Question:

\(\underline{\hspace{1cm}}\) is the process of computing the distribution over past states given evidence up to the present.

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Smoothing is commonly used in time series models and hidden Markov models to estimate past states.
Updated On: Sep 25, 2025
  • Smoothing
  • Normalization
  • Clustering
  • Alpha Normalization
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the process.
Smoothing is a technique used in probabilistic models where the goal is to compute the distribution over past states given all evidence up to the present. This is commonly used in Hidden Markov Models (HMMs).

Step 2: Analysis of options.
- (A) Smoothing: Correct, smoothing refers to the process of estimating the past state distribution given evidence.
- (B) Normalization: Incorrect, normalization is used to ensure probabilities sum to 1 but doesn't refer to the process described here.
- (C) Clustering: Incorrect, clustering is a technique for grouping data, not for computing state distributions.
- (D) Alpha Normalization: Incorrect, alpha normalization is related to scaling factors, but it is not the process of computing state distributions.

Step 3: Conclusion.
The correct answer is (A) Smoothing.

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