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Fix typos. #2

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Fix typos. #2

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4 changes: 2 additions & 2 deletions chapters/hmm/hmm_filter.ipynb
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Expand Up @@ -141,7 +141,7 @@
"source": [
"\n",
"Since all the quantities are finite length vectors and matrices,\n",
"we can implement the whole procedure using matrix vector multoplication:\n",
"we can implement the whole procedure using matrix vector multiplication:\n",
"```{math}\n",
":label: eqn:fwdsAlgoMatrixForm\n",
"\\valpha_t =\\text{normalize}\\left(\n",
Expand Down Expand Up @@ -278,7 +278,7 @@
"\n",
"In practice it is more numerically stable to compute\n",
"the log likelihoods $\\ell_t(j) = \\log p(\\obs_t|\\hidden_t=j)$,\n",
"rather than the likelioods $\\lambda_t(j) = p(\\obs_t|\\hidden_t=j)$.\n",
"rather than the likelihoods $\\lambda_t(j) = p(\\obs_t|\\hidden_t=j)$.\n",
"In this case, we can perform the posterior updating in a numerically stable way as follows.\n",
"Define $L_t = \\max_j \\ell_t(j)$ and\n",
"\\begin{align}\n",
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4 changes: 2 additions & 2 deletions chapters/ssm/hmm.ipynb
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Expand Up @@ -80,7 +80,7 @@
"### Example: Casino HMM\n",
"\n",
"To illustrate HMMs with categorical observation model,\n",
"we consider the \"Ocassionally dishonest casino\" model from {cite}`Durbin98`.\n",
"we consider the \"Occasionally dishonest casino\" model from {cite}`Durbin98`.\n",
"There are 2 hidden states, representing whether the dice being used in the casino is fair or loaded.\n",
"Each state defines a distribution over the 6 possible observations.\n",
"\n",
Expand Down Expand Up @@ -241,7 +241,7 @@
"Let us check correctness by computing empirical pairwise statistics\n",
"\n",
"We will compute the number of i->j latent state transitions, and check that it is close to the true \n",
"A[i,j] transition probabilites."
"A[i,j] transition probabilities."
]
},
{
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