digraph beard {"" -> "A" [label="0.100"];
"" -> "Given" [label="0.300"];
"" -> "Consider" [label="0.100"];
"" -> "For" [label="0.100"];
"" -> "There" [label="0.100"];
"" -> "Alice" [label="0.200"];
"" -> "." [label="0.100"];
"shop" -> "or" [label="1.000"];
"all" -> "possible" [label="1.000"];
"Based" -> "on" [label="1.000"];
"they" -> "did" [label="0.500"];
"they" -> "are" [label="0.500"];
"chain" -> "There" [label="1.000"];
"over" -> "all" [label="0.667"];
"over" -> "the" [label="0.333"];
"dynamic" -> "programmin" [label="1.000"];
"What" -> "is" [label="1.000"];
"area" -> "and" [label="1.000"];
"accepting" -> "the" [label="1.000"];
"statistical" -> "significance" [label="1.000"];
"find" -> "the" [label="1.000"];
"derive" -> "the" [label="1.000"];
"system" -> "is" [label="1.000"];
"parameters" -> "of" [label="1.000"];
"daily" -> "over" [label="1.000"];
"solving" -> "this" [label="1.000"];
"written" -> "down" [label="1.000"];
"exclusively" -> "by" [label="1.000"];
"to" -> "evaluate" [label="0.200"];
"to" -> "guess" [label="0.200"];
"to" -> "have" [label="0.200"];
"to" -> "do" [label="0.400"];
"only" -> "interested" [label="1.000"];
"interested" -> "in" [label="1.000"];
"those" -> "are" [label="1.000"];
"relevance" -> "of" [label="1.000"];
"hidden" -> "Markov" [label="0.500"];
"hidden" -> "from" [label="0.500"];
"has" -> "no" [label="1.000"];
"local" -> "maximum" [label="1.000"];
"activities" -> "walking" [label="0.333"];
"activities" -> "those" [label="0.333"];
"activities" -> "depending" [label="0.333"];
"them" -> "directly" [label="1.000"];
"his" -> "activities" [label="0.500"];
"his" -> "apartment" [label="0.500"];
"They" -> "can" [label="1.000"];
"Bob" -> "is" [label="0.143"];
"Bob" -> "who" [label="0.143"];
"Bob" -> "will" [label="0.143"];
"Bob" -> "lives" [label="0.143"];
"Bob" -> "likes" [label="0.143"];
"Bob" -> "tells" [label="0.286"];
"evaluate" -> "the" [label="1.000"];
"possible" -> "state" [label="1.000"];
"choice" -> "of" [label="1.000"];
"cannot" -> "observe" [label="1.000"];
"words" -> "the" [label="0.500"];
"words" -> "derive" [label="0.500"];
"using" -> "the" [label="1.000"];
"one" -> "of" [label="0.500"];
"one" -> "can" [label="0.500"];
"day" -> "Bob" [label="0.250"];
"day" -> "there" [label="0.250"];
"day" -> "Alice" [label="0.500"];
"apart" -> "from" [label="1.000"];
"entire" -> "system" [label="1.000"];
"did" -> "that" [label="0.500"];
"did" -> "each" [label="0.500"];
"large" -> "as" [label="1.000"];
"solved" -> "efficiently" [label="1.000"];
"either" -> "of" [label="1.000"];
"each" -> "other" [label="0.333"];
"each" -> "day" [label="0.667"];
"output" -> "probabilities" [label="0.111"];
"output" -> "sequenc" [label="0.111"];
"output" -> "sequence" [label="0.667"];
"output" -> "sequences" [label="0.111"];
"where" -> "Bob" [label="1.000"];
"likes" -> "to" [label="1.000"];
"Rainy" -> "and" [label="1.000"];
"set" -> "of" [label="1.000"];
"For" -> "either" [label="1.000"];
"sequence" -> "probability" [label="0.111"];
"sequence" -> "that" [label="0.111"];
"sequence" -> "This" [label="0.222"];
"sequence" -> "When" [label="0.111"];
"sequence" -> "or" [label="0.111"];
"sequence" -> "drawn" [label="0.111"];
"sequence" -> "the" [label="0.111"];
"sequence" -> "find" [label="0.111"];
"Since" -> "Bob" [label="1.000"];
"some" -> "null" [label="1.000"];
"operates" -> "as" [label="1.000"];
"likely" -> "to" [label="0.500"];
"likely" -> "set" [label="0.500"];
"are" -> "known" [label="0.200"];
"are" -> "the" [label="0.200"];
"are" -> "hidden" [label="0.200"];
"are" -> "two" [label="0.200"];
"are" -> "three" [label="0.200"];
"HM" -> "." [label="1.000"];
"believes" -> "that" [label="1.000"];
"special" -> "case" [label="1.000"];
"canonical" -> "problems" [label="1.000"];
"what" -> "to" [label="0.200"];
"what" -> "Bob" [label="0.400"];
"what" -> "the" [label="0.200"];
"what" -> "they" [label="0.200"];
"for" -> "a" [label="0.333"];
"for" -> "the" [label="0.333"];
"for" -> "solving" [label="0.333"];
"discrete" -> "Markov" [label="1.000"];
"cleaning" -> "his" [label="1.000"];
"definite" -> "information" [label="1.000"];
"HMM" -> "given" [label="0.200"];
"HMM" -> "." [label="0.200"];
"HMM" -> "are" [label="0.200"];
"HMM" -> "is" [label="0.200"];
"HMM" -> "probability" [label="0.200"];
"state" -> "sequences" [label="0.400"];
"state" -> "transition" [label="0.200"];
"state" -> "sequence" [label="0.400"];
"On" -> "each" [label="1.000"];
"drawn" -> "from" [label="1.000"];
"she" -> "cannot" [label="0.500"];
"she" -> "knows" [label="0.500"];
"be" -> "solved" [label="0.250"];
"be" -> "written" [label="0.250"];
"be" -> "derived" [label="0.250"];
"be" -> "done" [label="0.250"];
"Expectationmaximization" -> "algorith" [label="1.000"];
"This" -> "requires" [label="1.000"];
"problems" -> "associated" [label="0.500"];
"problems" -> "one" [label="0.500"];
"Viterbi" -> "algorith" [label="0.500"];
"Viterbi" -> "algorithm" [label="0.500"];
"guess" -> "what" [label="1.000"];
"walking" -> "in" [label="1.000"];
"apartment" -> "The" [label="1.000"];
"hypothesis" -> "for" [label="1.000"];
"trends" -> "Based" [label="0.500"];
"trends" -> "in" [label="0.500"];
"ask" -> "about" [label="1.000"];
"BaldiChauvin" -> "algorithm" [label="1.000"];
"likelihood" -> "estimate" [label="0.500"];
"likelihood" -> "can" [label="0.500"];
"by" -> "the" [label="1.000"];
"on" -> "a" [label="0.250"];
"on" -> "the" [label="0.250"];
"on" -> "average" [label="0.250"];
"on" -> "what" [label="0.250"];
"about" -> "what" [label="0.250"];
"about" -> "his" [label="0.250"];
"about" -> "the" [label="0.250"];
"about" -> "statistical" [label="0.250"];
"language" -> "." [label="1.000"];
"tractable" -> "algorithm" [label="1.000"];
"of" -> "a" [label="0.250"];
"of" -> "what" [label="0.050"];
"of" -> "dynamic" [label="0.050"];
"of" -> "state" [label="0.050"];
"of" -> "such" [label="0.050"];
"of" -> "output" [label="0.050"];
"of" -> "the" [label="0.500"];
"transition" -> "and" [label="1.000"];
"programming" -> "language" [label="1.000"];
"tries" -> "to" [label="1.000"];
"Markov" -> "model" [label="0.500"];
"Markov" -> "chain" [label="0.500"];
"must" -> "have" [label="1.000"];
"or" -> "a" [label="0.500"];
"or" -> "the" [label="0.250"];
"or" -> "clean" [label="0.250"];
"first" -> "two" [label="1.000"];
"Given" -> "the" [label="0.667"];
"Given" -> "an" [label="0.333"];
"probability" -> "of" [label="0.250"];
"probability" -> "that" [label="0.250"];
"probability" -> "in" [label="0.500"];
"No" -> "tractable" [label="1.000"];
"There" -> "are" [label="1.000"];
"When" -> "an" [label="1.000"];
"dataset" -> "of" [label="1.000"];
"down" -> "in" [label="1.000"];
"weather" -> "on" [label="0.167"];
"weather" -> "operates" [label="0.167"];
"weather" -> "trends" [label="0.167"];
"weather" -> "walk" [label="0.167"];
"weather" -> "where" [label="0.167"];
"weather" -> "must" [label="0.167"];
"done" -> "efficiently" [label="1.000"];
"been" -> "lik" [label="1.000"];
"directly" -> "that" [label="1.000"];
"sequences" -> "find" [label="0.250"];
"sequences" -> "but" [label="0.500"];
"sequences" -> "No" [label="0.250"];
"summation" -> "over" [label="1.000"];
"false" -> "positive" [label="1.000"];
"estimate" -> "of" [label="1.000"];
"given" -> "a" [label="0.500"];
"given" -> "day" [label="0.500"];
"from" -> "some" [label="0.333"];
"from" -> "her" [label="0.333"];
"from" -> "each" [label="0.333"];
"her" -> "On" [label="0.500"];
"her" -> "he" [label="0.500"];
"similarly" -> "be" [label="1.000"];
"probabilities" -> "In" [label="1.000"];
"positive" -> "rate" [label="1.000"];
"there" -> "is" [label="1.000"];
"Sunny" -> "but" [label="1.000"];
"three" -> "activities" [label="0.500"];
"three" -> "canonical" [label="0.500"];
"least" -> "as" [label="1.000"];
"live" -> "far" [label="1.000"];
"observations" -> "The" [label="1.000"];
"forward" -> "algorithm" [label="1.000"];
"programmin" -> "." [label="1.000"];
"shopping" -> "and" [label="1.000"];
"knows" -> "the" [label="0.500"];
"knows" -> "general" [label="0.500"];
"form" -> "of" [label="1.000"];
"that" -> "a" [label="0.111"];
"that" -> "of" [label="0.222"];
"that" -> "is" [label="0.222"];
"that" -> "day" [label="0.111"];
"that" -> "output" [label="0.111"];
"that" -> "Bob" [label="0.111"];
"that" -> "the" [label="0.111"];
"exactly" -> "but" [label="1.000"];
"park" -> "shopping" [label="1.000"];
"distribution" -> "will" [label="1.000"];
"but" -> "a" [label="0.200"];
"but" -> "can" [label="0.400"];
"but" -> "she" [label="0.400"];
"observe" -> "them" [label="1.000"];
"lives" -> "but" [label="1.000"];
"particular" -> "output" [label="1.000"];
"known" -> "for" [label="0.500"];
"known" -> "They" [label="0.500"];
"general" -> "trends" [label="0.500"];
"general" -> "weather" [label="0.500"];
"with" -> "HMM" [label="0.500"];
"with" -> "accepting" [label="0.500"];
"algorith" -> "." [label="1.000"];
"he" -> "did" [label="1.000"];
"case" -> "of" [label="1.000"];
"compute" -> "the" [label="1.000"];
"Consider" -> "two" [label="1.000"];
"this" -> "problem" [label="1.000"];
"rate" -> "associated" [label="1.000"];
"maximum" -> "over" [label="0.250"];
"maximum" -> "likelihood" [label="0.500"];
"maximum" -> "state" [label="0.250"];
"BaumWelch" -> "algorithm" [label="1.000"];
"will" -> "perform" [label="0.500"];
"will" -> "have" [label="0.500"];
"determined" -> "exclusively" [label="1.000"];
"can" -> "be" [label="0.600"];
"can" -> "additionally" [label="0.200"];
"can" -> "similarly" [label="0.200"];
"following" -> "activities" [label="1.000"];
"problem" -> "exactly" [label="1.000"];
"forwardbackward" -> "algorithm" [label="1.000"];
"example" -> "of" [label="0.500"];
"example" -> "." [label="0.500"];
"and" -> "a" [label="0.125"];
"and" -> "what" [label="0.125"];
"and" -> "is" [label="0.125"];
"and" -> "who" [label="0.125"];
"and" -> "Sunny" [label="0.125"];
"and" -> "cleaning" [label="0.125"];
"and" -> "output" [label="0.125"];
"and" -> "Bob" [label="0.125"];
"associated" -> "with" [label="1.000"];
"do" -> "on" [label="0.500"];
"do" -> "is" [label="0.500"];
"certain" -> "chance" [label="1.000"];
"is" -> "a" [label="0.250"];
"is" -> "used" [label="0.083"];
"is" -> "that" [label="0.083"];
"is" -> "an" [label="0.083"];
"is" -> "most" [label="0.083"];
"is" -> "only" [label="0.083"];
"is" -> "determined" [label="0.083"];
"is" -> "they" [label="0.083"];
"is" -> "known" [label="0.083"];
"is" -> "the" [label="0.083"];
"telephone" -> "about" [label="1.000"];
"an" -> "output" [label="0.250"];
"an" -> "example" [label="0.250"];
"an" -> "HMM" [label="0.500"];
"states" -> "Rainy" [label="1.000"];
"indicates" -> "the" [label="1.000"];
"as" -> "large" [label="0.333"];
"as" -> "a" [label="0.333"];
"as" -> "that" [label="0.333"];
"at" -> "least" [label="1.000"];
"have" -> "generated" [label="0.333"];
"have" -> "been" [label="0.333"];
"have" -> "an" [label="0.333"];
"in" -> "the" [label="0.833"];
"in" -> "three" [label="0.167"];
"null" -> "distribution" [label="1.000"];
"tells" -> "Alice" [label="0.500"];
"tells" -> "her" [label="0.500"];
"chance" -> "that" [label="1.000"];
"information" -> "about" [label="1.000"];
"no" -> "definite" [label="1.000"];
"perform" -> "one" [label="1.000"];
"lik" -> "." [label="1.000"];
"walk" -> "shop" [label="1.000"];
"far" -> "apart" [label="1.000"];
"other" -> "and" [label="0.333"];
"other" -> "words" [label="0.667"];
"which" -> "is" [label="1.000"];
"significance" -> "indicates" [label="0.500"];
"significance" -> "What" [label="0.500"];
"finding" -> "a" [label="1.000"];
"A" -> "concrete" [label="1.000"];
"used" -> "to" [label="1.000"];
"sequenc" -> "." [label="1.000"];
"who" -> "live" [label="0.500"];
"who" -> "talk" [label="0.500"];
"derived" -> "efficiently" [label="1.000"];
"Alice" -> "and" [label="0.167"];
"Alice" -> "about" [label="0.167"];
"Alice" -> "knows" [label="0.167"];
"Alice" -> "believes" [label="0.167"];
"Alice" -> "tries" [label="0.167"];
"Alice" -> "has" [label="0.167"];
"most" -> "likely" [label="1.000"];
"generated" -> "that" [label="1.000"];
"two" -> "states" [label="0.333"];
"two" -> "problems" [label="0.333"];
"two" -> "friends" [label="0.333"];
"additionally" -> "ask" [label="1.000"];
"such" -> "sequences" [label="1.000"];
"The" -> "entire" [label="0.333"];
"The" -> "BaumWelch" [label="0.333"];
"The" -> "choice" [label="0.333"];
"friends" -> "Alice" [label="1.000"];
"the" -> "false" [label="0.025"];
"the" -> "probability" [label="0.050"];
"the" -> "telephone" [label="0.025"];
"the" -> "general" [label="0.025"];
"the" -> "weather" [label="0.125"];
"the" -> "statistical" [label="0.025"];
"the" -> "parameters" [label="0.100"];
"the" -> "area" [label="0.025"];
"the" -> "Python" [label="0.025"];
"the" -> "HMM" [label="0.050"];
"the" -> "state" [label="0.025"];
"the" -> "observations" [label="0.025"];
"the" -> "forward" [label="0.050"];
"the" -> "Expectationmaximization" [label="0.025"];
"the" -> "relevance" [label="0.025"];
"the" -> "Viterbi" [label="0.050"];
"the" -> "park" [label="0.025"];
"the" -> "most" [label="0.025"];
"the" -> "hypothesis" [label="0.025"];
"the" -> "BaldiChauvin" [label="0.025"];
"the" -> "case" [label="0.050"];
"the" -> "maximum" [label="0.025"];
"the" -> "BaumWelch" [label="0.025"];
"the" -> "following" [label="0.025"];
"the" -> "output" [label="0.025"];
"the" -> "model" [label="0.050"];
"the" -> "first" [label="0.025"];
"efficiently" -> "using" [label="0.667"];
"efficiently" -> "by" [label="0.333"];
"a" -> "given" [label="0.056"];
"a" -> "set" [label="0.056"];
"a" -> "form" [label="0.056"];
"a" -> "sequence" [label="0.056"];
"a" -> "certain" [label="0.056"];
"a" -> "maximum" [label="0.111"];
"a" -> "dataset" [label="0.056"];
"a" -> "discrete" [label="0.056"];
"a" -> "hypothesis" [label="0.056"];
"a" -> "particular" [label="0.222"];
"a" -> "hidden" [label="0.056"];
"a" -> "forwardbackward" [label="0.056"];
"a" -> "local" [label="0.056"];
"a" -> "special" [label="0.056"];
"Python" -> "programming" [label="1.000"];
"algorithm" -> "and" [label="0.125"];
"algorithm" -> "is" [label="0.250"];
"algorithm" -> "at" [label="0.125"];
"algorithm" -> "which" [label="0.125"];
"algorithm" -> "The" [label="0.125"];
"algorithm" -> "or" [label="0.250"];
"average" -> "In" [label="1.000"];
"depending" -> "on" [label="1.000"];
"together" -> "daily" [label="1.000"];
"concrete" -> "example" [label="1.000"];
"clean" -> "Since" [label="1.000"];
"In" -> "other" [label="1.000"];
"model" -> "and" [label="0.333"];
"model" -> "compute" [label="0.333"];
"model" -> "HM" [label="0.333"];
"requires" -> "summation" [label="0.500"];
"requires" -> "finding" [label="0.500"];
"talk" -> "together" [label="1.000"];
}