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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A Fusion Approach for Web Search Result Diversification Using Machine Learning Algorithms</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Lekshmi Kalinathan</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Prabavathy Balsundaram</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yogesh Munees E</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Siddharth S</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Shrijith Mr</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Shrikeshavinee Ramachandran</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Shruti Sriram</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ramdhanush Venkatakrishnan</string-name>
        </contrib>
      </contrib-group>
      <abstract>
        <p>Result diversification provides a broader view of a search topic while also increasing the possibilities of ifnding relevant information. It has shown to increase user satisfaction in recommender systems and web search. Many diferent approaches have been proposed in the related literature for the diversification problem. Since the web search result is huge in size, it is essential to have an eficient fusion approach. Hence, objective of this paper is to propose the implementation of fusion model based on KNN, CART and SVR regressors. This fusion model aims to improve the accuracy and reduce the error value of the result that is generated.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Voting Regressor</kwd>
        <kwd>Ensembling approach</kwd>
        <kwd>CART</kwd>
        <kwd>Fusion methods</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Currently, the clients of search engines are interested in retrieving pieces of information
that cover many aspects of their information needs. Consequently, result diversification has
attracted considerable attention in order to improve user satisfaction. For example, if a user
wants to search for car of a type, a diverse result containing various brands, models with
diferent horsepower and other technical characteristics is intuitively more informative than a
result that contains a homogeneous result containing only the cars with similar features.
Diversification is also helpful to ofset the influence of personalization.
Personalization aims at tailoring results to meet the preferences of each specific individual. However, this
can leads to excessive restriction of search results. Diversification can complement preferences
and provide personalization systems with the means to retrieve more satisfying results.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>
        Jiang et al [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] have proposed a learning framework for explicit result diversification in which
subtopics are explicitly modeled. Recurrent Neural Networks, attention mechanism and Max
Pooling are used to instantiate the framework. The framework is flexible to model query intent
in a flat list or a hierarchy. Regardless of diversity modeling and optimization methods, all
these solutions inherit the spirit of MMR, which is an implicit approach and disregards intent.
Göynük et al [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] have proposed R-LTR, a supervised learning approach for textual
data and modified to allow tuning the weights of visual and textual features separately. The
experiments using a benchmark dataset v with 153 queries and 45K images reveal that the
proposed method significantly outperforms various ad hoc diversification approaches in terms
of the sub-topic recall metric. Furthermore, certain variants of R-LTR are superior to the
original method and provide additional (relative) gains of up to 2.2%.
      </p>
      <p>
        Lu et al [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] proposed a multidimensional evaluation mechanism for analysing the
results of diversification in image retrieval. Experiments were carried out to evaluate three
diferent semantic distance algorithms (WordNet, Google Distance, and ESA) combined with
three re-ranking algorithms (MMR, xQuAD, and Score Diference) on image diversification
retrieval based on a subset of the NUS-WIDE image dataset. It allowed a comparison of these
algorithms on social tags and visual tags to understand their strengths and weaknesses, and a
comparison of visual distance algorithms to prove the efectiveness of semantic information in
result diversification.
      </p>
      <p>
        MacAvaney et al [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] proposed a paper which introduces a new distributional causal
language modelling objective and a representation replacement strategy to better handle
ambiguous queries.It is found that IntenT5 excels at handling faceted queries and improves
ColBERT’s performance for fully specified queries. Given that ambiguous queries appear to be
dificult to handle, it investigates Distributional Causal Language Modeling for overcoming this
problem.
      </p>
      <p>
        Maxwell et al [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] proposed that, the impact of diversification is explored where searchers
undertake complex search tasks using Interactive Information Retrieval (IIR). The goal of the
system is to help the searcher learn about a topic and the number of aspects that the searcher
ifnds indicates how much they learned during the process. This finding suggested that the
participants seemed largely ambivalent to the diference in the performance of the systems.
Omer Sagi et al [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] have studied various ensembling techniques like AdaBoost,
Bagging, Random Forest, Gradient Boosting Machines, Rotation Forest, Extremely Randomized
Trees and Deep Neural Networks. They suggested that these existing ensemble methods
certainly improve predictive performance by avoiding overfitting, decreasing the risk of
obtaining local minima and expanding the search space. The research direction in this
survey includes the refinement of popular algorithms suitable for big data and distribution of
ensembling algorithms across multiple machines.
      </p>
      <p>
        DONG et al[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] grouped ensemble learning into four categories: classification based supervised
and semi-supervised ensemble methods, clustering based supervised and semi-supervised
ensemble methods. It presented challenges and possible research directions for each mainstream
approach of ensemble learning. Further, it also suggests that the performance of ensemble
method can be improvised by fusing it with the deep learning and reinforcement learning.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Task and Dataset Description</title>
      <p>
        The dataset used for this task is from ImageCLEF 2022 [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Result diversification fusion task [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]
focuses on identifying relevant outputs and optimizing them, given a query. An inducer is a
model which predicts images related to a query. The similarity scores and ranks are calculated
and written into a text file during run time. However, a single inducer cannot be worked with,
as it might have low precision or performance. Hence an extended version containing many
inducers are used to make the predictions more precise. This is called ensembling technique.
The performance given by the ensembling technique even tops the performance of the highest
single inducer.
      </p>
      <p>The data for this task is obtained from the Retrieving Diverse Social Images Task dataset
[Ionescu2020]. The outputs of 56 inducers, each stored in a separate text file, representing a
total of 123 queries (topics). Each entry or row in these files is of the format as given below in
the Table 1.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Methodologies used</title>
      <p>In order to understand the evaluation of the similarity scores by the inducers, three predictors
namely, KNN Regressor, Classification and Regression Tree and Support Vector Regressor were
explored.</p>
      <sec id="sec-4-1">
        <title>4.1. KNN Regressor</title>
        <p>KNN (K - Nearest Neighbors) is a supervised machine learning model which classifies a data
point based on feature similarity. It is called a lazy learner as not much training is required.
KNN is applied to both classification and regression problems. It gives accurate results when the
dataset is small and when it is properly labeled. First, the Euclidean distances of the new data
point are calculated from all the training points and K of its closest neighbors are considered.
Then, out of the K neighbors, the number of points in each class are counted. The new data point
is classified into the class in which a majority of its neighbors lie. KNN regressor uses the same
distance functions as KNN classification. After having the distances calculated, the samples
of k smaller distances were found and the target values are averaged to obtain the predicted value.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Classification and Regression Trees</title>
        <p>
          While classification attempts to predict a class label, regression predicts a probabilistic value
corresponding to a class label. The CART algorithm [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] works by searching for the best
homogeneity for the subnodes in the decision tree with the help of the Gini Index criterion. The
root node is taken as the training set and is split into two by considering the best attribute and
threshold value. Further, the subsets are also split using the same logic. This continues until the
last pure subset is found or the maximum number of leaves possible in that growing tree. Each
leaf node represents a class label where decisions are taken after computing all features.
        </p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Support Vector Machine Regressor</title>
        <p>
          Support Vector Regression is a regression algorithm [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ] that supports both linear and
non-linear regressions. This method works on the principle of the Support Vector Machine,
i.e., it finds a hyperplane in an N-dimensional space that distinctly classifies the data points.
SVR difers from SVM in the way that SVM is a classifier that is used for predicting discrete
categorical labels while SVR is a regressor that is used for predicting continuous ordered
variables. In simple regression, the idea is to minimize the error rate while in SVR the idea is to
ift the error inside a certain threshold which means, work of SVR is to approximate the best
value within a given margin called - tube. The objective of SVR is to fit as many data points as
possible without violating the margin.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Implementation</title>
      <p>The dataset is split into 90%-10% where the 90% is used for training and the remaining 10% is
used for validation data. The similarity score is normalized and extracted to ensure the same
data distribution. The training data is used as the input while the output is reflected on the
validation data. Three predictor models 1, 2 and 3 were built to study how similarity scores
are assigned.</p>
      <p>The predictor 1 was implemented using KNeighborsRegressor function of sklearn1.neighbors
library. Regressor parameters n_neighbors, weights, metric as 5, uniform and l2_distance
respectively are initialized. The regressor is fitted on the training dataset X and y is obtained as
their responses. The K-neighbors of a data point are found. Further, the weighted graph for k
neighbors is calculated for the data points in X. With the model obtained, target is predicted for
the given test data.</p>
      <p>The predictor 2 was implemented using DecisionTreeRegressor function of sklearn.tree
library. Regressor parameters criterion, splitter, min_samples_split and min_samples_leaf as
squared_error, best, 2 and 1 respectively are initialized. These parameter values lead to fully
grown and unpruned trees for this dataset. In addition, it also helps in the reduction of memory
consumption. Decision tree regressor observes similarity scores of each inducer and trains
a model to predict the data in future. The predictor 3 was implemented using sklearn.svm
with the following parameter values. SVR finds the curve for the given input similarity scores.</p>
      <p>Parameter:Value</p>
      <p>Kernel:rbf, degree:3, gamma:scale,
Coef:0.0, epsilon:0.1, shrinking:True,</p>
      <p>Cache_size:200, max_iter:-1
However, instead of using the curve as a decision boundary, it uses the curve to find the match
between the support vector and position of the curve. SVR acknowledges the presence of
non-linearity in the input similarity score and provides a proficient prediction model. The
predictors are trained with 90% of the training dataset and the remaining set is validated. The
data is split into batches of 5, and each batch is used to predict the similarity score of the next
input for each predictor. Then a comparison between the actual and predicted values is done
and the deviation between the two models is calculated as error. Ranks have been assigned
for the models 1, 2 and 3 based on the error values. The ranks of the base regressors and
the predictor models are used to construct the voting regressor. It is trained using the entire
training data set. The output of each batch predicts the output for the next input. Error values
are calculated by comparing the actual and the predicted values of the model. It is then tested
on the test data and the similarity score predicted by the model replaces the original similarity
score.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Results and Analysis</title>
      <p>Voting regressor is used to predict the similarity scores of the models present in the validation
dataset. The predicted and actual values of similarity scores were plotted in figures 1, 2, 3 and
4. From the figures 1, 2 and 3, it can be inferred that 2 predicts better similarity scores as
compared to 1 and 3. Furthermore on analyzing figures 2 and 4, it can be seen that the
predictor 2 predicts better values as compared to the voting regressor. Table 2 shows the MAE
and rank values for the base and voting regressor models.</p>
      <p>Given the superior performance of the CART model, we chose it for creating our submission
runs. It has been tested with CLEF test data using metrics F1 measure and cluster recall. Diferent
clusters from many cluster labels are assessed under the cluster recall metric and the harmonic
mean of cluster recall and precision equates to the F1 measure.</p>
      <p>The CART model is used to predict the updated similarity score values for the test data. The
test data contains 175,591 predicted values which are divided into 56 text files with around 3150
entries each. Ten diferent CART models were built by varying the paramater, iteration size.
Each variation of the CART model was tested with a given test data and the results obtained
were submitted. For each submission run, we have obtained the F1 and CR scores and it has
been tabulated in the Table 3. A cluster recall of 0.4414 and a F1 measure of 0.5634 has been
obtained for the 10 runs.</p>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusion</title>
      <p>To improve the accuracy of the results of the inducers, three regressors were implemented in the
voting regressor. The model was trained on data from 56 diferent inducers, containing 167,139
training values and tested on data from 56 inducers, containing 175,591 testing values. The
base regressors obtained MAE values of 0.004 for KNN, 0.003 for CART and 0.085 for SVR. The
voting regressor yielded a MAE of 0.017. Among the implemented regressors, CART provided
the optimised result. Of the 10 best submissions, the best F1 score and CR score are 0.5634 and
0.4414 respectively.</p>
    </sec>
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