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  68. State Space Models: A Modern Approach
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  75. State Space Models
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  82. <ul>
  83. <li class="toctree-l2">
  84. <a class="reference internal" href="chapters/ssm/ssm_intro.html">
  85. What are State Space Models?
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  88. <li class="toctree-l2">
  89. <a class="reference internal" href="chapters/ssm/hmm.html">
  90. Hidden Markov Models
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  92. </li>
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  94. <a class="reference internal" href="chapters/ssm/lds.html">
  95. Linear Gaussian SSMs
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  97. </li>
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  99. <a class="reference internal" href="chapters/ssm/nlds.html">
  100. Nonlinear Gaussian SSMs
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  103. <li class="toctree-l2">
  104. <a class="reference internal" href="chapters/ssm/inference.html">
  105. States estimation (inference)
  106. </a>
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  109. <a class="reference internal" href="chapters/ssm/learning.html">
  110. Parameter estimation (learning)
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  114. </li>
  115. <li class="toctree-l1 has-children">
  116. <a class="reference internal" href="chapters/hmm/hmm_index.html">
  117. Hidden Markov Models
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  124. <ul>
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  126. <a class="reference internal" href="chapters/hmm/hmm_filter.html">
  127. HMM filtering (forwards algorithm)
  128. </a>
  129. </li>
  130. <li class="toctree-l2">
  131. <a class="reference internal" href="chapters/hmm/hmm_smoother.html">
  132. HMM smoothing (forwards-backwards algorithm)
  133. </a>
  134. </li>
  135. <li class="toctree-l2">
  136. <a class="reference internal" href="chapters/hmm/hmm_viterbi.html">
  137. Viterbi algorithm
  138. </a>
  139. </li>
  140. <li class="toctree-l2">
  141. <a class="reference internal" href="chapters/hmm/hmm_parallel.html">
  142. Parallel HMM smoothing
  143. </a>
  144. </li>
  145. <li class="toctree-l2">
  146. <a class="reference internal" href="chapters/hmm/hmm_sampling.html">
  147. Forwards-filtering backwards-sampling algorithm
  148. </a>
  149. </li>
  150. </ul>
  151. </li>
  152. <li class="toctree-l1 has-children">
  153. <a class="reference internal" href="chapters/lgssm/lgssm_index.html">
  154. Linear-Gaussian SSMs
  155. </a>
  156. <input class="toctree-checkbox" id="toctree-checkbox-3" name="toctree-checkbox-3" type="checkbox"/>
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  163. <a class="reference internal" href="chapters/lgssm/kalman_filter.html">
  164. Kalman filtering
  165. </a>
  166. </li>
  167. <li class="toctree-l2">
  168. <a class="reference internal" href="chapters/lgssm/kalman_smoother.html">
  169. Kalman (RTS) smoother
  170. </a>
  171. </li>
  172. <li class="toctree-l2">
  173. <a class="reference internal" href="chapters/lgssm/kalman_parallel.html">
  174. Parallel Kalman Smoother
  175. </a>
  176. </li>
  177. <li class="toctree-l2">
  178. <a class="reference internal" href="chapters/lgssm/kalman_sampling.html">
  179. Forwards-filtering backwards sampling
  180. </a>
  181. </li>
  182. </ul>
  183. </li>
  184. <li class="toctree-l1 has-children">
  185. <a class="reference internal" href="chapters/extended/extended_index.html">
  186. Extended (linearized) methods
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  195. <a class="reference internal" href="chapters/extended/extended_filter.html">
  196. Extended Kalman filtering
  197. </a>
  198. </li>
  199. <li class="toctree-l2">
  200. <a class="reference internal" href="chapters/extended/extended_smoother.html">
  201. Extended Kalman smoother
  202. </a>
  203. </li>
  204. <li class="toctree-l2">
  205. <a class="reference internal" href="chapters/extended/extended_parallel.html">
  206. Parallel extended Kalman smoothing
  207. </a>
  208. </li>
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  210. </li>
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  212. <a class="reference internal" href="chapters/unscented/unscented_index.html">
  213. Unscented methods
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  222. <a class="reference internal" href="chapters/unscented/unscented_filter.html">
  223. Unscented filtering
  224. </a>
  225. </li>
  226. <li class="toctree-l2">
  227. <a class="reference internal" href="chapters/unscented/unscented_smoother.html">
  228. Unscented smoothing
  229. </a>
  230. </li>
  231. </ul>
  232. </li>
  233. <li class="toctree-l1">
  234. <a class="reference internal" href="chapters/quadrature/quadrature_index.html">
  235. Quadrature and cubature methods
  236. </a>
  237. </li>
  238. <li class="toctree-l1">
  239. <a class="reference internal" href="chapters/postlin/postlin_index.html">
  240. Posterior linearization
  241. </a>
  242. </li>
  243. <li class="toctree-l1">
  244. <a class="reference internal" href="chapters/adf/adf_index.html">
  245. Assumed Density Filtering
  246. </a>
  247. </li>
  248. <li class="toctree-l1">
  249. <a class="reference internal" href="chapters/vi/vi_index.html">
  250. Variational inference
  251. </a>
  252. </li>
  253. <li class="toctree-l1">
  254. <a class="reference internal" href="chapters/pf/pf_index.html">
  255. Particle filtering
  256. </a>
  257. </li>
  258. <li class="toctree-l1">
  259. <a class="reference internal" href="chapters/smc/smc_index.html">
  260. Sequential Monte Carlo
  261. </a>
  262. </li>
  263. <li class="toctree-l1">
  264. <a class="reference internal" href="chapters/learning/learning_index.html">
  265. Offline parameter estimation (learning)
  266. </a>
  267. </li>
  268. <li class="toctree-l1">
  269. <a class="reference internal" href="chapters/tracking/tracking_index.html">
  270. Multi-target tracking
  271. </a>
  272. </li>
  273. <li class="toctree-l1">
  274. <a class="reference internal" href="chapters/ensemble/ensemble_index.html">
  275. Data assimilation using Ensemble Kalman filter
  276. </a>
  277. </li>
  278. <li class="toctree-l1">
  279. <a class="reference internal" href="chapters/bnp/bnp_index.html">
  280. Bayesian non-parametric SSMs
  281. </a>
  282. </li>
  283. <li class="toctree-l1">
  284. <a class="reference internal" href="chapters/changepoint/changepoint_index.html">
  285. Changepoint detection
  286. </a>
  287. </li>
  288. <li class="toctree-l1">
  289. <a class="reference internal" href="chapters/timeseries/timeseries_index.html">
  290. Timeseries forecasting
  291. </a>
  292. </li>
  293. <li class="toctree-l1">
  294. <a class="reference internal" href="chapters/gp/gp_index.html">
  295. Markovian Gaussian processes
  296. </a>
  297. </li>
  298. <li class="toctree-l1">
  299. <a class="reference internal" href="chapters/ode/ode_index.html">
  300. Differential equations and SSMs
  301. </a>
  302. </li>
  303. <li class="toctree-l1">
  304. <a class="reference internal" href="chapters/control/control_index.html">
  305. Optimal control
  306. </a>
  307. </li>
  308. <li class="toctree-l1">
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  310. Bibliography
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