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508 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
508 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
509 |
509 |
510 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
510 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
511 \mode<presentation>{ |
511 \mode<presentation>{ |
512 \begin{frame}[c] |
512 \begin{frame}[c] |
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513 \frametitle{Example} |
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514 |
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515 \begin{center} |
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516 \begin{tabular}{l|l} |
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517 Name & Has the disease?\\\hline |
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518 Alice & yes\\ |
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519 Bob & no\\ |
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520 Charlie & yes\\ |
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521 Eve & no\\ |
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522 Chandler & yes\\ |
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523 \end{tabular} |
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524 \end{center} |
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525 |
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526 How many people have a disease? |
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527 |
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528 \end{frame}} |
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529 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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530 |
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531 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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532 \mode<presentation>{ |
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533 \begin{frame}[c] |
513 \frametitle{Adding Noise} |
534 \frametitle{Adding Noise} |
514 |
535 |
515 Adding noise is not as trivial as one would wish: |
536 Adding noise is not as trivial as one would wish: |
516 |
537 |
517 \begin{itemize} |
538 \begin{itemize} |
518 \item If I ask how many of three have seen the Gangnam video and get a result |
539 \item If I ask how many of three have a disease and get a result |
519 as follows |
540 as follows |
520 |
541 |
521 \begin{center} |
542 \begin{center} |
522 \begin{tabular}{l|c} |
543 \begin{tabular}{l|c} |
523 Alice & yes\\ |
544 Alice & yes\\ |
528 |
549 |
529 then I have to add a noise of \bl{$1$}. So answers would be in the |
550 then I have to add a noise of \bl{$1$}. So answers would be in the |
530 range of \bl{$1$} to \bl{$3$} |
551 range of \bl{$1$} to \bl{$3$} |
531 |
552 |
532 \bigskip |
553 \bigskip |
533 \item But if I ask five questions for all the dataset (has seen Gangnam video, is male, below 30, \ldots), |
554 \item But if I ask five questions for all the dataset (has the disease, is male, below 30, \ldots), |
534 then one individual can change the dataset by \bl{$5$} |
555 then one individual can change the dataset by \bl{$5$} |
535 \end{itemize} |
556 \end{itemize} |
536 |
557 |
537 \end{frame}} |
558 \end{frame}} |
538 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
559 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |