diff --git a/02_tensor_decomposition/nn_cp_decomposition.ipynb b/02_tensor_decomposition/nn_cp_decomposition.ipynb new file mode 100644 index 0000000..080ad01 --- /dev/null +++ b/02_tensor_decomposition/nn_cp_decomposition.ipynb @@ -0,0 +1,402 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Non-negative CP decomposition in Tensorly >=0.6" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since version 0.6 in Tensorly, several options are available to compute non-negative CP, in particular several algorithms:\n", + "- Multiplicative updates (MU) (already in Tensorly <0.6)\n", + "- Nonnegative Alternating Least Squares using Hierarchical Alternating Least Squares (HALS) \n", + "\n", + "Non-negativity is an important constraint to handle for tensor decompositions. One could expect that factors must have only non-negative values after it is obtained from a non-negative tensor. " + ] + }, + { + "attachments": { + "nncp.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![nncp.png](attachment:nncp.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both algorithms solve the minimization problem by updating each factor alternatively. During a single factor update, other factors are fixed without any change. Then, this update is repeated for each factor. MU updates the whole factor at once with a element-wise multiplication. On the other hand, HALS algorithm aims at columnwise optimal closed-form update. In the figure below, M represents a tensor or matrix which can be decomposed into factors W and H. Two different equations are demonstrated in order to make explicit difference between MU and HALS. In these quations, `k` is the iteration and `p` is the updated column." + ] + }, + { + "attachments": { + "hals_eq-2.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![hals_eq-2.png](attachment:hals_eq-2.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We start by importing a few toolboxes as well as the required functions from tensorly and some libraries such as numpy and time. Note that tensorly uses numpy backend as default, however other backends (pytorch, tensorflow, mxnet and jax) can be used for Non-negative CP (NCP) decomposition as well." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import tensorly as tl\n", + "from tensorly.decomposition import non_negative_parafac, non_negative_parafac_hals\n", + "from tensorly.decomposition._cp import initialize_cp\n", + "from tensorly.cp_tensor import CPTensor\n", + "import time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are several ways to create a tensor with nonnegative entries in tensorly. Here we chose to generate a random from the sequence of integers from 1 to 24000." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#tensor generation\n", + "tensor = tl.tensor(np.arange(24000).reshape((30, 40, 20)), dtype=tl.float32)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our goal here is to produce an approximation of the tensor generated above which follows a low-rank CP model, with non-negative coefficients.\n", + "\n", + "Before using these algorithms, we can use Tensorly to produce a good initial guess for our NCP. In fact, in order to compare both algorithmic options in a fair way, it is a good idea to use same initialized factors in decomposition algorithms. \n", + "\n", + "We make use of the `initialize_cp` function to initialize the factors of the NCP, and transform these factors (and factors weights) into an instance of the CPTensor class:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/ctuna/tensorly/tensorly/backend/core.py:974: RuntimeWarning: invalid value encountered in sqrt\n", + " S = np.where(np.abs(S) <= np.finfo(S.dtype).eps, 0, np.sqrt(S))\n" + ] + } + ], + "source": [ + "weightsinit, factorsinit = initialize_cp(tensor, rank=3)\n", + "\n", + "cpinit = CPTensor((weightsinit,factorsinit))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From now on, we can use the same `cpinit` tensor as the initial tensor when we use decomposition functions. \n", + "\n", + "Now let us first use the algorithm based on Multiplicative Update, which can be called as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "tic = time.time()\n", + "tensormu, errors_mu = non_negative_parafac(tensor, rank=3, init=cpinit, return_errors=True)\n", + "cp_reconstruction_mu = tl.cp_to_tensor(tensormu)\n", + "time_mu = time.time()-tic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we also compute the output tensor from the decomposed factors by using the `cp_to_tensor` function. The tensor `cp_reconstruction_mu` is therefore a low-rank nonnegative approximation of the input tensor `tensor`; looking at the first few values of both tensors shows that this is indeed the case but the approximation is quite coarse." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "reconstructed tensor\n", + " [[[8330.163 8305.063]\n", + " [8330.657 8309.253]]\n", + "\n", + " [[9111.907 9091.817]\n", + " [9114.975 9102.314]]] \n", + "\n", + "input data tensor\n", + " [[[8210. 8211.]\n", + " [8230. 8231.]]\n", + "\n", + " [[9010. 9011.]\n", + " [9030. 9031.]]]\n" + ] + } + ], + "source": [ + "print('reconstructed tensor\\n',cp_reconstruction_mu[10:12,10:12,10:12],'\\n')\n", + "print('input data tensor\\n', tensor[10:12,10:12,10:12])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our second (new) option to compute NCP is the HALS algorithm, which can be used as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "tic = time.time()\n", + "tensorhals, errors_hals = non_negative_parafac_hals(tensor, rank=3, init=cpinit, return_errors=True)\n", + "cp_reconstruction_hals = tl.cp_to_tensor(tensorhals)\n", + "time_hals = time.time()-tic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, we can look at the reconstructed tensor entries." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "reconstructed tensor\n", + " [[[8204.269 8204.62 ]\n", + " [8225.369 8225.731]]\n", + "\n", + " [[9004.778 9005.189]\n", + " [9025.772 9026.193]]] \n", + "\n", + "input data tensor\n", + " [[[8210. 8211.]\n", + " [8230. 8231.]]\n", + "\n", + " [[9010. 9011.]\n", + " [9030. 9031.]]]\n" + ] + } + ], + "source": [ + "print('reconstructed tensor\\n',cp_reconstruction_hals[10:12,10:12,10:12],'\\n')\n", + "print('input data tensor\\n', tensor[10:12,10:12,10:12])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From only looking at a few entries of the reconstructed tensors, we can already see a huge gap between HALS and MU outputs." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Additionally, HALS algorithm has an option for exact solution to the nonnegative least squares subproblem rather than the faster, approximate solution. Note that the overall HALS algorithm will still provide an approximation of the input data, but will need longer to reach convergence. Exact subroutine solution option can be used simply choosing exact as True in the function:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "tic = time.time()\n", + "tensorhals_exact, errors_exact = non_negative_parafac_hals(tensor, rank=3, init=cpinit, return_errors=True, exact=True)\n", + "cp_reconstruction_exact_hals = tl.cp_to_tensor(tensorhals_exact)\n", + "time_exact_hals = time.time()-tic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First comparison option is processing time for each algorithm:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.03 seconds\n", + "0.13 seconds\n", + "327.93 seconds\n" + ] + } + ], + "source": [ + "print(str(\"{:.2f}\".format(time_mu)) +' '+ 'seconds')\n", + "print(str(\"{:.2f}\".format(time_hals)) +' '+ 'seconds')\n", + "print(str(\"{:.2f}\".format(time_exact_hals)) +' '+ 'seconds')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As it is expected, the exact solution takes much longer than the approximate solution, while the gain in performance is often void. Therefore we recommand to avoid this option unless it is specifically required by the application. Also note that on appearance, both MU and HALS have similar runtimes. However, a closer look suggest they are indeed behaving quite differently. Computing the error between the output and the input tensor tells that story better. In Tensorly, we provide a function to calculate Root Mean Square Error (RMSE):" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "from tensorly.metrics.regression import RMSE" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "115.35115\n", + "56.85671\n", + "31.952133\n" + ] + } + ], + "source": [ + "print(RMSE(tensor,cp_reconstruction_mu))\n", + "print(RMSE(tensor,cp_reconstruction_hals))\n", + "print(RMSE(tensor,cp_reconstruction_exact_hals))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "According to the RMSE results, HALS is better than the multiplicative update with both exact and approximate solution. In particular, HALS converged to a much lower reconstruction error than MU. We can better appreciate the difference in convergence speed on the following error per iteration plot:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "def each_iteration(a,b,c,title):\n", + " fig=plt.figure()\n", + " fig.set_size_inches(10, fig.get_figheight(), forward=True)\n", + " plt.plot(a)\n", + " plt.plot(b)\n", + " plt.plot(c)\n", + " plt.title(str(title))\n", + " plt.legend(['MU','HALS','Exact HALS'], loc='upper left')\n", + "each_iteration(errors_mu, errors_hals, errors_exact, 'Error for each iteration')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In conclusion, on this quick test, it appears that the HALS algorithm gives much better results than the MU original tensorly methods. Our recommendation is to use HALS as a default, and only resort to MU in specific cases (only encountered by expert users most likely)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Reference\n", + "\n", + "1- Gillis, N., & Glineur, F. (2012). Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization. Neural computation, 24(4), 1085-1105. [Link](https://www.mitpressjournals.org/doi/abs/10.1162/NECO_a_00256)" + ] + } + ], + "metadata": { + "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": "3.8.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/02_tensor_decomposition/nn_tucker_decomposition.ipynb b/02_tensor_decomposition/nn_tucker_decomposition.ipynb new file mode 100644 index 0000000..909e536 --- /dev/null +++ b/02_tensor_decomposition/nn_tucker_decomposition.ipynb @@ -0,0 +1,300 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Non-negative Tucker decomposition in Tensorly >=0.6" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since version 0.6 in Tensorly, two algorithms are available to compute non-negative Tucker decomposition:\n", + "- Multiplicative updates (MU) (already in Tensorly <0.6)\n", + "- Non-negative Alternating Least Squares using Hierarchical Alternating Least Squares (HALS) \n", + "\n", + "Non-negativity is an important constraint to handle for tensor decompositions. One could expect that core and factors must have only non-negative values after it is obtained from a non-negative tensor. As it is demonstrated in the figure below, Tucker decomposition includes core (G) and factors (A, B, C).\n", + "\n", + "$$T = [| G; A, B , C |]$$\n", + "We need to solve the following problem for each factor (e.g. factor A here):\n", + "\n", + "$$\\min_{A \\geq 0} ||T_{[1]} - A G_{[1]}(B\\otimes C)^T||_F^2$$\n", + "\n", + "Here, $G_{[i]}$ represents ith mode unfolding of the core. To update the core, we need the solve following problem:\n", + "\n", + "$$\\min_{g \\geq 0} ||t - (A\\otimes B \\otimes C)g ||_F^2$$\n", + "where t and g are the vectorized data tensor $T$ and core $G$.\n", + "\n", + "To update the factors, we will use HALS and to update the core, we have two different algorithms Active Set (AS) and Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) in Tensorly. While FISTA is an accelerated gradient method for non-negative or unconstrained problems, AS is the widely used non-negative least square solution proposed by Lawson and Hanson in 1974. Both algorithms return non-negative core and FISTA is the default algorithm for HALS Tucker decomposition in Tensorly." + ] + }, + { + "attachments": { + "ntucker.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![ntucker.png](attachment:ntucker.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "MU algorithm solves the minimization problem by updating all the values of each factor separately. On the other hand, HALS algorithm aims at columnwise update for each factor separately. In the figure below, M represents a tensor or matrix which can be decomposed into factors W and H. Two different equations are demonstrated in order to make explicit difference between MU and HALS. In these quations, `k` is the iteration and `p` is the updated column." + ] + }, + { + "attachments": { + "hals_eq-2.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![hals_eq-2.png](attachment:hals_eq-2.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We start by importing the toolbox as well as the required functions from tensorly and some libraries such as numpy and time. It should be noted that tensorly uses numpy backend as default. However, other backends (pytorch, tensorflow, mxnet and jax) can be used for NN-Tucker decomposition as well." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import tensorly as tl\n", + "from tensorly.decomposition import non_negative_tucker, non_negative_tucker_hals\n", + "import time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are several ways to create a tensor with non-negative entries in tensorly. Here we chose to generate a random tensor from the sequence of integers from 1 to 1000." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#tensor generation\n", + "array=np.random.randint(1000, size=(10,30,40))\n", + "tensor=tl.tensor(array,dtype='float')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, multiplicative update can be implemented as:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "tic = time.time()\n", + "tensor_mu, error_mu = non_negative_tucker(tensor, rank=[3,3,3], n_iter_max=100, tol=1e-12, return_errors=True)\n", + "tucker_reconstruction_mu = tl.tucker_to_tensor(tensor_mu)\n", + "time_mu= time.time()-tic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we also compute the output tensor from the decomposed factors by using the `tucker_to_tensor` function. The tensor `tucker_reconstruction_mu` is therefore a low-rank non-negative approximation of the input tensor `tensor`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "HALS algorithm with FISTA can be calculated as:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ticnew = time.time()\n", + "tensor_hals_fista, error_fista = non_negative_tucker_hals(tensor, rank=[3,3,3], algorithm='fista', return_errors=True)\n", + "tucker_reconstruction_fista = tl.tucker_to_tensor(tensor_hals_fista)\n", + "time_fista = time.time()-ticnew" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As a second option, HALS algorithm with Active Set can be called as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "ticnew = time.time()\n", + "tensor_hals_as, error_as = non_negative_tucker_hals(tensor, rank=[3,3,3], algorithm='active_set', return_errors=True)\n", + "tucker_reconstruction_as = tl.tucker_to_tensor(tensor_hals_as)\n", + "time_as = time.time()-ticnew" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To compare the various methods, first we may look at each algorithm processing time:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "time for tensorly nntucker: 0.09\n", + "time for HALS with fista: 1.17\n", + "time for HALS with as: 0.53\n" + ] + } + ], + "source": [ + "print('time for tensorly nntucker:'+' ' +str(\"{:.2f}\".format(time_mu)))\n", + "print('time for HALS with fista:'+' ' +str(\"{:.2f}\".format(time_fista)))\n", + "print('time for HALS with as:'+' ' +str(\"{:.2f}\".format(time_as)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All algorithms should run with about the same number of iterations on our example, so at first glance the MU algorithm is faster (i.e. has lower per-iteration complexity).\n", + "\n", + "A second way to compare methods is to compute the error between the output and input tensor. In tensorly, there is a function to compute Root Mean Square Error (RMSE):" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RMSE tensorly nntucker: 285.67103230388966\n", + "RMSE for hals with fista: 283.64966831902404\n", + "RMSE for hals with as: 283.5696695066508\n" + ] + } + ], + "source": [ + "from tensorly.metrics.regression import RMSE\n", + "print('RMSE tensorly nntucker:'+' ' +str(RMSE(tensor,tucker_reconstruction_mu)))\n", + "print('RMSE for hals with fista:'+' ' +str(RMSE(tensor,tucker_reconstruction_fista)))\n", + "print('RMSE for hals with as:'+' ' +str(RMSE(tensor,tucker_reconstruction_as)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "According to the RMSE results, HALS is better than the multiplicative update with both FISTA and active set core update options. We can better appreciate the difference in convergence speed on the following error per iteration plot:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "def each_iteration(a,b,c,title):\n", + " fig=plt.figure()\n", + " fig.set_size_inches(10, fig.get_figheight(), forward=True)\n", + " plt.plot(a)\n", + " plt.plot(b)\n", + " plt.plot(c)\n", + " plt.title(str(title))\n", + " plt.legend(['MU','HALS + Fista','HALS + AS'], loc='upper right')\n", + "each_iteration(error_mu, error_fista, error_as, 'Error for each iteration')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In conclusion, on this quick test, it appears that the HALS algorithm gives much better results than the MU original tensorly methods. Our recommendation is to use HALS as a default, and only resort to MU in specific cases (only encountered by expert users most likely). Besides, in this experiment FISTA and active set give very similar results, however active set may last longer when it is used with higher ranks according to our experience. Therefore, we recommend to use FISTA with high rank decomposition." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Reference\n", + "\n", + "1- Gillis, N., & Glineur, F. (2012). Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization. Neural computation, 24(4), 1085-1105. [Link](https://www.mitpressjournals.org/doi/abs/10.1162/NECO_a_00256)" + ] + } + ], + "metadata": { + "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": "3.8.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/README.rst b/README.rst index f30d38f..1f771b4 100644 --- a/README.rst +++ b/README.rst @@ -36,6 +36,8 @@ Table of contents - `CP decomposition `_ - `Tucker decomposition `_ +- `Non-negative CP decomposition `_ +- `Non-negative Tucker decomposition `_ 3 - Tensor regression ---------------------