diff --git a/examples/demo.py b/examples/demo.py index 6e38592..5a19eff 100644 --- a/examples/demo.py +++ b/examples/demo.py @@ -1,3 +1,5 @@ +import sys +sys.path.append('../') from numethods import * A = Matrix([[2, -1], [1, 2], [1, 1]]) diff --git a/numethods/orthogonal.py b/numethods/orthogonal.py index fc8eef9..27283df 100644 --- a/numethods/orthogonal.py +++ b/numethods/orthogonal.py @@ -89,7 +89,7 @@ class QRHouseholder: s = sum(v[i] * self.Q.data[j][k + i] for i in range(len(v))) for i in range(len(v)): self.Q.data[j][k + i] -= 2 * s * v[i] - self.Q = self.Q.transpose() +# self.Q = self.Q.transpose() class QRSolver: diff --git a/tutorials/polynomial_regression.ipynb b/tutorials/polynomial_regression.ipynb index 1d91d46..aa35887 100644 --- a/tutorials/polynomial_regression.ipynb +++ b/tutorials/polynomial_regression.ipynb @@ -123,7 +123,7 @@ "id": "28b792fe", "metadata": {}, "source": [ - "> [!IMPORTANT]\n", + "> **IMPORTANT**.\n", "> Even further, one can write those functions without the use of NumPy! This would be another extension of the library `numethods`, as polynomials are represented by just *vectors*." ] }, @@ -288,7 +288,7 @@ "id": "b9ecaec8", "metadata": {}, "source": [ - "**Polynomial Regression**\n", + "**Polynomial Regression: the Design Matrix**\n", "\n", "The design matrix for polynomial regression is not difficult to build. A quick-and-dirty one can be written as follows:" ] @@ -375,6 +375,14 @@ "X_design = design_matrix_for_poly(xx, degree)" ] }, + { + "cell_type": "markdown", + "id": "1a50a7bd", + "metadata": {}, + "source": [ + "Then, our least-squares solution from the library `numethods`:" + ] + }, { "cell_type": "code", "execution_count": 12, @@ -385,7 +393,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Least squares solution: Vector([-10.60568402037466, 34.6261698157659, -1.3656800927434747, -2.5698853517929043])\n" + "Least squares solution: Vector([-0.3219651332560268, -5.144868030256671, -3.221249753601149, 4.5650870901051475])\n" ] } ], @@ -394,12 +402,22 @@ "print(\"Least squares solution:\", w_ls)" ] }, + { + "cell_type": "markdown", + "id": "03df44e8", + "metadata": {}, + "source": [ + "> **CAUTION**.\n", + "> Seemingly, the library's functions are not working correctly! It must be checked in detail!\n", + " A quick check in `orthogonal.py`, the class `QRHouseholder` is at the end modifying the contructed matrix `Q` with `self.Q = self.Q.transpose()`, which is possibly wrong, I guess!" + ] + }, { "cell_type": "markdown", "id": "4efb0ef5", "metadata": {}, "source": [ - "In order to test if the `solve` method of the `LeastSquaresSolver` class, we use NumPy:" + "In order to see if the `solve` method of the `LeastSquaresSolver` class works as it should, we use NumPy to check by solving the *normal equation*:" ] }, { @@ -420,8 +438,6 @@ } ], "source": [ - "import numpy as np\n", - "\n", "X = np.array(X_design.data)\n", "y = np.array(yy.data)\n", "\n", @@ -429,15 +445,6 @@ "w" ] }, - { - "cell_type": "markdown", - "id": "03df44e8", - "metadata": {}, - "source": [ - "> [!CAUTION]\n", - "> Seemingly, the library's functions are not working correctly! It must be checked in detail!" - ] - }, { "cell_type": "markdown", "id": "6827dbc0", @@ -454,7 +461,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -477,17 +484,11 @@ "plt.legend()\n", "plt.show()" ] - }, - { - "cell_type": "markdown", - "id": "9da58ae2", - "metadata": {}, - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "ouWorkspace", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" },