using the open source AnyMeal application -to convert freely available MealMaster format (flat file) recipes to XML format for input into the Java Bayesian network / optimization -application we propose. +\paragraph*{Data accuisition} +We accumulated a diverse collection of sample recipes using the open source AnyMeal application. +We converted to the freely available MealMaster format (flat file) +recipes to XML format for input into our application. +We will gathered data representing several diners' preference for +approximately 20 meals using a simple survey of the type 'rate on a +scale of 1 to 10, 10 being favorite and 1 being least favorite'. +Furthermore we collected data for vegetarians and vegans. -%\subsection*{Data Collection} -Next, we will gather data representing several diners' preference for approximately 20 meals using a simple survey of the type 'rate on a scale of 1 to 10, 10 being favorite and 1 being least favorite'. A value of 0 for a given dish will be taken to mean that one or more ingredients trigger and allergy or violate a religous constraint, and the diner cannot consume the dish. -%\subsection*{Model} +%daniel is here +\paragraph*{Knowledge Engineering} We will model each individual user's preferences and needs as a Bayesian network, which means a set of independence and conditional independence relationships between variables -\cite{russelnorvig}. Our model consists of 4 layers, +\cite{russelnorvig}. +Our model consists of 4 layers, each modeling a different aspect of taste and needs. In the first layer we capture general meal preferences, like being vegetarian or not liking your food steamed. @@ -79,26 +98,48 @@ someone suffers from diabetes. The overall net is shown in Figure \ref{img:bayes_net}. Given a recipe with a list of ingredients $I = i_1,...,i_n$ and a Bayesian network capturing user preferences -we can calculate the probability of users liking the dish as -$P(i_1 \wedge i_2 \wedge ... \wedge i_n) = \Pi_{i = -1}^{n} p(i_i \mid parents(i_i))$ \cite{russelnorvig}. +we can calculate the probability of users liking the dish given +the probabilities of liking each ingrediant. \begin{figure} \centering -\includegraphics[width=\linewidth]{bayes.jpeg} +\includegraphics[width=\linewidth]{bayes} \caption{Our Baysian net modeling user preferences} \label{img:bayes_net} \end{figure} +%\subsection*{implementation} +\paragraph*{Learning and Predicting} In order to estimate the model parameters, the system will be trained with statistics about taste and preferences given a set of dishes with ratings from multiple users. From that information we can directly calculate -the probabilities for the ingredients. +the probabilities for the ingredients using Maximum Likelihood Learning \cite{murphy}. + %\subsection*{Meal Optimization} -When learning the rest of the variables (that are not observed and therefore -hidden / latent) we will use Expectation Maximization \cite{russelnorvig}. +In order to model food preferences, we implemented +a baysian net library in java. The library +uses the sum-product algorithm for +inference and maximum likelihood learning +for parameter estimation. In our implementation +we support discrete as well as continous +probability distributions. Discrete distributions +can be modeled as tables or as trees. +In our implementation only continous distributions with discrete parents +are supported. A continous distribution is then modeled as a mapping +of all possible combination of it' s parents to a gaussian. +Given a data set, the parameters of a discrete variable $X$ are +estimated as +\begin{align} +P(X = x| Y_1 = y_1, ... Y_2 = y2) =\\ +N(X = x| Y_1 = y_1, ... Y_2 = y2) \over N(Y_1 = y_1, ... Y_2 = y2) +\end{align} +where $N(A)$ is the number of times event $A$occurs in the data set. +We decided to implement our own Library, +so we understand what is going on and +we can debug and fix the models +and algorithms easily. \section*{Evaluation} The application model will be trained using a sparse subset (25-50\%) of the survey data and the optimization problem soled for the inferred constraints. diff --git a/writeup/bayes.jpeg b/writeup/bayes.jpeg deleted file mode 100644 index 2b6f296435430f3edad79fa821d20ea68212adf3..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 127983 zcmeFYbx>W;w9`~fRZwj00;;Ofb_=?@csrM5_2*)b}=_2 zbGLH&MkXaAuS8~VM`lbWZ*2O$3K08;_y6enr;-1o2L7r1-VH#9hYW<;go2;|K%zrH zp+mg)14sc704M+?BoqYTe_ikhh_G-XaE2V^hbRJWN1WqNEiSiBos6Z zEC2!y9swN#5fcjspPWs50UJ+5Ln}GGxO8^$ibC1g5tp5Z&odxAzOnf;C5LEUZO^pI zHWf9O$u%7(x0qAl9F3}}i$_5dfw-iUx?504Xd<|O;G;K!52-?ZboRgg%g6Jd?jT@4 z%9zprqwM1Y00IgM3g&|e;-5lv3|LGoa%_svaO@nED#lc7qGHPN?<)Z0k1;`_L!kqN z0h!=~-R$sGl<;dWaF^uB zJ8!3t^lkp?68ehto)q>fIS1{A>N@hq;`v~SWxy+0#qeu~LonRO5oc0)It{cv}4*YAKg z=H%aYIZ1_(|4Oh7W?fU&6ORwp?|{Vqd-^i^5x-o+%*(U+cK}WJiMkRU@V`3I|JyL< z-T@^LZKPvA_Rk z4HCDrKF40;3!rZ=8WvwbY~P-q!o%MI4A=wCeNK{;L->LZKiRVdhu9Fd$IY2B!{w=g zpXF~b2_l^dD4`6XDfC^8^r-Jl)G#XYk7m~(N1AtNmsi(Xj}Hrx%FtU;RuM`z1n;iWBz*DL?JxQ}pnB>>`1bVaPURi&@D9k$eeiq-bltmFIE;b8 zZWTAtQGc2jnKoAB(yP~^tVt%wmWagSA7E~oChs90h@-QKu1SV>5xf@B#%lYriZs5; z*we{`B)!$v9*iXo6ZT=+hN&UU) z+r08TMeU-D&fCHPY6yZf*J$p&7m1Y2fry)-h#Ipv3`fkPvI`#2J#z{-4O1T~^NYyB zISC(K_b_d|`|~nI+}84NeDidE_u{+$Lh)wF9j{fTmz@(*Kdb9}eLP=~6TfPAa<$Q6 zI3ghFtR10Q=E0II*2|nujd$HHtlT@Be;0Cndk0)L8A=sD-kl!2 z1CpOv7N=(30iSZGkM1@$;d-9m0k;)s+l*Xb%<<{Lw^aKte{3{5xtwrgZl@?SsYCIT z_IXFI!O9FqUh}Ir+JqS#gB>O}b(HaPd#7a6xfP-)zGIove9R{IRo> zi?fu4kg9?ZwPUd_{O)tpBEeyWq>hV6Qg%c2Y54wYY&74l(oQx;%^Mdw6(3cADvA<*cTlj$@7Fn~*-x8$> zmMs;T4$MkSCR_rl<@TA)rO#w;QX*R_0F!Kg1p-yF=1a(~J%C^Uk1A>I)Zv8A<6$GA zSK8_&&doc3{9c%}eUq>FVs?D*#;f7@m)!V5YOd;?g6gde_+X(CT;$7;N!(>;;Fhac z{Tv%|_>x>PHBnofw|sJ=nR9&~n`!x$%KtWXjaw~YLT6aK@~1N49q^@#XLGsyO%Zdh ztfZXk?YpmiSH0$I4o#`L_F_^YE!IEe!K@G+HLTXs&YNd#E2%%Bv9(vp4^0PblGU51 zpC?dp+5b_k8#N0_=-Q-v*HI#PqDDQO756Qaks!f>P(8G}lDHq+cDmHW>a@%hVzB`j znucapWmeLp(4=7fHFvi7S$O7?L80|NNWW+SP}9k~N*n~S0G^ITI$6+9gz%7h8h0OAa94UPj~IBUU@&-S$_X4lR+6u_XrgciA>lY&j%4;o>Xstb`C^I$qn9wh0|t1L zIe2zODUd%MC)oCZ2#|s`z!eNSEixEi^z`|?fAr>fa_=-9>4?;(!7{wGxjQ?Odfz?0 z=zF=`uFPSgCS#s0P6B#dsT?AnTr}QTWA<=WRjY5G&X++1nI)tdi*HP?>r9}hOVDOF z-(~7TXXk}OLB{CWJAicHJa;i&zkMTTV3i1B)6def*f22AaOUS~O0T^*Esp@z)#C6d zRu8zJZ70i>coHZIcn1({OCf)!oQ_#%`Q2vNz~CkL2zH$tp`4FTLphU^_R3^vKlm4(NDn^CPV{zB~3!#fC|m`Kj<_A2+r=jRGm!)`CvlDKi+l zD2u;pkRJNmrICNmbwcKj#nLw70|40UZOZ-tU}Q5`z*>ow*>zgzCCN{K!l;Vf0Wedrn8VcqjSAozzOfBM@6RLzz>1`aAZBkzky{IEW(YBuk&y4G_I3q@?={ujH=PhN(s{txuMlod95!Xn;HU%3 z(QkDJzrvXe)SInop4$EF=R526?9vX|nZ~u>bX-~d!>~$rpcpOnnNjC^o++c~oxZQ| z*o4GtbwO!W+7rIW@jIYhz~zt69F8L}2>n8y6H<;fpvm?s0TlB9t|m__2!~uR_iVEO zo{eg|HT5}$aW}oJ3;v~a;rL?I9_>^a%b`G>qxZ7XuY(_-cN3ZE=ow^kHhk08sb>gh zvUqxMEV9a3e0V$iMtcA8csl+!@qR57?tBNd&HgoP%*ko|xNnv}z60D170-XF$3pK3?8tP#PULh&7n7&i~&N|Ke_RGS$~uSlC74S z>IJo0p!s{1=Vt|-i^6b&e~&wc){H5ciZKd5P%~x8jvFhih(@}g)6m(SAq$mn);m1d z;jjQB7_Z-K>+rtXApNM%i$?T0HskAasu7nF5y8E-+lIDhldGi-vY*8hpy+7ddJ`_r z{XBDVq#*TMhP9aB&qd#{H>7)}Gi8#w&YSN@exT$$z~oc@BSVS3pHS;cP&=Kz9EpH; zevp{6=y@N%!|K%5(8#0GJQVmZ4n*lTk0NMwySW-NiK1Mv-g>9g;_fyjm+G@4V2?FZM*~4dupk-9rC!B#W6~A*CJq~2- ztlC{xu>&@-UyG!z(fIIvhi9~O_s)-qM(G$bcY%24oa|zKHoc)2je4>RwSZ#!1N}T2i&Ru}E(Fr-?0{BRgVkb>?G z_YJDXvtPw_)WW;g;#Bd|3vzt8p==`S>hguq+|2LdkLpKy3PJKIl_>&+#8v1a0$)Qb z%%W%j6fhxP2)V$M1rjdL$B{h9bZ+3TrPd0z!Fn*V^sSrKu)Gm=ayZy-PSpC-uCS2mlrF0gR`odfy(ZrCX7XRka7J`aV6;6We zg(8J?jV(eKz%RHRm)4)kk|$@}dF)V$GbcQq_DaV!o1S%h4|#V3 z^C9*#%(#1f^Aog+*>V=C&QyHN&|~s%KMyTRQ!MZM$b_;;WTi3U}R3I zN{K)H@#T-jV2t`Nuhd5A_=n&^-%6Y5<{p_5S@4C)FPluPwYi;|D_l?p&fdO zv6y2NPP25Yy3=S2vM@Bh*-Ld%TXhi(hJ$KVrg;J6_St{mEEX~>O@vc{TXKIF*?gMp2NHb8}9_sO;psn|>r{gedvLD{f@ zaH+{+&cZj&E9htCoWN+(AN~&!mi>RY+5dZoO}w!q*BYP z>Ut@%^ZK8$7B{MaruC)FdgSEtULCjXY}9%g3TT+zbueM-F3hJ_mVZlYkn8X7FO=OBn3X%XwvyF&+DOUR zNUazsx7Ml0)YX{A)D{0=kdu?+eKn!)L5YycLvO&bjT|tYVAH^9qtmJy#?x9=ZQ%M@ zH!zCTOn0Sm_lxE#Ibx1cpyP2K5k*jpRY@&}j`xW{Vf?q)eG%S!v9qv02AKvlHeif$mt$`8eH`5v#Qwpfrm{r5W#*uAOvK(UhFMQXBx$a8AfH}!1u z!}A>b7VSrM-D>rn!l_Bm<*mbZ{_t**Zh~_w^7`;$FzXB0r+FxcNzdtGuq)x|F3XfR z3dFa+{h~MjEbl&+>XYwOES#5hJa!iuUM0kP;Fu(Aby0BVtB8)fgWtqTSi3Pf_s?T^b^pXE z+qJykMEUi#u2f$!_|fp{t$aJ{dv!A+Mi8+Hvfj|QGZLbe(&-)nG4uISN99eujYYl= z0TzQjFetO2Z7ktYQ;I8MjR=QMYG%#J-Cu;^2+l0 zAo5bipTPZ6Gn>)RbfR$^R~0}*pcZusxY>?L}5rK}zC4HN$~nSBEN3n--Kj_8KB3xjhe z+g3jBnmdqy&f?$f<&~E!`-X|m=S`C5-6M0|6|3p#5ul5vueW_n=j<-CU5*b(uXK87 zy60iCR=Y1#XAyP9RO=lOlUPjrxYJQo&uc#Wo&B#qR-etT@1f)0VxQpMq6*z+US^hb z3gt&(H74ZhcAlmp2My)=kU=S83%+cDwp#|3aEvQ1RLp3rx_OzB?_JT5Z(l%Mbgb{+P)E2 z-ml(B*4{O}ujyoCjHU>SH89?)Itxjsg&-ZvW!$OO%p$gGEZp2!)>d*R|8pLP-^BtN1?R zr^HsSj;>y|Ho%*+gAV4_g2n@&xg7? 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