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minor lecture edits
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Jacob Abernethy committed Nov 22, 2016
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7 changes: 4 additions & 3 deletions handsOn_lecture18_gmm-hmm/handsOn_lecture18_gmm-hmm.ipynb
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}
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"source": [
"# EECS 545: Machine Learning\n",
"# EECS 445: Machine Learning\n",
"\n",
"## Lecture 18: Inference & Applications of PGMs\n",
"## Lecture 19: Baum-Welch Algorithm, and Inference in PGMs\n",
"\n",
"- Instructor: **Jacob Abernethy**\n",
"- Date: March 23, 2016\n",
"- Date: November 21, 2016\n",
"\n",
"*Lecture Exposition:* Benjamin Bray"
]
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"$$\n",
"\\begin{align}\n",
"\\log p(z_1 | \\pi)\n",
" &= \\sum_{j=1}^N \\mathbb{I}(z_t=j) \\log \\pi_j \\\\\n",
" &= \\sum_{j=1}^N \\mathbb{I}(z_1=j) \\log \\pi_j \\\\\n",
"\\log p(z_t | z_{t-1}, A)\n",
" &= \\sum_{i=1}^N \\sum_{j=1}^N \n",
" \\mathbb{I}(z_{t-1}=i)\\mathbb{I}(z_t=j) \\log A_{ij} \\\\\n",
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