Forked from aritrasen87/RandomSampling_LLM_Temperature_TopP_TopK.ipynb
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March 31, 2025 21:33
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"id": "CGd8AAkMq3AN" | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"np.set_printoptions(suppress=True)" | |
] | |
}, | |
{ | |
"attachments": {}, | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Temperature:" | |
] | |
}, | |
{ | |
"attachments": { | |
"image.png": { | |
"image/png": 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" | |
} | |
}, | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"id": "hm9k7XMqVEJH" | |
}, | |
"outputs": [], | |
"source": [ | |
"def softmax(logits,temperature=0.0):\n", | |
" if temperature == 0.0:\n", | |
" logits = np.asarray(logits)\n", | |
" exponential_logits = np.exp(logits)\n", | |
" probs = exponential_logits / np.sum(exponential_logits)\n", | |
" return probs\n", | |
" else:\n", | |
" logits = np.asarray(logits) / (temperature + 0.002) # some added value to avoid divide by 1.00 (1.00 + 0.002)\n", | |
" exponential_logits = np.exp(logits)\n", | |
" probs = exponential_logits / np.sum(exponential_logits)\n", | |
" return probs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 104, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"2.718281828459045" | |
] | |
}, | |
"execution_count": 104, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"a = 1\n", | |
"np.exp(a)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 105, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"3.037731777517483" | |
] | |
}, | |
"execution_count": 105, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"a = 1/0.9\n", | |
"np.exp(a)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"id": "IB9k78_RrK2J" | |
}, | |
"outputs": [], | |
"source": [ | |
"def temperature_random_sampling(logits,words,temperature=0.0,print_words=False):\n", | |
" probs = softmax(logits,temperature)\n", | |
" if print_words:\n", | |
" print('Logit to Prob:',list(map(list, zip(words, probs))))\n", | |
" random_samp_index = np.random.choice(range(len(logits)),p=probs)\n", | |
" print('Sampled word:',words[random_samp_index])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 99, | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "lPLVqEQBs2oW", | |
"outputId": "01d27e62-90a9-4c88-ce0c-59a3c7f05817" | |
}, | |
"outputs": [], | |
"source": [ | |
"logits = [1.0 , 3.0 , 2.0, 9.0 , 8.0 , 4.0]\n", | |
"words = ['I' , 'boy' , 'hello' , 'LLM' , 'NLP' , 'N-gram']" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 107, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Logit to Prob: [['I', 0.00024338100884697562], ['boy', 0.0017983559277846399], ['hello', 0.000661578173740764], ['LLM', 0.7255085622166656], ['NLP', 0.26689968443336354], ['N-gram', 0.004888438239598594]]\n", | |
"Sampled word: LLM\n" | |
] | |
} | |
], | |
"source": [ | |
"temperature_random_sampling(logits,words,temperature=0.0,print_words=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 92, | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "NxDWdWViuPHa", | |
"outputId": "4e349f69-a250-4a9b-ee7d-caba3a56e179" | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"----------\n", | |
"Sampled word: NLP\n", | |
"----------\n", | |
"Sampled word: LLM\n", | |
"----------\n", | |
"Sampled word: NLP\n", | |
"----------\n", | |
"Sampled word: N-gram\n", | |
"----------\n", | |
"Sampled word: N-gram\n", | |
"----------\n", | |
"Sampled word: boy\n", | |
"----------\n", | |
"Sampled word: LLM\n", | |
"----------\n", | |
"Sampled word: NLP\n", | |
"----------\n", | |
"Sampled word: LLM\n", | |
"----------\n", | |
"Sampled word: NLP\n" | |
] | |
} | |
], | |
"source": [ | |
"temperature = 1.0\n", | |
"for i in range(10):\n", | |
" print('----------')\n", | |
" temperature_random_sampling(logits,words,temperature)" | |
] | |
}, | |
{ | |
"attachments": {}, | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## TOP_P" | |
] | |
}, | |
{ | |
"attachments": { | |
"image.png": { | |
"image/png": 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| |
} | |
}, | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "WKvHPQgn4I1V" | |
}, | |
"source": [ | |
"Top P:\n", | |
"Tokens are sampled from most probabale tokens that collectively have a probability values >=p\n", | |
"\n", | |
"1. Tokens sorted by probability\n", | |
"2. Select only tokens for which culmilitive probability exceeds P\n", | |
"3. Recalculate probability by normalizing the probability\n", | |
"4. Randomly sample using the final normalized probability" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 66, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def top_p_indexes(probs,top_p):\n", | |
" sorted_index = np.argsort(probs)[::-1]\n", | |
" cum_prob = 0.0\n", | |
" selected_index = []\n", | |
" for i in sorted_index:\n", | |
" if cum_prob <= top_p:\n", | |
" selected_index.append(i)\n", | |
" cum_prob += probs[i]\n", | |
" else:\n", | |
" break\n", | |
" return selected_index" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 67, | |
"metadata": { | |
"id": "pfjwT6sH8vtE" | |
}, | |
"outputs": [], | |
"source": [ | |
"def top_p_sampling(logits,words,top_p,print_words=False):\n", | |
" probs = softmax(logits)\n", | |
" selected_index = top_p_indexes(probs,top_p)\n", | |
" top_p_prob = softmax(probs[selected_index])\n", | |
" if print_words:\n", | |
" selected_words = []\n", | |
" for i in selected_index:\n", | |
" selected_words.append(words[i])\n", | |
" print('Top P words and Normalized Prob:',list(map(list, zip(selected_words, top_p_prob))))\n", | |
" random_samp_index = np.random.choice(selected_index,p=top_p_prob)\n", | |
" print('Sampled word:',words[random_samp_index])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 68, | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "aDbWdwDI-5IC", | |
"outputId": "be902f48-46d5-4e9e-c2d5-d52ba0beffa8" | |
}, | |
"outputs": [], | |
"source": [ | |
"top_p = 0.90" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 69, | |
"metadata": { | |
"id": "__2PKyFsCv_f" | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Top P words and Normalized Prob: [['LLM', 0.6126841114435158], ['NLP', 0.3873158885564842]]\n", | |
"Sampled word: NLP\n" | |
] | |
} | |
], | |
"source": [ | |
"top_p_sampling(logits,words,top_p,print_words=True)" | |
] | |
}, | |
{ | |
"attachments": {}, | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## TOP_K" | |
] | |
}, | |
{ | |
"attachments": { | |
"image.png": { | |
"image/png": 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" | |
} | |
}, | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "xRP7YCDO75ox" | |
}, | |
"source": [ | |
"Top K:\n", | |
"Much more simpler ,\n", | |
"1. Sort the tokens based on the probability values.\n", | |
"2. filter the top K tokens to be random sampled for the next words.\n", | |
"\n", | |
"Less probably tokens can also be selected in sampling if it falls in the top K tokens." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 70, | |
"metadata": { | |
"id": "YB7sZ2a9ueNg" | |
}, | |
"outputs": [], | |
"source": [ | |
"def top_k_sampling(logits,words,top_k,print_words=False):\n", | |
" probs = softmax(logits)\n", | |
" selected_index = np.argsort(probs)[::-1][:top_k]\n", | |
" top_k_prob = softmax(probs[selected_index])\n", | |
" if print_words:\n", | |
" selected_words = []\n", | |
" for i in selected_index:\n", | |
" selected_words.append(words[i])\n", | |
" print('Top K words and Normalized Prob:',list(map(list, zip(selected_words, top_k_prob))))\n", | |
" random_samp_index = np.random.choice(selected_index,p=top_k_prob)\n", | |
" print('Sampled word:',words[random_samp_index])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 71, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"top_k = 3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 72, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Top K words and Normalized Prob: [['LLM', 0.47200693217709], ['NLP', 0.29838505834640666], ['N-gram', 0.22960800947650348]]\n", | |
"Sampled word: NLP\n" | |
] | |
} | |
], | |
"source": [ | |
"top_k_sampling(logits,words,top_k,print_words=True)" | |
] | |
} | |
], | |
"metadata": { | |
"colab": { | |
"provenance": [] | |
}, | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.10.11" | |
}, | |
"vscode": { | |
"interpreter": { | |
"hash": "1758999f029eddf959a1186ac4cb199870fecf5394707e39dfa8e19edac1c51d" | |
} | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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