The Beard Sage

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Chomsky Normal Form

posted in Theoretical Computer Science on March 13, 2020 by TheBeard 0 Comments

This article explores a step-by-step approach to convert any context-free grammar to a context-free grammar in Chomsky Normal Form.

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Maximum Likelihood Estimation – finding the best Parametric Model

posted in Machine Learning on March 12, 2020 by TheBeard 0 Comments

An intuitive explanation of what likelihood is and how maximizing it gives the best parametric model that fits the data. Few examples are also worked out in detail

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Virtual Memory related Terminology

posted in Computer Architecture on March 11, 2020 by TheBeard 0 Comments

A list of definitions of Virtual Memory related terminology

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Regular Grammars

posted in Theoretical Computer Science on March 10, 2020 by TheBeard 0 Comments

This article discusses the concept of Regular Grammars and their equivalence with NFAs. Conversion examples included.

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Gradient Descent for a Single Artificial Neuron

posted in Machine Learning on March 9, 2020 by TheBeard 0 Comments

This article explore the derivation of the gradient descent algorithm for a single artificial neuron for the logistic activation function. Few properties of the logistic function are also discussed.

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Multiple Issue Processors

posted in Computer Architecture on March 8, 2020 by TheBeard 0 Comments

An thorough overview and comparision of Static and Dynamically scheduled superscalar processors.

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Context-Free Grammar – Formal Definition and Observations

posted in Theoretical Computer Science on March 7, 2020 by TheBeard 0 Comments

A short primer on the formal definition of a context-free grammar followed by few observations.

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Primer on Lambda Calculus

posted in Machine Learning on March 6, 2020 by TheBeard 0 Comments

The basic concepts of Lambda Calculus are discussed including functions, applications, the scope of free and bound variables and the order of evaluation. Few examples are worked out.

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Hidden Markov Models Training – The Forward-Backward Algorithm

posted in Machine Learning on March 5, 2020 by TheBeard 0 Comments

This article discusses the problem of learning the HMM parameters given an observation sequence and the set of possible states. The concept of backward Probability is defined and an iterative algorithm for learning is presented. Derivations and diagrams are sketched out.

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Proving a Language is not Regular using the Pumping Lemma – String Choices

posted in Theoretical Computer Science on March 4, 2020 by TheBeard 0 Comments

This article explores a step by step approach to prove that a language is not regular by using a combination of Closure Properties and the Pumping Lemma.

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