From e668748c595d4d0965b03a9c0cb774a57b9bfa70 Mon Sep 17 00:00:00 2001 From: Neil Zhang Date: Fri, 20 Mar 2020 21:42:44 -0400 Subject: [PATCH] Finished problem 4.19 --- ... to Chapter 4 Exercises and Problems.ipynb | 670 ++++++----- lasso_ivanov_Eout_C | 49 + lasso_ivanov_all_Eouts.csv | 1000 +++++++++++++++ libs/linear_models.py | 55 +- ridge_ivanov_Eout_C | 49 + ridge_ivanov_all_Eouts.csv | 1000 +++++++++++++++ ridge_tikhonov_Eout_lambda | 1069 +++++++++++++++++ ridge_tikhonov_all_Eouts.csv | 1000 +++++++++++++++ 8 files changed, 4572 insertions(+), 320 deletions(-) create mode 100644 lasso_ivanov_Eout_C create mode 100644 lasso_ivanov_all_Eouts.csv create mode 100644 ridge_ivanov_Eout_C create mode 100644 ridge_ivanov_all_Eouts.csv create mode 100644 ridge_tikhonov_Eout_lambda create mode 100644 ridge_tikhonov_all_Eouts.csv diff --git a/Solutions to Chapter 4 Exercises and Problems.ipynb b/Solutions to Chapter 4 Exercises and Problems.ipynb index 9d2bc8c..3581edf 100644 --- a/Solutions to Chapter 4 Exercises and Problems.ipynb +++ b/Solutions to Chapter 4 Exercises and Problems.ipynb @@ -2097,7 +2097,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "#### Problem 4.19 TODO\n", + "#### Problem 4.19\n", "\n", "* (a) Let's formulate the Lasso algorithm as a quadratic program.\n", "\n", @@ -2133,54 +2133,132 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Problem 4.19\n", - "def run_one_experiment_419(Q, xs, ys, test_xs, test_ys, algo_name,reg_type, reg_param):\n", + "def run_one_experiment_419(Q, xs, ys, test_xs, test_ys, algo_name,reg_type, reg_param, solver=None):\n", " \"\"\"Generate one set of training data for a given model and compute the test error\n", " \"\"\"\n", - " lr = lm.LinearRegression(algo_name, reg_type, reg_param, poly_degree = Q)\n", + " lr = lm.LinearRegression(algo_name, reg_type, reg_param, poly_degree = Q, solver=solver)\n", " lr.fit(xs, ys)\n", " Eout = lr.calc_error(test_xs, test_ys)\n", " return Eout, lr\n", "\n", "def calc_avg_Eout_419(num_exps, Q, N, sigma_square, normalized_aqs, \n", - " test_xs, test_ys, algo_name, reg_type, reg_params):\n", + " test_xs, test_ys, algo_name, reg_type, reg_params, solver=None):\n", " \n", " all_Eouts = np.zeros((num_exps, len(reg_params)))\n", " for i in np.arange(num_exps):#For each set of data, we change the regularization parameters\n", " xs, ys = data.generate_data_set(N, normalized_aqs, sigma_square)\n", " for j, reg_param in enumerate(reg_params):\n", " Eout, lr = run_one_experiment_419(Q, xs, ys, test_xs, test_ys, \n", - " algo_name, reg_type, reg_param)\n", + " algo_name, reg_type, reg_param, solver)\n", " all_Eouts[i, j] = Eout\n", " \n", " avg_Eouts = np.zeros(len(reg_params))\n", " for j, _ in enumerate(reg_params):\n", " avg_Eouts[j] = np.mean(all_Eouts[:, j])\n", - " return avg_Eouts, all_Eouts\n" + " return avg_Eouts, all_Eouts\n", + "\n", + "def prepare_data(Qf, sigma_square, Q, N):\n", + " normalized_aqs = data.generate_target_coefficients(Qf)\n", + "\n", + " # Use for plotting\n", + " x_true = np.arange(-1, 1, 0.01).reshape(-1, 1)\n", + " # Noiseless y\n", + " y_true = data.calc_legendre_array(normalized_aqs, x_true) \n", + "\n", + " # Training data\n", + " xs, ys = data.generate_data_set(N, normalized_aqs, sigma_square)\n", + " \n", + " # Test data\n", + " test_xs, test_ys = data.generate_data_set(test_N, normalized_aqs, sigma_square)\n", + " \n", + " # Sorted for plotting\n", + " xs_sorted = xs.flatten()\n", + " ys_sorted = ys.flatten()\n", + " xs_ids = np.argsort(xs_sorted)\n", + " xs_sorted = xs_sorted[xs_ids]\n", + " ys_sorted = ys_sorted[xs_ids]\n", + " \n", + " return x_true, y_true, xs, ys, test_xs, test_ys" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Lasso: Compare with scikit-learn LinearRegression with big $C$" ] }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "C = 1 Eout: [1.57281507]\n", - "C = 10 Eout: [1.10205723]\n", - "C = 100 Eout: [2.23696045]\n", - "C = 1000 Eout: [1.60284402]\n" + "[1.33624621e-07 6.15415252e-06 1.13987953e-06 2.44560916e-06\n", + " 2.58522872e-06 2.12605433e-06 2.39707024e-06 2.42647636e-06\n", + " 1.98811250e-06 2.76511140e-06 1.69386595e-06 3.06777513e-06\n", + " 1.48181070e-06 3.34693263e-06 1.31943478e-06 3.62647852e-06]\n" + ] + } + ], + "source": [ + "Qf = 15 #target function\n", + "sigma_square = 0.5\n", + "test_N = 100 #number of test samples\n", + "Q = 15 # Hypothesis set\n", + "N = 30 # Training set size\n", + "\n", + "#Fix training data\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", + "\n", + "algo_name = 'lasso'\n", + "reg_type = 'Ivanov'\n", + "\n", + "C = 1e+16 # Huge C means no regularization\n", + "lambda_t = 0 # No regularization \n", + "X = data.polynomial_transform(Q, xs)\n", + "w_sklearn_lasso = lm.sklearn_linear_regression(X, ys)\n", + "w_lasso = lm.lasso_fit_ivanov(X, ys, C)\n", + "relative_diff = np.abs((w_sklearn_lasso.flatten()-w_lasso.flatten())/w_sklearn_lasso.flatten())\n", + "print(relative_diff)\n", + "assert(np.allclose(relative_diff, np.zeros(len(relative_diff)), rtol = 1.0e-5, atol=1.0e-5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Lasso: Out-of-Sample error vs. regularization parameter C\n", + "\n", + "Expect the out-of-sample error to increase with increasing $C$, as larger $C$ indicates less regularization, thus larger generalization error." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "C = 1 Eout: [0.92886592]\n", + "C = 100 Eout: [0.58907259]\n", + "C = 10000 Eout: [0.91605687]\n", + "C = 1000000 Eout: [53.02694773]\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -2195,33 +2273,22 @@ "Qf = 15 #target function\n", "sigma_square = 0.5\n", "test_N = 100 #number of test samples\n", - "normalized_aqs = data.generate_target_coefficients(Qf)\n", - "test_xs, test_ys = data.generate_data_set(test_N, normalized_aqs, sigma_square)\n", - "x_true = np.arange(-1, 1, 0.01).reshape(-1, 1)\n", - "y_true = data.calc_legendre_array(normalized_aqs, x_true)\n", - "\n", - "algo_name = 'lasso'\n", - "reg_type = 'Ivanov'\n", - "\n", - "Q = 15\n", - "N = 30\n", - "Cs = [1, 10, 100, 1000]\n", + "Q = 15 # Hypothesis set\n", + "N = 30 # Training set size\n", "\n", "#Fix training data\n", - "xs, ys = data.generate_data_set(N, normalized_aqs, sigma_square)\n", - "xs_sorted = xs.flatten()\n", - "ys_sorted = ys.flatten()\n", - "xs_ids = np.argsort(xs_sorted)\n", - "xs_sorted = xs_sorted[xs_ids]\n", - "ys_sorted = ys_sorted[xs_ids]\n", - "\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", "f, axarr = plt.subplots(2, 2, figsize=(12, 10))\n", "\n", + "algo_name = 'lasso'\n", + "reg_type = 'Ivanov'\n", + "solver= None\n", + "Cs = [1, 100, 10000, 1000000]\n", "for idx, C in enumerate(Cs):\n", " i = int(idx / 2)\n", " j = int(idx - i*2)\n", " #print(idx, i, j)\n", - " lr = lm.LinearRegression(algo_name, reg_type, reg_param = C, poly_degree = Q)\n", + " lr = lm.LinearRegression(algo_name, reg_type, reg_param = C, poly_degree = Q, solver=solver)\n", " lr.fit(xs, ys)\n", " Eout = lr.calc_error(test_xs, test_ys)\n", " print('C = ', C, 'Eout: ', Eout)\n", @@ -2238,9 +2305,16 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Lasso vs. Ridge Ivanov Regularization: Expected out-of-sample errors versus regularization parameter $C$" + ] + }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -2252,31 +2326,70 @@ "normalized_aqs = data.generate_target_coefficients(Qf)\n", "test_xs, test_ys = data.generate_data_set(test_N, normalized_aqs, sigma_square)\n", "\n", - "max_C1, max_C2, max_C3 = 10, 500, 5000\n", - "Cs1 = np.arange(0, max_C1+1, 1)\n", - "Cs2 = np.arange(0, max_C2+1, 10)\n", - "Cs3 = np.arange(0, max_C3+1, 500)\n", - "Cs = np.unique(np.concatenate([Cs1[1:], Cs2[1:], Cs3[1:]]))\n", + "Q = 15\n", + "N = 30\n", + "num_exps = 1000\n", + "\n", + "max_C1, max_C2, max_C3 = 1, 10, 20\n", + "Cs1 = np.arange(0, max_C1+1, 0.05)\n", + "Cs2 = np.arange(0, max_C2+1, 1)\n", + "#Cs3 = np.arange(0, max_C3+1, 100)\n", + "Cs = np.unique(np.concatenate([Cs1[1:], Cs2[1:]]))#, Cs3[1:]]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### N.B. When C is too large, some randome set of data will generate huge E_{out} for the test data set.\n", + "In the order of 10^9. This defeats the purpose of comparing E_{out} vs. C with Ridge.\n", + "so we limited the range of C here to be less than 10" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ "algo_name = 'lasso'\n", "reg_type = 'Ivanov'\n", "\n", - "Q = 15\n", - "N = 30\n", + "lasso_avg_Eouts, lasso_all_Eouts = calc_avg_Eout_419(num_exps, Q, N, sigma_square, normalized_aqs, \n", + " test_xs, test_ys, algo_name, reg_type, Cs)\n", "\n", - "#Cs = Cs[:1]\n", - "num_exps = 1000\n", - "avg_Eouts, all_Eouts = calc_avg_Eout_419(num_exps, Q, N, sigma_square, normalized_aqs, \n", - " test_xs, test_ys, algo_name, reg_type, Cs)" + "df = pd.DataFrame({'lambda':Cs, 'avg_Eout':lasso_avg_Eouts})\n", + "df.to_csv('./lasso_ivanov_Eout_C', index=False)\n", + "np.savetxt(\"lasso_ivanov_all_Eouts.csv\", lasso_all_Eouts, delimiter=\",\", fmt='%12.8f') " ] }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 25, "metadata": {}, + "outputs": [], + "source": [ + "algo_name = 'ridge'\n", + "reg_type = 'Ivanov'\n", + "\n", + "ridge_avg_Eouts, ridge_all_Eouts = calc_avg_Eout_419(num_exps, Q, N, sigma_square, normalized_aqs, \n", + " test_xs, test_ys, algo_name, reg_type, Cs)\n", + "\n", + "df = pd.DataFrame({'lambda':Cs, 'avg_Eout':ridge_avg_Eouts})\n", + "df.to_csv('./ridge_ivanov_Eout_C', index=False)\n", + "np.savetxt(\"ridge_ivanov_all_Eouts.csv\", ridge_all_Eouts, delimiter=\",\", fmt='%12.8f') " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "scrolled": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -2288,130 +2401,79 @@ } ], "source": [ - "plt.plot(Cs, avg_Eouts, label='Average E_out')\n", + "plt.plot(Cs, lasso_avg_Eouts, label='lasso: Average E_out')\n", + "plt.plot(Cs, ridge_avg_Eouts, label='ridge: Average E_out')\n", "plt.legend()\n", - "plt.title(\"Lasso Ivanov: Average E_out vs. regularization parameter C\")\n", - "plt.ylim(0, 10)\n", + "plt.title(\"Lasso vs Ridge with Ivanov Regularization: Average E_out vs. C\")\n", + "#plt.ylim(0, 10)\n", "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Problem 4.19 (a)\n", + "\n", + "From the graph above, we see that the expected out-of-sample errors are larger from lasso most of the time. Except at the very small $C$ values, both errors increase with the increasing $C$, which is expected, as larger $C$ indicates smaller regularization. If $C$ is too small, training data gives worse fit, so the out-of-sample errors increase instead. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Problem 4.19 Ridge Regression\n", + "##### Validation with scikit-learn Ridge Regression" + ] + }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 26, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 0.1052754 ]\n", - " [-0.46129409]\n", - " [ 1.07857145]\n", - " [-0.31244084]\n", - " [-0.63538372]\n", - " [ 0.1037703 ]\n", - " [-0.53452408]\n", - " [ 0.3376482 ]\n", - " [-0.16548734]\n", - " [ 0.51235139]\n", - " [ 0.10285117]\n", - " [ 0.67437082]\n", - " [ 0.25821051]\n", - " [ 0.82354611]\n", - " [ 0.33988382]\n", - " [ 0.95069858]] [[ 0.1052754 ]\n", - " [-0.46129409]\n", - " [ 1.07857145]\n", - " [-0.31244084]\n", - " [-0.63538372]\n", - " [ 0.1037703 ]\n", - " [-0.53452408]\n", - " [ 0.3376482 ]\n", - " [-0.16548734]\n", - " [ 0.51235139]\n", - " [ 0.10285117]\n", - " [ 0.67437082]\n", - " [ 0.25821051]\n", - " [ 0.82354611]\n", - " [ 0.33988382]\n", - " [ 0.95069858]]\n" - ] - } - ], + "outputs": [], "source": [ "Qf = 15 #target function\n", "sigma_square = 0.5\n", "test_N = 100 #number of test samples\n", "Q = 15\n", "N = 30\n", - "lambda_t = 0.1\n", - "\n", - "normalized_aqs = data.generate_target_coefficients(Qf)\n", - "test_xs, test_ys = data.generate_data_set(test_N, normalized_aqs, sigma_square)\n", - "x_true = np.arange(-1, 1, 0.01).reshape(-1, 1)\n", - "y_true = data.calc_legendre_array(normalized_aqs, x_true)\n", "\n", - "xs, ys = data.generate_data_set(N, normalized_aqs, sigma_square)\n", - "xs_sorted = xs.flatten()\n", - "ys_sorted = ys.flatten()\n", - "xs_ids = np.argsort(xs_sorted)\n", - "xs_sorted = xs_sorted[xs_ids]\n", - "ys_sorted = ys_sorted[xs_ids]\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", "\n", "X = data.polynomial_transform(Q, xs)\n", + "lambda_t = 0.1\n", "w_sklearn_ridge = lm.sklearn_ridge(X, ys, lambda_t, False, 'cholesky')\n", "w_ridge = lm.ridge_fit_tikhonov(X, ys, lambda_t)\n", - "print(w_sklearn_ridge, w_ridge)\n", - "\n", - "#plt.plot(xs_sorted, ys_sorted, '.', label='train data')\n", - "#plt.plot(x_true, sk_pred, label='sklearn')\n", - "#plt.plot(x_true, y_pred, label='ridge predict')\n", - "#plt.show()" + "assert(np.allclose(w_sklearn_ridge.flatten(), w_ridge.flatten(), rtol = 1.0e-12, atol=1.0e-12))" ] }, { - "cell_type": "code", - "execution_count": 10, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[ True, True],\n", - " [ True, True]])" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "a = np.array([[3,1], [1,2]])\n", - "b = np.array([9,8])\n", - "x = np.linalg.solve(a, b)\n", - "x, np.matmul(np.linalg.inv(a),b)\n", - "a.transpose()==np.transpose(a)" + "#### Ridge: Out-of-sample error versus regularization parameter $\\lambda$\n", + "\n", + "Check the general trend of out-of-sample error with $\\lambda$. It should decrease with increasing $\\lambda$. " ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "lambda = 0.0 Eout: [712.25410032]\n", - "lambda = 0.00030000000000000003 Eout: [0.85570057]\n", - "lambda = 0.03 Eout: [0.90104294]\n", - "lambda = 3.0 Eout: [0.93506579]\n" + "lambda = 0.001 Eout: [2.22575402]\n", + "lambda = 0.01 Eout: [2.25472121]\n", + "lambda = 0.1 Eout: [1.67967964]\n", + "lambda = 1 Eout: [1.3233053]\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -2423,39 +2485,23 @@ } ], "source": [ - "# Ridge Regression\n", + "# Ridge Regression: Expected out-of-sample error vs. lambda\n", "Qf = 15 #target function\n", "sigma_square = 0.5\n", "test_N = 100 #number of test samples\n", - "normalized_aqs = data.generate_target_coefficients(Qf)\n", - "test_xs, test_ys = data.generate_data_set(test_N, normalized_aqs, sigma_square)\n", - "x_true = np.arange(-1, 1, 0.01).reshape(-1, 1)\n", - "y_true = data.calc_legendre_array(normalized_aqs, x_true)\n", - "\n", - "algo_name = 'ridge'\n", - "reg_type = 'Tikhonov'\n", - "\n", - "Q = 15\n", - "N = 30\n", - "alphas = [0.0, 1.0e-5, 1.0e-3, 0.1]\n", - "lambdas = np.array(alphas) * N\n", - "if algo_name == 'sklearn_ridge':\n", - " lambdas = alphas\n", + "Q = 15 #hypothesis model\n", + "N = 30 # training set size\n", " \n", "#Fix training data\n", - "xs, ys = data.generate_data_set(N, normalized_aqs, sigma_square)\n", - "xs_sorted = xs.flatten()\n", - "ys_sorted = ys.flatten()\n", - "xs_ids = np.argsort(xs_sorted)\n", - "xs_sorted = xs_sorted[xs_ids]\n", - "ys_sorted = ys_sorted[xs_ids]\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", "\n", + "algo_name = 'ridge'\n", + "reg_type = 'Tikhonov'\n", + "lambdas = [0.001, 0.01, 0.1, 1]\n", "f, axarr = plt.subplots(2, 2, figsize=(12, 10))\n", - "\n", "for idx, lambda_t in enumerate(lambdas):\n", " i = int(idx / 2)\n", " j = int(idx - i*2)\n", - " #print(idx, i, j)\n", " lambda_t = lambda_t\n", " lr = lm.LinearRegression(algo_name, reg_type, reg_param = lambda_t, poly_degree = Q)\n", " lr.fit(xs, ys)\n", @@ -2475,56 +2521,48 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Ridge: Expected out-of-sample errors versus the change of regularization parameter $\\lambda$" + ] + }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 16, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Ridge with Tikhonov regularization\n", - "max_lambda1, max_lambda2, max_lambda3 = 0.1,2,10\n", - "lambdas1 = np.arange(0, max_lambda1+1, 0.02)\n", - "lambdas2 = np.arange(0, max_lambda2+1, 0.2)\n", - "lambdas3 = np.arange(0, max_lambda3+1, 1)\n", + "max_lambda1, max_lambda2, max_lambda3 = 0.01,0.1,10\n", + "lambdas1 = np.arange(0, max_lambda1+1, 0.001)\n", + "lambdas2 = np.arange(0, max_lambda2+1, 0.01)\n", + "lambdas3 = np.arange(0, max_lambda3+1, 0.2)\n", "lambdas = np.unique(np.concatenate([lambdas1[1:], lambdas2[1:], lambdas3[1:]]))\n", + "\n", "algo_name = 'ridge'\n", "reg_type = 'Tikhonov'\n", - "\n", "Q = 15\n", "N = 30\n", "\n", - "#Cs = Cs[:1]\n", "num_exps = 1000\n", "avg_Eouts, all_Eouts = calc_avg_Eout_419(num_exps, Q, N, sigma_square, normalized_aqs, \n", - " test_xs, test_ys, algo_name, reg_type, lambdas)\n", + " test_xs, test_ys, algo_name, reg_type, lambdas)\n", "\n", - "plt.plot(lambdas[:10], avg_Eouts[:10], label='Average E_out')\n", - "plt.legend()\n", - "plt.title(\"Ridge Tikhonov: Average E_out vs. regularization parameter lambda\")\n", - "plt.show()" + "df = pd.DataFrame({'lambda':lambdas, 'avg_Eout':avg_Eouts})\n", + "df.to_csv('./ridge_tikhonov_Eout_lambda', index=False)\n", + "np.savetxt(\"ridge_tikhonov_all_Eouts.csv\", all_Eouts, delimiter=\",\", fmt='%12.8f') " ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -2536,163 +2574,187 @@ } ], "source": [ - "plt.plot(lambdas[:10], avg_Eouts[:10], label='Average E_out')\n", + "stop_idx = 1025\n", + "plt.plot(lambdas[:stop_idx], avg_Eouts[:stop_idx], label='Average E_out')\n", "plt.legend()\n", - "plt.title(\"Ridge Tikhonov: Average E_out vs. regularization parameter lambda\")\n", + "plt.title(\"Ridge Tikhonov: Average E_out vs. lambda\")\n", + "plt.ylim(1.2, 2.0)\n", "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Ridge Ivanov regularization vs. scikit-learn Ridge" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " pcost dcost gap pres dres\n", - " 0: 0.0000e+00 -1.1600e+02 5e+00 1e+00 1e+00\n", - " 1: 6.1065e-03 -3.3082e+01 4e+00 1e+00 1e+00\n", - " 2: 6.5359e-02 -1.4256e+01 3e+00 9e-01 9e-01\n", - " 3: 5.3042e-01 -2.6239e-01 2e+00 6e-01 3e+00\n", - " 4: 7.4844e-01 2.1865e+00 2e+00 5e-01 2e+00\n", - " 5: 1.0549e+00 2.2067e+00 1e+00 3e-01 2e+00\n", - " 6: 1.1689e+00 2.8764e+00 1e+00 3e-01 2e+00\n", - " 7: 1.2941e+00 1.4910e+00 9e-01 1e-01 1e+00\n", - " 8: 1.2554e+00 1.3869e+00 5e-01 6e-02 6e-01\n", - " 9: 1.3852e+00 1.5195e+00 4e-01 5e-02 5e-01\n", - "10: 1.2646e+00 1.3579e+00 2e-01 1e-02 3e-01\n", - "11: 1.2123e+00 1.2876e+00 3e-02 1e-03 8e-02\n", - "12: 1.2660e+00 1.2835e+00 1e-02 4e-04 2e-02\n", - "13: 1.2906e+00 1.2895e+00 2e-03 1e-05 6e-04\n", - "14: 1.2906e+00 1.2905e+00 2e-04 9e-07 5e-05\n", - "15: 1.2906e+00 1.2906e+00 5e-05 2e-07 1e-05\n", - "16: 1.2906e+00 1.2906e+00 2e-05 3e-08 1e-06\n", - "17: 1.2906e+00 1.2906e+00 5e-06 7e-09 4e-07\n", - "18: 1.2906e+00 1.2906e+00 4e-06 4e-09 2e-07\n", - "19: 1.2906e+00 1.2906e+00 1e-06 1e-09 6e-08\n", - "20: 1.2906e+00 1.2906e+00 1e-06 8e-10 4e-08\n", - "Optimal solution found.\n" + "[2.41508527e-07 7.78314827e-07 7.93856740e-07 8.70244579e-07\n", + " 6.70303323e-07 1.04070218e-06 5.31795165e-07 1.17941685e-06\n", + " 4.56799707e-07 1.29426398e-06 4.16114736e-07 1.40503021e-06\n", + " 3.92486871e-07 1.52480311e-06 3.77694769e-07 1.66109489e-06]\n" ] - }, - { - "data": { - "text/plain": [ - "array([[ 0.41132242],\n", - " [ 0.55884717],\n", - " [-0.72007173]])" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ - "from cvxopt import matrix, log, div, spdiag, solvers\n", + "Qf = 15 #target function\n", + "sigma_square = 0.5\n", + "test_N = 100 #number of test samples\n", + "Q = 15\n", + "N = 30\n", "\n", - "def F(x = None, z = None):\n", - " if x is None: return 0, matrix(0.0, (3,1))\n", - " if max(abs(x)) >= 1.0: return None\n", - " u = 1 - x**2\n", - " val = -sum(log(u))\n", - " Df = div(2*x, u).T\n", - " if z is None: return val, Df\n", - " H = spdiag(2 * z[0] * div(1 + x**2, u**2))\n", - " return val, Df, H\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", "\n", - "G = matrix([ [0., -1., 0., 0., -21., -11., 0., -11., 10., 8., 0., 8., 5.],\n", - " [0., 0., -1., 0., 0., 10., 16., 10., -10., -10., 16., -10., 3.],\n", - " [0., 0., 0., -1., -5., 2., -17., 2., -6., 8., -17., -7., 6.] ])\n", - "h = matrix([1.0, 0.0, 0.0, 0.0, 20., 10., 40., 10., 80., 10., 40., 10., 15.])\n", - "dims = {'l': 0, 'q': [4], 's': [3]}\n", - "sol = solvers.cp(F, G, h, dims)\n", - "#print(sol['x'])\n", - "s = sol['x']\n", - "np.array(s)" + "X = data.polynomial_transform(Q, xs)\n", + "lambda_t = 0\n", + "w_sklearn_ridge = lm.sklearn_ridge(X, ys, lambda_t, False, 'cholesky')\n", + "C = 1e+16\n", + "#print(w_sklearn_ridge)\n", + "w_ridge_ivanov = lm.ridge_fit_ivanov(X, ys, C)\n", + "#print(w_ridge_ivanov)\n", + "relative_diff = np.abs((w_sklearn_ridge.flatten()-w_ridge_ivanov.flatten())/w_sklearn_ridge.flatten())\n", + "print(relative_diff)\n", + "assert(np.allclose(relative_diff, np.zeros(len(relative_diff)), rtol = 1.0e-5, atol=1.0e-5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Ridge Regression with Ivanov regularization" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 8, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "C = 1 Eout: [0.73860002]\n", + "C = 100 Eout: [1.31425145]\n", + "C = 10000 Eout: [11.89738451]\n", + "C = 100000 Eout: [38.84795292]\n" + ] + }, { "data": { - "text/html": [ - "
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\n", "text/plain": [ - " id val sort\n", - "0 a 1 0\n", - "1 a 2 1\n", - "2 a 3 2" + "
" ] }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "df = pd.DataFrame({'name':'abcde', 'val':[1,2,3,4,5], 'id':['a','a','a', 'b', 'b']})\n", - "s_df = df[['id', 'val']]\n", - "mdf = s_df.loc[s_df['id']=='a'].copy()\n", - "mdf['sort'] = np.arange(len(mdf))\n", - "mdf" + "# Ridge Regression: Expected out-of-sample error vs. lambda\n", + "Qf = 15 #target function\n", + "sigma_square = 0.5\n", + "test_N = 100 #number of test samples\n", + "Q = 15 #hypothesis model\n", + "N = 30 # training set size\n", + " \n", + "#Fix training data\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", + "\n", + "algo_name = 'ridge'\n", + "reg_type = 'Ivanov'\n", + "Cs = [1, 100, 10000, 100000]\n", + "f, axarr = plt.subplots(2, 2, figsize=(12, 10))\n", + "for idx, C in enumerate(Cs):\n", + " i = int(idx / 2)\n", + " j = int(idx - i*2)\n", + " lr = lm.LinearRegression(algo_name, reg_type, reg_param = C, poly_degree = Q)\n", + " lr.fit(xs, ys)\n", + " Eout = lr.calc_error(test_xs, test_ys)\n", + " print('C = ', C, 'Eout: ', Eout)\n", + " ytrain_pred = lr.predict(x_true)\n", + "\n", + " axarr[i,j].plot(xs, ys, '.', label='Training Data')\n", + " axarr[i,j].plot(x_true, ytrain_pred, label='Prediction')\n", + " axarr[i,j].plot(x_true, y_true, label='True Target')\n", + " axarr[i,j].set_ylim(-5,5)\n", + " axarr[i,j].legend()\n", + " axarr[i,j].set_title(\"C = \"+str(C))\n", + " \n", + "# Fine-tune figure; make subplots farther from each other. \n", + "f.subplots_adjust(hspace=0.5)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Problem 4.19 (b) \n", + " \n", + " The augmented error is $E_{aug} = \\frac{1}{N}\\|Xw-y\\|^2 + \\lambda_C w^Tw$, where $\\lambda_C$ depends on the value of $C$. This is more convenient to optimize than the Ivanov regularization because it's an optimization problem without any constraint. \n", + " \n", + "#### Problem 4.19 (c) \n", + "\n", + "Let $d=5$, and $N=3$ see below comparision of the weights between lasso and ridge (quadratic penalty). From the picture below, we see that in the lasso algorithm there are 4 out of 6 $w$ that are close to zero, while for ridge, none of them are close to zero." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "------ Lasso ------\n", + "[[-2.91276038e-01]\n", + " [ 7.08723907e-01]\n", + " [ 2.63687406e-09]\n", + " [ 3.43743114e-09]\n", + " [ 1.82215649e-09]\n", + " [ 1.35377456e-09]]\n", + "------ Ridge ------\n", + "[[-0.47689469]\n", + " [ 0.80239241]\n", + " [ 0.21666993]\n", + " [ 0.23556808]\n", + " [ 0.1313591 ]\n", + " [ 0.09510258]]\n" + ] + } + ], + "source": [ + "Qf = 15 #target function\n", + "sigma_square = 0.5\n", + "test_N = 100 #number of test samples\n", + "Q = 5 # Hypothesis set\n", + "N = 3 # Training set size\n", + "C = 1 \n", + "\n", + "#Fix training data\n", + "x_true, y_true, xs, ys, test_xs, test_ys = prepare_data(Qf, sigma_square, Q, N)\n", + "\n", + "X = data.polynomial_transform(Q, xs)\n", + "w_lasso = lm.lasso_fit_ivanov(X, ys, C)\n", + "w_ridge_ivanov = lm.ridge_fit_ivanov(X, ys, C)\n", + "print('------ Lasso ------')\n", + "print(w_lasso)\n", + "print('------ Ridge ------')\n", + "print(w_ridge_ivanov)" + ] }, { "cell_type": "markdown", diff --git a/lasso_ivanov_Eout_C b/lasso_ivanov_Eout_C new file mode 100644 index 0000000..8e36e30 --- /dev/null +++ b/lasso_ivanov_Eout_C @@ -0,0 +1,49 @@ +lambda,avg_Eout +0.05,1.5317447791513013 +0.1,1.486408724276711 +0.15000000000000002,1.446374016007614 +0.2,1.4115095219528349 +0.25,1.3821323367931286 +0.30000000000000004,1.3585651232091227 +0.35000000000000003,1.3404351980006861 +0.4,1.3271059562582548 +0.45,1.3179146179715362 +0.5,1.3119976027393687 +0.55,1.3083836886052724 +0.6000000000000001,1.3059630877070922 +0.65,1.304177736211483 +0.7000000000000001,1.3026141807221838 +0.75,1.3008054063502135 +0.8,1.2987178133042698 +0.8500000000000001,1.2964309796844096 +0.9,1.294025006161774 +0.9500000000000001,1.2914677523961886 +1.0,1.288919568723812 +1.05,1.2863939233577153 +1.1,1.2838502176307174 +1.1500000000000001,1.2812941241917122 +1.2000000000000002,1.2787730249757496 +1.25,1.2763994450529057 +1.3,1.2741843443284109 +1.35,1.27186560029138 +1.4000000000000001,1.2695627379752767 +1.4500000000000002,1.2671351953414647 +1.5,1.264848152696345 +1.55,1.2623863771343193 +1.6,1.2598923192067706 +1.6500000000000001,1.2574752880237927 +1.7000000000000002,1.25509254674278 +1.75,1.2528959362757186 +1.8,1.2508394179921443 +1.85,1.248496660137221 +1.9000000000000001,1.246453247519282 +1.9500000000000002,1.244442083210317 +2.0,1.2424770668207166 +3.0,1.208241890741746 +4.0,1.1874877016930259 +5.0,1.1723934413667902 +6.0,1.1656608547398541 +7.0,1.1665532057491588 +8.0,1.1728224695893217 +9.0,1.1837406890939943 +10.0,1.2013004446398399 diff --git a/lasso_ivanov_all_Eouts.csv b/lasso_ivanov_all_Eouts.csv new file mode 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1.33617864, 1.34337460, 1.33880062, 1.33489528, 1.33165872, 1.32908914, 1.32719158, 1.32594096, 1.32026132, 1.31307883, 1.30620669, 1.29964519, 1.29339441, 1.28745445, 1.28182505, 1.27650633, 1.27149829, 1.26680091, 1.26241404, 1.25648446, 1.24832404, 1.24041503, 1.23274841, 1.22658885, 1.22320481, 1.22010116, 1.15954421, 1.12059068, 1.10954675, 1.08647102, 1.05692417, 1.04762302, 1.05534328, 1.06976457 diff --git a/libs/linear_models.py b/libs/linear_models.py index 85b4b66..d8a5063 100644 --- a/libs/linear_models.py +++ b/libs/linear_models.py @@ -14,7 +14,7 @@ import matplotlib.pyplot as plt from scipy.optimize import minimize from sklearn.preprocessing import normalize -from sklearn.linear_model import Ridge +from sklearn.linear_model import Ridge, Lasso import data_util as du @@ -149,25 +149,29 @@ def calc_error(self, X, y): class LinearRegression(LinearRegressionBase): def __init__(self, algo_name, reg_type, reg_param, - poly_degree = None): + poly_degree = None, solver=None): super().__init__(algo_name) self.reg_type = reg_type self.reg_param = reg_param self.poly_degree = poly_degree #If apply polynomial transformation first + self.solver = solver def fit(self, X, y): Z = X if self.poly_degree: - Z = du.polynomial_transform(self.poly_degree, X) + Z = du.polynomial_transform(self.poly_degree, X) + if self.algo_name == 'lasso': - self.w = lasso_fit(Z, y, self.reg_param, self.reg_type) + self.w = lasso_fit(Z, y, self.reg_param, self.reg_type, self.solver) elif self.algo_name == 'ridge': self.w = ridge_fit(Z, y, self.reg_param, self.reg_type) elif self.algo_name == 'sklearn_lasso': - pass + self.w = sklearn_lasso(Z, y, self.reg_param) elif self.algo_name == 'sklearn_ridge': self.w = sklearn_ridge(Z, y, self.reg_param) + elif self.algo_name == 'sklearn_lr': + self.w = sklearn_linear_regression(Z, y) else: raise ValueError("Not implemented") @@ -193,11 +197,25 @@ def sklearn_ridge(X, y, lambda_t, fit_intercept = False, solver='auto'): clf.fit(X, y) return clf.coef_.reshape(-1, 1) +def sklearn_lasso(X, y, lambda_t, fit_intercept = False): + #If added 1 into features, set fit_intercept = False + #else, if you want to fit the intercept, set it to True + # This minimizes: \frac{1}{2N}|Xw-y|^2_2 + \lambda|w|_1 + clf = Lasso(alpha=lambda_t, fit_intercept = fit_intercept) + clf.fit(X, y) + return clf.coef_.reshape(-1, 1) + +def sklearn_linear_regression(X, y, fit_intercept = False): + clf = sklearn.linear_model.LinearRegression(fit_intercept) + clf.fit(X, y) + return clf.coef_.reshape(-1, 1) + def lasso_fit_tikhonov(X, y, reg_param): raise ValueError("Not implemented") -def lasso_fit_ivanov(X, y, reg_param): +def lasso_fit_ivanov(X, y, reg_param, solver=None): # Apply quadratic programming to solve this + # solver is None or 'mosek' N = len(y) #number of samples d = X.shape[1] num_vars = 2*d @@ -237,9 +255,9 @@ def lasso_fit_ivanov(X, y, reg_param): q = cvxopt.matrix(q) G = cvxopt.matrix(G) h = cvxopt.matrix(h) - res = cvxopt.solvers.qp(P, q, G, h, options={'show_progress':False}) + res = cvxopt.solvers.qp(P, q, G, h, solver = solver, options={'show_progress':False}) if res['status'] != 'optimal': - print("Couldn't find optimal solution") + print("Couldn't find optimal solution with reg_param: ", reg_param) print('Final status: ', res['status']) w = res['x'] #print('w: ', type(w), w) @@ -278,9 +296,9 @@ def calc_sum_of_squares(X, y, w): def calc_ss_with_constraints(X, y, w, C): # Compute the sum of squares and quadratic constraint - ss = calc_sum_of_squares(X, y, w) + ss = calc_sum_of_squares(X, y, w).flatten() constraint = np.matmul(w.transpose(), w) - C - res = np.array([ss, constraint]).reshape(2, 1) #2x1 + res = np.array([ss, constraint.flatten()]).reshape(2, 1) #2x1 return res def calc_derivative_ss(X, y, w): @@ -294,18 +312,22 @@ def calc_derivative_ss(X, y, w): def calc_derivative_ss_with_constraints(X, y, w): dss = calc_derivative_ss(X, y, w) #(num_features +1)x1 d_constraint = 2*w # (num_features + 1)x1 - res = np.array([dss, d_constraint]).reshape(2, -1) # 2x(num_features +1) + dss = dss.transpose() + d_constraint = d_constraint.transpose() + res = np.vstack([dss, d_constraint]) # 2x(num_features +1) return res def calc_2nd_deriv_ss(X): N = X.shape[0] - XTX = np.matmul(X.transpose(), X) + # row#1: df1/dx1, df1/dx2, df1/dx3, ... + # row#2: df2/dx1, df2/dx2, df2/dx3, ... + XTX = np.matmul(X.transpose(), X).transpose() res = 2*XTX/N #(num_features+1) x (num_features+1) return res def calc_2nd_deriv_ss_with_constraints(X, z): deriv2_ss = z[0]*calc_2nd_deriv_ss(X) - deriv2_constraint = z[1] * 2 + deriv2_constraint = z[1] * 2 * np.identity(X.shape[1]) res = deriv2_ss + deriv2_constraint return res @@ -318,6 +340,7 @@ def F(w = None, z = None): if w is None: w0 = np.zeros((num_features, 1)) #any feasible point return 1, cvxopt.matrix(w0) + w = np.array(w).reshape(num_features, 1) f = calc_ss_with_constraints(X, y, w, reg_param) Df = calc_derivative_ss_with_constraints(X, y, w) f, Df = cvxopt.matrix(f), cvxopt.matrix(Df) @@ -328,18 +351,18 @@ def F(w = None, z = None): return f, Df, H res = cvxopt.solvers.cp(F, options={'show_progress':False}) if res['status'] != 'optimal': - print("Couldn't find optimal solution") + print("Couldn't find optimal solution with reg_param: ", reg_param) print('Final status: ', res['status']) w = res['x'] w = np.array(w) return w -def lasso_fit(X, y, reg_param, reg_type): +def lasso_fit(X, y, reg_param, reg_type, solver): w = None if reg_type == 'Tikhonov': w = lasso_fit_tikhonov(X, y, reg_param) elif reg_type == 'Ivanov': - w = lasso_fit_ivanov(X, y, reg_param) + w = lasso_fit_ivanov(X, y, reg_param, solver) else: raise ValueError("Not implemented") return w diff --git a/ridge_ivanov_Eout_C b/ridge_ivanov_Eout_C new file mode 100644 index 0000000..424ca14 --- /dev/null +++ b/ridge_ivanov_Eout_C @@ -0,0 +1,49 @@ +lambda,avg_Eout +0.05,1.3399893220247276 +0.1,1.2759927226510948 +0.15000000000000002,1.23950929949807 +0.2,1.2160508872282343 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