From b9f26ec84135717a2b529f87608ece1e9cec7121 Mon Sep 17 00:00:00 2001 From: Lisa Ong <11318241+lisaong@users.noreply.github.com> Date: Mon, 12 Oct 2020 15:57:11 +0800 Subject: [PATCH] Smdl day5 3 (#17) * formatting * sinusoidal encoding * add illustration * more writeup on decoder * get predictions to print as classes * get predictions to print as classes * add note on Attention paper --- SMDL/Day5/lessons/task2/position_encoding.py | 28 +++++++++- .../Day5/lessons/task2/positional_encoding.md | 5 ++ .../Day5/lessons/task2/sinusoidal_formula.png | Bin 0 -> 95600 bytes SMDL/Day5/lessons/task2/task-info.yaml | 6 ++ SMDL/Day5/lessons/task2/task.md | 52 ++++++++++++++---- .../task2/token_n_position_embedding.png | Bin 0 -> 324524 bytes SMDL/Day5/lessons/task2/transformer.py | 13 ++++- 7 files changed, 88 insertions(+), 16 deletions(-) create mode 100644 SMDL/Day5/lessons/task2/positional_encoding.md create mode 100644 SMDL/Day5/lessons/task2/sinusoidal_formula.png create mode 100644 SMDL/Day5/lessons/task2/token_n_position_embedding.png diff --git a/SMDL/Day5/lessons/task2/position_encoding.py b/SMDL/Day5/lessons/task2/position_encoding.py index 488899b..98a3464 100644 --- a/SMDL/Day5/lessons/task2/position_encoding.py +++ b/SMDL/Day5/lessons/task2/position_encoding.py @@ -10,7 +10,33 @@ class TokenAndPositionEmbedding(Layer): def __init__(self, maxlen, vocab_size, embed_dim): super(TokenAndPositionEmbedding, self).__init__() self.token_emb = Embedding(input_dim=vocab_size, output_dim=embed_dim) - self.pos_emb = Embedding(input_dim=maxlen, output_dim=embed_dim) + self.pos_emb = Embedding(input_dim=maxlen, output_dim=embed_dim, + weights=[self.init_sinusoid_table(maxlen, embed_dim)]) + + def init_sinusoid_table(self, n_positions, embed_dim): + # Initializes the sinusoid position encoding table + # Formula: + # sin(t/10000^(2k/embed_dim)) when i=2k (even) + # cos(t/10000^(2k/embed_dim)) when i=2k+1 (odd) + # + # t = position being encoded + # i = dimension index (from 0 up to embed_dim + # k = quotient when i is divided by 2 + position_enc = np.array([ + [t / np.power(10000, 2 * (i // 2) / embed_dim) for i in range(embed_dim)] + for t in range(n_positions)]) + + # apply sine on even embedding dimensions + # [1:, means start with token index 1 (token index 0 is reserved for the padding token) + # ,0::2] means skip every 2 starting from 0th embedding dim (i.e. even embedding dim) + position_enc[1:, 0::2] = np.sin(position_enc[1:, 0::2]) + + # apply cosine on odd embedding dimensions + # [1:, means start with token index 1 (token index 0 is reserved for the padding token) + # ,1::2] means skip every 2 starting from 1st embedding dim (i.e. odd embedding dim) + position_enc[1:, 1::2] = np.cos(position_enc[1:, 1::2]) + + return position_enc def call(self, x): maxlen = tf.shape(x)[-1] diff --git a/SMDL/Day5/lessons/task2/positional_encoding.md b/SMDL/Day5/lessons/task2/positional_encoding.md new file mode 100644 index 0000000..367b228 --- /dev/null +++ b/SMDL/Day5/lessons/task2/positional_encoding.md @@ -0,0 +1,5 @@ +## Positional Encoding + +![formula](sinusoidal_formula.png) + +Reference: https://kazemnejad.com/blog/transformer_architecture_positional_encoding diff --git a/SMDL/Day5/lessons/task2/sinusoidal_formula.png b/SMDL/Day5/lessons/task2/sinusoidal_formula.png new file mode 100644 index 0000000000000000000000000000000000000000..219bd8e4ed61982547b32e71ad1535efbf81ddbf GIT binary patch literal 95600 zcmeFXXH-)`_wb9LfYKC^7K(xhNH2!ol`368x`OoHYY0W@MY@#GI|2fsi4c)qL+=oJ zXaT7K0^yC%`@H{q*Iny=zF+P+D`n=)O7`s8Gqd;XUzC=H64?X#2Y7gRWGc$9b@1@+ z0`Tzg$A}4WHT0{M+_;ZB9y&_$c-12eJGjDK8##43JiOWjlIxH6aOL~1%7z|zc+_nF zUUyVdUDP;7+Af0n1dR~*CMto1AySj zOZ1oMd);rS4ex&D#^?PkoA{r*miMLMJN!5J1z+UvJ`3e1S-l>~Xc5YIyT#N0x-dwF zUs5w!l+Wj2Pz(`pD0a(=6Xbti!Nei6|K~eiu=4+3_bg6z-VQzB1UzS=ge3Js%x}fFR;(FK1 z4dNizCHOhZpIKR2|3AGNP{}E=BI&LqWwh{bC#y&ac*Z67u;xxM=E48bi1?~Y z$3uGSW6$U*()LO46WcQsEn9@r#kai8D$?QI1r2>$3S$kt=JfyRloPKVdI?X;zfl8Y 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