49.6 kB

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"gpuType":"T4","authorship_tag":"ABX9TyOz+FYRWdocnZ92UqljAp/A"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"},"accelerator":"GPU"},"cells":[{"cell_type":"code","execution_count":4,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"PPK4exuIhbeD","executionInfo":{"status":"ok","timestamp":1755157806586,"user_tz":-345,"elapsed":118,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}},"outputId":"19087b67-3e85-4f4b-96bf-31098902d26f"},"outputs":[{"output_type":"stream","name":"stdout","text":["fatal: destination path 'Functional-Latent_Dynamics' already exists and is not an empty directory.\n","/content/Functional-Latent_Dynamics\n"]}],"source":["!git clone https://github.com/kloetergensc/Functional-Latent_Dynamics.git\n","%cd Functional-Latent_Dynamics"]},{"cell_type":"code","source":["!wget https://repo.anaconda.com/miniconda/Miniconda3-latest-Linux-x86_64.sh\n","!chmod +x Miniconda3-latest-Linux-x86_64.sh\n","!bash ./Miniconda3-latest-Linux-x86_64.sh -b -f -p /usr/local\n","\n","import sys\n","sys.path.append('/usr/local/lib/python3.9/site-packages')\n","\n","!conda tos accept --override-channels --channel https://repo.anaconda.com/pkgs/main\n","!conda tos accept --override-channels --channel https://repo.anaconda.com/pkgs/r"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"VrH22LfYiFH9","executionInfo":{"status":"ok","timestamp":1755157733963,"user_tz":-345,"elapsed":21010,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}},"outputId":"abc8ac81-63cc-4d58-be7d-20e2c122fce4"},"execution_count":1,"outputs":[{"output_type":"stream","name":"stdout","text":["--2025-08-14 07:48:32-- https://repo.anaconda.com/miniconda/Miniconda3-latest-Linux-x86_64.sh\n","Resolving repo.anaconda.com (repo.anaconda.com)... 104.16.32.241, 104.16.191.158, 2606:4700::6810:20f1, ...\n","Connecting to repo.anaconda.com (repo.anaconda.com)|104.16.32.241|:443... connected.\n","HTTP request sent, awaiting response... 200 OK\n","Length: 160039710 (153M) [application/octet-stream]\n","Saving to: ‘Miniconda3-latest-Linux-x86_64.sh’\n","\n","Miniconda3-latest-L 100%[===================>] 152.62M 125MB/s in 1.2s \n","\n","2025-08-14 07:48:34 (125 MB/s) - ‘Miniconda3-latest-Linux-x86_64.sh’ saved [160039710/160039710]\n","\n","PREFIX=/usr/local\n","Unpacking payload ...\n","entry_point.py:256: DeprecationWarning: Python 3.14 will, by default, filter extracted tar archives and reject files or modify their metadata. Use the filter argument to control this behavior.\n","entry_point.py:256: DeprecationWarning: Python 3.14 will, by default, filter extracted tar archives and reject files or modify their metadata. Use the filter argument to control this behavior.\n","\n","Installing base environment...\n","\n","Preparing transaction: ...working... done\n","Executing transaction: ...working... done\n","entry_point.py:256: DeprecationWarning: Python 3.14 will, by default, filter extracted tar archives and reject files or modify their metadata. Use the filter argument to control this behavior.\n","installation finished.\n","WARNING:\n"," You currently have a PYTHONPATH environment variable set. This may cause\n"," unexpected behavior when running the Python interpreter in Miniconda3.\n"," For best results, please verify that your PYTHONPATH only points to\n"," directories of packages that are compatible with the Python interpreter\n"," in Miniconda3: /usr/local\n","accepted Terms of Service for \u001b[4;94mhttps://repo.anaconda.com/pkgs/main\u001b[0m\n","accepted Terms of Service for \u001b[4;94mhttps://repo.anaconda.com/pkgs/r\u001b[0m\n"]}]},{"cell_type":"code","source":["!conda create -n newenvs python=3.10 -y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"collapsed":true,"id":"Cd6DC4SLjQTG","executionInfo":{"status":"ok","timestamp":1755158466861,"user_tz":-345,"elapsed":9272,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}},"outputId":"dfcb2255-379f-4a28-bfe1-8e22941969db"},"execution_count":7,"outputs":[{"output_type":"stream","name":"stdout","text":["\u001b[1;32m2\u001b[0m\u001b[1;32m channel Terms of Service accepted\u001b[0m\n","Channels:\n"," - defaults\n","Platform: linux-64\n","Collecting package metadata (repodata.json): - \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\bdone\n","Solving environment: - \b\bdone\n","\n","\n","==> WARNING: A newer version of conda exists. <==\n"," current version: 25.5.1\n"," latest version: 25.7.0\n","\n","Please update conda by running\n","\n"," $ conda update -n base -c defaults conda\n","\n","\n","\n","## Package Plan ##\n","\n"," environment location: /usr/local/envs/newenvs\n","\n"," added / updated specs:\n"," - python=3.10\n","\n","\n","The following packages will be downloaded:\n","\n"," package | build\n"," ---------------------------|-----------------\n"," python-3.10.18 | h1a3bd86_0 26.5 MB\n"," setuptools-78.1.1 | py310h06a4308_0 1.7 MB\n"," wheel-0.45.1 | py310h06a4308_0 115 KB\n"," ------------------------------------------------------------\n"," Total: 28.4 MB\n","\n","The following NEW packages will be INSTALLED:\n","\n"," _libgcc_mutex pkgs/main/linux-64::_libgcc_mutex-0.1-main \n"," _openmp_mutex pkgs/main/linux-64::_openmp_mutex-5.1-1_gnu \n"," bzip2 pkgs/main/linux-64::bzip2-1.0.8-h5eee18b_6 \n"," ca-certificates pkgs/main/linux-64::ca-certificates-2025.7.15-h06a4308_0 \n"," expat pkgs/main/linux-64::expat-2.7.1-h6a678d5_0 \n"," ld_impl_linux-64 pkgs/main/linux-64::ld_impl_linux-64-2.40-h12ee557_0 \n"," libffi pkgs/main/linux-64::libffi-3.4.4-h6a678d5_1 \n"," libgcc-ng pkgs/main/linux-64::libgcc-ng-11.2.0-h1234567_1 \n"," libgomp pkgs/main/linux-64::libgomp-11.2.0-h1234567_1 \n"," libstdcxx-ng pkgs/main/linux-64::libstdcxx-ng-11.2.0-h1234567_1 \n"," libuuid pkgs/main/linux-64::libuuid-1.41.5-h5eee18b_0 \n"," libxcb pkgs/main/linux-64::libxcb-1.17.0-h9b100fa_0 \n"," ncurses pkgs/main/linux-64::ncurses-6.5-h7934f7d_0 \n"," openssl pkgs/main/linux-64::openssl-3.0.17-h5eee18b_0 \n"," pip pkgs/main/noarch::pip-25.1-pyhc872135_2 \n"," pthread-stubs pkgs/main/linux-64::pthread-stubs-0.3-h0ce48e5_1 \n"," python pkgs/main/linux-64::python-3.10.18-h1a3bd86_0 \n"," readline pkgs/main/linux-64::readline-8.3-hc2a1206_0 \n"," setuptools pkgs/main/linux-64::setuptools-78.1.1-py310h06a4308_0 \n"," sqlite pkgs/main/linux-64::sqlite-3.50.2-hb25bd0a_1 \n"," tk pkgs/main/linux-64::tk-8.6.14-h993c535_1 \n"," tzdata pkgs/main/noarch::tzdata-2025b-h04d1e81_0 \n"," wheel pkgs/main/linux-64::wheel-0.45.1-py310h06a4308_0 \n"," xorg-libx11 pkgs/main/linux-64::xorg-libx11-1.8.12-h9b100fa_1 \n"," xorg-libxau pkgs/main/linux-64::xorg-libxau-1.0.12-h9b100fa_0 \n"," xorg-libxdmcp pkgs/main/linux-64::xorg-libxdmcp-1.1.5-h9b100fa_0 \n"," xorg-xorgproto pkgs/main/linux-64::xorg-xorgproto-2024.1-h5eee18b_1 \n"," xz pkgs/main/linux-64::xz-5.6.4-h5eee18b_1 \n"," zlib pkgs/main/linux-64::zlib-1.2.13-h5eee18b_1 \n","\n","\n","\n","Downloading and Extracting Packages:\n","python-3.10.18 | 26.5 MB | : 0% 0/1 [00:00<?, ?it/s]\n","setuptools-78.1.1 | 1.7 MB | : 0% 0/1 [00:00<?, ?it/s]\u001b[A\n","\n","wheel-0.45.1 | 115 KB | : 0% 0/1 [00:00<?, ?it/s]\u001b[A\u001b[A\n","\n","python-3.10.18 | 26.5 MB | : 3% 0.029429220766180708/1 [00:00<00:03, 3.47s/it]\n","\n","wheel-0.45.1 | 115 KB | : 100% 1.0/1 [00:00<00:00, 8.13it/s]\u001b[A\u001b[A\n","\n","wheel-0.45.1 | 115 KB | : 100% 1.0/1 [00:00<00:00, 8.13it/s]\u001b[A\u001b[A\n","python-3.10.18 | 26.5 MB | : 82% 0.8169551684691765/1 [00:00<00:00, 4.71it/s] \n","python-3.10.18 | 26.5 MB | : 100% 1.0/1 [00:00<00:00, 4.71it/s] \n","setuptools-78.1.1 | 1.7 MB | : 100% 1.0/1 [00:00<00:00, 1.51it/s]\u001b[A\n"," \n"," \u001b[A\n","\n"," \u001b[A\u001b[A\n","Preparing transaction: | \b\b/ \b\b- \b\b\\ \b\bdone\n","Verifying transaction: / \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\bdone\n","Executing transaction: / \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\bdone\n","#\n","# To activate this environment, use\n","#\n","# $ conda activate newenvs\n","#\n","# To deactivate an active environment, use\n","#\n","# $ conda deactivate\n","\n"]}]},{"cell_type":"code","source":["!source /usr/local/bin/activate newenvs && pip install -r requirements.txt"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"collapsed":true,"id":"IQVfe2LPjRLl","executionInfo":{"status":"ok","timestamp":1755158662517,"user_tz":-345,"elapsed":192883,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}},"outputId":"5fb0064c-3fbf-43b7-9921-fe234c881c16"},"execution_count":8,"outputs":[{"output_type":"stream","name":"stdout","text":["Collecting torch>=1.9.0 (from -r requirements.txt (line 1))\n"," Downloading torch-2.8.0-cp310-cp310-manylinux_2_28_x86_64.whl.metadata (30 kB)\n","Collecting scikit-learn (from -r requirements.txt (line 2))\n"," Downloading scikit_learn-1.7.1-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.whl.metadata (11 kB)\n","Collecting numpy (from -r requirements.txt (line 3))\n"," Downloading numpy-2.2.6-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (62 kB)\n","Collecting stribor==0.1.0 (from -r requirements.txt (line 4))\n"," Using cached stribor-0.1.0-py3-none-any.whl.metadata (3.0 kB)\n","Collecting ipython (from -r requirements.txt (line 5))\n"," Downloading ipython-8.37.0-py3-none-any.whl.metadata (5.1 kB)\n","Collecting PyYAML (from -r requirements.txt (line 6))\n"," Downloading PyYAML-6.0.2-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (2.1 kB)\n","Collecting pandas (from -r requirements.txt (line 7))\n"," Downloading pandas-2.3.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (91 kB)\n","Collecting requests (from -r requirements.txt (line 8))\n"," Using cached requests-2.32.4-py3-none-any.whl.metadata (4.9 kB)\n","Collecting tqdm (from -r requirements.txt (line 9))\n"," Using cached tqdm-4.67.1-py3-none-any.whl.metadata (57 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torchvision-0.23.0-cp310-cp310-manylinux_2_28_x86_64.whl.metadata (6.1 kB)\n","Collecting geotorch (from -r requirements.txt (line 17))\n"," Using cached geotorch-0.3.0-py3-none-any.whl.metadata (14 kB)\n","Collecting pytest (from stribor==0.1.0->-r requirements.txt (line 4))\n"," Using cached pytest-8.4.1-py3-none-any.whl.metadata (7.7 kB)\n","Collecting scipy (from stribor==0.1.0->-r requirements.txt (line 4))\n"," Downloading scipy-1.15.3-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (61 kB)\n","Collecting torchdiffeq==0.2.1 (from stribor==0.1.0->-r requirements.txt (line 4))\n"," Using cached torchdiffeq-0.2.1-py3-none-any.whl.metadata (436 bytes)\n","Collecting contourpy>=1.0.1 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Downloading contourpy-1.3.2-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (5.5 kB)\n","Collecting cycler>=0.10 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Using cached cycler-0.12.1-py3-none-any.whl.metadata (3.8 kB)\n","Collecting fonttools>=4.22.0 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Downloading fonttools-4.59.0-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.whl.metadata (107 kB)\n","Collecting kiwisolver>=1.0.1 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Downloading kiwisolver-1.4.9-cp310-cp310-manylinux_2_12_x86_64.manylinux2010_x86_64.whl.metadata (6.3 kB)\n","Collecting packaging>=20.0 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Using cached packaging-25.0-py3-none-any.whl.metadata (3.3 kB)\n","Collecting pillow>=6.2.0 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Downloading pillow-11.3.0-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl.metadata (9.0 kB)\n","Collecting pyparsing>=2.2.1 (from matplotlib==3.6.0->-r requirements.txt (line 11))\n"," Using cached pyparsing-3.2.3-py3-none-any.whl.metadata (5.0 kB)\n","Collecting python-dateutil>=2.7 (from 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executing-2.2.0-py2.py3-none-any.whl (26 kB)\n","Using cached pure_eval-0.2.3-py3-none-any.whl (11 kB)\n","Using cached wcwidth-0.2.13-py2.py3-none-any.whl (34 kB)\n","Installing collected packages: wcwidth, tsdm, pytz, pure-eval, ptyprocess, nvidia-cusparselt-cu12, mpmath, urllib3, tzdata, typing-extensions, triton, traitlets, tqdm, torchinfo, tomli, threadpoolctl, tensorboard-data-server, sympy, six, PyYAML, pyparsing, pygments, pyarrow, protobuf, prompt_toolkit, pluggy, pillow, pexpect, parso, packaging, nvidia-nvtx-cu12, nvidia-nvjitlink-cu12, nvidia-nccl-cu12, nvidia-curand-cu12, nvidia-cufile-cu12, nvidia-cuda-runtime-cu12, nvidia-cuda-nvrtc-cu12, nvidia-cuda-cupti-cu12, nvidia-cublas-cu12, numpy, networkx, MarkupSafe, markdown, kiwisolver, joblib, iniconfig, idna, grpcio, fsspec, fonttools, filelock, executing, decorator, cycler, charset_normalizer, certifi, asttokens, absl-py, werkzeug, stack_data, scipy, requests, python-dateutil, nvidia-cusparse-cu12, nvidia-cufft-cu12, nvidia-cudnn-cu12, matplotlib-inline, jinja2, jedi, exceptiongroup, contourpy, tensorboard, scikit-learn, pytest, pandas, nvidia-cusolver-cu12, matplotlib, ipython, torch, torchvision, torchdiffeq, geotorch, stribor\n","\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m83/83\u001b[0m [stribor]\n","\u001b[1A\u001b[2KSuccessfully installed MarkupSafe-3.0.2 PyYAML-6.0.2 absl-py-2.3.1 asttokens-3.0.0 certifi-2025.8.3 charset_normalizer-3.4.3 contourpy-1.3.2 cycler-0.12.1 decorator-5.2.1 exceptiongroup-1.3.0 executing-2.2.0 filelock-3.18.0 fonttools-4.59.0 fsspec-2025.7.0 geotorch-0.3.0 grpcio-1.74.0 idna-3.10 iniconfig-2.1.0 ipython-8.37.0 jedi-0.19.2 jinja2-3.1.6 joblib-1.5.1 kiwisolver-1.4.9 markdown-3.8.2 matplotlib-3.6.0 matplotlib-inline-0.1.6 mpmath-1.3.0 networkx-3.4.2 numpy-2.2.6 nvidia-cublas-cu12-12.8.4.1 nvidia-cuda-cupti-cu12-12.8.90 nvidia-cuda-nvrtc-cu12-12.8.93 nvidia-cuda-runtime-cu12-12.8.90 nvidia-cudnn-cu12-9.10.2.21 nvidia-cufft-cu12-11.3.3.83 nvidia-cufile-cu12-1.13.1.3 nvidia-curand-cu12-10.3.9.90 nvidia-cusolver-cu12-11.7.3.90 nvidia-cusparse-cu12-12.5.8.93 nvidia-cusparselt-cu12-0.7.1 nvidia-nccl-cu12-2.27.3 nvidia-nvjitlink-cu12-12.8.93 nvidia-nvtx-cu12-12.8.90 packaging-25.0 pandas-2.3.1 parso-0.8.4 pexpect-4.9.0 pillow-11.3.0 pluggy-1.6.0 prompt_toolkit-3.0.51 protobuf-6.31.1 ptyprocess-0.7.0 pure-eval-0.2.3 pyarrow-21.0.0 pygments-2.19.2 pyparsing-3.2.3 pytest-8.4.1 python-dateutil-2.9.0.post0 pytz-2025.2 requests-2.32.4 scikit-learn-1.7.1 scipy-1.15.3 six-1.17.0 stack_data-0.6.3 stribor-0.1.0 sympy-1.14.0 tensorboard-2.20.0 tensorboard-data-server-0.7.2 threadpoolctl-3.6.0 tomli-2.2.1 torch-2.8.0 torchdiffeq-0.2.1 torchinfo-1.8.0 torchvision-0.23.0 tqdm-4.67.1 traitlets-5.14.3 triton-3.4.0 tsdm-0.0.0 typing-extensions-4.14.1 tzdata-2025.2 urllib3-2.5.0 wcwidth-0.2.13 werkzeug-3.1.3\n"]}]},{"cell_type":"code","source":["!source /usr/local/bin/activate newenvs && pip install numpy==1.26.4"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"4ri4P4VCno1K","executionInfo":{"status":"ok","timestamp":1755160183069,"user_tz":-345,"elapsed":5631,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}},"outputId":"28386cca-7951-4023-bae7-f3031cf2b61d"},"execution_count":28,"outputs":[{"output_type":"stream","name":"stdout","text":["Collecting numpy==1.26.4\n"," Downloading numpy-1.26.4-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (61 kB)\n","Downloading numpy-1.26.4-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (18.2 MB)\n","\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m18.2/18.2 MB\u001b[0m \u001b[31m34.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n","\u001b[?25hInstalling collected packages: numpy\n"," Attempting uninstall: numpy\n"," Found existing installation: numpy 2.2.6\n"," Uninstalling numpy-2.2.6:\n"," Successfully uninstalled numpy-2.2.6\n","Successfully installed numpy-1.26.4\n"]}]},{"cell_type":"code","source":["#create .py file from goodwin.ipynb\n","#remove verboe=True parameter in line 163"],"metadata":{"id":"ffGpk-gNtjtb"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["%mkdir saved_models"],"metadata":{"id":"Y_5HHsF7uWIT","executionInfo":{"status":"ok","timestamp":1755160618747,"user_tz":-345,"elapsed":101,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}}},"execution_count":31,"outputs":[]},{"cell_type":"code","source":["!source /usr/local/bin/activate newenvs && python goodwin.py"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"EL4IOU7mkl3W","executionInfo":{"status":"ok","timestamp":1755160895126,"user_tz":-345,"elapsed":274000,"user":{"displayName":"Santosh Upreti","userId":"01961227760879466523"}},"outputId":"9bb9946f-a870-4d5e-f1c3-c719a7510255"},"execution_count":32,"outputs":[{"output_type":"stream","name":"stdout","text":["cuda\n","6026\n","/content/Functional-Latent_Dynamics/goodwin.py:102: UserWarning: Converting a tensor with requires_grad=True to a scalar may lead to unexpected behavior.\n","Consider using tensor.detach() first. (Triggered internally at /pytorch/torch/csrc/autograd/generated/python_variable_methods.cpp:835.)\n"," train_loss = torch.mean(torch.Tensor(loss_list))\n","1 Train: 0.8640648126602173 VAL: 0.8119714856147766 epoch time: 2 secs\n","2 Train: 0.7756660580635071 VAL: 0.7026297450065613 epoch time: 1 secs\n","3 Train: 0.6689534783363342 VAL: 0.5743981599807739 epoch time: 1 secs\n","4 Train: 0.5465946197509766 VAL: 0.44973230361938477 epoch time: 1 secs\n","5 Train: 0.4268551170825958 VAL: 0.37160271406173706 epoch time: 1 secs\n","6 Train: 0.35723692178726196 VAL: 0.3262237310409546 epoch time: 1 secs\n","7 Train: 0.3181346654891968 VAL: 0.2857869863510132 epoch time: 1 secs\n","8 Train: 0.27704912424087524 VAL: 0.25919121503829956 epoch time: 2 secs\n","9 Train: 0.24976010620594025 VAL: 0.22065116465091705 epoch time: 1 secs\n","10 Train: 0.22048242390155792 VAL: 0.19454647600650787 epoch time: 1 secs\n","11 Train: 0.19693037867546082 VAL: 0.1753768026828766 epoch time: 1 secs\n","12 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Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n","No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"]}]}]}

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