Fix minor typo in LAD notebook

mobook · Aug 19, 2024 · e159073 · e159073
1 parent 3e06d8b
commit e159073
Showing 1 changed file with 8 additions and 3 deletions.
diff --git a/notebooks/02/02-lad-regression.ipynb b/notebooks/02/02-lad-regression.ipynb
@@ -181,7 +181,10 @@
     "$$\n",
     "\\begin{align}\n",
     "    \\min \\quad & \\sum_{i=1}^n |e_i| \\\\\n",
-    "    \\text{s.t.} \\quad & e_i = y^{(i)} - {m}^\\top {X}^{(i)} - b & \\forall\\, i=1,\\dots,n.\n",
+    "    \\text{s.t.} \\quad & e_i = y^{(i)} - {m}^\\top {X}^{(i)} - b & \\forall\\, i=1,\\dots,n,\\\\\n",
+    "    & e_i \\in \\mathbb{R} & \\forall\\, i=1,\\dots,n,\\\\\n",
+    "    & m_j \\in \\mathbb{R} & \\forall\\, j=1,\\dots,k,\\\\\n",
+    "    & b \\in \\mathbb{R}.\n",
     "\\end{align}\n",
     "$$\n",
     "\n",
@@ -190,8 +193,10 @@
     "$$\n",
     "\\begin{align}\n",
     "    \\min \\quad & \\sum_{i=1}^n ( e_i^+ + e_i^-) \\\\\n",
-    "    \\text{s.t.} \\quad & e_i^+ - e_i^- = y^{(i)} - {m}^\\top {X}^{(i)}-b & \\forall\\, i=1, \\dots, n \\\\\n",
-    "    & e_i^+, e_i^- \\geq 0 & \\forall\\, i=1, \\dots, n\n",
+    "    \\text{s.t.} \\quad & e_i^+ - e_i^- = y^{(i)} - {m}^\\top {X}^{(i)}-b & \\forall\\, i=1, \\dots, n,\\\\\n",
+    "    & e_i^+, e_i^- \\geq 0 & \\forall\\, i=1, \\dots, n,\\\\\n",
+    "    & m_j \\in \\mathbb{R} & \\forall\\, j=1,\\dots,k,\\\\\n",
+    "    & b \\in \\mathbb{R}.\n",
     "\\end{align}\n",
     "$$\n",
     "\n",