{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"machine_shape":"hm","collapsed_sections":[],"authorship_tag":"ABX9TyPRHuNPgQSn1Mhgf5eqOXiY"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"},"gpuClass":"standard","accelerator":"GPU"},"cells":[{"cell_type":"markdown","source":["Deep learning methods for new sound generation\n","======\n","In this work, we transform audios into spectrograms and use CNN-based model to learn. This notebook is a guideline.\n","Firstly, we load all needed sources."],"metadata":{"id":"gDE8MprEslOh"}},{"cell_type":"code","execution_count":1,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"WXazjyzylMw-","executionInfo":{"status":"ok","timestamp":1662733863329,"user_tz":-120,"elapsed":14716,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"outputId":"f90b3dcb-d793-4cff-8ca0-523ff579be60"},"outputs":[{"output_type":"stream","name":"stdout","text":["Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n","Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n","Requirement already satisfied: ddsp in /usr/local/lib/python3.7/dist-packages (3.4.4)\n","Requirement already satisfied: tflite-support in /usr/local/lib/python3.7/dist-packages (from ddsp) (0.4.2)\n","Requirement already satisfied: tensorflow-addons 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This behaviour is the source of the following dependency conflicts.\n","pytorch-lightning 1.7.5 requires tensorboard>=2.9.1, but you have tensorboard 2.8.0 which is incompatible.\u001b[0m\n","Successfully installed tensorboard-2.8.0\n"]},{"output_type":"display_data","data":{"application/vnd.colab-display-data+json":{"pip_warning":{"packages":["tensorboard"]}}},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n","Requirement already satisfied: torchsynth in /usr/local/lib/python3.7/dist-packages (1.0.2)\n","Requirement already satisfied: numpy in /usr/local/lib/python3.7/dist-packages (from torchsynth) (1.21.6)\n","Requirement already satisfied: scipy in /usr/local/lib/python3.7/dist-packages (from torchsynth) (1.7.3)\n","Requirement already satisfied: torch>=1.8 in /usr/local/lib/python3.7/dist-packages (from torchsynth) (1.12.1+cu113)\n","Requirement already satisfied: 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(4.9)\n","Requirement already satisfied: pyasn1-modules>=0.2.1 in /usr/local/lib/python3.7/dist-packages (from google-auth<3,>=1.6.3->tensorboard>=2.9.1->pytorch-lightning>=1.4->torchsynth) (0.2.8)\n","Requirement already satisfied: requests-oauthlib>=0.7.0 in /usr/local/lib/python3.7/dist-packages (from google-auth-oauthlib<0.5,>=0.4.1->tensorboard>=2.9.1->pytorch-lightning>=1.4->torchsynth) (1.3.1)\n","Requirement already satisfied: importlib-metadata>=4.4 in /usr/local/lib/python3.7/dist-packages (from markdown>=2.6.8->tensorboard>=2.9.1->pytorch-lightning>=1.4->torchsynth) (4.12.0)\n","Requirement already satisfied: zipp>=0.5 in /usr/local/lib/python3.7/dist-packages (from importlib-metadata>=4.4->markdown>=2.6.8->tensorboard>=2.9.1->pytorch-lightning>=1.4->torchsynth) (3.8.1)\n","Requirement already satisfied: pyasn1<0.5.0,>=0.4.6 in /usr/local/lib/python3.7/dist-packages (from pyasn1-modules>=0.2.1->google-auth<3,>=1.6.3->tensorboard>=2.9.1->pytorch-lightning>=1.4->torchsynth) (0.4.8)\n","Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests->fsspec[http]!=2021.06.0,>=2021.05.0->pytorch-lightning>=1.4->torchsynth) (3.0.4)\n","Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests->fsspec[http]!=2021.06.0,>=2021.05.0->pytorch-lightning>=1.4->torchsynth) (2.10)\n","Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests->fsspec[http]!=2021.06.0,>=2021.05.0->pytorch-lightning>=1.4->torchsynth) (2022.6.15)\n","Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests->fsspec[http]!=2021.06.0,>=2021.05.0->pytorch-lightning>=1.4->torchsynth) (1.24.3)\n","Requirement already satisfied: oauthlib>=3.0.0 in /usr/local/lib/python3.7/dist-packages (from requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard>=2.9.1->pytorch-lightning>=1.4->torchsynth) (3.2.0)\n","Installing collected packages: tensorboard\n"," Attempting uninstall: tensorboard\n"," Found existing installation: tensorboard 2.8.0\n"," Uninstalling tensorboard-2.8.0:\n"," Successfully uninstalled tensorboard-2.8.0\n","\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n","tensorflow 2.8.2+zzzcolab20220719082949 requires tensorboard<2.9,>=2.8, but you have tensorboard 2.10.0 which is incompatible.\u001b[0m\n","Successfully installed tensorboard-2.10.0\n"]},{"output_type":"display_data","data":{"application/vnd.colab-display-data+json":{"pip_warning":{"packages":["tensorboard"]}}},"metadata":{}},{"output_type":"stream","name":"stdout","text":["/content/drive/MyDrive/Thesis_upload\n"]}],"source":["from google.colab import drive\n","drive.mount('/content/drive')\n","import numpy as np\n","import tensorflow as tf\n","from keras import backend as K\n","! pip install ddsp\n","! pip install torchsynth\n","%cd /content/drive/MyDrive/Thesis_upload/"]},{"cell_type":"markdown","source":["Dataset\n","======\n","The hybrid dataset consists of one online generated synthetic dataset and 3 external sources (e.g. Synthetic, ARTURIA, NSynth and SoundFonts).\n","You can use show_data to show spectrograms visually. (This method returns the objective dataset.)"],"metadata":{"id":"uueRAfMHRKve"}},{"cell_type":"code","source":["from load_data import show_data\n","test_data = show_data(dataset_name=\"NSynth\", index=10) ## show the 10-th sample from the NSynth dataset\n","# test_data = show_data(dataset_name=\"Synthetic\", n_sample=10) ## show 10 samples from the Synthetic dataset"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":324},"id":"VSHCTvCOPf2S","executionInfo":{"status":"ok","timestamp":1662733867221,"user_tz":-120,"elapsed":3896,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"outputId":"41a7f0fa-a77d-4c57-df8c-c796e2eb61e5"},"execution_count":2,"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.7/dist-packages/pytorch_lightning/core/lightning.py:23: LightningDeprecationWarning: pytorch_lightning.core.lightning.LightningModule has been deprecated in v1.7 and will be removed in v1.9. Use the equivalent class from the pytorch_lightning.core.module.LightningModule class instead.\n"," \"pytorch_lightning.core.lightning.LightningModule has been deprecated in v1.7\"\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Generation of new sounds\n","======\n","This section evaluates the trained model and uses it to generate new sounds."],"metadata":{"id":"0uLQR7w33cGr"}},{"cell_type":"code","source":["from new_sound_generation import test_reconstruction, test_interpulation, test_random_sampling, test_style_transform\n","encoder = tf.keras.models.load_model(f\"models/encoder_1.h5\")\n","decoder = tf.keras.models.load_model(f\"models/decoder_1.h5\")\n","# encoder = tf.keras.models.load_model(f\"models/new_trained_models/encoder.h5\")\n","# decoder = tf.keras.models.load_model(f\"models/new_trained_models/decoder.h5\")\n","perceptual_label_predictor = tf.keras.models.load_model(f\"models/perceptual_label_predictor.h5\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"zDkB7usFMyIy","executionInfo":{"status":"ok","timestamp":1662733872747,"user_tz":-120,"elapsed":5529,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"outputId":"55dbb1b5-2aba-429e-fa72-e2914da5900c"},"execution_count":3,"outputs":[{"output_type":"stream","name":"stderr","text":["WARNING:tensorflow:No training configuration found in the save file, so the model was *not* compiled. Compile it manually.\n","WARNING:tensorflow:No training configuration found in the save file, so the model was *not* compiled. Compile it manually.\n"]}]},{"cell_type":"markdown","source":["### Show reconstruction results"],"metadata":{"id":"iS_ju0JJ7WiW"}},{"cell_type":"code","source":["test_reconstruction(encoder, decoder, test_data, n_sample=3, f=0, path_name=\"./data/test_reconstruction\", save_data=True)"],"metadata":{"id":"bw90_zcWOWaw","executionInfo":{"status":"ok","timestamp":1662733879809,"user_tz":-120,"elapsed":7067,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"colab":{"base_uri":"https://localhost:8080/","height":1000},"outputId":"83dd6ff1-7a68-4152-d3dc-ce38d9585f80"},"execution_count":4,"outputs":[{"output_type":"stream","name":"stdout","text":["######################################################\n","index: 0\n","Original:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["Reconstruction:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["######################################################\n","index: 563\n","Original:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["Reconstruction:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["######################################################\n","index: 626\n","Original:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["Reconstruction:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Generate new sounds by latent space interpolation."],"metadata":{"id":"OW4VfymgmU85"}},{"cell_type":"code","source":["test_interpulation(test_data[0], test_data[1], encoder, decoder, path_name = \"./data/test_interpolation\", save_data=True)\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"XOe1EfwWmKZt","executionInfo":{"status":"ok","timestamp":1662733885795,"user_tz":-120,"elapsed":5995,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"outputId":"ace91f13-6917-4e12-bc0d-90685a5335c2"},"execution_count":5,"outputs":[{"output_type":"stream","name":"stdout","text":["First Original:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["Second Original:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["######################################################\n","Interpolations:\n"]},{"output_type":"stream","name":"stderr","text":["\r 0%| | 0/9 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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 11%|█ | 1/9 [00:00<00:04, 1.73it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 22%|██▏ | 2/9 [00:01<00:04, 1.69it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 33%|███▎ | 3/9 [00:01<00:03, 1.69it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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44%|████▍ | 4/9 [00:02<00:02, 1.72it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 56%|█████▌ | 5/9 [00:02<00:02, 1.76it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 67%|██████▋ | 6/9 [00:03<00:01, 1.75it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 78%|███████▊ | 7/9 [00:04<00:01, 1.77it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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rK6TCv1JQlCuMvYefRYbDLDhITYeTy5q87WnUaEviEU2T2Zg6QQnJiEoDGwwoH7xcs5IteKkUVcKKKsspg6QhKBMgs08HWIXSENQDtjdzkmsb5aEfohp9KEEfncLBxQ7Y+zwEBuN46DOI7FMx91ZJeLBLAVXoKJIZvh+EoKyAq78vV3kd8N0iGXwj1xtuNIHG6C2ls901EKIvlKcKlGT+ThbFkNVTT2ldmzUJOjOTx7/WNtyiEF619gHL/sPzT/X1Q2th2s+YNMaSS6khSsc9UtZUBPqPrz4YwfsbI7YH/Qpxz3MCysdVEV4NuNBzWspXClcRVj3CsZmFTwt1+7bx+vl4ntYmOAsGJ7BKFWzv2Y/5yooSpv5TJgcLYx2VhU/Y1HQ8XMTw7WhtdwYsCYF47X5sRiorGf2m6l5J4KO6z0XRlP3HMVz+/DS5Zv78hdMEoJSDfWTO7zkdnAlrFeK7njrrxGDpyUkC+KJX3bzXjA2w0Wx5sdsTBx3VxNqQT914a+hcd8nNSEt0zRM46iWuarqSERo240/1kE/Ysi2lifH9a1aq6mV4mS1OAdO2EY/DN9PhCQE5cZwz38fTGPHR2UrDNhPHe4qzsLSfsww43TPPuubbGv2a8+J0OZGzc11+mh2neVXEvX7ST1UT6IkMuh95wo6GAaX/HCEjUZ5MME81HVSTxGSEBSAhiP85Sv4w1E2OE+AeUNKR1JJ+FBNTLmNx1lMK04aghJoo4/b2gr9gYSMutTRWg+tJdPQpNHkmcCf20FrPYrRXqipmvzCcKzBCUcmHINXZX9L6+tofQ0Gg2UXBUhFUAXs37cHthfyu5QxeK7ywQqo/cQmwBuuCsFtrgp3dNMgumsHfgKzd4swiYW6XsRnKJRNp1/k+DvI6a7H2AIQBl54u/EAjOMGpF7vu2p7Wk64vV3oFfD8Cy9/jleIJATl+/DCew44vzPg6niN2ju8iaoq8F7UVYGvBSasdlAr/HlQLfDhgjWeFb7lYxngwdXxolqzD9cM35p83qbrE2O0DsapqxqxT/dvtrUxN3t8cwrbiDH0LV9sapY2OwevrDFA24RzRWM0RrFu/L/9m/zmF08SglIN9Vd3+dbmDqqjGKrggLsaetX04jYCaS6C6qmBqZZYXG0TB3ziXDeOd1yGeBza+8UVm17o5vOusqmhWrUfBdn0kUhTW0mTMsHUYKXQrEna0LjtjcBiGWhMVRf/7xi52qzXu/1QQydCEoJyJXzXI4PJczqNq/i8LjRtqurZJq1psmo/jfUGrhnMADNN4EzT9DLm5lzP1+bor+k6yzfi5Y589L21116Ejf4Jjn62JCEoDHrPH6DDURjtcngYzM2qNZ3Pq7DDPQ9WVYgsqFkMdDjCrh7gr1x99SVQPA3t6IMESMOHgtCcAXnC+pOhtTVsI52gxCRqKHNge9uocLheD4aHwYNq+j11ff0Huq928W1uUO9uJDPYMwlB4aC6ZZNivYfKrdARj+k3wmDNKJ6mo31knF3zZR7b6W68IJjWfkcmLmtQ4aa+Ufu9VqAdzs36UO31I+9NfK5mfZ7pHU+AigK/t0W5t856by2JqM0kBGUOLt+3NQlcm77RsgfihZlYA5FpTNJ0u7UbcrXem1gF0TaYHD+al9GAbG7bp3FJ0Xuyo2Wb9Ykm77cD7JpzweSHMWMLHHPLPw3Wm9oGk3M5JjaBFWLw+l3KbUd/o58FNWHDc+fPPMVbzz/NyK9Rm6O0gtIKvImR7zHyPSpfUJrDWzQ+zXFYrzGuC+qoIkd4+u7iVXMyKu8Y1T0smkGVd9SmyT4AhYzCeVzrs8MyHLusCupotAIzT/edM8zUipcTde1mW5+JCRXKbdGINR9NWRmKxwlCj8fzbWeUqaEbDgUeiqFj92nHuf46JOBvJiEoq8QXHr+Xx/bunDiU5jW5eTEP1lykyZcelxvH3IRNqhamxs+khoufE5Ow4ZkyiBmXUz4c11WamqoxavS6BlPrXIKJ4zqJHJVR+Ka8rc8wW6vKWsc6zniNZVAVwqeLkZHKcPS5BCXp6wT910BlZvdLOg/8LnAP8HXg3Wb2Ypzk/leBB4AB8M/N7K9e9viluPcTHlXF8WG5Fu1xuNZRPhpK22qamrjtCUeewU2eAbY/P9k3rtf1dBKNdsf36KCF5nndTFN35Ja+9SzRzMKgiCPvN/22mQETx4Qoq3DQX2fwPRepNx12eHjNPsvgJDXUPzCz51rrDwOfNrMPSno4rr8f+BHgvvj3ZuA34ut1kcH6iyPcwSh86WUVp44+0vmOWNNJb08dDSHGutWBF8w8Cgnueo0krDVvQth/9qJZXSOnpKNG1evRP79Hda6PHaYRV36aJu9dwNvi8kcIk7m+P27/rTiV9F9KOifpDjP75ssdTGWNDsdhSHoTbFfXWDkNYbHWLxziI5KbCMibVx6nvAk7c6yq6F0+gELX3kEuiXkbXgP+h6TPS3oobrvYEsm3gItxeZKaI9JO2zGhnZqjPjiY1gJlnJe8EVMrUyfeQnaFqorraXyJS6Ws0GE638W8NdQPmdmzkl4DfErSV9tvmpnphIHN7dQcm6+923y/B2yGvgHEYUpxyFAz8VcdsnxaWQXPJ4pu+rzvVeiy+/g9JcJcgjKzZ+PrJUmfJMxP/u2mKZN0B3Ap7t6k5mhop+04lsnsc+PYd6pbX1B7XFvTYV3rQVFAHSvYiXlZtD53nWHrR2eQW3UBeh+6CavilEvaBpyZ7cflfwj8W6YpOD7Itak5fk7SRwmd8cs37D/V4IYl2h9gw2HoYMYQlPZUf8f2E076JSY0OdcisKoO4T2JME8NdRH4ZLyN7QH/1cz+WNLngI9JehD4BvDuuP8jBMvgKYJt8NM3OoFq8Os93NZGuF3u9UJM+XgcjO7JrfPRRxfL/0UuGxsMQv8pke9CN8jr88oUQtoHnlh2OebkNuC5G+61fM66nN9lZrcf3ZiEUw48YWb3L7sQ8yDp0VUo67LKmYZfn+kMWVCZhZKKoD607AKcgFUp61LKmUSnPNMdUqmhMh1h6YKS9E5JT0h6KkYtLLMsH5Z0SdKXWtvOS/qUpCfj661xuyT9Wiz3Y5Le9AqX9W5Jn5H0uKQvS3pfEuW1GIOzjD/Cs5KvAd8NrANfBN64xPL8feBNwJda2/498HBcfhj4pbj8APBHhBC7twCffYXLegfwpri8C/wt8MZll3fZgnor8Cet9Q8AH1hyme45IqgngDtaF/GJuPwfgfcet9+Syv37wDuWXd5lN3lzhbosmVOF6bwSSLoH+H7gsyy5vMsW1Eph4aed1G2xpB3g94CfN7Mr7feWUd5lC+rEoS5L4NsxPIfThuksGklrBDH9tpl9Im5eanmXLajPAfdJulfSOvAeQvhLSjRhOnBtmM5PxruntzBHmM4iiYNBfhP4ipn9cjLlXWYHOHYOHyDcoXwN+FdLLsvvAN8ESkIf40HgAvBp4EngT4HzcV8Bvx7L/TfA/a9wWX+I0Jw9Bvx1/Htg2eXNTnlmoSy7yct0jCyozELJgsoslCyozELJgsoslCyozELJgsoslCyozEL5/xwXjHE2Y3IZAAAAAElFTkSuQmCC\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 89%|████████▉ | 8/9 [00:04<00:00, 1.78it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["100%|██████████| 9/9 [00:05<00:00, 1.76it/s]\n"]}]},{"cell_type":"markdown","source":["### Generate new sounds by random sampling in the latent space."],"metadata":{"id":"pPRUx7thmw9E"}},{"cell_type":"code","source":["test_random_sampling(decoder=decoder, n_sample=5, save_data=True, path_name = \"./data/test_random_sampling\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"VCyY_-2XmMDA","executionInfo":{"status":"ok","timestamp":1662733889314,"user_tz":-120,"elapsed":3531,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"outputId":"b95e4cc4-8d84-421e-ce7d-8986d17121eb"},"execution_count":6,"outputs":[{"output_type":"stream","name":"stderr","text":["\r 0%| | 0/5 [00:00"],"image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 20%|██ | 1/5 [00:00<00:02, 1.85it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 40%|████ | 2/5 [00:01<00:01, 1.80it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 60%|██████ | 3/5 [00:01<00:01, 1.78it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["\r 80%|████████ | 4/5 [00:02<00:00, 1.76it/s]"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["100%|██████████| 5/5 [00:02<00:00, 1.78it/s]\n"]}]},{"cell_type":"markdown","source":["### Generate new sounds by style transform."],"metadata":{"id":"tXJ-uyyHm4uO"}},{"cell_type":"code","source":["test_style_transform(test_data[0], encoder=encoder, decoder=decoder, perceptual_label_predictor=perceptual_label_predictor,\n"," n_samples=100, save_data=True, goal=2, direction=1, path_name = \"./data/test_style_transform\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":573},"id":"6oAE2IASmMwW","executionInfo":{"status":"ok","timestamp":1662733890127,"user_tz":-120,"elapsed":821,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}},"outputId":"828d1873-1487-4f15-b13a-6cba48cc4c44"},"execution_count":7,"outputs":[{"output_type":"stream","name":"stdout","text":["Original:\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["######################################################\n","Manipulated (suffix):\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["The CNN-based VAE\n","======\n","The following code assembles and trains the CNN-based VAE.\n","\n","Detailed implementation of components (e.g. Attention, Upsample, etc.) can be found in *VAE_model.py*."],"metadata":{"id":"-XlVr7KxvOCP"}},{"cell_type":"markdown","source":["![Cells.png](data:image/png;base64,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)"],"metadata":{"id":"CoZkI2NJtTe-"}},{"cell_type":"markdown","source":["![image.png](data:image/png;base64,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)"],"metadata":{"id":"GsBW-NiaxZG5"}},{"cell_type":"code","source":["from model.VAE import VAE, train_VAE\n","from load_data import load_data\n","\n","# Generate models\n","encoder, decoder, vae = VAE(N2=0, N3=8, channel_sizes=[32,64,64,96,96,128,160,216])\n","\n","# Define training stages\n","stages = []\n","for i in range(8):\n"," stages.append({\"n_epoch\": 50, \"threshold\": 1e-0, \"kl_weight\": 100.0, \"learning_rate\": 0.0001})\n","for i in range(4):\n"," stages.append({\"n_epoch\": 50, \"threshold\": 1e-2, \"kl_weight\": 500.0, \"learning_rate\": 0.00001})\n","for i in range(2):\n"," stages.append({\"n_epoch\": 50, \"threshold\": 1e-3, \"kl_weight\": 1000.0, \"learning_rate\": 0.00001})\n","\n","# Generate data\n","data_cache = load_data(1500)\n","\n","# Train the model (Models will be stored under directory \"/models/new_trained_models\")\n","train_VAE(vae, encoder, decoder, data_cache, stages, 16)"],"metadata":{"id":"C34AuuwvmECP"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["The perceptual label predictor\n","======\n","The following code assembles and trains the perceptual label predictor."],"metadata":{"id":"e0EMY9H8rco6"}},{"cell_type":"code","source":["from model.perceptual_label_predictor import perceptual_label_predictor, train_perceptual_label_predictor\n","\n","# Generate the model\n","PLP = perceptual_label_predictor()\n","\n","# Generate data and train the model (Model will be stored under directory \"/models/new_trained_models\")\n","train_perceptual_label_predictor(PLP, encoder)"],"metadata":{"id":"H7XE0KzNkHMS","executionInfo":{"status":"aborted","timestamp":1662733930745,"user_tz":-120,"elapsed":5,"user":{"displayName":"Weixuan Yuan","userId":"03424318135325902808"}}},"execution_count":null,"outputs":[]}]}