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Update Particle-Filtering.md
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md/Particle-Filtering.md

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## AIMA3e
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__function__ PARTICLE-FILTERING(__e__, _N_, _dbn_) __returns__ a set of samples for the next time step
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 __inputs__: __e__, the new incoming evidence
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      _N_, the number of samples to be maintained
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;_dbn_, a DBN with prior __P__(__X<sub>0</sub>__), transition model __P__(__X<sub>1</sub>__ &vert; __X<sub>0</sub>__), sensor model __P__(__E<sub>1</sub>__ &vert; __X<sub>1</sub>__)
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&emsp;__inputs__: __e__, the new incoming evidence
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&emsp;&emsp;&emsp;&emsp;&emsp;_N_, the number of samples to be maintained
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&emsp;&emsp;&emsp;&emsp;&emsp;_dbn_, a DBN with prior __P__(__X<sub>0</sub>__), transition model __P__(__X<sub>1</sub>__ &vert; __X<sub>0</sub>__), sensor model __P__(__E<sub>1</sub>__ &vert; __X<sub>1</sub>__)
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&emsp;__persistent__: _S_, a vector of samples of size _N_, initially generated from __P__(__X<sub>0</sub>__)
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&emsp;__local variables__: _W_, a vector of weights of size _N_
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