diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.aux b/Doc/Kaggle_CrowdFlower_ChenglongChen.aux index b22380b..5e2691f 100644 --- a/Doc/Kaggle_CrowdFlower_ChenglongChen.aux +++ b/Doc/Kaggle_CrowdFlower_ChenglongChen.aux @@ -64,33 +64,37 @@ \@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.1}Classification}{13}{subsubsection.4.2.1}} \newlabel{subsubsec:Classification}{{4.2.1}{13}{Classification\relax }{subsubsection.4.2.1}{}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.2}Regression}{13}{subsubsection.4.2.2}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.3}Pairwise Ranking}{13}{subsubsection.4.2.3}} \citation{ebc} -\citation{cocr} +\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Histograms of raw prediction and predictions using various decoding methods grouped by true relevance.}}{14}{figure.2}} +\newlabel{fig:MSE_decoding}{{2}{14}{Histograms of raw prediction and predictions using various decoding methods grouped by true relevance}{figure.2}{}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.3}Pairwise Ranking}{14}{subsubsection.4.2.3}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.4}Oridinal Regression}{14}{subsubsection.4.2.4}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.5}Softkappa}{14}{subsubsection.4.2.5}} +\citation{cocr} +\@writefile{lot}{\contentsline {table}{\numberline {6}{\ignorespaces Performance of various decoding methods for MSE objective.}}{15}{table.6}} +\newlabel{tab:MSE_decoding}{{6}{15}{Performance of various decoding methods for MSE objective}{table.6}{}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.5}Softkappa}{15}{subsubsection.4.2.5}} \citation{ensemble_selection} \citation{hyperopt} \citation{hyperopt_url} -\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Sample Weighting}{15}{subsection.4.3}} -\@writefile{toc}{\contentsline {subsection}{\numberline {4.4}Ensemble Selection}{15}{subsection.4.4}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.4.1}Model Library Building via Guided Parameter Searching}{15}{subsubsection.4.4.1}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.4.2}Model Weight Optimization}{15}{subsubsection.4.4.2}} -\@writefile{lot}{\contentsline {table}{\numberline {6}{\ignorespaces Model Library}}{16}{table.6}} -\newlabel{tab:Model_Library}{{6}{16}{Model Library\relax }{table.6}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.4.3}Randomized Ensemble Selection}{16}{subsubsection.4.4.3}} -\@writefile{toc}{\contentsline {section}{\numberline {5}Code Description}{16}{section.5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Sample Weighting}{16}{subsection.4.3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {4.4}Ensemble Selection}{16}{subsection.4.4}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.4.1}Model Library Building via Guided Parameter Searching}{16}{subsubsection.4.4.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.4.2}Model Weight Optimization}{16}{subsubsection.4.4.2}} +\@writefile{lot}{\contentsline {table}{\numberline {7}{\ignorespaces Model Library}}{17}{table.7}} +\newlabel{tab:Model_Library}{{7}{17}{Model Library\relax }{table.7}{}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.4.3}Randomized Ensemble Selection}{17}{subsubsection.4.4.3}} +\@writefile{toc}{\contentsline {section}{\numberline {5}Code Description}{17}{section.5}} \citation{NLTK_Cookbook} -\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generating with randomized ensemble selection. One standard deviation of the CV score is plotted via error bar.}}{17}{figure.2}} -\newlabel{fig:CV_Public_Private}{{2}{17}{CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generating with randomized ensemble selection. One standard deviation of the CV score is plotted via error bar}{figure.2}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Setting}{17}{subsection.5.1}} -\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Feature}{17}{subsection.5.2}} -\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}Model}{18}{subsection.5.3}} -\@writefile{toc}{\contentsline {section}{\numberline {6}Dependencies}{19}{section.6}} +\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generating with randomized ensemble selection. One standard deviation of the CV score is plotted via error bar.}}{18}{figure.3}} +\newlabel{fig:CV_Public_Private}{{3}{18}{CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generating with randomized ensemble selection. One standard deviation of the CV score is plotted via error bar}{figure.3}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Setting}{18}{subsection.5.1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Feature}{18}{subsection.5.2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}Model}{19}{subsection.5.3}} +\@writefile{toc}{\contentsline {section}{\numberline {6}Dependencies}{20}{section.6}} \citation{wmd} -\@writefile{toc}{\contentsline {section}{\numberline {7}How To Generate the Solution (aka README file)}{20}{section.7}} -\@writefile{toc}{\contentsline {section}{\numberline {8}Additional Comments and Observations}{20}{section.8}} -\@writefile{toc}{\contentsline {section}{\numberline {9}Simple Features and Methods}{20}{section.9}} +\@writefile{toc}{\contentsline {section}{\numberline {7}How To Generate the Solution (aka README file)}{21}{section.7}} +\@writefile{toc}{\contentsline {section}{\numberline {8}Additional Comments and Observations}{21}{section.8}} +\@writefile{toc}{\contentsline {section}{\numberline {9}Simple Features and Methods}{21}{section.9}} \bibstyle{plain} \bibdata{reference} \bibcite{owen}{1} @@ -103,4 +107,4 @@ \bibcite{ensemble_selection}{8} \bibcite{NLTK_Cookbook}{9} \bibcite{cocr}{10} -\@writefile{toc}{\contentsline {section}{\numberline {10}Acknowledgement}{21}{section.10}} +\@writefile{toc}{\contentsline {section}{\numberline {10}Acknowledgement}{22}{section.10}} diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.log b/Doc/Kaggle_CrowdFlower_ChenglongChen.log index aada7e0..8beb9c6 100644 --- a/Doc/Kaggle_CrowdFlower_ChenglongChen.log +++ b/Doc/Kaggle_CrowdFlower_ChenglongChen.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.1415926-2.3-1.40.12 (MiKTeX 2.9) (preloaded format=pdflatex 2013.11.4) 13 JUL 2015 07:58 +This is pdfTeX, Version 3.1415926-2.3-1.40.12 (MiKTeX 2.9) (preloaded format=pdflatex 2013.11.4) 17 JUL 2015 01:37 entering extended mode **Kaggle_CrowdFlower_ChenglongChen.tex (F:\CrowdFolwer\cleanup\Doc\Kaggle_CrowdFlower_ChenglongChen.tex @@ -813,51 +813,57 @@ Overfull \hbox (5.09244pt too wide) in paragraph at lines 401--402 -tion, e.g., \OT1/cmtt/m/n/10.95 LogisticRegression [] -[13] [14] [15] +<./compare_MSE_Decoding.pdf, id=359, 666.69077pt x 574.54652pt> +File: ./compare_MSE_Decoding.pdf Graphic file (type pdf) + + +Package pdftex.def Info: ./compare_MSE_Decoding.pdf used on input line 414. +(pdftex.def) Requested size: 422.77664pt x 364.34204pt. + [13] [14 ] [15] [16] PGFPlots: reading {35lb_subs.txt} - [16] -Overfull \hbox (10.74371pt too wide) in paragraph at lines 555--556 + [17] +Overfull \hbox (10.74371pt too wide) in paragraph at lines 583--584 \OT1/cmtt/m/n/10.95 ./Data\OT1/cmr/m/n/10.95 , i.e., \OT1/cmtt/m/n/10.95 strati fiedKFold.query.pkl \OT1/cmr/m/n/10.95 and \OT1/cmtt/m/n/10.95 stratifiedKFold. relevance.pkl\OT1/cmr/m/n/10.95 . [] -[17] -Overfull \hbox (0.73491pt too wide) in paragraph at lines 565--566 +[18] +Overfull \hbox (0.73491pt too wide) in paragraph at lines 593--594 []\OT1/cmr/bx/n/10.95 combine[]feat[][LSA[]and[]stats[]feat[]Jun09][][Low].py\O T1/cmr/m/n/10.95 : This file gen-er-ates one [] -[18] -Overfull \hbox (1.45724pt too wide) in paragraph at lines 592--593 +[19] +Overfull \hbox (1.45724pt too wide) in paragraph at lines 620--621 \OT1/cmr/m/n/10.95 pa. It is adopt-ed from []$\OT1/cmtt/m/n/10.95 https : / / g ithub . com / benhamner / Metrics / tree / master /$ [] -Overfull \hbox (32.26485pt too wide) in paragraph at lines 613--614 +Overfull \hbox (32.26485pt too wide) in paragraph at lines 641--642 []\OT1/cmr/m/n/10.95 XGBoost-0.4.0 (Win-dows Ex-e-cutable, []$\OT1/cmtt/m/n/10. 95 https : / / github . com / dmlc / XGBoost / releases /$ [] -Overfull \hbox (11.5833pt too wide) in paragraph at lines 614--615 +Overfull \hbox (11.5833pt too wide) in paragraph at lines 642--643 []\OT1/cmr/m/n/10.95 ml[]metrics ([]$\OT1/cmtt/m/n/10.95 https : / / github . c om / benhamner / Metrics / tree / master / Python / ml _$ [] -Overfull \hbox (12.11351pt too wide) in paragraph at lines 618--619 +Overfull \hbox (12.11351pt too wide) in paragraph at lines 646--647 []\OT1/cmr/m/n/10.95 rgf1.2 (Win-dows Ex-e-cutable, []$\OT1/cmtt/m/n/10.95 http : / / stat . rutgers . edu / home / tzhang / software /$ [] -Overfull \hbox (2.8642pt too wide) in paragraph at lines 622--622 +Overfull \hbox (2.8642pt too wide) in paragraph at lines 650--650 []\OT1/cmr/bx/n/17.28 How To Gen-er-ate the So-lu-tion (a-ka README [] -[19] [20] (F:\CrowdFolwer\cleanup\Doc\Kaggle_CrowdFlower_ChenglongChen.bbl +[20] [21] (F:\CrowdFolwer\cleanup\Doc\Kaggle_CrowdFlower_ChenglongChen.bbl Overfull \hbox (49.59592pt too wide) in paragraph at lines 4--5 [][]$\OT1/cmtt/m/n/10.95 http : / / nycdatascience . com / featured-[]talk-[]1- []kaggle-[]data-[]scientist-[]owen-[]zhang/$[]\OT1/cmr/m/n/10.95 . @@ -882,12 +888,12 @@ ication / forums / t / 13863 /$ [] ) -Package atveryend Info: Empty hook `BeforeClearDocument' on input line 659. - [21] -Package atveryend Info: Empty hook `AfterLastShipout' on input line 659. +Package atveryend Info: Empty hook `BeforeClearDocument' on input line 687. + [22] +Package atveryend Info: Empty hook `AfterLastShipout' on input line 687. 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PDF statistics: - 545 PDF objects out of 1000 (max. 8388607) - 124 named destinations out of 1000 (max. 500000) - 386 words of extra memory for PDF output out of 10000 (max. 10000000) + 590 PDF objects out of 1000 (max. 8388607) + 127 named destinations out of 1000 (max. 500000) + 391 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.pdf b/Doc/Kaggle_CrowdFlower_ChenglongChen.pdf index af8e738..081c2cc 100644 Binary files a/Doc/Kaggle_CrowdFlower_ChenglongChen.pdf and b/Doc/Kaggle_CrowdFlower_ChenglongChen.pdf differ diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.synctex.gz b/Doc/Kaggle_CrowdFlower_ChenglongChen.synctex.gz index 26d5306..167b1a6 100644 Binary files a/Doc/Kaggle_CrowdFlower_ChenglongChen.synctex.gz and b/Doc/Kaggle_CrowdFlower_ChenglongChen.synctex.gz differ diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.tex b/Doc/Kaggle_CrowdFlower_ChenglongChen.tex index a4c3f20..338d234 100644 --- a/Doc/Kaggle_CrowdFlower_ChenglongChen.tex +++ b/Doc/Kaggle_CrowdFlower_ChenglongChen.tex @@ -297,10 +297,10 @@ \subsubsection{Basic TF-IDF Features} \item \textbf{Individual SVD}\\ We fit a SVD transformer for TF-IDF vectors of $\{q_i, t_i, d_i\}$, separately. \end{itemize} -\item \textbf{Cosine Similarity Based on SVD Reduced Features}\\ +\item \textbf{Basic Cosine Similarity Based on SVD Reduced Features}\\ We computed cosine similarity based on SVD reduced features (using common SVD). \item \textbf{Statistical Cosine Similarity Based on SVD Reduced Features}\\ -We computed statistical cosine similarity based on SVD reduced features. +We computed statistical cosine similarity based on SVD reduced features as in Sec. \ref{subsubsec:Statistical_Distance_Features}. \end{itemize} \subsubsection{Cooccurrence TF-IDF Features} \label{subsubsec:Cooccurrence_TFIDF_Features} @@ -403,7 +403,35 @@ \subsubsection{Classification} \subsubsection{Regression} Classification doesn't take into account the weight $w_{i,j}$ in $\kappa$, and the magnitude of the rating. With $w_{i,j}$'s form, it is convincing to apply regression (with mean-squared-error, MSE) to predict the relevance score. In prediction phase, we can convert the raw prediction score to $\{1,2,3,4\}$ following step 2-4 as in Sec. \ref{subsubsec:Classification}. -It turns out that MSE is the best objective among all the alternatives we have tried during the competition. For this reason, we mostly used regression to predict \texttt{median\_relevance}. +Figure \ref{fig:MSE_decoding} shows some histograms from our reproduced best single model for one run of CV (only one validation fold is used). In specific, we plot histograms of 1) raw prediction, 2) rounding decoding, 3) ceiling decoding, and 4) the above cdf decoding, grouped by the true relevance. It's most obvious that both rounding and ceiling decoding methods have difficulty in predicting relevance 4. + +Table \ref{tab:MSE_decoding} shows the kappa scores for each decoding method (using all 3 runs and 3 folds CV). The above cdf decoding method exhibits the best performance among the three methods we considered. + +It turns out that MSE (with the above decoding method) is the best objective among all the alternatives we have tried during the competition. For this reason, we mostly used regression to predict \texttt{median\_relevance}. + +\begin{figure}[t] +\centering +\includegraphics[width=0.9\textwidth]{./compare_MSE_Decoding.pdf} +\caption{Histograms of raw prediction and predictions using various decoding methods grouped by true relevance.} +\label{fig:MSE_decoding} +\end{figure} + +\begin{table}[t] +\centering +\caption{Performance of various decoding methods for MSE objective.} +\label{tab:MSE_decoding} +\begin{tabular}{|c|c|c|} +\hline +Method & CV Mean & CV Std \\ +\hline +Rounding & 0.404277 & 0.005069\\ +\hline +Ceiling & 0.513138 & 0.006485\\ +\hline +CDF & \textcolor{red}{0.681876} & 0.005259\\ +\hline +\end{tabular} +\end{table} \subsubsection{Pairwise Ranking} We have tried pairwise ranking (LambdaMart) within XGBoost, but didn't obtain acceptable performance (it was worse than softmax). @@ -491,7 +519,7 @@ \subsubsection{Model Weight Optimization} In the original ensemble selection algorithm, the model is added to the ensemble with hard weight 1. However, this is not guaranteed for best performance. We have modified it to allow weight optimized for each model when adding to the ensemble. The weight is optimized with Hyeropt too. This gives better performance than hard weight 1 in our preliminary comparison. \subsubsection{Randomized Ensemble Selection} -The final method we used to generate the winning solution is actually without model weight optimization. On the contrary, we replaced weight optimization with \textbf{random weight}. This is inspired by the \texttt{ExtraTreesRegressor} to reduce the model variance (or the risk of overfitting). +The final method we used to generate the winning solution is actually without model weight optimization. On the contrary, we replaced weight optimization with \textbf{random weight}. This is inspired by the \texttt{ExtraTreesRegressor} to reduce the model variance (or the risk of overfitting). Figure \ref{fig:CV_Public_Private} shows the CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generated with this method. As shown, CV score is correlated with the Public LB and Private LB, while it's more correlated with the latter. As time went by, we have trained more and more different models, which turned out to be helpful for ensemble selection in both CV and Private LB (as shown in Figure \ref{fig:CV_Public_Private}). diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.tex.bak b/Doc/Kaggle_CrowdFlower_ChenglongChen.tex.bak index 9bc1f71..5c8f7d2 100644 --- a/Doc/Kaggle_CrowdFlower_ChenglongChen.tex.bak +++ b/Doc/Kaggle_CrowdFlower_ChenglongChen.tex.bak @@ -297,10 +297,10 @@ We first concatenated the TF-IDF vectors of $\{q_i, t_i, d_i\}$ (using common vo \item \textbf{Individual SVD}\\ We fit a SVD transformer for TF-IDF vectors of $\{q_i, t_i, d_i\}$, separately. \end{itemize} -\item \textbf{Cosine Similarity Based on SVD Reduced Features}\\ +\item \textbf{Basic Cosine Similarity Based on SVD Reduced Features}\\ We computed cosine similarity based on SVD reduced features (using common SVD). \item \textbf{Statistical Cosine Similarity Based on SVD Reduced Features}\\ -We computed statistical cosine similarity based on SVD reduced features. +We computed statistical cosine similarity based on SVD reduced features as in Sec. \ref{subsubsec:Statistical_Distance_Features}. \end{itemize} \subsubsection{Cooccurrence TF-IDF Features} \label{subsubsec:Cooccurrence_TFIDF_Features} @@ -405,6 +405,13 @@ Classification doesn't take into account the weight $w_{i,j}$ in $\kappa$, and t It turns out that MSE is the best objective among all the alternatives we have tried during the competition. For this reason, we mostly used regression to predict \texttt{median\_relevance}. +\begin{figure}[!htb] +\centering +\includegraphics[width=0.9\textwidth]{./FlowChart.pdf} +\caption{The flowchart of our method.} +\label{fig:Flowchart} +\end{figure} + \subsubsection{Pairwise Ranking} We have tried pairwise ranking (LambdaMart) within XGBoost, but didn't obtain acceptable performance (it was worse than softmax). @@ -491,11 +498,11 @@ RGF & \multicolumn{2}{c|}{Regression} & Low & No In the original ensemble selection algorithm, the model is added to the ensemble with hard weight 1. However, this is not guaranteed for best performance. We have modified it to allow weight optimized for each model when adding to the ensemble. The weight is optimized with Hyeropt too. This gives better performance than hard weight 1 in our preliminary comparison. \subsubsection{Randomized Ensemble Selection} -The final method we used to generate the winning solution is actually without model weight optimization. On the contrary, we replaced weight optimization with \textbf{random weight}. This is inspired by the \texttt{ExtraTreesRegressor} to reduce the model variance (or the risk of overfitting). +The final method we used to generate the winning solution is actually without model weight optimization. On the contrary, we replaced weight optimization with \textbf{random weight}. This is inspired by the \texttt{ExtraTreesRegressor} to reduce the model variance (or the risk of overfitting). Figure \ref{fig:CV_Public_Private} shows the CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generated with this method. As shown, CV score is correlated with the Public LB and Private LB, while it's more correlated with the latter. As time went by, we have trained more and more different models, which turned out to be helpful for ensemble selection in both CV and Private LB (as shown in Figure \ref{fig:CV_Public_Private}). -The winning solution that scored \textbf{0.70807} on Public LB and \textbf{0.72189} on Private LB is just a median ensemble of these 35 best Public LB submissions. +The winning submission that scored \textbf{0.70807} on Public LB and \textbf{0.72189} on Private LB is just a median ensemble of these 35 best Public LB submissions. \begin{figure}[t] \centering diff --git a/Doc/Kaggle_CrowdFlower_ChenglongChen.toc b/Doc/Kaggle_CrowdFlower_ChenglongChen.toc index 534c2c2..8f0b09b 100644 --- a/Doc/Kaggle_CrowdFlower_ChenglongChen.toc +++ b/Doc/Kaggle_CrowdFlower_ChenglongChen.toc @@ -27,20 +27,20 @@ \contentsline {subsection}{\numberline {4.2}Model Objective and Decoding Method}{12}{subsection.4.2} \contentsline {subsubsection}{\numberline {4.2.1}Classification}{13}{subsubsection.4.2.1} \contentsline {subsubsection}{\numberline {4.2.2}Regression}{13}{subsubsection.4.2.2} -\contentsline {subsubsection}{\numberline {4.2.3}Pairwise Ranking}{13}{subsubsection.4.2.3} +\contentsline {subsubsection}{\numberline {4.2.3}Pairwise Ranking}{14}{subsubsection.4.2.3} \contentsline {subsubsection}{\numberline {4.2.4}Oridinal Regression}{14}{subsubsection.4.2.4} -\contentsline {subsubsection}{\numberline {4.2.5}Softkappa}{14}{subsubsection.4.2.5} -\contentsline {subsection}{\numberline {4.3}Sample Weighting}{15}{subsection.4.3} -\contentsline {subsection}{\numberline {4.4}Ensemble Selection}{15}{subsection.4.4} -\contentsline {subsubsection}{\numberline {4.4.1}Model Library Building via Guided Parameter Searching}{15}{subsubsection.4.4.1} -\contentsline {subsubsection}{\numberline {4.4.2}Model Weight Optimization}{15}{subsubsection.4.4.2} -\contentsline {subsubsection}{\numberline {4.4.3}Randomized Ensemble Selection}{16}{subsubsection.4.4.3} -\contentsline {section}{\numberline {5}Code Description}{16}{section.5} -\contentsline {subsection}{\numberline {5.1}Setting}{17}{subsection.5.1} -\contentsline {subsection}{\numberline {5.2}Feature}{17}{subsection.5.2} -\contentsline {subsection}{\numberline {5.3}Model}{18}{subsection.5.3} -\contentsline {section}{\numberline {6}Dependencies}{19}{section.6} -\contentsline {section}{\numberline {7}How To Generate the Solution (aka README file)}{20}{section.7} -\contentsline {section}{\numberline {8}Additional Comments and Observations}{20}{section.8} -\contentsline {section}{\numberline {9}Simple Features and Methods}{20}{section.9} -\contentsline {section}{\numberline {10}Acknowledgement}{21}{section.10} +\contentsline {subsubsection}{\numberline {4.2.5}Softkappa}{15}{subsubsection.4.2.5} +\contentsline {subsection}{\numberline {4.3}Sample Weighting}{16}{subsection.4.3} +\contentsline {subsection}{\numberline {4.4}Ensemble Selection}{16}{subsection.4.4} +\contentsline {subsubsection}{\numberline {4.4.1}Model Library Building via Guided Parameter Searching}{16}{subsubsection.4.4.1} +\contentsline {subsubsection}{\numberline {4.4.2}Model Weight Optimization}{16}{subsubsection.4.4.2} +\contentsline {subsubsection}{\numberline {4.4.3}Randomized Ensemble Selection}{17}{subsubsection.4.4.3} +\contentsline {section}{\numberline {5}Code Description}{17}{section.5} +\contentsline {subsection}{\numberline {5.1}Setting}{18}{subsection.5.1} +\contentsline {subsection}{\numberline {5.2}Feature}{18}{subsection.5.2} +\contentsline {subsection}{\numberline {5.3}Model}{19}{subsection.5.3} +\contentsline {section}{\numberline {6}Dependencies}{20}{section.6} +\contentsline {section}{\numberline {7}How To Generate the Solution (aka README file)}{21}{section.7} +\contentsline {section}{\numberline {8}Additional Comments and Observations}{21}{section.8} +\contentsline {section}{\numberline {9}Simple Features and Methods}{21}{section.9} +\contentsline {section}{\numberline {10}Acknowledgement}{22}{section.10} diff --git 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+File: tikzlibrarybackgrounds.code.tex 2010/02/08 v2.10 (rcs-revision 1.2) +\pgf@layerbox@background=\box38 +\pgf@layerboxsaved@background=\box39 +) +(D:\CTEX\MiKTeX\tex\generic\pgf\frontendlayer\tikz\libraries\tikzlibraryautomat +a.code.tex +File: tikzlibraryautomata.code.tex 2008/07/14 v2.10 (rcs-revision 1.3) + +(D:\CTEX\MiKTeX\tex\generic\pgf\frontendlayer\tikz\libraries\tikzlibraryshapes. +multipart.code.tex +File: tikzlibraryshapes.multipart.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) + +(D:\CTEX\MiKTeX\tex\generic\pgf\libraries\shapes\pgflibraryshapes.multipart.cod +e.tex +File: pgflibraryshapes.multipart.code.tex 2010/01/07 v2.10 (rcs-revision 1.2) +\pgfnodepartlowerbox=\box40 +\pgfnodeparttwobox=\box41 +\pgfnodepartthreebox=\box42 +\pgfnodepartfourbox=\box43 +\pgfnodeparttwentybox=\box44 +\pgfnodepartnineteenbox=\box45 +\pgfnodeparteighteenbox=\box46 +\pgfnodepartseventeenbox=\box47 +\pgfnodepartsixteenbox=\box48 +\pgfnodepartfifteenbox=\box49 +\pgfnodepartfourteenbox=\box50 +\pgfnodepartthirteenbox=\box51 +\pgfnodeparttwelvebox=\box52 +\pgfnodepartelevenbox=\box53 +\pgfnodeparttenbox=\box54 +\pgfnodepartninebox=\box55 +\pgfnodeparteightbox=\box56 +\pgfnodepartsevenbox=\box57 +\pgfnodepartsixbox=\box58 +\pgfnodepartfivebox=\box59 +))) +(D:\CTEX\MiKTeX\tex\generic\pgfplots\libs\tikzlibrarypgfplots.external.code.tex + +(D:\CTEX\MiKTeX\tex\latex\pgf\frontendlayer\libraries\tikzlibraryexternal.code. +tex +(D:\CTEX\MiKTeX\tex\generic\pgf\frontendlayer\tikz\libraries\tikzexternalshared +.code.tex +\tikzexternal@outfile=\write4 +))) +No file 35lb_subs.aux. +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 17. +LaTeX Font Info: ... okay on input line 17. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 17. +LaTeX Font Info: ... okay on input line 17. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 17. +LaTeX Font Info: ... okay on input line 17. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 17. +LaTeX Font Info: ... okay on input line 17. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 17. +LaTeX Font Info: ... okay on input line 17. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 17. +LaTeX Font Info: ... okay on input line 17. +ABD: EveryShipout initializing macros +(D:\CTEX\MiKTeX\tex\context\base\supp-pdf.mkii +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count132 +\scratchdimen=\dimen174 +\scratchbox=\box60 +\nofMPsegments=\count133 +\nofMParguments=\count134 +\everyMPshowfont=\toks36 +\MPscratchCnt=\count135 +\MPscratchDim=\dimen175 +\MPnumerator=\count136 +\makeMPintoPDFobject=\count137 +\everyMPtoPDFconversion=\toks37 +) +===== 'mode=convert with system call': Invoking 'pdflatex -enable-write18 -halt +-on-error -interaction=batchmode -jobname "35lb_subs-figure0" "\def\tikzexterna +lrealjob{35lb_subs}\input{35lb_subs}"' ======== +runsystem(pdflatex -enable-write18 -halt-on-error -interaction=batchmode -jobna +me "35lb_subs-figure0" "\def\tikzexternalrealjob{35lb_subs}\input{35lb_subs}"). +..executed. + +[1{D:/CTEX/UserData/pdftex/config/pdftex.map{Unicode.sfd}{UGBK.sfd}} ] +(F:\CrowdFolwer\cleanup\Fig\35lb_subs.aux) + +LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. + + ) +Here is how much of TeX's memory you used: + 17297 strings out of 495354 + 411800 string characters out of 3183859 + 502484 words of memory out of 3000000 + 20151 multiletter control sequences out of 15000+200000 + 3640 words of font info for 14 fonts, out of 3000000 for 9000 + 14 hyphenation exceptions out of 8191 + 63i,5n,74p,654b,609s stack positions out of 5000i,500n,10000p,200000b,50000s + +Output written on 35lb_subs.pdf (1 page, 48066 bytes). +PDF statistics: + 31 PDF objects out of 1000 (max. 8388607) + 0 named destinations out of 1000 (max. 500000) + 18 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/Fig/35lb_subs.pdf b/Fig/35lb_subs.pdf new file mode 100644 index 0000000..4d6df49 Binary files /dev/null and b/Fig/35lb_subs.pdf differ diff --git a/Fig/35lb_subs.synctex.gz b/Fig/35lb_subs.synctex.gz new file mode 100644 index 0000000..92a662f Binary files /dev/null and b/Fig/35lb_subs.synctex.gz differ diff --git a/Fig/35lb_subs.tex b/Fig/35lb_subs.tex new file mode 100644 index 0000000..3849ca7 --- /dev/null +++ b/Fig/35lb_subs.tex @@ -0,0 +1,49 @@ +\documentclass{article} +\usepackage[cmex10]{amsmath} +% for dvipdfm: +% \def\pgfsysdriver{pgfsys-dvipdfm.def} +\usepackage{pgfplots} +\usepackage{subfigure} +\usepackage{tikz} +\usetikzlibrary{backgrounds,automata} + +\usepgfplotslibrary{external} +\tikzexternalize[shell escape=-enable-write18] +\tikzset{external/force remake} + +\pgfplotsset{compat=1.3}% <-- moves axis labels near ticklabels (respects tick label widt + + +\begin{document} +\begin{figure} +\centering +\begin{tikzpicture} +\begin{axis}[ + xmin=0, + xmax=36, + %xtick={0,5,...,35}, + %xticklabel=$\pgfmathprintnumber{\tick}$, + xtick=\empty, + ylabel=$\kappa$, + xlabel=$\longrightarrow \text{Time} \longrightarrow$, + grid=major, + grid style={dashed}, + legend columns=3, +legend style={at={(0.5,1.05)},anchor=south} + ] +\pgfplotstableread{35lb_subs.txt}\loadedtable +\addplot +[error bars/.cd, +y dir=both,y explicit, +error mark=-] table[x index=0,y index=1,y error index=2,header=false] {\loadedtable}; +\addplot +[smooth] table[x index=0,y index=3,header=false] {\loadedtable}; +\addplot +[smooth] table[x index=0,y index=4,header=false] {\loadedtable}; +\legend{% +CV mean,% +Public LB,% +Private LB} +\end{axis} +\end{tikzpicture} +\caption{CV mean, Public LB, and Private LB scores of our 35 best Public LB submissions generating with randomized ensemble selection. One standard deviation of the CV score is plotted via error bar.} +\label{fig:CV_Public_Private} +\end{figure} +\end{document} \ No newline at end of file diff --git a/Fig/35lb_subs.txt b/Fig/35lb_subs.txt new file mode 100644 index 0000000..e76d50f --- /dev/null +++ b/Fig/35lb_subs.txt @@ -0,0 +1,35 @@ +35 0.694852 0.006199 0.70539 0.72281 +34 0.695003 0.006189 0.70637 0.72347 +33 0.694802 0.005755 0.70406 0.72189 +32 0.695638 0.005536 0.70664 0.72065 +31 0.695042 0.006183 0.70683 0.72472 +30 0.694117 0.005727 0.70583 0.7197 +29 0.695294 0.006292 0.705 0.72162 +28 0.695692 0.006294 0.70425 0.72245 +27 0.694882 0.005953 0.70485 0.72233 +26 0.693893 0.005355 0.70476 0.72141 +25 0.695437 0.007569 0.70488 0.71911 +24 0.694748 0.006247 0.70406 0.72329 +23 0.694565 0.006675 0.70601 0.72166 +22 0.694957 0.006551 0.70573 0.72411 +21 0.695256 0.006422 0.70669 0.72425 +20 0.694967 0.005225 0.70568 0.72212 +19 0.694801 0.006665 0.70626 0.72379 +18 0.694584 0.006117 0.70569 0.721 +17 0.694973 0.006495 0.70619 0.72206 +16 0.692595 0.00585 0.70648 0.7181 +15 0.692936 0.006044 0.70684 0.71782 +14 0.692952 0.00605 0.70603 0.71936 +13 0.692623 0.006192 0.70705 0.71935 +12 0.692785 0.006242 0.70524 0.71805 +11 0.692111 0.006602 0.7049 0.72123 +10 0.691755 0.006338 0.70577 0.72013 +9 0.691721 0.006553 0.70767 0.71913 +8 0.691666 0.006478 0.70754 0.7198 +7 0.693199 0.006498 0.70406 0.71918 +6 0.691941 0.006463 0.70523 0.71945 +5 0.692546 0.006059 0.70386 0.71695 +4 0.691691 0.005037 0.70453 0.71933 +3 0.692227 0.006339 0.70444 0.71875 +2 0.691905 0.006448 0.70507 0.71593 +1 0.692136 0.006491 0.70448 0.7173 diff --git a/Fig/compare_MSE_Decoding.jpg b/Fig/compare_MSE_Decoding.jpg new file mode 100644 index 0000000..82f562b Binary files /dev/null and b/Fig/compare_MSE_Decoding.jpg differ diff --git a/Fig/compare_MSE_Decoding.pdf b/Fig/compare_MSE_Decoding.pdf new file mode 100644 index 0000000..5f01622 Binary files /dev/null and b/Fig/compare_MSE_Decoding.pdf differ diff --git a/Fig/compare_MSE_decoding.py b/Fig/compare_MSE_decoding.py new file mode 100644 index 0000000..dd875b3 --- /dev/null +++ b/Fig/compare_MSE_decoding.py @@ -0,0 +1,117 @@ + +""" +__file__ + + compare_MSE_decoding.py + +__description__ + + This file compares various decoding method for MSE, i.e., rounding, ceiling, and cdf decoding methods. + +__author__ + + Chenglong Chen < c.chenglong@gmail.com > + +""" + +import sys +sys.path.append("../Code/Model/") +from ml_metrics import quadratic_weighted_kappa +import numpy as np +import pandas as pd +import scipy as sp +from matplotlib import pyplot as plt +from matplotlib.figure import figaspect + +##################### +## Decoding Method ## +##################### +#### decoding method for ranking and regression +def getScore(pred, cdf, valid=False): + num = pred.shape[0] + output = np.asarray([4]*num, dtype=int) + rank = pred.argsort() + output[rank[:int(num*cdf[0]-1)]] = 1 + output[rank[int(num*cdf[0]):int(num*cdf[1]-1)]] = 2 + output[rank[int(num*cdf[1]):int(num*cdf[2]-1)]] = 3 + if valid: + cutoff = [ pred[rank[int(num*cdf[i]-1)]] for i in range(3) ] + return output, cutoff + return output + + +n_runs = 3 +n_folds = 3 +## use (reproduced) best single model +best = "valid.raw.pred.[Pre@solution]_[Feat@svd100_and_bow_Jun27]_[Model@reg_xgb_linear]_[Id@24].csv" + + +################### +## Compute Kappa ## +################### +kappa_cdf_cv = np.zeros((n_runs, n_folds)) +kappa_rounding_cv = np.zeros((n_runs, n_folds)) +kappa_ceiling_cv = np.zeros((n_runs, n_folds)) +for run in range(n_runs): + for fold in range(n_folds): + pred_file = "../Output/Best_Single_Model/Run%s/Fold%s/%s" % (run+1, fold+1, best) + cdf_file = "../Output/Best_Single_Model/Run%s/Fold%s/valid.cdf" % (run+1, fold+1) + + df = pd.read_csv(pred_file) + Y_valid = df["target"].values + Y_pred_raw = df["prediction"].values + + cdf_valid = np.loadtxt(cdf_file, dtype=float) + + Y_pred_cdf = getScore(Y_pred_raw, cdf_valid) + Y_pred_rounding = np.round(Y_pred_raw).astype(int) + Y_pred_ceiling = np.ceil(Y_pred_raw).astype(int) + + Y_pred_rounding = sp.maximum(Y_pred_rounding, 1) + Y_pred_ceiling = sp.maximum(Y_pred_ceiling, 1) + + kappa_cdf_cv[run, fold] = quadratic_weighted_kappa(Y_valid, Y_pred_cdf) + kappa_rounding_cv[run, fold] = quadratic_weighted_kappa(Y_valid, Y_pred_rounding) + kappa_ceiling_cv[run, fold] = quadratic_weighted_kappa(Y_valid, Y_pred_ceiling) + + +print("Kappa using cdf decoding method: %.6f (%.6f)" % (np.mean(kappa_cdf_cv), np.std(kappa_cdf_cv))) +print("Kappa using rounding decoding method: %.6f (%.6f)" % (np.mean(kappa_rounding_cv), np.std(kappa_rounding_cv))) +print("Kappa using ceiling decoding method: %.6f (%.6f)" % (np.mean(kappa_ceiling_cv), np.std(kappa_ceiling_cv))) + + +################### +## Visualization ## +################### +w, h = figaspect(1) +plt.figure(figsize=(w,h)) +f, axarr = plt.subplots(4,4, sharex=True) +## raw prediction +axarr[0,0].hist(Y_pred_raw[Y_valid==1]) +axarr[0,0].set_title("Relevance = 1") +axarr[0,0].set_ylabel("Raw") +axarr[0,1].hist(Y_pred_raw[Y_valid==2]) +axarr[0,1].set_title("Relevance = 2") +axarr[0,2].hist(Y_pred_raw[Y_valid==3]) +axarr[0,2].set_title("Relevance = 3") +axarr[0,3].hist(Y_pred_raw[Y_valid==4]) +axarr[0,3].set_title("Relevance = 4") +## rounding decoding +axarr[1,0].hist(Y_pred_rounding[Y_valid==1]) +axarr[1,0].set_ylabel("Rounding") +axarr[1,1].hist(Y_pred_rounding[Y_valid==2]) +axarr[1,2].hist(Y_pred_rounding[Y_valid==3]) +axarr[1,3].hist(Y_pred_rounding[Y_valid==4]) +## ceiling decoding +axarr[2,0].hist(Y_pred_ceiling[Y_valid==1]) +axarr[2,0].set_ylabel("Ceiling") +axarr[2,1].hist(Y_pred_ceiling[Y_valid==2]) +axarr[2,2].hist(Y_pred_ceiling[Y_valid==3]) +axarr[2,3].hist(Y_pred_ceiling[Y_valid==4]) +## cdf decoding +axarr[3,0].hist(Y_pred_cdf[Y_valid==1]) +axarr[3,0].set_ylabel("CDF") +axarr[3,1].hist(Y_pred_cdf[Y_valid==2]) +axarr[3,2].hist(Y_pred_cdf[Y_valid==3]) +axarr[3,3].hist(Y_pred_cdf[Y_valid==4]) +plt.show() \ No newline at end of file diff --git a/Output/Best_Single_Model/All/test.cdf b/Output/Best_Single_Model/All/test.cdf new file mode 100644 index 0000000..8f87e17 --- /dev/null +++ b/Output/Best_Single_Model/All/test.cdf @@ -0,0 +1,4 @@ +7.619610159480212641e-02 +2.215002953337271152e-01 +3.924985233313644239e-01 +1.000000000000000000e+00 diff --git a/Output/Best_Single_Model/All/test.pred.[Pre@solution]_[Feat@svd100_and_bow_Jun27]_[Model@reg_xgb_linear]_[Id@24].csv b/Output/Best_Single_Model/All/test.pred.[Pre@solution]_[Feat@svd100_and_bow_Jun27]_[Model@reg_xgb_linear]_[Id@24].csv new file mode 100644 index 0000000..abe86e2 --- /dev/null +++ b/Output/Best_Single_Model/All/test.pred.[Pre@solution]_[Feat@svd100_and_bow_Jun27]_[Model@reg_xgb_linear]_[Id@24].csv @@ -0,0 +1,22514 @@ +id,prediction +3,19350 +6,13267 +9,5106 +11,5343 +12,16716 +14,14056 +15,17766 +16,3731 +18,14907 +19,8308 +21,2418 +22,10450 +23,22422 +24,4396 +25,10447 +26,9830 +27,4956 +29,2130 +30,15548 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