From b3a32ca3007272b2a47a632a5c829f43171d79d3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= Date: Sat, 23 Apr 2022 11:21:31 +0200 Subject: [PATCH] =?UTF-8?q?Poprawki=20do=20wyk=C5=82ad=C3=B3w?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- wyk/1_Wprowadzenie.ipynb | 13 - wyk/2_Regresja_liniowa.ipynb | 3708 ++++++++--------- wyk/2a_Regresja_logistyczna.ipynb | 2 +- ...waluacja_regularyzacja_optymalizacja.ipynb | 83 +- wyk/3a_Uczenie_nienadzorowane.ipynb | 54 +- ...rzegląd_metod_uczenia_nadzorowanego.ipynb | 8 +- 6 files changed, 1937 insertions(+), 1931 deletions(-) diff --git a/wyk/1_Wprowadzenie.ipynb b/wyk/1_Wprowadzenie.ipynb index 7524151..41bc302 100644 --- a/wyk/1_Wprowadzenie.ipynb +++ b/wyk/1_Wprowadzenie.ipynb @@ -352,19 +352,6 @@ "* modelowanie danych zastępuje pisanie programu" ] }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "subslide" - } - }, - "source": [ - "\n", - "\n", - "Źródło: https://recast.ai/blog/machine-learning-algorithms/" - ] - }, { "cell_type": "code", "execution_count": 4, diff --git a/wyk/2_Regresja_liniowa.ipynb b/wyk/2_Regresja_liniowa.ipynb index dc7a2ab..832140f 100644 --- a/wyk/2_Regresja_liniowa.ipynb +++ b/wyk/2_Regresja_liniowa.ipynb @@ -40,7 +40,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": { "slideshow": { "slide_type": "notes" @@ -72,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" @@ -284,7 +284,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 4, "metadata": { "slideshow": { "slide_type": "notes" @@ -330,7 +330,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" @@ -380,89 +380,89 @@ "C -3.535534 0.937635 -3.163008 1.836992 -2.5 2.5 \r\n", "C -1.836992 3.163008 -0.937635 3.535534 0 3.535534 \r\n", "z\r\n", - "\" id=\"mdc76d1146b\" style=\"stroke:#ff0000;\"/>\r\n", + "\" id=\"m52924c2599\" style=\"stroke:#ff0000;\"/>\r\n", " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -471,10 +471,10 @@ " \r\n", " \r\n", + "\" id=\"mb91a689d8f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -542,7 +542,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -568,7 +568,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -599,7 +599,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -641,7 +641,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -657,7 +657,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -673,7 +673,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -689,7 +689,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1120,10 +1120,10 @@ " \r\n", " \r\n", + "\" id=\"m02637a6085\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1136,7 +1136,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1149,7 +1149,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1163,7 +1163,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1177,7 +1177,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1191,7 +1191,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1411,7 +1411,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1447,7 +1447,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -1470,7 +1470,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "notes" @@ -1486,7 +1486,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "notes" @@ -1507,7 +1507,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" @@ -1517,7 +1517,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "24251add6555459e8095136e4cedf484", + "model_id": "6106d641363844f2a64da3e1f5ef9f44", "version_major": 2, "version_minor": 0 }, @@ -1534,7 +1534,7 @@ "" ] }, - "execution_count": 78, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -1663,7 +1663,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "fragment" @@ -1679,7 +1679,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "skip" @@ -1725,7 +1725,7 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" @@ -1735,7 +1735,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "0ea2880fb86c4bb88ec1495c8bc76d75", + "model_id": "1f7c70bc7c2d42aa92fadfe84362ba57", "version_major": 2, "version_minor": 0 }, @@ -1752,7 +1752,7 @@ "" ] }, - "execution_count": 81, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -1787,7 +1787,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 12, "metadata": { "slideshow": { "slide_type": "notes" @@ -1822,7 +1822,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" @@ -1832,7 +1832,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "d048c2a6f5e74a5ba6c8a1f38cbf1638", + "model_id": "587051f9ddb4450bac5386ff3c45bede", "version_major": 2, "version_minor": 0 }, @@ -1849,7 +1849,7 @@ "" ] }, - "execution_count": 37, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1860,7 +1860,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 14, "metadata": { "slideshow": { "slide_type": "notes" @@ -1930,7 +1930,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 15, "metadata": { "slideshow": { "slide_type": "subslide" @@ -2817,12 +2817,12 @@ " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " 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\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18656,7 +18656,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 16, "metadata": { "slideshow": { "slide_type": "notes" @@ -18703,7 +18703,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 17, "metadata": { "slideshow": { "slide_type": "subslide" @@ -18747,10 +18747,10 @@ "L 4.472136 -4.472136 \r\n", "M -4.472136 -4.472136 \r\n", "L 4.472136 4.472136 \r\n", - "\" id=\"m809b7721fc\" style=\"stroke:#ff0000;stroke-width:1.5;\"/>\r\n", + "\" id=\"ma89c578c29\" style=\"stroke:#ff0000;stroke-width:1.5;\"/>\r\n", " \r\n", - " \r\n", - " \r\n", + " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18759,10 +18759,10 @@ " \r\n", " \r\n", + "\" id=\"m481347e6e1\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18827,7 +18827,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18878,7 +18878,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18894,7 +18894,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18936,7 +18936,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18951,7 +18951,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18966,7 +18966,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18981,7 +18981,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -18996,7 +18996,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19049,10 +19049,10 @@ " \r\n", " \r\n", + "\" id=\"me4647eaa9c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19066,7 +19066,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19079,7 +19079,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19092,7 +19092,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19105,7 +19105,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19152,7 +19152,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -19191,7 +19191,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", @@ -21478,7 +21478,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -21736,7 +21736,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -21808,7 +21808,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 18, "metadata": { "slideshow": { "slide_type": "subslide" @@ -22695,12 +22695,12 @@ " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", + "\" id=\"m7ccd966fb4\" style=\"stroke:#008000;stroke-width:1.3;\"/>\r\n", " \r\n", - " \r\n", - " \r\n", + " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 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\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -38539,7 +38539,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 19, "metadata": { "slideshow": { "slide_type": "notes" @@ -38561,7 +38561,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 20, "metadata": { "slideshow": { "slide_type": "subslide" @@ -38571,7 +38571,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "06d6bf06f0f049bfa163de56f7a2634c", + "model_id": "d9ef24abb756405a9e94fe65223c8df6", "version_major": 2, "version_minor": 0 }, @@ -38588,7 +38588,7 @@ "" ] }, - "execution_count": 44, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -38697,7 +38697,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 21, "metadata": { "slideshow": { "slide_type": "notes" @@ -38719,7 +38719,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 22, "metadata": { "slideshow": { "slide_type": "fragment" @@ -38739,7 +38739,8 @@ " for i in range(m))]\n", " theta = new_theta # jednoczesna aktualizacja - używamy zmiennej tymaczasowej\n", " try:\n", - " current_cost, prev_cost = cost_fun(h, theta, x, y), current_cost\n", + " prev_cost = current_cost\n", + " current_cost = cost_fun(h, theta, x, y)\n", " except OverflowError:\n", " break \n", " if abs(prev_cost - current_cost) <= eps:\n", @@ -38750,7 +38751,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 66, "metadata": { "slideshow": { "slide_type": "subslide" @@ -38760,7 +38761,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\large\\textrm{Wynik:}\\quad \\theta = \\left[\\begin{array}{r}-3.5254 \\\\ 1.1820 \\\\ \\end{array}\\right] \\quad J(\\theta) = 4.7368 \\quad \\textrm{po 2843 iteracjach}$" + "$\\displaystyle \\large\\textrm{Wynik:}\\quad \\theta = \\left[\\begin{array}{r}-3.5303 \\\\ 1.1825 \\\\ \\end{array}\\right] \\quad J(\\theta) = 4.7368 \\quad \\textrm{po 1512 iteracjach}$" ], "text/plain": [ "" @@ -38771,7 +38772,7 @@ } ], "source": [ - "best_theta, log = gradient_descent(h, J, [0.0, 0.0], x, y, alpha=0.01, eps=0.0000001)\n", + "best_theta, log = gradient_descent(h, J, [0.0, 0.0], x, y, alpha=0.02, eps=0.0000001)\n", "\n", "display(Math(r'\\large\\textrm{Wynik:}\\quad \\theta = ' + \n", " LatexMatrix(np.matrix(best_theta).reshape(2,1)) + \n", @@ -38781,7 +38782,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 24, "metadata": { "slideshow": { "slide_type": "notes" @@ -38799,7 +38800,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 65, "metadata": { "slideshow": { "slide_type": "subslide" @@ -38809,12 +38810,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "58824caa5b1f4e21adcdbc978e85bb9e", + "model_id": "cb3058c12b8a41e6a41472199c6e7c73", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "interactive(children=(IntSlider(value=1, description='kroki', max=500), Button(description='Run Interact', sty…" + "interactive(children=(IntSlider(value=500, description='kroki', max=500), Button(description='Run Interact', s…" ] }, "metadata": {}, @@ -38826,7 +38827,7 @@ "" ] }, - "execution_count": 55, + "execution_count": 65, "metadata": {}, "output_type": "execute_result" } @@ -38912,7 +38913,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 26, "metadata": { "slideshow": { "slide_type": "subslide" @@ -38923,7 +38924,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "59.83128964389119\n" + "59.20669578355076\n" ] } ], @@ -39000,7 +39001,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 27, "metadata": { "slideshow": { "slide_type": "skip" @@ -39018,7 +39019,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 28, "metadata": { "slideshow": { "slide_type": "subslide" @@ -39029,7 +39030,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "3.48379850279277\n" + "3.5475511284782235\n" ] } ], @@ -39099,7 +39100,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 29, "metadata": { "slideshow": { "slide_type": "subslide" @@ -39267,7 +39268,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 30, "metadata": { "slideshow": { "slide_type": "skip" @@ -39307,7 +39308,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 31, "metadata": { "slideshow": { "slide_type": "notes" @@ -39381,7 +39382,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 32, "metadata": { "slideshow": { "slide_type": "notes" @@ -39440,7 +39441,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 33, "metadata": { "slideshow": { "slide_type": "notes" @@ -39498,7 +39499,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 34, "metadata": { "slideshow": { "slide_type": "notes" @@ -39600,7 +39601,7 @@ }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 95, "metadata": { "slideshow": { "slide_type": "subslide" @@ -39650,89 +39651,89 @@ "C -3.535534 0.937635 -3.163008 1.836992 -2.5 2.5 \r\n", "C -1.836992 3.163008 -0.937635 3.535534 0 3.535534 \r\n", "z\r\n", - "\" id=\"m00e88fde68\" style=\"stroke:#ff0000;\"/>\r\n", + "\" id=\"m67474d52b6\" style=\"stroke:#ff0000;\"/>\r\n", " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39741,10 +39742,10 @@ " \r\n", " \r\n", + "\" id=\"m5480c23ba7\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39812,7 +39813,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39838,7 +39839,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39869,7 +39870,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39911,7 +39912,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39927,7 +39928,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39943,7 +39944,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -39959,7 +39960,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40158,10 +40159,10 @@ " \r\n", " \r\n", + "\" id=\"ma94304cd1d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40174,7 +40175,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40187,7 +40188,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40201,7 +40202,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40215,7 +40216,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40229,7 +40230,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40325,12 +40326,12 @@ " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", @@ -40570,7 +40571,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40647,7 +40648,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -40686,7 +40687,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 35, "metadata": { "slideshow": { "slide_type": "subslide" @@ -40694,16 +40695,15 @@ }, "outputs": [ { - "data": { - "text/latex": [ - "$\\displaystyle \\theta_{10^{-2}} = \\left[\\begin{array}{r}0.0531 \\\\ 0.8365 \\\\ \\end{array}\\right]\\quad\\theta_{10^{-6}} = \\left[\\begin{array}{r}-3.4895 \\\\ 1.1786 \\\\ \\end{array}\\right]$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "NameError", + "evalue": "name 'theta_e1' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m display(Math(r'\\theta_{10^{-2}} = ' + LatexMatrix(theta_e1) +\n\u001b[0m\u001b[0;32m 2\u001b[0m r'\\quad\\theta_{10^{-6}} = ' + LatexMatrix(theta_e2)))\n", + "\u001b[1;31mNameError\u001b[0m: name 'theta_e1' is not defined" + ] } ], "source": [ @@ -40724,7 +40724,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 36, "metadata": { "slideshow": { "slide_type": "notes" @@ -40756,7 +40756,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 37, "metadata": { "slideshow": { "slide_type": "subslide" @@ -40766,7 +40766,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "057a027e1cf942be8989edff532e6553", + "model_id": "9cd02764193847dbb18c227c20b06ef0", "version_major": 2, "version_minor": 0 }, @@ -40783,7 +40783,7 @@ "" ] }, - "execution_count": 32, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -40831,7 +40831,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 38, "metadata": { "slideshow": { "slide_type": "fragment" @@ -40943,7 +40943,7 @@ "9 604836.00 4 40" ] }, - "execution_count": 110, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -40958,7 +40958,7 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 39, "metadata": { "slideshow": { "slide_type": "notes" @@ -40978,7 +40978,7 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 40, "metadata": { "slideshow": { "slide_type": "notes" @@ -41015,7 +41015,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 41, "metadata": { "slideshow": { "slide_type": "fragment" @@ -41077,7 +41077,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 42, "metadata": { "slideshow": { "slide_type": "notes" @@ -41103,7 +41103,7 @@ }, { "cell_type": "code", - "execution_count": 115, + "execution_count": 43, "metadata": { "slideshow": { "slide_type": "fragment" @@ -41147,10 +41147,10 @@ " \r\n", " \r\n", + "\" id=\"mbcc397bf13\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41211,7 +41211,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41264,7 +41264,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41282,7 +41282,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41326,7 +41326,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41339,7 +41339,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41356,7 +41356,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41373,7 +41373,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41390,7 +41390,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41445,10 +41445,10 @@ " \r\n", " \r\n", + "\" id=\"m0acab89931\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41467,7 +41467,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41485,7 +41485,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41503,7 +41503,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41521,7 +41521,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41534,7 +41534,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41551,7 +41551,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41568,7 +41568,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41585,7 +41585,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -41611,7 +41611,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -44741,7 +44741,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 44, "metadata": { "slideshow": { "slide_type": "subslide" @@ -44793,7 +44793,7 @@ }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 46, "metadata": { "slideshow": { "slide_type": "subslide" @@ -44837,10 +44837,10 @@ " \r\n", " \r\n", + "\" id=\"m11cc2b845e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -44901,7 +44901,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -44954,7 +44954,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -44972,7 +44972,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45016,7 +45016,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45029,7 +45029,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45046,7 +45046,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45063,7 +45063,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45080,7 +45080,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45135,10 +45135,10 @@ " \r\n", " \r\n", + "\" id=\"m0b7618ea7a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45157,7 +45157,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45175,7 +45175,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45193,7 +45193,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45211,7 +45211,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45224,7 +45224,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45241,7 +45241,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45258,7 +45258,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45275,7 +45275,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -45299,7 +45299,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46587,7 +46587,7 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 47, "metadata": { "slideshow": { "slide_type": "subslide" @@ -46639,7 +46639,7 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 48, "metadata": { "slideshow": { "slide_type": "subslide" @@ -46683,10 +46683,10 @@ " \r\n", " \r\n", + "\" id=\"me503a0529e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46747,7 +46747,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46800,7 +46800,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46818,7 +46818,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46862,7 +46862,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46875,7 +46875,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46892,7 +46892,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46909,7 +46909,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46926,7 +46926,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -46981,10 +46981,10 @@ " \r\n", " \r\n", + "\" id=\"m7498394ea0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47003,7 +47003,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47021,7 +47021,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47039,7 +47039,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47057,7 +47057,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47070,7 +47070,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47087,7 +47087,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47104,7 +47104,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47121,7 +47121,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", @@ -47145,7 +47145,7 @@ " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", - " \r\n", " \r\n", " \r\n", - " \r\n", + " \r\n", " \r\n", " \r\n", " \r\n", diff --git a/wyk/2a_Regresja_logistyczna.ipynb b/wyk/2a_Regresja_logistyczna.ipynb index 04f0d92..d8d7b23 100644 --- a/wyk/2a_Regresja_logistyczna.ipynb +++ b/wyk/2a_Regresja_logistyczna.ipynb @@ -5344,7 +5344,7 @@ }, "source": [ "Jeżeli $h_\\theta(x) > 0.5$, to dla takiego $x$ będziemy przewidywać wartość $y = 1$.\n", - "W przeciwnym wypadku uprzewidzimy $y = 0$." + "W przeciwnym wypadku przewidzimy $y = 0$." ] }, { diff --git a/wyk/3_Ewaluacja_regularyzacja_optymalizacja.ipynb b/wyk/3_Ewaluacja_regularyzacja_optymalizacja.ipynb index e2cba3e..46509bf 100644 --- a/wyk/3_Ewaluacja_regularyzacja_optymalizacja.ipynb +++ b/wyk/3_Ewaluacja_regularyzacja_optymalizacja.ipynb @@ -261,8 +261,10 @@ "### Metryki dla zadań regresji\n", "\n", "Dla zadań regresji możemy zastosować np.:\n", - " * błąd średniokwadratowy (*root-mean-square error*, RMSE):\n", + " * pierwiastek z błędu średniokwadratowego (*root-mean-square error*, RMSE):\n", " $$ \\mathrm{RMSE} \\, = \\, \\sqrt{ \\frac{1}{m} \\sum_{i=1}^{m} \\left( \\hat{y}^{(i)} - y^{(i)} \\right)^2 } $$\n", + " * błąd średniokwadratowy (*mean-square error*, MSE):\n", + " $$ \\mathrm{MSE} \\, = \\, \\frac{1}{m} \\sum_{i=1}^{m} \\left( \\hat{y}^{(i)} - y^{(i)} \\right)^2 $$\n", " * średni błąd bezwzględny (*mean absolute error*, MAE):\n", " $$ \\mathrm{MAE} \\, = \\, \\frac{1}{m} \\sum_{i=1}^{m} \\left| \\hat{y}^{(i)} - y^{(i)} \\right| $$" ] @@ -293,7 +295,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "notes" @@ -315,7 +317,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "notes" @@ -334,7 +336,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 4, "metadata": { "slideshow": { "slide_type": "notes" @@ -406,7 +408,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "notes" @@ -430,7 +432,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" @@ -456,7 +458,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "notes" @@ -503,7 +505,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "notes" @@ -531,7 +533,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "subslide" @@ -561,7 +563,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "notes" @@ -583,7 +585,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" @@ -597,7 +599,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 12, "metadata": { "slideshow": { "slide_type": "notes" @@ -617,8 +619,9 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 13, "metadata": { + "scrolled": true, "slideshow": { "slide_type": "subslide" } @@ -627,7 +630,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "3f6877198a304e40b7c159f189c4277a", + "model_id": "6c123102aea949478ef94b1b25f5e125", "version_major": 2, "version_minor": 0 }, @@ -644,7 +647,7 @@ "" ] }, - "execution_count": 54, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1354,7 +1357,11 @@ { "cell_type": "code", "execution_count": 26, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, "outputs": [], "source": [ "# Funkcja regresji wielomianowej\n", @@ -1371,7 +1378,11 @@ { "cell_type": "code", "execution_count": 27, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, "outputs": [], "source": [ "def plot_fun(fig, fun, X):\n", @@ -1646,7 +1657,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 14, "metadata": { "slideshow": { "slide_type": "notes" @@ -1706,7 +1717,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 15, "metadata": { "slideshow": { "slide_type": "notes" @@ -1727,7 +1738,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 16, "metadata": { "slideshow": { "slide_type": "notes" @@ -1767,7 +1778,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 17, "metadata": { "slideshow": { "slide_type": "subslide" @@ -1778,16 +1789,16 @@ "name": "stderr", "output_type": "stream", "text": [ - ":5: RuntimeWarning: overflow encountered in exp\n", + ":5: RuntimeWarning: overflow encountered in exp\n", " y = 1.0/(1.0 + np.exp(-x))\n", - ":19: UserWarning: The following kwargs were not used by contour: 'lw'\n", + ":19: UserWarning: The following kwargs were not used by contour: 'lw'\n", " plt.contour(xx, yy, z, levels=[0.5], lw=3);\n", "No handles with labels found to put in legend.\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1916,7 +1927,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 18, "metadata": { "slideshow": { "slide_type": "subslide" @@ -1944,7 +1955,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 19, "metadata": { "slideshow": { "slide_type": "notes" @@ -1960,7 +1971,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 20, "metadata": { "scrolled": true, "slideshow": { @@ -1971,7 +1982,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "e49f6a277b3d4b378df0c46330a07094", + "model_id": "31bdaaf0f30746aaa35b7342ef3c3b46", "version_major": 2, "version_minor": 0 }, @@ -1988,7 +1999,7 @@ "" ] }, - "execution_count": 61, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -1999,7 +2010,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 21, "metadata": { "slideshow": { "slide_type": "notes" @@ -2032,7 +2043,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 22, "metadata": { "slideshow": { "slide_type": "subslide" @@ -2041,7 +2052,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -2083,7 +2094,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 24, "metadata": { "slideshow": { "slide_type": "notes" @@ -2144,7 +2155,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 25, "metadata": { "slideshow": { "slide_type": "subslide" @@ -2153,7 +2164,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -2444,7 +2455,7 @@ "### Adagrad\n", "\n", "* “Adaptive gradient”\n", - "* Adagrad dostosowuje współczynnik uczenia (*learning rate*) do parametrów: zmniejsza go dla cech występujących częściej, a zwiększa dla występujących rzadziej:\n", + "* Adagrad dostosowuje współczynnik uczenia (*learning rate*) do wartości parametrów modelu\n", "* Świetny do trenowania na rzadkich (*sparse*) zbiorach danych\n", "* Wada: współczynnik uczenia może czasami gwałtownie maleć\n", "* Wyniki badań pokazują, że często **starannie** dobrane $\\alpha$ daje lepsze wyniki na zbiorze testowym" diff --git a/wyk/3a_Uczenie_nienadzorowane.ipynb b/wyk/3a_Uczenie_nienadzorowane.ipynb index 6353e93..cf48b6b 100644 --- a/wyk/3a_Uczenie_nienadzorowane.ipynb +++ b/wyk/3a_Uczenie_nienadzorowane.ipynb @@ -8,8 +8,8 @@ } }, "source": [ - "### AITech — Uczenie maszynowe\n", - "# 7. Uczenie nienadzorowane" + "### Uczenie maszynowe\n", + "# 3a. Uczenie nienadzorowane" ] }, { @@ -39,12 +39,12 @@ } }, "source": [ - "## 7.1. Algorytm $k$ średnich" + "## 3a.1. Algorytm $k$ średnich" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "notes" @@ -66,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "notes" @@ -94,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 4, "metadata": { "slideshow": { "slide_type": "notes" @@ -118,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "notes" @@ -138,7 +138,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" @@ -148,7 +148,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "1f6d6588f31343a8954f9a91a2971507", + "model_id": "760d2c2ea3da41d78a31fe9a0fb47364", "version_major": 2, "version_minor": 0 }, @@ -165,7 +165,7 @@ "" ] }, - "execution_count": 18, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -192,20 +192,28 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\pawel\\anaconda3\\lib\\site-packages\\seaborn\\axisgrid.py:2071: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n", + " warnings.warn(msg, UserWarning)\n" + ] + }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 19, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, @@ -228,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "notes" @@ -243,7 +251,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "notes" @@ -282,7 +290,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "notes" @@ -316,7 +324,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" @@ -325,7 +333,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -343,7 +351,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 12, "metadata": { "slideshow": { "slide_type": "notes" @@ -371,7 +379,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" @@ -381,7 +389,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "d60eb5f7bce84fabaa43033382b1c9b8", + "model_id": "24e12e9077474cd9bb7460d0ec862c24", "version_major": 2, "version_minor": 0 }, @@ -398,7 +406,7 @@ "" ] }, - "execution_count": 25, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -573,7 +581,7 @@ } }, "source": [ - "## 7.2. Analiza głównych składowych" + "## 3a.2. Analiza głównych składowych" ] }, { diff --git a/wyk/3b_Przegląd_metod_uczenia_nadzorowanego.ipynb b/wyk/3b_Przegląd_metod_uczenia_nadzorowanego.ipynb index a7e0e76..dfc89f9 100644 --- a/wyk/3b_Przegląd_metod_uczenia_nadzorowanego.ipynb +++ b/wyk/3b_Przegląd_metod_uczenia_nadzorowanego.ipynb @@ -9,7 +9,7 @@ }, "source": [ "### AITech — Uczenie maszynowe\n", - "# 8. Przegląd metod uczenia nadzorowanego" + "# 3b. Przegląd metod uczenia nadzorowanego" ] }, { @@ -20,7 +20,7 @@ } }, "source": [ - "## 8.1. Naiwny klasyfikator bayesowski" + "## 3b.1. Naiwny klasyfikator bayesowski" ] }, { @@ -1471,7 +1471,7 @@ } }, "source": [ - "## 8.2. Algorytm $k$ najbliższych sąsiadów" + "## 3b.2. Algorytm $k$ najbliższych sąsiadów" ] }, { @@ -2223,7 +2223,7 @@ } }, "source": [ - "## 8.3. Drzewa decyzyjne" + "## 3b.3. Drzewa decyzyjne" ] }, {