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\textbf{0.685} \\ + Ohsumed & 0.433 & \textbf{0.521} \\ + R8 & 0.903 & \textbf{0.954} \\ + R52 & 0.815 & \textbf{0.896} \\ + \hline + \end{tabular} \end{frame} \begin{frame} \frametitle{Actually\dots} + \begin{itemize} + \item Experiments use $k=2$ with top-2 accuracy rather than randomly breaking ties! + \item Contamination between training and test sets! + \item gzip is not great for text classification, but still an interesting idea + \end{itemize} \end{frame} \begin{frame} \frametitle{Connections between compression and ML} \begin{itemize} - \item Autoencoders + \item Autoencoders, dimensionality reduction + \item Compressors can generate text! + \item LLMs can do compression! + \item Both compressors and LLMs model the probability distribution of the next character given the current text + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{ziplm: text generation using gzip} + \begin{itemize} + \item Idea: generate character that makes text compress the best + \item Results with gzip: theudcanvas. ;cm,zumhmcyoetter toauuo long a one aay,;wvbu.mvns. x the dtls and enso.;k.like bla.njv + \end{itemize} +\end{frame} + +\begin{frame}[fragile] + \frametitle{ziplm code} + \begin{python} +class ZipModel: + def logprobs(self, prefix="", temperature=1): + code_lengths = np.array([ + len(self.compressor.compress("".join([self.training, prefix, v]).encode())) + for v in self.vocabulary + ]) + return scipy.special.log_softmax(-code_lengths*self.conversion*(1/temperature)) + def sample(self, prefix="", temperature=1): + scores = self.logprobs(prefix, temperature=temperature) + i = np.random.choice(range(len(self.vocabulary)), p=np.exp(scores)) + return self.vocabulary[i] + \end{python} +\end{frame} + +\begin{frame} + \frametitle{Compression using LLMs} + \begin{itemize} + \item Idea: LLM generates list of candidate tokens, store the index of the token that the text uses + \item Very predictable text (i.e. digits of $\pi$) turn into 11111111111111111 + \item Then run that through gzip + \item Amazing compression ratio, but slow + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{References} + \begin{itemize} + \item \href{https://arxiv.org/abs/2212.09410}{Less is More: Parameter-Free Text Classification with Gzip} + \item \href{https://kenschutte.com/gzip-knn-paper/}{Bad numbers in the "gzip beats BERT" paper?} + \item \href{https://github.com/Futrell/ziplm}{ziplm GitHub} + \item \href{https://bellard.org/nncp/nncp.pdf}{Lossless Data Compression with Neural Networks} + \item \href{https://arxiv.org/abs/2309.10668}{Language Modeling Is Compression} \end{itemize} \end{frame}