Learning Path
Question & Answer
Choose the Best Answer
Calculate the exponentials of the input values → B. Sum the exponentials → C. Take the logarithm of the sum → D. Use the result to determine the class probabilities
Sum the exponentials → A. Calculate the exponentials of the input values → C. Take the logarithm of the sum → D. Use the result to determine the class probabilities
Take the logarithm of the sum → A. Calculate the exponentials of the input values → B. Sum the exponentials → D. Use the result to determine the class probabilities
Use the result to determine the class probabilities → A. Calculate the exponentials of the input values → B. Sum the exponentials → C. Take the logarithm of the sum
Understanding the Answer
Let's break down why this is correct
First, compute the exponentials of the input values to make all numbers positive. Other options are incorrect because This option adds exponentials before they are calculated, which is impossible; Taking the logarithm first skips the crucial step of turning numbers into positives.
Key Concepts
Log-sum-exp Function
easy level question
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Deep Dive: Log-sum-exp Function
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Definition
The log-sum-exp function is a convex and differentiable approximation to the max function, commonly used in optimization and machine learning algorithms. It provides a smooth representation of the maximum value among a set of numbers.
Topic Definition
The log-sum-exp function is a convex and differentiable approximation to the max function, commonly used in optimization and machine learning algorithms. It provides a smooth representation of the maximum value among a set of numbers.
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