From 78fc3ffa2ccec955e2dd571c8d6c25d26940c0ba Mon Sep 17 00:00:00 2001 From: NotXia <35894453+NotXia@users.noreply.github.com> Date: Fri, 15 Nov 2024 17:52:47 +0100 Subject: [PATCH] Add NLP LLM + MLM --- .../img/_bert_training.pdf | Bin 0 -> 146774 bytes .../img/_decoder_vs_encoder.pdf | Bin 0 -> 101755 bytes .../natural-language-processing/img/_lora.pdf | Bin 0 -> 14750 bytes .../img/_masked_attention.pdf | Bin 0 -> 31214 bytes src/year2/natural-language-processing/nlp.tex | 1 + .../sections/_attention.tex | 26 +++--- .../sections/_llm.tex | 80 +++++++++++++++++- .../sections/_mlm.tex | 55 ++++++++++++ 8 files changed, 151 insertions(+), 11 deletions(-) create mode 100644 src/year2/natural-language-processing/img/_bert_training.pdf create mode 100644 src/year2/natural-language-processing/img/_decoder_vs_encoder.pdf create mode 100644 src/year2/natural-language-processing/img/_lora.pdf create mode 100644 src/year2/natural-language-processing/img/_masked_attention.pdf create mode 100644 src/year2/natural-language-processing/sections/_mlm.tex diff --git a/src/year2/natural-language-processing/img/_bert_training.pdf b/src/year2/natural-language-processing/img/_bert_training.pdf new file mode 100644 index 0000000000000000000000000000000000000000..9e4bdb968b8d557fef9f4f0e5a3a4efed521eba1 GIT binary patch literal 146774 zcmeEv1yq*J);8TK-4ESe&qE_6-5t^)ozhZ*ih{JHbPGs|lme2{f^?@+B1pr3gUYMt zec$gp=X{6t|NmMai?z7#xo7rVvuDrV6MHtaDw5KyoNRn3v`zb&XDFN?4v?ei9TXuU z5WAv;NK^x{tC(0>D42LTy1Rkc)omQC>?|%)zNfo_c)n-S@Nxo@B!FUe zj#eOcEgOrw7A`6-7M2z+77k_>uAmFb7v&^vTrAAoY#bdx>mDTs)kdoV=WT+}vDXW)2Q|4vwGME{dp| zx!9PxyMln`v2g((~1w4hROaP`@2msF)$?R01%PelT!c;#Q^rv=FiJ*Xh zA0ZcWO93^Y(ceh{Z^Bg8Zf;Hj?Cf{%-etSX&F1K0#m)(VK-f9B*txh^fgG%^UJh<1 zo~#b8)IX?PQIfQ91$xBkveSQnvv<0p=-|qB36#yu(VpGY#EG4gjpG8Wy^{dYS2mVj z7u_XHb!M{rZqhkNgwEv>HPQNhlx8?#LfaY=o%>|wWeu$JX)ul*%Px~pm7dS5R z{1nbVK>WEAe?$M@qcbI)}#7rV>8H8*3ou(PnYaBy=40CEBV&CLWX9bN2A0FD5H zZ)an6IV9NuOuuvM4`y641SsZa<7Q{^d-4^p#O>Vv{N?Jaoy~;=3fP%ASP4^kvYK01 znz-A!{mSr*tQS8*>=!-uCu&0Me_g*2kZg9LRUBRZT>Yi=t6MmWTt3*@hF#= zg79BbxFBu*hrs_0`9C53-i#kZ??2P-zeMr9Ex(M&KLB1f_m?j}6^Xr*qT-c={3gCX zN2|U4_W`S@D4+(Ya+`~hE@5Zl>MBh2v(J8$$&0}aD7k9NitumS9bK8W|y${GID z;TML?^%tFg@%d*_aTm9nj-Egn4mOU9pR2!ooLoOr_#r=^0E##5EG*3br4ka34sI7C z6U29kie1LV(cKBe|NTYL!raE>J2?mh#LdY8;sJv}yZ{cME)^5N8oT|p*=iQ9j_xi$ zjkA=en~b{Kg^9f|)oM~4An_@PPp?|AfQO0Ro!$0~0MyQR1pufJ==q;tfNWO)_iVf~q;2fnfXOPmv>h;Z zB`wSx&4G#dkEta;4+q~bQ%leB4MTaybpe;@V{K2eH)M?z$8gZ)$+h7uLB*uzL4nFa zviOI`1@yAA8y-chW1Avfv&$*RhE*L*_~8^q`SUYr>lK0LZ_h=EPMW^0d@jvv5?*UM znHg$2BN5u$QeHlMKKHz-`nIl_Qmu}5nglET0e#&X`(EE|<;KMrWDIhZb^A9)EGJc= z^JH(1-sqN{ABjFcU)oAL|J>Po7JLS2535lnI6vzV&QlQ$|m3)*wwv)J4ilu>YsEb`oz{esCSR6pN98Z zoL;O_LLV=UAzXA@Vxv`JayFuM=ICFmiybW(a`{}Zg><+$WGGkc(EVapzb$Ru@W>`F zqWi^H1HKWywzb9P(_8Dqu7~bv-4-AaPaCv3djbu{Tx@gY1iH6PdE^cDm&&(Nq)qP! z6|U@j7D^};7y8(KL+0hVxas{y@%i*L=Hjmg)f#KNQ?kXE&wRr%oxC|KPZyAd?xJnU zu8Tp~hPl4gnX!-PnvUAsEb0q*o<6)`uV}}+;WSdYa__9~c0BRRbZo(wN8WO5aHH1d zK0DL7%{}j8B1b}22wZoF&UaALtx<%=(mmxMVNUpEv_Um~ermUTGTGP8dp9aiv3JMR z!`>T<^W{8Co586pDCQRwo8SeM@EZAWqq%JAqHDAZpGobc#?m z27%%=1qH}@yx1&w8RpEqx49p~!MqjZa$L<@d&B%5PNol|&pa7E{d``DPS(-wF~Wo6 zuLxVnjjbOjdCYBm5%L#D!4g?pNC z8a+>Et`!?Xzms~uM$*oPvY$C$#RpB4n|$I3{xm z_^BjrFq5JnO1fbvk54X*`szCtnAJ#±PXd9j={{UAC;CGaGA2Q+#Pv|%o^X)R*9 zcNwQ0V?XH^`;xhPHxHq^kSXszQj$(-H|A6-O&$|{B@}#$Ow<;Uiap*0FWi4}S4@u? 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\texttt{scores}(\vec{x}_i, \vec{x}_j) = -\infty \\ + \alpha_{i,j} = \texttt{softmax}_j\left( \left[\texttt{scores}(\vec{x}_i, \vec{x}_1), \dots, \texttt{scores}(\vec{x}_i, \vec{x}_T)\right] \right) \\ + \vec{a}_i = \sum_{t: t \leq i} \alpha_{i,t} \vec{v}_t \end{gathered} \] + + \begin{figure}[H] + \centering + \includegraphics[width=0.2\linewidth]{./img/_masked_attention.pdf} + \caption{Score matrix with causal attention} + \end{figure} \end{description} @@ -195,7 +201,7 @@ \begin{figure}[H] \centering - \includegraphics[width=0.4\linewidth]{./img/_positional_encoding.pdf} + \includegraphics[width=0.45\linewidth]{./img/_positional_encoding.pdf} \end{figure} \item[Transformer block] \marginnote{Transformer block} @@ -206,7 +212,7 @@ \begin{figure}[H] \centering - \includegraphics[width=0.5\linewidth]{./img/_multi_head_attention.pdf} + \includegraphics[width=0.6\linewidth]{./img/_multi_head_attention.pdf} \end{figure} \item[Feedforward layer] diff --git a/src/year2/natural-language-processing/sections/_llm.tex b/src/year2/natural-language-processing/sections/_llm.tex index 2080d51..adc57b8 100644 --- a/src/year2/natural-language-processing/sections/_llm.tex +++ b/src/year2/natural-language-processing/sections/_llm.tex @@ -108,7 +108,85 @@ $k$ is fixed and does not account for the shape of the distribution. \end{remark} - \item[Top-p sampling] + \item[Top-p/nucleus sampling] Consider the most likely words such that their probability mass adds up to $p$. Then, apply random sampling on their normalized distribution. \end{description} +\end{description} + + + +\section{Training} + + +\subsection{Pre-training} + +\begin{description} + \item[Pre-training] \marginnote{Pre-training} + Use self-supervision and teacher forcing to train the whole context window in parallel on a large text corpus. + + \begin{remark} + Results are highly dependent on the training corpora. Important aspects to consider are: + \begin{descriptionlist} + \item[Language] Most of the available data is in English. + \item[Data quality] Prefer high-quality sources such as Wikipedia or books. Boilerplate removal and deduplication might be needed. + \item[Safety filtering] Toxicity removal might be needed + \item[Ethical and legal issues] Use of copyrighted material, permission from data owners, use of private information, \dots + \end{descriptionlist} + \end{remark} + + \item[Scaling laws] \marginnote{Scaling laws} + Empirical laws that put in relationship: + \begin{itemize} + \item Non-embedding parameters $N$ ($N \approx 2 d_\text{model} n_\text{layer} (2 d_\text{attention} + d_\text{ff})$), + \item Training data size $D$, + \item Compute budget $C$ (i.e., training iterations). + \end{itemize} + By keeping two of the three factors constant, the loss $\mathcal{L}$ of an LLM can be estimated as a function of the third variable: + \[ + \mathcal{L}(N) = \left( \frac{N_c}{N} \right)^{\alpha N} + \qquad + \mathcal{L}(D) = \left( \frac{D_c}{D} \right)^{\alpha D} + \qquad + \mathcal{L}(C) = \left( \frac{C_c}{C} \right)^{\alpha C} + \] +\end{description} + + +\subsection{Fine-tuning} + +\begin{description} + \item[Fine-tuning] \marginnote{Fine-tuning} + Specialize an LLM to a specific domain or task. + + \begin{description} + \item[Continued pre-training] \marginnote{Continued pre-training} + Continue pre-training with a domain-specific corpus. + + \item[Model adaptation] + Specialize a model by adding new learnable parameters. + + \begin{description} + \item[Parameter-efficient fine-tuning (PEFT)] \marginnote{Parameter-efficient fine-tuning (PEFT)} + Continue training a selected subset of parameters. + + \begin{description} + \item[Low-rank adaptation (LoRA)] \marginnote{Low-rank adaptation (LoRA)} + Method to update weights by learning an offset that uses fewer parameters. + + Consider a weight matrix $\matr{W} \in \mathbb{R}^{d \times k}$, LoRA decomposes the update into two learnable matrices $\matr{A} \in \mathbb{R}^{d \times r}$ and $\matr{B} \in \mathbb{R}^{r \times k}$ (with $r \ll d, k$). Weights update is performed as: + \[ \matr{W}_{\text{fine-tuned}} = \matr{W}_{\text{pre-trained}} + \matr{AB} \] + + \begin{figure}[H] + \centering + \includegraphics[width=0.35\linewidth]{./img/_lora.pdf} + \end{figure} + \end{description} + + \item[Task-specific fine-tuning] \marginnote{Task-specific fine-tuning} + Add a new trainable head on top of the model. + \end{description} + + \item[Supervised fine-tuning] \marginnote{Supervised fine-tuning} + Continue training using a supervised dataset to align the model to human's expectation. + \end{description} \end{description} \ No newline at end of file diff --git a/src/year2/natural-language-processing/sections/_mlm.tex b/src/year2/natural-language-processing/sections/_mlm.tex new file mode 100644 index 0000000..faafefe --- /dev/null +++ b/src/year2/natural-language-processing/sections/_mlm.tex @@ -0,0 +1,55 @@ +\chapter{Masked language models} + + + +\section{Bidirectional transformer encoder} + +\begin{description} + \item[Transformer encoder] \marginnote{Transformer encoder} + Architecture that produces contextual embeddings by considering both left-to-right and right-to-left context. + + \begin{remark} + This architecture does feature extraction and is more suited for classification tasks. + \end{remark} + + \begin{description} + \item[Architecture] + Similar to a transformer decoder, but self-attention is not causal. + + \begin{figure}[H] + \centering + \includegraphics[width=0.75\linewidth]{./img/_decoder_vs_encoder.pdf} + \end{figure} + \end{description} +\end{description} + + +\subsection{Masked language modelling} + +\begin{description} + \item[Masked language modelling] \marginnote{Masked language modelling} + Main training task of transformer encoders. It consists of predicting missing or corrupted tokens in a sequence. + + \begin{remark} + Transformer encoders output embeddings. For training purposes, a head to output a distribution over the vocabulary is added. + \end{remark} + + \begin{example} + Given a training corpus, BERT is trained by randomly sampling $15\%$ of the tokens in the training data and either: + \begin{itemize} + \item Mask it with a special \texttt{[MASK]} token ($80\%$ of the time). + \item Replace it with a different token ($10\%$ of the time). + \item Do nothing ($10\%$ of the time). + \end{itemize} + + \begin{figure}[H] + \centering + \includegraphics[width=0.6\linewidth]{./img/_bert_training.pdf} + \end{figure} + + \indenttbox + \begin{remark} + BERT's training approach is inefficient as masks are determined before training and only $15\%$ of the corpus tokens are actually used for training. Other models (e.g., RoBERTa), dynamically determine the mask at training time, allowing for more variety. + \end{remark} + \end{example} +\end{description} \ No newline at end of file