{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"pygments_lexer":"ipython3","nbconvert_exporter":"python","version":"3.6.4","file_extension":".py","codemirror_mode":{"name":"ipython","version":3},"name":"python","mimetype":"text/x-python"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"<a id=\"0\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:250%;text-align:center;border-radius:10px 10px;\">LearningRateScheduler</p>![LRScheduler.png](attachment:576d0b07-796e-4174-9690-dd3777fa6932.png)\n<a id=\"0\"></a>\n<p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:250%;text-align:center;border-radius:10px 10px;\">Introduction</p>\n<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\">In this notebook we will look at different kinds of LearningRateScheduler and visualize them. We will also try to understand their benefits.</p>\n<a id='top'></a>\n<div class=\"list-group\" id=\"list-tab\" role=\"tablist\">\n<p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">Table of Contents</p>   \n    \n* [1. Why we need LearningRateScheduler?](#1)\n\n* [2. How to implement in Keras?](#2)\n    \n* [3. Simple Decay](#3)\n\n* [4. Cosine Decay Learning Rate](#4)\n    \n* [5. Exponential Decay Learning Rate](#5)    \n\n* [6. Something Interesting](#6)\n    \n* [7. Damped Cosine Decay Learning Rate](#7)\n    \n* [8. Damped Exponential Decay Learning Rate](#8)  \n    \n* [9. Conclusion](#9)\n    \n* [10. End](#10)\n\n\n<a id=\"1\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">1.Why we need LearningRateScheduler?</p>\n<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\">\nUsing constant learning rate for whole training has many disadvantages. If our data set is highly differentiated, we can suffer from a sort of \"early over-fitting\". If our shuffled data happens to include a cluster of related, strongly-featured observations, our model's initial training can skew badly toward those features -- or worse, toward incidental features that aren't truly related to the topic at all.<br>\nUsing Some kind of scheduler which changes learning rate during training helps generalize the model and thus it performs better on the test set.<br>\nSo on an average it is always recommended to use some kind of learning rate scheduler.In this notebook we will try to explore these learning rate schedulers.</p>\n\n<a id=\"2\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">2.How to implement in Keras?</p>\n<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\">We define a function schedule which is called in the start of every epoch.<br>\n    This function(schedule) takes in two parameters current epoch and current learning rate. It returns modified learning rate<br>\nVerbose sets how much to display.</p>\n","metadata":{},"attachments":{"576d0b07-796e-4174-9690-dd3777fa6932.png":{"image/png":"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"}}},{"cell_type":"code","source":"import numpy as np \nimport math\nimport tensorflow as tf\nimport matplotlib.pyplot as plt \nimport seaborn as sns","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-18T23:25:05.272211Z","iopub.execute_input":"2022-06-18T23:25:05.273151Z","iopub.status.idle":"2022-06-18T23:25:11.241028Z","shell.execute_reply.started":"2022-06-18T23:25:05.273061Z","shell.execute_reply":"2022-06-18T23:25:11.240255Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<code>def schedule(epoch, lr):\n<code>    # epoch:- current epoch \n<code>    # lr:- current learning rate \n<code>    ..\n<code>    modified_lr = ..\n<code>    return modified_lr \n<code>\n<code>lr= tf.keras.callbacks.LearningRateScheduler(schedule, verbose=0)\n<code>callbacks = [lr, ...] \n<code>model.fit(.... , callbacks= callbacks)","metadata":{"execution":{"iopub.status.busy":"2022-06-17T14:31:24.692411Z","iopub.status.idle":"2022-06-17T14:31:24.693394Z","shell.execute_reply.started":"2022-06-17T14:31:24.693125Z","shell.execute_reply":"2022-06-17T14:31:24.693152Z"}}},{"cell_type":"markdown","source":"<a id=\"3\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">3.Simple Decay</p>\n<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\">It keeps same learning rate for first k many epochs(here 10) and then it exponentially decreases learning rate at each epoch.</p>","metadata":{}},{"cell_type":"code","source":"def scheduler(epoch, lr):\n    if epoch < 10:\n        return lr\n    else:\n        return lr * tf.math.exp(-0.1)","metadata":{"execution":{"iopub.status.busy":"2022-06-18T23:25:11.242571Z","iopub.execute_input":"2022-06-18T23:25:11.24399Z","iopub.status.idle":"2022-06-18T23:25:11.249397Z","shell.execute_reply.started":"2022-06-18T23:25:11.243948Z","shell.execute_reply":"2022-06-18T23:25:11.248573Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"modified_lr = []\nlr = 0.1\nfor e in range(50):\n    lr = scheduler(e, lr)\n    modified_lr.append(lr)\nvalue=np.array(modified_lr)\nplt.plot(range(50), value)\nplt.title(\"simple lr decay\",  fontsize=20)\nplt.xlabel('epoch', fontsize=18)\nplt.ylabel('learning rate', fontsize=16)\nplt.show()\n","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-18T23:25:11.251759Z","iopub.execute_input":"2022-06-18T23:25:11.252051Z","iopub.status.idle":"2022-06-18T23:25:11.675397Z","shell.execute_reply.started":"2022-06-18T23:25:11.252024Z","shell.execute_reply":"2022-06-18T23:25:11.674555Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id=\"4\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">4. Cosine Decay Learning Rate</p>\n![cosine1.png](attachment:053dcb30-4d10-4c85-9dc3-1e09e107bca4.png)","metadata":{},"attachments":{"053dcb30-4d10-4c85-9dc3-1e09e107bca4.png":{"image/png":"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"}}},{"cell_type":"code","source":"def cosine_decay(epoch):\n    if epochs > 1:\n        w = (1 + math.cos(epoch / (epochs-1) * math.pi)) / 2\n    else:\n        w = 1\n    return w * lr_start + (1 - w) * lr_end","metadata":{"execution":{"iopub.status.busy":"2022-06-18T23:25:11.677316Z","iopub.execute_input":"2022-06-18T23:25:11.677672Z","iopub.status.idle":"2022-06-18T23:25:11.683821Z","shell.execute_reply.started":"2022-06-18T23:25:11.67763Z","shell.execute_reply":"2022-06-18T23:25:11.682782Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"lr_start = 0.1 \nlr_end = 0.001\nepochs = 10 # epochs in one cycle\n\nmodified_lr = []\nlr = 0.1\nfor e in range(50):\n    lr = cosine_decay(e)\n    modified_lr.append(lr)\nvalue=np.array(modified_lr)\nplt.plot(range(50), value)\nplt.title(\"cosine lr decay\",  fontsize=20)\nplt.xlabel('epoch', fontsize=18)\nplt.ylabel('learning rate', fontsize=16)\nplt.show()","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-18T23:47:21.553583Z","iopub.execute_input":"2022-06-18T23:47:21.553973Z","iopub.status.idle":"2022-06-18T23:47:21.736232Z","shell.execute_reply.started":"2022-06-18T23:47:21.553943Z","shell.execute_reply":"2022-06-18T23:47:21.735566Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id=\"5\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">5. Exponential Decay Learning Rate</p>\n![epsilon.png](attachment:4f9067c3-3046-4d81-ba89-76455304ee5b.png)","metadata":{},"attachments":{"4f9067c3-3046-4d81-ba89-76455304ee5b.png":{"image/png":"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"}}},{"cell_type":"code","source":"def exponential_decay(epoch):\n    a = 3\n    epochs_per_cycle = epochs // CYCLES\n    epoch_in_cycle = epoch % epochs_per_cycle\n    if epochs_per_cycle > 1:\n        v = math.exp(a * (1 - epoch_in_cycle / (epochs_per_cycle-1)))\n        w = (v - 1) / (math.exp(a) - 1)\n    else:\n        w = 1\n    return w * lr_start + (1 - w) * lr_end","metadata":{"execution":{"iopub.status.busy":"2022-06-18T23:25:11.879458Z","iopub.execute_input":"2022-06-18T23:25:11.879901Z","iopub.status.idle":"2022-06-18T23:25:11.886912Z","shell.execute_reply.started":"2022-06-18T23:25:11.879867Z","shell.execute_reply":"2022-06-18T23:25:11.885975Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"lr_start = 0.1 \nlr_end = 0.001\nepochs = 50 # Total no of epochs \nCYCLES = 10 # Total no of cycles we want in whole training ( total no restart )\na = 4 \n\nmodified_lr = []\nlr = 0.1\nfor e in range(50):\n    lr = exponential_decay(e)\n    modified_lr.append(lr)\nvalue=np.array(modified_lr)\nplt.plot(range(50), value)\nplt.title(\"exponential lr decay\",  fontsize=20)\nplt.xlabel('epoch', fontsize=18)\nplt.ylabel('learning rate', fontsize=16)\nplt.show()","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-18T23:25:11.888393Z","iopub.execute_input":"2022-06-18T23:25:11.889415Z","iopub.status.idle":"2022-06-18T23:25:12.081235Z","shell.execute_reply.started":"2022-06-18T23:25:11.88937Z","shell.execute_reply":"2022-06-18T23:25:12.080555Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\"><b><i>a</i></b> defines how steep the decay in learning rate will be. If <b><i>a</i></b> is higher decay is more steeper.<br>\nBelow we will plot the graph of epoch vs learning rate for various value of <b><i>a</i></b>.</p>","metadata":{}},{"cell_type":"code","source":"lr_start = 0.1 \nlr_end = 0.001\nepochs = 50 # Total no of epochs \nCYCLES = 10 # Total no of cycles we want in whole training ( total no restart )\n\ncolor_list = [\"red\",\"pink\",\"green\", \"blue\", \"cyan\",\"magenta\",\"black\",\"orange\",\"violet\",\"indigo\"]\n\ndef exponential_decay(epoch):\n    epochs_per_cycle = epochs // CYCLES\n    epoch_in_cycle = epoch % epochs_per_cycle\n    if epochs_per_cycle > 1:\n        v = math.exp(a * (1 - epoch_in_cycle / (epochs_per_cycle-1)))\n        w = (v - 1) / (math.exp(a) - 1)\n    else:\n        w = 1\n    return w * lr_start + (1 - w) * lr_end\n\nplt.figure(figsize=(20,8))\nfor i,a in enumerate(range(1,5)):\n    modified_lr = []\n    lr = 0.1\n    for e in range(50):\n        lr = exponential_decay(e)\n        modified_lr.append(lr)\n    value=np.array(modified_lr)\n    plt.plot(range(50), value, color=color_list[i], label=f\"a={a}\")\nplt.title(\"exponential lr decay\",  fontsize=20)\nplt.xlabel('epoch', fontsize=18)\nplt.ylabel('learning rate', fontsize=16)\nplt.legend(loc=\"upper right\")\nplt.show()","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-18T23:25:12.082315Z","iopub.execute_input":"2022-06-18T23:25:12.08276Z","iopub.status.idle":"2022-06-18T23:25:12.353549Z","shell.execute_reply.started":"2022-06-18T23:25:12.08273Z","shell.execute_reply":"2022-06-18T23:25:12.352602Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id=\"6\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">6. Something Interesting</p>\n<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\">Here I will be doing something which I found quite interesting. So far in cosine decay and exponential decay , at the start of new cycle, lr has been shooting to all the way up which was set up in starting i.e. [start_lr], though this works but as we progress in training it is better to restrict more abrupt changes in weights, what I mean to say is as we approach global optimal point it is good to make small moves i.e. keep learning rate small.<br>\nThis idea is inspired from this paper: <a href=\"https://arxiv.org/pdf/1803.05407.pdf\">https://arxiv.org/pdf/1803.05407.pdf</a><br>\nSo what we will do is we will bring a damping effect, which will progressively restrict the range of learning rate. Also we don't want to restrict it in midway of lr_start and lr_end but rather we want to skew the dampness towards lr_end .i.e. smaller lr. [ Because ultimately we want to slow down abrupt changes in weights]. <br>\nNow how to direct the dampness towards lr_end. For this I will use a simple yet powerful idea.<br>\nIt states:<br>\n<code>Let we have to reach some place A which is at distance x. At each step we travel half of the remaining distance. Then no matter how much steps we take in that direction we would never be able to reach A.</code><br> This is known as <a href=\" https://en.wikipedia.org/wiki/Zeno%27s_paradoxes\">Zeno's paradox</a>.<br>\nSo what I have done is set lr_end=0 and at the start of each cycle, I have redefined lr_end and lr_start.<br>\nlr_start is 2/3 of distance from previous lr_start<br>\nlr_end is 1/3 of distance between 0 and new lr_start<br>\nIn each cycle lr_start moves down and so lr_end moves closer to 0 but it never reacher 0. (It is asymptotic to 0)<br>\n[Note: I am yet to train models with this learningRateScheduler. If any one uses it, let me know how it performs]</p>\n\n\n<a id=\"7\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">7. Damped Cosine Decay Learning Rate</p>","metadata":{}},{"cell_type":"code","source":"def cosine_decay(epoch):\n    if epochs > 1:\n        w = (1 + math.cos(epoch / (epochs-1) * math.pi)) / 2\n    else:\n        w = 1\n    return w * lr_start1 + (1 - w) * lr_end1\n\ndef damped_cosine_decay(epoch):\n    global lr_start, lr_end\n    if epoch/(epochs-1) == epoch // (epochs-1) :\n        # at the start of cycle  \n        lr_start = lr_end + (lr_start-lr_end)*(1/3)\n        #lr_end = lr_start- lr_start*2/3 \n        lr_end = lr_start- (lr_start-0)*2/3 \n    if epochs > 1:\n        w = (1 + math.cos(epoch / (epochs-1) * math.pi)) / 2\n    else:\n        w = 1\n    return w * lr_start + (1 - w) * lr_end","metadata":{"_kg_hide-input":false,"execution":{"iopub.status.busy":"2022-06-19T00:46:23.378643Z","iopub.execute_input":"2022-06-19T00:46:23.379067Z","iopub.status.idle":"2022-06-19T00:46:23.387705Z","shell.execute_reply.started":"2022-06-19T00:46:23.379034Z","shell.execute_reply":"2022-06-19T00:46:23.386907Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"lr_start1 = 0.1 \nlr_end1 = 0.001\n\nlr_start = 0.1 \nlr_end = 0 #0.001\nepochs = 10 \n\nmodified_lr_damped = []\nmodified_lr= []\nlr = 0.1\nfor e in range(50):\n    lr = cosine_decay(e)\n    damped_lr = damped_cosine_decay(e)\n    modified_lr_damped.append(damped_lr)\n    modified_lr.append(lr)\nvalue=np.array(modified_lr)\nvalue_damped = np.array(modified_lr_damped)\nplt.plot(range(50), value, label=\"cosine decay\")\nplt.plot(range(50), value_damped, label=\"damped cosine decay\")\nplt.title(\"damped cosine lr decay\",  fontsize=20)\nplt.xlabel('epoch', fontsize=18)\nplt.ylabel('learning rate', fontsize=16)\nplt.legend(loc=\"upper right\")\nplt.show()","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-19T00:46:24.457642Z","iopub.execute_input":"2022-06-19T00:46:24.458453Z","iopub.status.idle":"2022-06-19T00:46:24.668364Z","shell.execute_reply.started":"2022-06-19T00:46:24.458413Z","shell.execute_reply":"2022-06-19T00:46:24.6674Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id=\"8\"></a>\n# <p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">8. Damped Exponential Decay Learning Rate</p>","metadata":{}},{"cell_type":"code","source":"def damped_exponential_decay(epoch):\n    global lr_start, lr_end\n    a = 3\n    epochs_per_cycle = epochs // CYCLES\n    epoch_in_cycle = epoch % epochs_per_cycle\n    if epoch_in_cycle == 0:\n        # at start of new cycle \n        lr_start = lr_end + (lr_start-lr_end)*(1/3)\n        lr_end = lr_start- lr_start*4/7 \n    if epochs_per_cycle > 1:\n        v = math.exp(a * (1 - epoch_in_cycle / (epochs_per_cycle-1)))\n        w = (v - 1) / (math.exp(a) - 1)\n    else:\n        w = 1\n    return w * lr_start + (1 - w) * lr_end","metadata":{"execution":{"iopub.status.busy":"2022-06-18T23:54:41.512076Z","iopub.execute_input":"2022-06-18T23:54:41.512467Z","iopub.status.idle":"2022-06-18T23:54:41.51982Z","shell.execute_reply.started":"2022-06-18T23:54:41.512435Z","shell.execute_reply":"2022-06-18T23:54:41.518995Z"},"_kg_hide-input":false,"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"lr_start = 0.1 \nlr_end = 0\ntemp_lr_start = 0.1 \ntemp_lr_end = 0 #0.0001\n\nepochs = 50 # Total no of epochs \nCYCLES = 10 # Total no of cycles we want in whole training ( total no restart )\na = 4 \n\nmodified_lr = []\nlr = 0.1\nfor e in range(50):\n    lr = damped_exponential_decay(e)\n    modified_lr.append(lr)\nvalue=np.array(modified_lr)\nprint(\"printing the last three learning rate values\",value[-3:])\nplt.plot(range(50), value)\nplt.title(\"damped exponential lr decay\",  fontsize=20)\nplt.xlabel('epoch', fontsize=18)\nplt.ylabel('learning rate', fontsize=16)\nplt.show()","metadata":{"_kg_hide-input":true,"execution":{"iopub.status.busy":"2022-06-19T00:06:21.063686Z","iopub.execute_input":"2022-06-19T00:06:21.064111Z","iopub.status.idle":"2022-06-19T00:06:21.25345Z","shell.execute_reply.started":"2022-06-19T00:06:21.064077Z","shell.execute_reply":"2022-06-19T00:06:21.252464Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id=\"9\"></a>\n<p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">Conclusion</p>\n<p style=\"font-family:newtimeroman;font-size:120%;color:#444160;\">There are many other types of LearingRateSchedulers which I am still leanrning. If you have any suggestion do let me know in the comment.<br>\nLet's give credit where it is due.<br>\ncosine decay is inspired from work of <a href=\"https://www.kaggle.com/dlaststark\">dlaststark</a> check out his <a href=\"https://www.kaggle.com/code/dlaststark/tps-may22-what-tf-again\">notebook.</a><br>\nexponential decay is inspired from work of <a href=\"https://www.kaggle.com/ambrosm\">ambrosm</a> check out his <a href=\"https://www.kaggle.com/code/ambrosm/amex-keras-quickstart-1-training/notebook\">notebook.</a><br>\nSome other good references:-<br>\n<a href=\"https://paperswithcode.com/method/cosine-annealing\">https://paperswithcode.com/method/cosine-annealing</a><br>   \n<a href=\"https://keras.io/api/callbacks/learning_rate_scheduler/\">https://keras.io/api/callbacks/learning_rate_scheduler/</a><br>\n<a href=\"https://arxiv.org/abs/1803.05407\">https://arxiv.org/abs/1803.05407</a>   \n</p> \n\n**<span style=\"color:#444160;\"> Thanks!</span>**\n<a id=\"10\"></a>\n<p style=\"background-color:#a96a50;font-family:newtimeroman;color:#FFFFFF;font-size:150%;text-align:center;border-radius:10px 10px;\">End</p>\n    <a href=\"#top\" role=\"button\" aria-pressed=\"true\" >⬆️Back to Table of Contents ⬆️</a>","metadata":{}}]}