The decoding problem can be stated as follows: Given an HMM and a sequence of
observation symbols V1:T determine the most likely sequence of hidden states w1:T .What are the other two types of problems considered in the context of HMMs?
The other two types of problem considered in HMM is evaluation problem and another is learning problem.
In evaluation problem , we check what is the probability of particular observation to be generated, given the probabilistic parameters of HMM.
In learning problem, we train the HMM and learn the probabilistic parameters of HMM based on the observation , which maximize the probability of particular observation to occur.
Please comment for any clarification.
The decoding problem can be stated as follows: Given an HMM and a sequence of observation...
The decoding problem can be stated as follows: Given an HMM and a sequence of observation symbols V1:T determine the most likely sequence of hidden states w1:T .What are the other two types of problems considered in the context of HMMs?
4. [20 Points We first examine a sequence of rolls of a four-sided die at an the observed outcome Xi E {1,2,3,4}. At each of these times, the casino can be in one of two states z E1, 2}. When z = 1 the casino uses a fair die, while when z = 2 the die is biased so that rolling a 1 is more simple hidden Markov model (HMM). We observe a "occasionally dishonest casino", where at time likely....
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there a truth assignment for the variables such that each clause has at least one true literal and at least one false literal? The NOT-ALL-EQUAL 3SAT problem is NP-complete. This question is about trying to reduce the NOT-ALL-EQUAL 3SAT problem to the MAX-CUT problem defined below to show the latter to be NP-complete. A cut in an undirected graph G=(V.E) is a partitioning of the...
The missionaries and cannibal's problem is usually stated as follows. Three missionaries and three cannibals are on one side of a river, along with a boat that can hold one or two people. Find a way to get everyone to the other side without ever leaving a group of missionaries in one place outnumbered by the cannibals in that place. This problem is famous in AI because it was the subject of the first paper that approached problem formulation from...
I just need some help with question part
c.
We first examine a simple hidden Markov model (HMM). We observe a sequence of rolls of a four-sided die at an "occasionally dishonest casino", where at time t the observed outcome x E {1, 2, 3,4}. At each of these times, the casino can be in one of two states zi E {1, 2}. When z,= 1 the casino uses a fair die, while when z,- 2 the die is biased...
If anyone can help understand how i solve this Batmanacci The Fibonacci sequence can be defined as follows: fib1fib2fibn=1=1=fibn−2+fibn−1fib1=1fib2=1fibn=fibn−2+fibn−1 We get the sequence 1,1,2,3,5,8,13,21,…1,1,2,3,5,8,13,21,…. But there are many generalizations of the Fibonacci sequence. One of them is to start with other numbers, like: f1f2fn=5=4=fn−2+fn−1f1=5f2=4fn=fn−2+fn−1 And we get the sequence 5,4,9,13,22,35,57,…5,4,9,13,22,35,57,…. But what if we start with something other than numbers? Let us define the Batmanacci sequence in the following manner: s1s2sn=N=A=sn−2+sn−1s1=Ns2=Asn=sn−2+sn−1 where ++ is string concatenation. Now we get the...
Consider n indivisible objects with distinct types i = 1, 2, 3,…, n. We are given positive integer weights W = {w1,w2...wn} and positive integer prices V = {v1,v2...vn} for the objects and a knapsack of weight capacity (m). Our problem is to find the maximum profit possible by including a subset of the objects into the knapsack with total weight of at most m. This form of the 0/1 Knapsack Problem can be solved by a Decrease and Conquer...
6. The formula dS = dQ/T makes it look like a system can only increase its entropy by absorbing heat. You must however remember that this equation is only true for reversible processes. Entropy can change for a system without absorbing any heat. Consider the following scenario. You are given an insulated container with two compartments. The whole container is at the temperature T which remains constant. One compartment has a volume V1 and has n1 moles of an ideal...
Some dietitians have suggested that highly acidic diets can have an adverse affect on bone density in humans. Alkaline diets have been marketed to avoid or counteract this effect. Veterinary researchers wondered if the same thing true for cats, and whether an alkaline diet might be beneficial. Two groups of 4 cats each were fed diets for 12 months that differed only in acidifying or alkalinizing properties. The bone mineral density (g/cm2) of each cat was measured at the end...
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A3: This question illustrates how different bases for spaces of polynomials can help solv- ing mathematical problems. In particular, we look at the use of Lagrange polynomials for polynomial interpolation. Let be the space of polynomials of degree at most two. (a) We define the mapping T: P2R3 by evaluating a given polynomial f i.e P2 at 12,, T(f) = f(2) f(3) Show that this is a linear transformation. (b) Consider the bases B b, b2, bs1,t, and G9929s),...