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Final write-up edits (turned in) and some build/source cleanup to ensure that turned in code can be run from command line.

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This commit is contained in:
Woody Folsom
2012-03-13 14:14:14 -04:00
parent b7676b08c2
commit 052da376ce
12 changed files with 455 additions and 231 deletions
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8
build.xml
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@@ -43,12 +43,11 @@
</target> </target>
<target name="copy-resources" depends="init" > <target name="copy-resources" depends="init" >
<copy todir="${build}/data"> <copy todir="${dist}/data">
<fileset dir="${data}"> <fileset dir="${data}">
<include name="**/*" /> <include name="*.xml" />
</fileset> </fileset>
</copy> </copy>
<!--copy file="DetailedInfo.txt" todir="${dist}" /-->
</target> </target>
<target name="dist" depends="copy-resources, compile" <target name="dist" depends="copy-resources, compile"
@@ -56,7 +55,8 @@
<jar jarfile="${dist}/${project.name}.jar"> <jar jarfile="${dist}/${project.name}.jar">
<fileset dir="${build}" excludes="**/*Test.class" /> <fileset dir="${build}" excludes="**/*Test.class" />
<manifest> <manifest>
<attribute name="Main-Class" value="net.woodyfolsom.cs6601.p2.RecipeBookStub" /> <attribute name="Main-Class" value="net.woodyfolsom.cs6601.p2.BayesChef" />
<attribute name="Class-Path" value=". ../lib/commons-codec-1.5.jar ../lib/guava-r09.jar ../lib/xstream-1.4.2.jar" />
</manifest> </manifest>
</jar> </jar>
</target> </target>

2
test/dkohl/bayes/example/builders/FoodExampleBuilder.java → src/dkohl/bayes/builders/FoodExampleBuilder.java
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@@ -1,4 +1,4 @@
package dkohl.bayes.example.builders; package dkohl.bayes.builders;
import java.util.HashSet; import java.util.HashSet;
import java.util.LinkedList; import java.util.LinkedList;

1
src/dkohl/bayes/builders/FoodNetBuilder.java
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@@ -10,7 +10,6 @@ import net.woodyfolsom.cs6601.p2.RecipeBook;
import net.woodyfolsom.cs6601.p2.Survey; import net.woodyfolsom.cs6601.p2.Survey;
import dkohl.bayes.bayesnet.BayesNet; import dkohl.bayes.bayesnet.BayesNet;
import dkohl.bayes.estimation.MaximumLikelihoodEstimation; import dkohl.bayes.estimation.MaximumLikelihoodEstimation;
import dkohl.bayes.example.builders.FoodExampleBuilder;
import dkohl.bayes.probability.Assignment; import dkohl.bayes.probability.Assignment;
import dkohl.bayes.probability.Probability; import dkohl.bayes.probability.Probability;
import dkohl.bayes.probability.Variable; import dkohl.bayes.probability.Variable;

2
test/dkohl/bayes/example/FoodExampleTest.java
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@@ -9,7 +9,7 @@ import java.util.List;
import org.junit.Test; import org.junit.Test;
import dkohl.bayes.bayesnet.BayesNet; import dkohl.bayes.bayesnet.BayesNet;
import dkohl.bayes.example.builders.FoodExampleBuilder; import dkohl.bayes.builders.FoodExampleBuilder;
import dkohl.bayes.inference.EnumerateAll; import dkohl.bayes.inference.EnumerateAll;
import dkohl.bayes.probability.ProbabilityAssignment; import dkohl.bayes.probability.ProbabilityAssignment;
import dkohl.bayes.probability.Variable; import dkohl.bayes.probability.Variable;

15
writeup/P2 Proposal.aux
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@@ -3,14 +3,19 @@
\citation{corney} \citation{corney}
\citation{janzenxiang} \citation{janzenxiang}
\citation{truyen} \citation{truyen}
\citation{truyen}
\citation{murphy} \citation{murphy}
\citation{murphy}
\citation{russelnorvig}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Our Bayesian net modeling user preferences. The top layer describes the categories Meat and Vegetable. We have a control variable vegetarian for Meat, such that it will always evaluate to $0$ when there is meat involved in a dish and we have a vegetarian diner. The mid layer describes the preference for different ingredients. The last layer is a Gaussian predicting the users preferences.}}{2}}
\newlabel{img:bayes_net}{{1}{2}}
\bibstyle{plain} \bibstyle{plain}
\bibdata{p2refs} \bibdata{p2refs}
\bibcite{corney}{1} \bibcite{corney}{1}
\bibcite{janzenxiang}{2} \bibcite{janzenxiang}{2}
\bibcite{murphy}{3} \bibcite{murphy}{3}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Our Baysian net modeling user preferences}}{2}} \bibcite{russelnorvig}{4}
\newlabel{img:bayes_net}{{1}{2}} \bibcite{truyen}{5}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Estimated vs. Actual Survey Dish Ratings}}{2}} \bibcite{vanboekel}{6}
\bibcite{truyen}{4} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Estimated vs. surveyed dish ratings}}{3}}
\bibcite{vanboekel}{5} \newlabel{result}{{2}{3}}

73
writeup/P2 Proposal.bbl
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@@ -1,34 +1,39 @@
\begin{thebibliography}{1} \begin{thebibliography}{1}
\bibitem{corney} \bibitem{corney}
David Corney. David Corney.
\newblock {Designing Food} with {Bayesian Belief Networks}. \newblock {Designing Food} with {Bayesian Belief Networks}.
\newblock {\em ACDM}, 2000. \newblock {\em ACDM}, 2000.
\bibitem{janzenxiang} \bibitem{janzenxiang}
M.~Janzen and Y.~Xiang. M.~Janzen and Y.~Xiang.
\newblock {Probabilistic Reasoning} in {Meal Planning} in {Intelligent \newblock {Probabilistic Reasoning} in {Meal Planning} in {Intelligent
Fridges}. Fridges}.
\newblock {\em 16th Conference of the Canadian Society for Computational \newblock {\em 16th Conference of the Canadian Society for Computational
Studies of Intelligence}, 2003. Studies of Intelligence}, 2003.
\bibitem{murphy} \bibitem{murphy}
Kevin Murphy. Kevin Murphy.
\newblock A {Brief Introduction} to {Graphical Models} and {Bayesian Networks}. \newblock A {Brief Introduction} to {Graphical Models} and {Bayesian Networks}.
\newblock http://www.cs.ubc.ca/~murphyk/Bayes/bnintro.html, 1998. \newblock http://www.cs.ubc.ca/~murphyk/Bayes/bnintro.html, 1998.
\newblock [Online; accessed 22-Feb-2012]. \newblock [Online; accessed 22-Feb-2012].
\bibitem{truyen} \bibitem{russelnorvig}
Tran~The Truyen, Dinh~Q. Phung, and Svetha Venkatesh. S.~Russel and P.~Norvig.
\newblock Preference {Networks}: {Probabilistic} {Models} for {Recommendation} \newblock {\em Artificial Intelligence; A Modern Approach}.
{Systems}. \newblock Prentice Hall, third edition, 2010.
\newblock {\em Proceedings of the {Sixth Australasian Conference} on {Data
Mining}}, 2007. \bibitem{truyen}
Tran~The Truyen, Dinh~Q. Phung, and Svetha Venkatesh.
\bibitem{vanboekel} \newblock Preference {Networks}: {Probabilistic} {Models} for {Recommendation}
Stein~A. van Boekel, M.A.J.S. and A.H.C. van Bruggen. {Systems}.
\newblock {Bayesian Statistics} and {Quality Modelling} in the {Agro-food \newblock {\em Proceedings of the {Sixth Australasian Conference} on {Data
Production Chain}. Mining}}, 2007.
\newblock {\em Proceedings of the Frontis workshop}, 2004.
\bibitem{vanboekel}
\end{thebibliography} Stein~A. van Boekel, M.A.J.S. and A.H.C. van Bruggen.
\newblock {Bayesian Statistics} and {Quality Modelling} in the {Agro-food
Production Chain}.
\newblock {\em Proceedings of the Frontis workshop}, 3, 2004.
\end{thebibliography}

79
writeup/P2 Proposal.blg
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@@ -1,28 +1,51 @@
This is BibTeX, Version 0.99dThe top-level auxiliary file: P2 Proposal.aux This is BibTeX, Version 0.99d (TeX Live 2010)
The style file: plain.bst Capacity: max_strings=35307, hash_size=35307, hash_prime=30011
Database file #1: p2refs.bib The top-level auxiliary file: P2 Proposal.aux
I was expecting a `,' or a `}'---line 14 of file p2refs.bib The style file: plain.bst
: Database file #1: p2refs.bib
: CITY = {Wageningen} Too many commas in name 1 of "van Boekel, M.A.J.S., Stein, A. and van Bruggen, A.H.C." for entry vanboekel
(Error may have been on previous line) while executing---line 1049 of file plain.bst
I'm skipping whatever remains of this entry Too many commas in name 1 of "van Boekel, M.A.J.S., Stein, A. and van Bruggen, A.H.C." for entry vanboekel
I was expecting a `,' or a `}'---line 23 of file p2refs.bib while executing---line 1090 of file plain.bst
: You've used 6 entries,
: CITY = {London} 2118 wiz_defined-function locations,
(Error may have been on previous line) 529 strings with 4926 characters,
I'm skipping whatever remains of this entry and the built_in function-call counts, 1457 in all, are:
I was expecting a `,' or a `}'---line 31 of file p2refs.bib = -- 138
: > -- 71
: CITY = {London} < -- 0
(Error may have been on previous line) + -- 29
I'm skipping whatever remains of this entry - -- 22
I was expecting a `,' or a `}'---line 40 of file p2refs.bib * -- 72
: := -- 272
: CITY = {Guelph} add.period$ -- 19
(Error may have been on previous line) call.type$ -- 6
I'm skipping whatever remains of this entry change.case$ -- 29
Too many commas in name 1 of "van Boekel, M.A.J.S., Stein, A. and van Bruggen, A.H.C." for entry vanboekel chr.to.int$ -- 0
while executing---line 1049 of file plain.bst cite$ -- 6
Too many commas in name 1 of "van Boekel, M.A.J.S., Stein, A. and van Bruggen, A.H.C." for entry vanboekel duplicate$ -- 59
while executing---line 1090 of file plain.bst empty$ -- 113
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writeup/P2 Proposal.log
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@@ -2,7 +2,7 @@
\usepackage{latex8} \usepackage{latex8}
\usepackage{titlesec} \usepackage{titlesec}
% \usepackage[margin=0.5in]{geometry} \usepackage[margin=0.7in]{geometry}
\usepackage{graphicx} \usepackage{graphicx}
\usepackage{amsmath} \usepackage{amsmath}
@@ -27,31 +27,53 @@ allergies and religious beliefs. Many professional catering services
handle this problem by allowing guests to select from a very limited handle this problem by allowing guests to select from a very limited
menu. We introduce a dish recommendation system menu. We introduce a dish recommendation system
based on Bayesian Networks modeling user preferences. based on Bayesian Networks modeling user preferences.
We predict the meals from a data base of recepices that most likely match the varied tastes We predict the meals from a data base of recipes that most likely match the varied tastes
of the customers, using a limited set of ingredients. This type of expert system 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 would be of great use to a catering service or restaurant which needs to rapidly decide on
a small number of dishes which would be acceptable for a large dinner party, a small number of dishes which would be acceptable for a large dinner party,
given diverse requirements and preferences. given diverse requirements and preferences.
\paragraph*{Bayesian Catering: A use case.}
Imagine that you run a catering service and have to
plan an event with a customer. You can
create a variety of dishes and now you
want to discuss with your clients which one to
serve. In order to get a better idea of which preferences
and needs you clients will have, you let them fill
out a survey in advance, where they rate a small amount of
your dishes on a scale from $1 - 10$ and inform you about
hard constraints like allergies, religious constraints
or vegetarians. You then use those results in order to predict
the ratings for the rest of your dishes and present the clients
the top $k$ results. If such a system works this will save time and will lead
to a better customer satisfaction since you can present them dishes
they will most probably like but still surprise them (since you have
not presented them what the already rated). After the dinner,
participants could rate the dishes served at the party which would iteratively improve the process for future customers.
\section*{Related Work} \section*{Related Work}
Boekel and Corney propose using Bayesian Networks to model Boekel and Corney propose using Bayesian Networks to model
consumer needs in food production chains \cite{vanboekel} \cite{corney}. consumer needs in food production chains \cite{vanboekel} \cite{corney}.
Janzen and Xiang propose an intelligent refrigerator capable of Janzen and Xiang propose an intelligent refrigerator capable of
generating meal plans based on inventory generating meal plans based on inventory
and past food choices \cite{janzenxiang}. Baysian networks have also been and past food choices \cite{janzenxiang}.
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. Baysian networks have also been
applied to recommendation systems before in on-line social applied to recommendation systems before in on-line social
networks \cite{truyen} making predictions of the form networks \cite{truyen} making predictions of the form
``if you bought those items what is the probability you would like to ``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 buy that''. This method also uses bayesian networks
only consider the preferences of a single (or supposed 'typical') user rather than a group. for prediction and our approach is similar or inspired by
some of Truyens \cite{truyen}.
\section*{Approach} \section*{Approach}
The approached problem is to pick a single meal which best meets the requirements The approached problem is to pick a single meal which best meets the requirements
and tastes of different people dining together. We learn a predictive and tastes of different people dining together. We learn a predictive
baysian net from a survey distributed to participants of the meal as Bayesian net from a survey distributed to participants of the meal as
training data in order to capture their preferences. The dishes training data in order to capture their preferences. The dishes
in the questionaire are selected such that all ingrediants in the questionnaire are selected such that all ingredients
are covered. The participants rate each dish on a scale from are covered. The participants rate each dish on a scale from
one to ten and give additional information like vegetarians. one to ten and give additional information like vegetarians.
For new dishes we then predict the maximum likelihood For new dishes we then predict the maximum likelihood
@@ -63,100 +85,199 @@ end how we trained the modeled net from
gathered data and predicted the gathered data and predicted the
value for different recipes. value for different recipes.
\paragraph*{Data accuisition} \paragraph*{Data acquisition}
We first accumulated a diverse collection of license-free sample recipes from web sites such as \emph{Darkstar's Meal-Master Recipes} (http://home.earthlink.net/~darkstar105/). Next, we converted these recipes from flat text files to well-formed XML using the Krecipes application for Debian Linux. Finally, we created a representative data set representing several diners' preference for We first accumulated a diverse collection of license-free sample recipes from web sites such as \emph{Darkstar's Meal-Master Recipes} (http://home.earthlink.net/~darkstar105/). Next, we converted these recipes from flat text files to well-formed XML using the `Krecipes' application for Debian Linux. Finally, we created a representative data set representing several diners' preference for
24 of these recipes, using a simple survey of the type 'rate on a 24 of these recipes, using a simple survey of the type 'rate on a
scale of 1 to 10, 10 being favorite and 1 being least favorite'. Furthermore, users were allowed to specify a vegetarian or nut-free meal preference. scale of 1 to 10, 10 being favorite and 1 being least favorite'.
Furthermore, users were allowed to specify a vegetarian
or nut-free meal preference.
%daniel is here
\paragraph*{Knowledge Engineering} \paragraph*{Knowledge Engineering}
We model the diners' various taste preferences using We model the diners' various taste preferences using
a Bayes net. We model the taste a Bayes net. The net consists of three node types.
We call them ``control nodes'', ``taste nodes''
\begin{description} and ``rating nodes''. A ``preference node''
\item[Layer 1] The first layer models a general preference towards models the probability of a diners' preference towards an
different food categories like vegetables or meat. ingredient ($P(likes tomato)$, $P(likes potato)$) or a category
As one can see, the food categories are dependent ($P(likes meat)$). These variables are discrete. The ingredients
on the general meal preference. For example are conditional independent from each other but conditioned
being vegetarian will exclude meat and will by the food category they belong to (see Figure \ref{img:bayes_net}
support vegetables. the two top layers). A control node can definitely reject a dish,
by evaluating to $0$ in certain conditions. For
\item[Layer 2] Specific flavors and ingredients. Each ingredient is conditioned example if someone is vegetarian and the presented dish contains
by the food category to which it belongs. meet, the control variable for vegetarian will evaluate to $0$ and
\end{description} so the probability for the whole dish will become $0$.
So the vegetarian variable is conditioned by meat.
If we need to model hard constraints, like The third type in the net is a preference node, it is continuous
and models the dish rating given a set of ingredients.
The overall net is shown in Figure \ref{img:bayes_net}. 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 given
the probabilities of liking each ingrediant.
\begin{figure} \begin{figure}[ht]
\centering \centering
\includegraphics[width=\linewidth]{bayes} \includegraphics[width=0.9\linewidth]{bayes}
\caption{Our Baysian net modeling user preferences} \caption{Our Bayesian net modeling user preferences. The top layer
describes the categories Meat and Vegetable. We have a control
variable vegetarian for Meat, such that it will always evaluate to
$0$ when there is meat involved in a dish and we have a vegetarian
diner. The mid layer describes the preference for different
ingredients. The last layer is a Gaussian predicting the users preferences.}
\label{img:bayes_net} \label{img:bayes_net}
\end{figure} \end{figure}
%\subsection*{implementation} %\subsection*{implementation}
\paragraph*{Learning and Predicting} \paragraph*{Learning user preferences}
In order to estimate the model parameters, the In order to estimate the model parameters, the
system will be trained with statistics about taste system will be trained with statistics about taste
and preferences given a set of dishes with ratings and preferences given a set of dishes with ratings
from multiple users. From that information we can directly calculate from multiple users. The training set is generated from
the probabilities for the ingredients using Maximum Likelihood Learning \cite{murphy}. the questionnaires we distributed.
An example for a survey output could look like this (Ingredients, Rating): ``Pork,
Potatoes, 8''. In order to perform normal Maximum Likelihood Learning
\cite{murphy} we have to have information about all variables
(``Pork, Potatoes, Tomatoes, Beef, Meat, Vegetables, Rating'').
We perform several steps in order to transform from the survey input
to a training instance.
First we discretize the values such that all given variables (in our
case Pork and Potatoes) are set to ``true'' if the value is above
a certain threshold (in our experiments $5$) and ``false'' otherwise.
In that way ``liking things rated $>$ 5'' appear more often in the
training set and will be assigned with a higher probability.
We add categories by including the category of each ingredient
from the survey. If the ingredient is liked, the category is too
and if it is not, the category is not liked too. The last step
is to add all values that are not in the recipe as ``false''
to the training instance.
From a set of those preprocessed assignments, we can directly calculate
%\subsection*{Meal Optimization} the probabilities for the ingredients using Maximum Likelihood
In order to model food preferences, we implemented Learning \cite{murphy}. For example for an assignment of a
a custom Baysian net library in java with minimal use of third party libraries (e.g. for XML input). conditional variable $P(X = x \mid Y_1 = y_1, ... Y_2 = y2)$,
We chose to implement our own Library, for maximum flexibility and to ensure that the learning algorithm functions precisely as follows: we count how often we observe the configuration $X = x, Y_1 = y_1,
... Y_2 = y2$ and how often we count $Y_1 = y_1, ... Y_2 = y2$
The library in our data set. The maximum likelihood is then defined as
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} \begin{align}
P(X = x| Y_1 = y_1, ... Y_2 = y2) =\\ 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) N(X = x| Y_1 = y_1, ... Y_2 = y2) \over N(Y_1 = y_1, ... Y_2 = y2)
\end{align} \end{align}
where $N(A)$ is the number of times event $A$occurs in the data set. where $N(A)$ is the number of times event $A$occurs in the data set.
For a continuous variable like rating, we estimate a Gaussian for
each combination of it's parents. For example if the rating variable
is dependent on beef and tomatoes, we would estimate 4 Gaussians,
one for each possible combination of beef and tomatoes. So during
training we would estimate mean and variance for all cases where
$(tomato = true, potato = true)$, $(tomato = false, potato = true)$
and so on.
\paragraph*{Inferring maximum likelihood rating}
Having estimated the probabilities of such a net, we can infer
the maximum likelihood rating of a unseen dish while observing only
a set of ingredients. Therefore, we iterate over all possible
ratings ($1 - 10$) and compute the probability of this rating.
The maximum probability is the maximum likelihood rating
for that dish. We use the \emph{enumerateAll} algorithm \cite{russelnorvig},
for the probability calculations.
\paragraph*{Implementation}
In order to model food preferences, we implemented
a custom Bayesian net library in Java with
minimal use of third party libraries (e.g. for XML input).
We chose to implement our own Library,
for maximum flexibility and to ensure that the learning algorithm
functions precisely as follows:
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 continuous
probability distributions. Discrete distributions
can be modeled as tables or as trees.
In our implementation only continuous distributions with discrete parents
are supported. A continuous distribution is then modeled as a mapping
of all possible combination of its parents to a Gaussian set.
\section*{Evaluation} \section*{Evaluation}
The application model will be trained using a sparse subset (50\%) of the survey data and the optimization problem solved for the inferred constraints. As shown below, the calculated preferences for recipes which were not used to train the Bayes net are quite close to the actual survey data, which essentially reflects the following preferences (Sample ratings are on a 1-10 scale): In an experiment we collected $24$ ratings from $4$ persons.
We trained the Bayes net using a sparse subset (50\%) of the survey data. Then we evaluated the rest of the
recipes (which are all unseen) and calculated
the maximum likelihood rating.
As shown below, the calculated preferences for recipes
which were not used to train the Bayes net are quite close to the
actual survey data, which essentially reflects the following
preferences
(Sample ratings are on a 1-10 scale):
\begin{description} \begin{description}
\item[Diner 1] No allergies, prefers all dishes equally (5) \item[Diner 1] Prefers all dishes equally (5)
\item[Diner 2] Vegetarian, meat dishes are (1), remainder are (9) \item[Diner 2] Vegetarian, meat dishes are (1), remainder are (9)
\item[Diner 3] Prefers meat (6) to vegetarian (4) to desert (3)
\item[Diner 3] Nut Alleregy, prefers meat (6) to vegetarian (4) to desert (3) \item[Diner 4] Prefers Pork and Desserts (9), remainder are (3)
\item[Diner 4] No allergies, prefers Pork and Desserts (9), remainder are (3)
\end{description} \end{description}
Next, we calculate the correlation between the application's ranking of all dishes and the actual ranking as determined by the user surveys. We suggest that a high degree of correlation indicates that the system has the potential to accurately appraise constrained group food preferences for dishes which are not part of the survey, given sufficiently detailed recipe information. As \ref{rms-table} shows, the estimated food preferences are quite close to the actual mean ratings over all diners for the dishes which were not used to train the Bayes net. The root mean-square-error for calculated vs. surveyed meal preferences is approximately 1.0. Next, we calculate the error between the application's ranking of all
dishes and the actual ranking as determined by the user surveys. We
suggest that a low error indicates that the system has the potential
to accurately appraise constrained group food preferences for dishes
which are not part of the survey, given sufficiently detailed recipe
information. As the Table and Figure \ref{result} show, the estimated food preferences are quite close to the actual mean ratings over all diners for the dishes which were not used to train the Bayes net. The root mean-square-error for calculated vs. surveyed meal preferences is approximately 1.92.
\begin{figure}[h!] \begin{table}[ht]
\begin{tabular}{ | l | l | l | }
\hline
Dish & Est. & Actual Avg.\\ \hline
Southwest Smoothie: & &\\
DAIRY & 5 & 5.5 \\ \hline
Bayou Shrimp Creole: & &\\
TOMATO & 9 & 3.75 \\ \hline
Crab Burgers: & &\\
EGGS & 5 & 3.75 \\ \hline
Broiled Flounder: & &\\
GENERIC NUTS, EGGS & 5 & 3.75 \\ \hline
Baked Steak And Lima Beans: & &\\
TOMATO, SUGAR & 2 & 3.75 \\ \hline
Eggplant Lasagna: & &\\
GLUTEN & 5 & 5.25 \\ \hline
Salisbury Steak: & &\\
GLUTEN, DAIRY, BEEF & 6 & 3.75 \\ \hline
Meatless Loaf: & &\\
SPICE & 5 & 5.25 \\ \hline
Lemon Pork Chops: & &\\
PORK, SUGAR & 5 & 5.25 \\ \hline
Fava Bean Burgers: & &\\
EGGS, POTATO & 3 & 5.25 \\ \hline
Angel Hair Pesto Primavera: & &\\
GENERIC NUTS, SPICE & 5 & 5.25 \\ \hline
%\hline
\end{tabular}
\end{table}
\begin{figure}[ht]
\centering \centering
\includegraphics[width=0.5 \textwidth]{BayesChefChart.png} \includegraphics[width=0.5 \textwidth]{BayesChefChart.png}
\caption{Estimated vs. Actual Survey Dish Ratings} \caption{Estimated vs. surveyed dish ratings}
\label{result}
\end{figure} \end{figure}
Note the outlier at Dish \#2 (Bayou Shrimp Creole). The strong preference for this dish is a result of the ingredient list containing primarily shrimp and tomato. Unlike beef and pork, the seafood category was not implemented in the knowledge enginerring of the net. Consequently, this dish is incorrectly deemed to be vegetarian-compatible. The same issue had previously occurred at Dish \#5 (Baked Steak and Lima Beans) until 'steak' was added to the recipe parser as a synonym for beef, and therefore a type of meat. Note the outlier at Dish \#2 (Bayou Shrimp Creole). The strong preference for this dish is a result of the ingredient list containing primarily shrimp and tomato. Unlike beef and pork, the seafood category was not implemented in the knowledge engineering of the net. Consequently, this dish is incorrectly deemed to be vegetarian-compatible. The same issue had previously occurred at Dish \#5 (Baked Steak and Lima Beans) until 'steak' was added to the recipe parser as a synonym for beef, and therefore a type of meat.
\section*{Conclusion}
We proposed, implemented and evaluated a food preference prediction system that
is capable of predicting how much a user would like a new, unseen recipes.
We discussed how to encode user preference towards ingredients and
categories in a Bayes Net and how to add control variables in order
to exclude dishes that users have to avoid, such as meat in the case of
vegetarians. Furthermore, we presented our learning
scheme for such a Bayes net using data from a small survey
and how to predict the user rating for unseen dishes.
In an evaluation we showed that the net can predict
preferences when learned from a sparse data set.
So in a real life setting, where people plan
a dinner with a catering service,
a few participants could rate a small amount of recipes
in an on-line service
and the system could actually predict the scores
on the rest of the caterers data base.
The top $k$ with the answers highest predicted
rating of the system could be used to assemble the final
dinner.
\bibliographystyle{plain} \bibliographystyle{plain}
\bibliography{p2refs} \bibliography{p2refs}

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@@ -10,8 +10,8 @@
AUTHOR = {van Boekel, M.A.J.S., Stein, A. and van Bruggen, A.H.C.}, AUTHOR = {van Boekel, M.A.J.S., Stein, A. and van Bruggen, A.H.C.},
TITLE = {{Bayesian Statistics} and {Quality Modelling} in the {Agro-food Production Chain}}, TITLE = {{Bayesian Statistics} and {Quality Modelling} in the {Agro-food Production Chain}},
YEAR = {2004}, YEAR = {2004},
JOURNAL = {Proceedings of the Frontis workshop} JOURNAL = {Proceedings of the Frontis workshop},
CITY = {Wageningen} CITY = {Wageningen},
VOLUME = {3} VOLUME = {3}
} }
@@ -19,7 +19,7 @@
AUTHOR = {David Corney}, AUTHOR = {David Corney},
TITLE = {{Designing Food} with {Bayesian Belief Networks}}, TITLE = {{Designing Food} with {Bayesian Belief Networks}},
YEAR = {2000}, YEAR = {2000},
JOURNAL = {ACDM} JOURNAL = {ACDM},
CITY = {London} CITY = {London}
} }
@@ -27,7 +27,7 @@
AUTHOR = {Tran The Truyen and Dinh Q. Phung and Svetha Venkatesh}, AUTHOR = {Tran The Truyen and Dinh Q. Phung and Svetha Venkatesh},
TITLE = {Preference {Networks}: {Probabilistic} {Models} for {Recommendation} {Systems}}, TITLE = {Preference {Networks}: {Probabilistic} {Models} for {Recommendation} {Systems}},
YEAR = {2007}, YEAR = {2007},
JOURNAL = {Proceedings of the {Sixth Australasian Conference} on {Data Mining}} JOURNAL = {Proceedings of the {Sixth Australasian Conference} on {Data Mining}},
CITY = {London} CITY = {London}
} }
@@ -36,7 +36,7 @@
AUTHOR = {Janzen, M. and Xiang, Y.}, AUTHOR = {Janzen, M. and Xiang, Y.},
TITLE = {{Probabilistic Reasoning} in {Meal Planning} in {Intelligent Fridges}}, TITLE = {{Probabilistic Reasoning} in {Meal Planning} in {Intelligent Fridges}},
YEAR = {2003}, YEAR = {2003},
JOURNAL = {16th Conference of the Canadian Society for Computational Studies of Intelligence} JOURNAL = {16th Conference of the Canadian Society for Computational Studies of Intelligence},
CITY = {Guelph} CITY = {Guelph}
} }