Upload LoRA.ipynb
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blog/multi-lora-serving/LoRA.ipynb
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| 1 |
+
{
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| 2 |
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"cells": [
|
| 3 |
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{
|
| 4 |
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"cell_type": "markdown",
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| 5 |
+
"id": "substantial-impact",
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| 6 |
+
"metadata": {},
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| 7 |
+
"source": [
|
| 8 |
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"# Welcome to Manim!"
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| 9 |
+
]
|
| 10 |
+
},
|
| 11 |
+
{
|
| 12 |
+
"cell_type": "code",
|
| 13 |
+
"execution_count": 1,
|
| 14 |
+
"id": "11e0c778-c8bc-4972-8bc3-8dc929de6caa",
|
| 15 |
+
"metadata": {
|
| 16 |
+
"tags": []
|
| 17 |
+
},
|
| 18 |
+
"outputs": [],
|
| 19 |
+
"source": [
|
| 20 |
+
"from manim import *\n",
|
| 21 |
+
"\n",
|
| 22 |
+
"config.media_width = \"75%\"\n",
|
| 23 |
+
"config.verbosity = \"WARNING\""
|
| 24 |
+
]
|
| 25 |
+
},
|
| 26 |
+
{
|
| 27 |
+
"cell_type": "markdown",
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| 28 |
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"id": "antique-knock",
|
| 29 |
+
"metadata": {},
|
| 30 |
+
"source": [
|
| 31 |
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"## LoRA"
|
| 32 |
+
]
|
| 33 |
+
},
|
| 34 |
+
{
|
| 35 |
+
"cell_type": "code",
|
| 36 |
+
"execution_count": 81,
|
| 37 |
+
"id": "f7875452-fdc2-4f5d-8da2-a333f2a82e64",
|
| 38 |
+
"metadata": {
|
| 39 |
+
"tags": []
|
| 40 |
+
},
|
| 41 |
+
"outputs": [
|
| 42 |
+
{
|
| 43 |
+
"data": {
|
| 44 |
+
"text/html": [
|
| 45 |
+
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Manim Community <span style=\"color: #008000; text-decoration-color: #008000\">v0.18.1</span>\n",
|
| 46 |
+
"\n",
|
| 47 |
+
"</pre>\n"
|
| 48 |
+
],
|
| 49 |
+
"text/plain": [
|
| 50 |
+
"Manim Community \u001b[32mv0.\u001b[0m\u001b[32m18.1\u001b[0m\n",
|
| 51 |
+
"\n"
|
| 52 |
+
]
|
| 53 |
+
},
|
| 54 |
+
"metadata": {},
|
| 55 |
+
"output_type": "display_data"
|
| 56 |
+
},
|
| 57 |
+
{
|
| 58 |
+
"data": {
|
| 59 |
+
"text/html": [
|
| 60 |
+
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[06/09/24 14:46:08] </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING </span> Output format set as webm, this can be slower than other formats <a href=\"file:///home/user/miniconda/lib/python3.9/site-packages/manim/_config/utils.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">utils.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/user/miniconda/lib/python3.9/site-packages/manim/_config/utils.py#1061\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">1061</span></a>\n",
|
| 61 |
+
"</pre>\n"
|
| 62 |
+
],
|
| 63 |
+
"text/plain": [
|
| 64 |
+
"\u001b[2;36m[06/09/24 14:46:08]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING \u001b[0m Output format set as webm, this can be slower than other formats \u001b]8;id=477302;file:///home/user/miniconda/lib/python3.9/site-packages/manim/_config/utils.py\u001b\\\u001b[2mutils.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=649502;file:///home/user/miniconda/lib/python3.9/site-packages/manim/_config/utils.py#1061\u001b\\\u001b[2m1061\u001b[0m\u001b]8;;\u001b\\\n"
|
| 65 |
+
]
|
| 66 |
+
},
|
| 67 |
+
"metadata": {},
|
| 68 |
+
"output_type": "display_data"
|
| 69 |
+
},
|
| 70 |
+
{
|
| 71 |
+
"name": "stderr",
|
| 72 |
+
"output_type": "stream",
|
| 73 |
+
"text": [
|
| 74 |
+
" \r"
|
| 75 |
+
]
|
| 76 |
+
},
|
| 77 |
+
{
|
| 78 |
+
"data": {
|
| 79 |
+
"text/html": [
|
| 80 |
+
"<video src=\"media/jupyter/LoRA@2024-06-09@14-47-19.webm\" controls autoplay loop style=\"max-width: 75%;\" >\n",
|
| 81 |
+
" Your browser does not support the <code>video</code> element.\n",
|
| 82 |
+
" </video>"
|
| 83 |
+
],
|
| 84 |
+
"text/plain": [
|
| 85 |
+
"<IPython.core.display.Video object>"
|
| 86 |
+
]
|
| 87 |
+
},
|
| 88 |
+
"metadata": {},
|
| 89 |
+
"output_type": "display_data"
|
| 90 |
+
}
|
| 91 |
+
],
|
| 92 |
+
"source": [
|
| 93 |
+
"%%manim -qm --format webm LoRA\n",
|
| 94 |
+
"\n",
|
| 95 |
+
"from manim import *\n",
|
| 96 |
+
"\n",
|
| 97 |
+
"class LoRA(Scene):\n",
|
| 98 |
+
" def construct(self):\n",
|
| 99 |
+
" text_rotation = PI/2\n",
|
| 100 |
+
" # Create the input\n",
|
| 101 |
+
" input_rect = Rectangle(width=1, height=4, color=GREEN).to_edge(LEFT)\n",
|
| 102 |
+
" input_label = Tex(\"$x \\\\in \\\\mathbb{R}^{d}$\", color=WHITE).move_to(input_rect).rotate(text_rotation)\n",
|
| 103 |
+
" \n",
|
| 104 |
+
" # Create weights\n",
|
| 105 |
+
" weights = Rectangle(width=3, height=3, color=BLUE).move_to(input_rect).shift(RIGHT*3.5).shift(UP*1.75)\n",
|
| 106 |
+
" weights_label = Tex(\"$W \\\\in \\\\mathbb{R}^{d \\\\times d}$\", color=WHITE).move_to(weights)\n",
|
| 107 |
+
" vector_d = Tex(\"$d$\", color=WHITE).next_to(weights, UP, buff=0.2)\n",
|
| 108 |
+
"\n",
|
| 109 |
+
" # Create trapezoids\n",
|
| 110 |
+
" trapezoid1 = Polygon([-2, 1, 0], [2, 1, 0], [0.5, -0.5, 0], [-0.5, -0.5, 0], color=ORANGE).rotate(PI/2).scale(0.7)\n",
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| 111 |
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" trapezoid1.next_to(weights, DOWN, buff=0.5)\n",
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| 112 |
+
" trapezoid1.align_to(weights, LEFT) \n",
|
| 113 |
+
" trapezoid1_label = Tex(\"$A$\", color=WHITE).move_to(trapezoid1)\n",
|
| 114 |
+
"\n",
|
| 115 |
+
" trapezoid2 = Polygon([-0.5, 0.5, 0], [0.5, 0.5, 0], [2, -1, 0], [-2, -1, 0], color=ORANGE).rotate(PI/2).scale(0.7)\n",
|
| 116 |
+
" trapezoid2.next_to(trapezoid1, RIGHT, buff=0.5)\n",
|
| 117 |
+
" trapezoid2.align_to(weights, RIGHT) \n",
|
| 118 |
+
" trapezoid2_label = Tex(\"$B$\", color=WHITE).move_to(trapezoid2)\n",
|
| 119 |
+
" \n",
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| 120 |
+
" r_brace = Brace(Line([-0.5, 0.5, 0], [0.5, 0.5, 0]), color=GREY).rotate(PI/2).move_to(trapezoid1, RIGHT).shift(.3*RIGHT).scale(0.7)\n",
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| 121 |
+
" vector_r = Tex(\"$r$\", color=GREY).next_to(r_brace, RIGHT, buff=0.1)\n",
|
| 122 |
+
" \n",
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| 123 |
+
" wx = Rectangle(width=1, height=3, color=PURPLE).move_to(weights, RIGHT).shift(2*RIGHT)\n",
|
| 124 |
+
" wx_label = Tex(\"$Wx$\").move_to(wx)\n",
|
| 125 |
+
" \n",
|
| 126 |
+
" lorax = Rectangle(width=1, height=3, color=PURPLE).move_to(trapezoid2, RIGHT).shift(2*RIGHT)\n",
|
| 127 |
+
" lorax_label = Tex(\"$BAx$\").move_to(lorax)\n",
|
| 128 |
+
" \n",
|
| 129 |
+
" h = Rectangle(width=1, height=4, color=RED).align_to(lorax, RIGHT).align_to(input_rect, DOWN).shift(2*RIGHT)\n",
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| 130 |
+
" h_label = Tex(\"$h$\").move_to(h)\n",
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| 131 |
+
"\n",
|
| 132 |
+
" # Arrows\n",
|
| 133 |
+
" arrow_input_weights = Arrow(input_rect.get_right(), weights.get_left(), buff=0.1, color=GREY)\n",
|
| 134 |
+
" arrow_weights_wx = Arrow(weights.get_right(), wx.get_left(), buff=0.1, color=GREY)\n",
|
| 135 |
+
" arrow_input_matA = Arrow(input_rect.get_right(), trapezoid1.get_left(), buff=0.1, color=GREY)\n",
|
| 136 |
+
" arrow_matB_BAx = Arrow(trapezoid2.get_right(), lorax.get_left(), buff=0.1, color=GREY)\n",
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| 137 |
+
" \n",
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| 138 |
+
" # Create Plus Sign\n",
|
| 139 |
+
" vertical_line = Line(UP, DOWN, stroke_width=12, color=GREY)\n",
|
| 140 |
+
" horizontal_line = Line(LEFT, RIGHT, stroke_width=12, color=GREY)\n",
|
| 141 |
+
" plus_sign = VGroup(vertical_line, horizontal_line).scale(0.25)\n",
|
| 142 |
+
" plus_sign.move_to(h, LEFT).shift(0.75*LEFT)\n",
|
| 143 |
+
" \n",
|
| 144 |
+
" # Legend Box\n",
|
| 145 |
+
" legend_box = VGroup(\n",
|
| 146 |
+
" Tex(\"input\", color=GREEN),\n",
|
| 147 |
+
" Tex(\"frozen weights\", color=BLUE),\n",
|
| 148 |
+
" Tex(\"low rank matrices\", color=ORANGE),\n",
|
| 149 |
+
" Tex(\"activations\", color=PURPLE),\n",
|
| 150 |
+
" Tex(\"output\", color=RED)\n",
|
| 151 |
+
" ).arrange(DOWN, aligned_edge=LEFT, buff=0.1).scale(0.7)\n",
|
| 152 |
+
" \n",
|
| 153 |
+
" legend_background = Rectangle(width=legend_box.width+0.6, height=legend_box.height+0.6, stroke_color=GREY)\n",
|
| 154 |
+
" legend_background.to_edge(RIGHT).to_edge(UP)\n",
|
| 155 |
+
" legend_background.align_to(weights, UP)\n",
|
| 156 |
+
" legend_box.move_to(legend_background.get_center())\n",
|
| 157 |
+
"\n",
|
| 158 |
+
" # Adjust elements\n",
|
| 159 |
+
" block_elements = [input_rect, weights, trapezoid1, trapezoid2, wx, lorax, h, legend_background]\n",
|
| 160 |
+
" label_elements = [input_label, weights_label, trapezoid1_label, trapezoid2_label, wx_label, lorax_label, h_label, vector_r, r_brace, legend_box]\n",
|
| 161 |
+
" arrow_elements = [arrow_input_weights, arrow_weights_wx, arrow_input_matA, arrow_matB_BAx, plus_sign]\n",
|
| 162 |
+
" for element in block_elements + label_elements + arrow_elements:\n",
|
| 163 |
+
" element.shift(0.2 * DOWN)\n",
|
| 164 |
+
"\n",
|
| 165 |
+
" # Add title\n",
|
| 166 |
+
" title = Text(\"LoRA Inference\", font_size=36, color=WHITE).to_edge(UP).shift(0.30*UP)\n",
|
| 167 |
+
" block_elements += title\n",
|
| 168 |
+
" \n",
|
| 169 |
+
" # Animation for emphasis\n",
|
| 170 |
+
" self.play(FadeIn(*block_elements), run_time=1/3)\n",
|
| 171 |
+
" self.wait(1/3)\n",
|
| 172 |
+
" \n",
|
| 173 |
+
" # Animation for emphasis\n",
|
| 174 |
+
" self.play(FadeIn(*label_elements), run_time=1/3)\n",
|
| 175 |
+
" self.wait(1/3)\n",
|
| 176 |
+
" \n",
|
| 177 |
+
" # Animation for emphasis\n",
|
| 178 |
+
" self.play(FadeIn(*arrow_elements), run_time=1/3)\n",
|
| 179 |
+
" self.wait(1/3)\n",
|
| 180 |
+
" \n",
|
| 181 |
+
" # Explain LoRA\n",
|
| 182 |
+
" explain_shift = 0.45\n",
|
| 183 |
+
" explain = Tex(\"$A,B $\", \"$ \\\\in \\\\mathbb{R}^{d \\\\times r}$\", \" LoRA reduces an input to a low rank dim: \", \"$r$\", color=WHITE)\n",
|
| 184 |
+
" explain = explain.set_color_by_tex('$A,B $', ORANGE).set_color_by_tex('$r$', YELLOW)\n",
|
| 185 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 186 |
+
" self.play(FadeIn(explain), vector_r.animate.set_color(YELLOW), r_brace.animate.set_color(YELLOW), run_time=1)\n",
|
| 187 |
+
" self.play(Indicate(trapezoid1, rate_func=there_and_back), Indicate(trapezoid2, rate_func=there_and_back), Indicate(vector_r), Flash(r_brace), run_time=1)\n",
|
| 188 |
+
" self.wait(1)\n",
|
| 189 |
+
" self.play(FadeOut(explain), vector_r.animate.set_color(GREY), r_brace.animate.set_color(GREY), run_time=1)\n",
|
| 190 |
+
" self.wait(0.5)\n",
|
| 191 |
+
"\n",
|
| 192 |
+
" # Explain Wx\n",
|
| 193 |
+
" explain = Tex(\"$Wx$\", \" is calculated from our \", \"input\", \" and our \", \"pre-trained weights\", color=WHITE)\n",
|
| 194 |
+
" explain = explain.set_color_by_tex('Wx', PURPLE).set_color_by_tex(\"input\", GREEN).set_color_by_tex(\"pre-trained weights\", BLUE)\n",
|
| 195 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 196 |
+
" self.play(FadeIn(explain), arrow_input_weights.animate.set_color(YELLOW), arrow_weights_wx.animate.set_color(YELLOW), run_time=1)\n",
|
| 197 |
+
" self.play(Indicate(input_rect, rate_func=there_and_back), Indicate(weights, rate_func=there_and_back), Indicate(wx, rate_func=there_and_back), run_time=1)\n",
|
| 198 |
+
" self.wait(1)\n",
|
| 199 |
+
" self.play(FadeOut(explain), arrow_input_weights.animate.set_color(GREY), arrow_weights_wx.animate.set_color(GREY))\n",
|
| 200 |
+
" self.wait(0.5)\n",
|
| 201 |
+
" \n",
|
| 202 |
+
" # Explain BAx\n",
|
| 203 |
+
" explain = Tex(\"$BAx$\", \" is calculated from our \", \"input\", \" and our \", \"low-rank adapters\", color=WHITE)\n",
|
| 204 |
+
" explain = explain.set_color_by_tex('BAx', PURPLE).set_color_by_tex(\"input\", GREEN).set_color_by_tex(\"low-rank adapters\", ORANGE)\n",
|
| 205 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 206 |
+
" self.play(FadeIn(explain), arrow_input_matA.animate.set_color(YELLOW), arrow_matB_BAx.animate.set_color(YELLOW), run_time=1)\n",
|
| 207 |
+
" self.play(Indicate(input_rect, rate_func=there_and_back), Indicate(trapezoid1, rate_func=there_and_back), Indicate(trapezoid2, rate_func=there_and_back), Indicate(lorax, rate_func=there_and_back), run_time=1)\n",
|
| 208 |
+
" self.wait(1)\n",
|
| 209 |
+
" self.play(FadeOut(explain), arrow_input_matA.animate.set_color(GREY), arrow_matB_BAx.animate.set_color(GREY))\n",
|
| 210 |
+
" self.wait(0.5)\n",
|
| 211 |
+
" \n",
|
| 212 |
+
" # Explain h\n",
|
| 213 |
+
" explain = Tex(\"$h=Wx + BAx$\", \" is the sum of \", \"$Wx$\", \" and \", \"$BAx$\", color=WHITE)\n",
|
| 214 |
+
" explain = explain.set_color_by_tex('$h=Wx + BAx$', RED).set_color_by_tex(\"$Wx$\", PURPLE).set_color_by_tex(\"$BAx$\", PURPLE)\n",
|
| 215 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 216 |
+
" self.play(FadeIn(explain), plus_sign.animate.set_color(YELLOW), run_time=1)\n",
|
| 217 |
+
" self.play(Indicate(wx, rate_func=there_and_back), Indicate(lorax, rate_func=there_and_back), Indicate(h, rate_func=there_and_back), run_time=1)\n",
|
| 218 |
+
" self.wait(1)\n",
|
| 219 |
+
" self.play(FadeOut(explain), plus_sign.animate.set_color(GREY), run_time=1)\n",
|
| 220 |
+
" self.wait(0.5)\n",
|
| 221 |
+
" "
|
| 222 |
+
]
|
| 223 |
+
},
|
| 224 |
+
{
|
| 225 |
+
"cell_type": "code",
|
| 226 |
+
"execution_count": 82,
|
| 227 |
+
"id": "cbe45556-cbb0-47a1-8d21-f25ff1f4e0d3",
|
| 228 |
+
"metadata": {
|
| 229 |
+
"tags": []
|
| 230 |
+
},
|
| 231 |
+
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|
| 232 |
+
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| 233 |
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| 234 |
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| 235 |
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|
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| 237 |
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| 238 |
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],
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"source": [
|
| 283 |
+
"%%manim -qm --format webm MultiLoRA\n",
|
| 284 |
+
"\n",
|
| 285 |
+
"from manim import *\n",
|
| 286 |
+
"\n",
|
| 287 |
+
"class MultiLoRA(Scene):\n",
|
| 288 |
+
" def construct(self):\n",
|
| 289 |
+
" # Add title\n",
|
| 290 |
+
" title = Text(\"Multi-LoRA Inference\", font_size=36, color=WHITE).to_edge(UP).shift(0.30*UP)\n",
|
| 291 |
+
" \n",
|
| 292 |
+
" # Create the base input\n",
|
| 293 |
+
" x_width = 2.5\n",
|
| 294 |
+
" input_rect = Rectangle(width=x_width, height=2, color=GREEN).to_edge(LEFT, buff=0.5)\n",
|
| 295 |
+
" input_label = Tex(\"$x$\", color=WHITE).move_to(input_rect)\n",
|
| 296 |
+
"\n",
|
| 297 |
+
" # Create W matrix rectangle\n",
|
| 298 |
+
" w_rect = Rectangle(width=2.25, height=2.25, color=BLUE).next_to(input_rect, RIGHT, buff=1.25).shift(1.25*UP)\n",
|
| 299 |
+
" w_label = Text(\"W\", color=WHITE).scale(0.75).move_to(w_rect)\n",
|
| 300 |
+
"\n",
|
| 301 |
+
" # Create batched inputs for weight multiplication\n",
|
| 302 |
+
" x1_w = Rectangle(width=x_width, height=0.75, color=GREEN).next_to(w_rect, RIGHT, buff=1.125).shift(0.75*UP)\n",
|
| 303 |
+
" x1_w_label = Tex(\"$x_1$\", color=WHITE).move_to(x1_w)\n",
|
| 304 |
+
" x2_w = Rectangle(width=x_width, height=1.25, color=GREEN).next_to(x1_w, DOWN)\n",
|
| 305 |
+
" x2_w_label = Tex(\"$x_2$\", color=WHITE).move_to(x2_w)\n",
|
| 306 |
+
"\n",
|
| 307 |
+
" # Create LoRA computation blocks\n",
|
| 308 |
+
" l1_rect = Rectangle(width=2.25, height=1, color=ORANGE).next_to(input_rect, RIGHT, buff=1.25).shift(1.25*DOWN)\n",
|
| 309 |
+
" l1_label = Tex(\"$B_1 * A_1$\", color=WHITE).scale(0.75).move_to(l1_rect)\n",
|
| 310 |
+
" l2_rect = Rectangle(width=2.25, height=1, color=ORANGE).next_to(l1_rect, DOWN)\n",
|
| 311 |
+
" l2_label = Tex(\"$B_2 * A_2$\", color=WHITE).scale(0.75).move_to(l2_rect)\n",
|
| 312 |
+
" \n",
|
| 313 |
+
" x1_l = Rectangle(width=x_width, height=0.75, color=GREEN).next_to(l1_rect, RIGHT, buff=1.125).align_to(l1_rect, UP)\n",
|
| 314 |
+
" x1_l_label = Tex(\"$x_1$\", color=WHITE).move_to(x1_l)\n",
|
| 315 |
+
" x2_l = Rectangle(width=x_width, height=1.25, color=GREEN).next_to(x1_l, DOWN)\n",
|
| 316 |
+
" x2_l_label = Tex(\"$x_2$\", color=WHITE).move_to(x2_l)\n",
|
| 317 |
+
"\n",
|
| 318 |
+
" # Grouping boxes\n",
|
| 319 |
+
" group_box_w = SurroundingRectangle(VGroup(x1_w, x2_w, w_rect), color=GREY, buff=0.1)\n",
|
| 320 |
+
" group_box_l = SurroundingRectangle(VGroup(x1_l, x2_l, l1_rect, l2_rect), color=GREY, buff=0.1)\n",
|
| 321 |
+
"\n",
|
| 322 |
+
" # Labels for Grouping Boxes\n",
|
| 323 |
+
" group_box_w_label = Text(\"Batched Base Computation\", font_size=24, color=GREY).next_to(group_box_w, UP, buff=0.1)\n",
|
| 324 |
+
" group_box_l_label = Text(\"Batched LoRA Computation\", font_size=24, color=GREY).next_to(group_box_l, UP, buff=0.1)\n",
|
| 325 |
+
"\n",
|
| 326 |
+
" # Create Multiplication Sign\n",
|
| 327 |
+
" times_x = (x2_w.get_left()[0] + w_rect.get_right()[0]) / 2\n",
|
| 328 |
+
" times_sign_w = self.create_multiplication_sign(w_rect.get_center()).set_x(times_x)\n",
|
| 329 |
+
" times_sign_l = self.create_multiplication_sign(VGroup(l1_rect, l2_rect).get_center()).set_x(times_x)\n",
|
| 330 |
+
" \n",
|
| 331 |
+
" # Output\n",
|
| 332 |
+
" output_rect = Rectangle(width=x_width, height=2, color=RED).to_edge(RIGHT, buff=0.5)\n",
|
| 333 |
+
" output_label = Tex(\"$h$\", color=WHITE).move_to(output_rect)\n",
|
| 334 |
+
" \n",
|
| 335 |
+
" # Create Plus Sign\n",
|
| 336 |
+
" plus_x = (group_box_w.get_right()[0] + output_rect.get_left()[0]) / 2\n",
|
| 337 |
+
" plus_sign = self.create_plus_sign(output_rect.get_center()).set_x(plus_x)\n",
|
| 338 |
+
" \n",
|
| 339 |
+
" # Create Arrows\n",
|
| 340 |
+
" arrow_input_weights = Arrow(input_rect.get_right(), group_box_w.get_left(), buff=0.1, color=GREY)\n",
|
| 341 |
+
" arrow_input_lora = Arrow(input_rect.get_right(), group_box_l.get_left(), buff=0.1, color=GREY)\n",
|
| 342 |
+
" \n",
|
| 343 |
+
" # Grouping elements\n",
|
| 344 |
+
" block_elements = [input_rect, x1_w, x2_w, w_rect, x1_l, x2_l, l1_rect, l2_rect, output_rect]\n",
|
| 345 |
+
" label_elements = [input_label, x1_w_label, x2_w_label, w_label, x1_l_label, x2_l_label, l1_label, l2_label, output_label]\n",
|
| 346 |
+
" arrow_elements = [arrow_input_weights, arrow_input_lora]\n",
|
| 347 |
+
" sign_elements = [times_sign_w, times_sign_l, plus_sign]\n",
|
| 348 |
+
" group_box_elements = [group_box_w, group_box_l, group_box_w_label, group_box_l_label]\n",
|
| 349 |
+
" \n",
|
| 350 |
+
" # Fade in elements\n",
|
| 351 |
+
" self.play(FadeIn(title), run_time=1/3)\n",
|
| 352 |
+
" self.play(*[FadeIn(element) for element in block_elements + label_elements], run_time=1/3)\n",
|
| 353 |
+
" self.play(*[FadeIn(element) for element in arrow_elements], run_time=1/3)\n",
|
| 354 |
+
" self.play(*[FadeIn(element) for element in sign_elements], run_time=1/3)\n",
|
| 355 |
+
" self.play(*[FadeIn(element) for element in group_box_elements], run_time=1/3)\n",
|
| 356 |
+
"\n",
|
| 357 |
+
" # Explain LoRA\n",
|
| 358 |
+
" explain_shift = 0.3\n",
|
| 359 |
+
" \n",
|
| 360 |
+
" explain = Tex(\"$x$\", \" is a heterogeneous batch of \", \"inputs\", \" to different \", \" LoRA adapters\", color=WHITE)\n",
|
| 361 |
+
" explain = explain.set_color_by_tex('$x$', GREEN).set_color_by_tex('inputs', GREEN).set_color_by_tex(' LoRA adapters', ORANGE)\n",
|
| 362 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 363 |
+
" x_elements = [x1_w, x2_w, x1_l, x2_l]\n",
|
| 364 |
+
" self.play(FadeIn(explain), run_time=2/3)\n",
|
| 365 |
+
" self.play(Indicate(input_rect), run_time=2/3)\n",
|
| 366 |
+
" self.play(*[Indicate(arrow_element, rate_func=there_and_back) for arrow_element in arrow_elements], run_time=2/3)\n",
|
| 367 |
+
" self.play(*[Indicate(x_element, rate_func=there_and_back) for x_element in x_elements], run_time=1)\n",
|
| 368 |
+
" self.wait(1)\n",
|
| 369 |
+
" self.play(FadeOut(explain), run_time=1)\n",
|
| 370 |
+
" self.wait(0.5)\n",
|
| 371 |
+
"\n",
|
| 372 |
+
" # Explain Wx\n",
|
| 373 |
+
" explain = Tex(\"Batched Base Computation\", \" = \", \"frozen weights\", \" $*$ \", \"input\", color=WHITE)\n",
|
| 374 |
+
" explain = explain.set_color_by_tex('input', GREEN).set_color_by_tex('frozen weights', BLUE)\n",
|
| 375 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 376 |
+
" x_elements = [x1_w, x2_w]\n",
|
| 377 |
+
" self.play(FadeIn(explain), group_box_w.animate.set_color(YELLOW), group_box_w_label.animate.set_color(YELLOW), run_time=1)\n",
|
| 378 |
+
" self.play(Indicate(w_rect), run_time=0.5)\n",
|
| 379 |
+
" self.play(Indicate(times_sign_w), run_time=0.5)\n",
|
| 380 |
+
" self.play(*[Indicate(x_element, rate_func=there_and_back) for x_element in x_elements], run_time=0.5)\n",
|
| 381 |
+
" self.wait(1)\n",
|
| 382 |
+
" self.play(FadeOut(explain), group_box_w.animate.set_color(GREY), group_box_w_label.animate.set_color(GREY), run_time=1)\n",
|
| 383 |
+
" self.wait(0.5)\n",
|
| 384 |
+
"\n",
|
| 385 |
+
" # Explain BAx\n",
|
| 386 |
+
" explain = Tex(\"Batched LoRA Computation\", \" = \", \"LoRA adapters\", \" $*$ \", \"input\", color=WHITE)\n",
|
| 387 |
+
" explain = explain.set_color_by_tex('input', GREEN).set_color_by_tex('LoRA adapters', ORANGE)\n",
|
| 388 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 389 |
+
" x_elements = [x1_l, x2_l]\n",
|
| 390 |
+
" l_elements = [l1_rect, l2_rect]\n",
|
| 391 |
+
" self.play(FadeIn(explain), group_box_l.animate.set_color(YELLOW), group_box_l_label.animate.set_color(YELLOW), run_time=1)\n",
|
| 392 |
+
" self.play(*[Indicate(l_element, rate_func=there_and_back) for l_element in l_elements], run_time=0.5)\n",
|
| 393 |
+
" self.play(Indicate(times_sign_l), run_time=0.5)\n",
|
| 394 |
+
" self.play(*[Indicate(x_element, rate_func=there_and_back) for x_element in x_elements], run_time=0.5)\n",
|
| 395 |
+
" self.wait(1)\n",
|
| 396 |
+
" self.play(FadeOut(explain), group_box_l.animate.set_color(GREY), group_box_l_label.animate.set_color(GREY), run_time=1)\n",
|
| 397 |
+
" self.wait(0.5)\n",
|
| 398 |
+
"\n",
|
| 399 |
+
" # Explain Output\n",
|
| 400 |
+
" explain = Tex(\"$h$\", \" = \", \"Batched Base Computation\", \" + \", \"Batched LoRA Computation\", color=WHITE)\n",
|
| 401 |
+
" explain = explain.set_color_by_tex(\"$h$\", RED).set_color_by_tex('Batched Base Computation', BLUE).set_color_by_tex('Batched LoRA Computation', ORANGE)\n",
|
| 402 |
+
" explain = explain.to_edge(DOWN).shift(explain_shift*DOWN)\n",
|
| 403 |
+
" x_elements = [x1_l, x2_l]\n",
|
| 404 |
+
" l_elements = [l1_rect, l2_rect]\n",
|
| 405 |
+
" self.play(FadeIn(explain),group_box_w.animate.set_color(BLUE), group_box_w_label.animate.set_color(BLUE), group_box_l.animate.set_color(ORANGE), group_box_l_label.animate.set_color(ORANGE), run_time=1)\n",
|
| 406 |
+
" self.play(Indicate(output_rect), run_time=0.5)\n",
|
| 407 |
+
" self.play(Indicate(VGroup(group_box_w, group_box_w_label)), run_time=0.5)\n",
|
| 408 |
+
" self.play(Indicate(plus_sign), run_time=0.5)\n",
|
| 409 |
+
" self.play(Indicate(VGroup(group_box_l, group_box_l_label)), run_time=0.5)\n",
|
| 410 |
+
" self.wait(1)\n",
|
| 411 |
+
" self.play(FadeOut(explain),group_box_w.animate.set_color(GREY), group_box_w_label.animate.set_color(GREY), group_box_l.animate.set_color(GREY), group_box_l_label.animate.set_color(GREY), run_time=1)\n",
|
| 412 |
+
" self.wait(0.5)\n",
|
| 413 |
+
"\n",
|
| 414 |
+
" def create_multiplication_sign(self, position):\n",
|
| 415 |
+
" vertical_line = Line(UP*0.5 + LEFT*0.5, DOWN*0.5 + RIGHT*0.5, stroke_width=12, color=GREY)\n",
|
| 416 |
+
" horizontal_line = Line(UP*0.5 + RIGHT*0.5, DOWN*0.5 + LEFT*0.5, stroke_width=12, color=GREY)\n",
|
| 417 |
+
" times_sign = VGroup(vertical_line, horizontal_line).scale(0.25)\n",
|
| 418 |
+
" times_sign.move_to(position)\n",
|
| 419 |
+
" return times_sign\n",
|
| 420 |
+
"\n",
|
| 421 |
+
" def create_plus_sign(self, position):\n",
|
| 422 |
+
" vertical_line = Line(UP, DOWN, stroke_width=12, color=GREY)\n",
|
| 423 |
+
" horizontal_line = Line(LEFT, RIGHT, stroke_width=12, color=GREY)\n",
|
| 424 |
+
" plus_sign = VGroup(vertical_line, horizontal_line).scale(0.25)\n",
|
| 425 |
+
" plus_sign.move_to(position)\n",
|
| 426 |
+
" return plus_sign\n"
|
| 427 |
+
]
|
| 428 |
+
},
|
| 429 |
+
{
|
| 430 |
+
"cell_type": "code",
|
| 431 |
+
"execution_count": null,
|
| 432 |
+
"id": "afdd5793-1466-4d05-b3e5-e926cf509e9f",
|
| 433 |
+
"metadata": {},
|
| 434 |
+
"outputs": [],
|
| 435 |
+
"source": []
|
| 436 |
+
}
|
| 437 |
+
],
|
| 438 |
+
"metadata": {
|
| 439 |
+
"kernelspec": {
|
| 440 |
+
"display_name": "Python 3 (ipykernel)",
|
| 441 |
+
"language": "python",
|
| 442 |
+
"name": "python3"
|
| 443 |
+
},
|
| 444 |
+
"language_info": {
|
| 445 |
+
"codemirror_mode": {
|
| 446 |
+
"name": "ipython",
|
| 447 |
+
"version": 3
|
| 448 |
+
},
|
| 449 |
+
"file_extension": ".py",
|
| 450 |
+
"mimetype": "text/x-python",
|
| 451 |
+
"name": "python",
|
| 452 |
+
"nbconvert_exporter": "python",
|
| 453 |
+
"pygments_lexer": "ipython3",
|
| 454 |
+
"version": "3.9.5"
|
| 455 |
+
}
|
| 456 |
+
},
|
| 457 |
+
"nbformat": 4,
|
| 458 |
+
"nbformat_minor": 5
|
| 459 |
+
}
|