diff --git a/appendix-D/01_main-chapter-code/appendix-D.ipynb b/appendix-D/01_main-chapter-code/appendix-D.ipynb index 95bca82..09db8b5 100644 --- a/appendix-D/01_main-chapter-code/appendix-D.ipynb +++ b/appendix-D/01_main-chapter-code/appendix-D.ipynb @@ -180,18 +180,37 @@ "id": "5bf3a8da-abc4-4b80-a5d8-f1cc1c7cc5f3", "metadata": {}, "source": [ - "- Typically, the number of warmup steps is between 10% and 20% of the total number of steps\n", + "- Typically, the number of warmup steps is between 0.1% to 10% of the total number of steps\n", "- We can compute the increment as the difference between the `peak_lr` and `initial_lr` divided by the number of warmup steps" ] }, { "cell_type": "code", "execution_count": 5, + "id": "5f6d083f-1b25-4c23-b46d-ef7783446690", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "27\n" + ] + } + ], + "source": [ + "total_steps = len(train_loader) * n_epochs * train_loader.batch_size\n", + "warmup_steps = int(0.1 * total_steps) # 10% warmup\n", + "print(warmup_steps)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, "id": "e075f80e-a398-4809-be1d-8019e1d31c90", "metadata": {}, "outputs": [], "source": [ - "warmup_steps = 20\n", "lr_increment = (peak_lr - initial_lr) / warmup_steps\n", "\n", "global_step = -1\n", @@ -220,13 +239,13 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "cb6da121-eeed-4023-bdd8-3666c594b4ed", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -268,7 +287,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "id": "4e8d2068-a057-4abf-b478-f02cc37191f6", "metadata": {}, "outputs": [], @@ -306,13 +325,13 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "id": "0e779e33-8a44-4984-bb23-be0603dc4158", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -397,7 +416,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "e199e1ff-58c4-413a-855e-5edbe9292649", "metadata": {}, "outputs": [], @@ -422,7 +441,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "e70729a3-24d1-411d-a002-2529cd3a8a9e", "metadata": {}, "outputs": [ @@ -458,7 +477,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "fa81ef8b-4280-400f-a93e-5210f3e62ff0", "metadata": {}, "outputs": [ @@ -493,7 +512,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "46eb9c84-a293-4016-a523-7ad726e171e9", "metadata": {}, "outputs": [], @@ -502,7 +521,7 @@ "\n", "\n", "def train_model(model, train_loader, val_loader, optimizer, device, n_epochs,\n", - " eval_freq, eval_iter, start_context, tokenizer, warmup_steps=10,\n", + " eval_freq, eval_iter, start_context, tokenizer, warmup_steps,\n", " initial_lr=3e-05, min_lr=1e-6):\n", "\n", " train_losses, val_losses, track_tokens_seen, track_lrs = [], [], [], []\n", @@ -572,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "id": "55fcd247-ba9d-4b93-a757-0f7ce04fee41", "metadata": {}, "outputs": [ @@ -581,46 +600,46 @@ "output_type": "stream", "text": [ "Ep 1 (Iter 000000): Train loss 10.934, Val loss 10.939\n", - "Ep 1 (Iter 000005): Train loss 8.529, Val loss 8.843\n", + "Ep 1 (Iter 000005): Train loss 9.151, Val loss 9.461\n", "Every effort moves you,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n", - "Ep 2 (Iter 000010): Train loss 6.400, Val loss 6.825\n", - "Ep 2 (Iter 000015): Train loss 6.116, Val loss 6.861\n", - "Every effort moves you,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n", - "Ep 3 (Iter 000020): Train loss 6.033, Val loss 6.904\n", - "Ep 3 (Iter 000025): Train loss 5.915, Val loss 6.851\n", - "Every effort moves you, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the, the\n", - "Ep 4 (Iter 000030): Train loss 5.375, Val loss 6.815\n", - "Ep 4 (Iter 000035): Train loss 5.001, Val loss 6.701\n", - "Every effort moves you. \n", - "Ep 5 (Iter 000040): Train loss 4.993, Val loss 6.641\n", - "Every effort moves you of the \n", - "Ep 6 (Iter 000045): Train loss 3.872, Val loss 6.508\n", - "Ep 6 (Iter 000050): Train loss 3.636, Val loss 6.466\n", - "Every effort moves you know to see and in spite of his pictures--I looked up the end of his pictures--and by me to see it was. \n", - "Ep 7 (Iter 000055): Train loss 3.803, Val loss 6.266\n", - "Ep 7 (Iter 000060): Train loss 1.846, Val loss 6.334\n", - "Every effort moves you know it was his pictures--I must have to the fact the picture--had not till, when I felt to me to have that, in the moment--as Jack himself, as once one had been the fact, and his own he was his\n", - "Ep 8 (Iter 000065): Train loss 1.565, Val loss 6.278\n", - "Ep 8 (Iter 000070): Train loss 2.342, Val loss 6.286\n", - "Every effort moves you know,\" was one of the axioms he said--as such--had not to my work, and in fact, and that, in the moment--as Jack himself, as once one had longed to say: \"Be dissatisfied with your\n", - "Ep 9 (Iter 000075): Train loss 1.043, Val loss 6.323\n", - "Ep 9 (Iter 000080): Train loss 0.780, Val loss 6.375\n", - "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" \"Oh, I felt him back his head to look up at the honour being _mine_--because he had always his\n", - "Ep 10 (Iter 000085): Train loss 0.493, Val loss 6.467\n", - "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" \"Oh, and I looked at the donkey again. I saw that, and down the room, when I\n", - "Ep 11 (Iter 000090): Train loss 0.434, Val loss 6.547\n", - "Ep 11 (Iter 000095): Train loss 0.250, Val loss 6.602\n", - "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He placed them at my elbow and as I turned, my eye fell on a small picture\n", - "Ep 12 (Iter 000100): Train loss 0.242, Val loss 6.631\n", - "Ep 12 (Iter 000105): Train loss 0.237, Val loss 6.630\n", + "Ep 2 (Iter 000010): Train loss 7.949, Val loss 8.184\n", + "Ep 2 (Iter 000015): Train loss 6.362, Val loss 6.876\n", + "Every effort moves you,,,,,,,,,,,,,,,,,,, the,,,,,,,,, the,,,,,,,,,,, the,,,,,,,,\n", + "Ep 3 (Iter 000020): Train loss 5.851, Val loss 6.607\n", + "Ep 3 (Iter 000025): Train loss 5.750, Val loss 6.634\n", + "Every effort moves you. \"I\"I and I had to the to the to the and the of the to the of the to Gisburn, and the of the the of the of the to the to the of the of the of the to the of\n", + "Ep 4 (Iter 000030): Train loss 5.225, Val loss 6.944\n", + "Ep 4 (Iter 000035): Train loss 4.304, Val loss 6.512\n", + "Every effort moves you know \"--and--and--I \", and, and, and, and I had been, and, and \" it. \n", + "Ep 5 (Iter 000040): Train loss 3.736, Val loss 6.383\n", + "Every effort moves you know the picture to have the picture--his--his, the donkey of a little: \"strong, with a little of the donkey, in the picture--as, with a little of his painting, the donkey, the donkey, with a little\n", + "Ep 6 (Iter 000045): Train loss 2.395, Val loss 6.244\n", + "Ep 6 (Iter 000050): Train loss 2.948, Val loss 6.279\n", + "Every effort moves you?\" I, and he had a little the in a flash that he was a little the fact, and in the picture. Gisburn's my unexpected discovery; and as I had the picture--the. He was his\n", + "Ep 7 (Iter 000055): Train loss 2.316, Val loss 6.169\n", + "Ep 7 (Iter 000060): Train loss 1.003, Val loss 6.343\n", + "Every effort moves you?\" \"Yes--I glanced after him, so inevitably the last word. Gisburn's past! The women had been his pictures I remember getting off a prodigious phrase about the honour being _mine_--because he didn't say\n", + "Ep 8 (Iter 000065): Train loss 0.860, Val loss 6.348\n", + "Ep 8 (Iter 000070): Train loss 1.117, Val loss 6.375\n", + "Every effort moves you?\" \"I that my hostess was \"interesting\": on that point I could have given Miss Croft the fact, and Mrs. \"I must have Jack himself, I had again run over from Monte Carlo; and Mrs. Gis\n", + "Ep 9 (Iter 000075): Train loss 0.367, Val loss 6.498\n", + "Ep 9 (Iter 000080): Train loss 0.289, Val loss 6.612\n", + "Every effort moves you?\" \" on--forming, as it were, so inevitably the background of the house.\" \" went on groping and muddling; then I looked at the donkey again. I may be pardoned the bull--that I found\n", + "Ep 10 (Iter 000085): Train loss 0.263, Val loss 6.700\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 13 (Iter 000110): Train loss 0.144, Val loss 6.664\n", - "Ep 13 (Iter 000115): Train loss 0.118, Val loss 6.677\n", + "Ep 11 (Iter 000090): Train loss 0.151, Val loss 6.788\n", + "Ep 11 (Iter 000095): Train loss 0.097, Val loss 6.805\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 14 (Iter 000120): Train loss 0.109, Val loss 6.686\n", - "Ep 14 (Iter 000125): Train loss 0.109, Val loss 6.698\n", + "Ep 12 (Iter 000100): Train loss 0.081, Val loss 6.832\n", + "Ep 12 (Iter 000105): Train loss 0.089, Val loss 6.900\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 15 (Iter 000130): Train loss 0.101, Val loss 6.707\n", + "Ep 13 (Iter 000110): Train loss 0.045, Val loss 6.911\n", + "Ep 13 (Iter 000115): Train loss 0.047, Val loss 6.903\n", + "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", + "Ep 14 (Iter 000120): Train loss 0.038, Val loss 6.907\n", + "Ep 14 (Iter 000125): Train loss 0.040, Val loss 6.912\n", + "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", + "Ep 15 (Iter 000130): Train loss 0.041, Val loss 6.915\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n" ] } @@ -640,7 +659,8 @@ "train_losses, val_losses, tokens_seen, lrs = train_model(\n", " model, train_loader, val_loader, optimizer, device, n_epochs=n_epochs,\n", " eval_freq=5, eval_iter=1, start_context=\"Every effort moves you\",\n", - " tokenizer=tokenizer, warmup_steps=10, initial_lr=1e-5, min_lr=1e-5\n", + " tokenizer=tokenizer, warmup_steps=warmup_steps, \n", + " initial_lr=1e-5, min_lr=1e-5\n", ")" ] }, @@ -666,13 +686,13 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "id": "d8ebb8d2-8308-4a83-a2a6-730c3bf84452", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -699,7 +719,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "id": "445d8155-6eae-4b50-a381-d0820ebc27cc", "metadata": { "scrolled": true @@ -709,13 +729,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/jg/tpqyh1fd5js5wsr1d138k3n40000gn/T/ipykernel_9436/3589549395.py:5: UserWarning: The figure layout has changed to tight\n", + "/var/folders/jg/tpqyh1fd5js5wsr1d138k3n40000gn/T/ipykernel_36856/3589549395.py:5: UserWarning: The figure layout has changed to tight\n", " plt.tight_layout(); plt.savefig(\"3.pdf\")\n" ] }, { "data": { - "image/png": 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", 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