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Maximum value
Convex function
Differentiable function
Discontinuous function
Understanding the Answer
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The log-sum-exp function gives a rounded, smooth version of the largest number in a set. Other options are incorrect because People sometimes think the analogy is about shape, but the key point is approximation, not convexity; Smoothness does not mean the function is the same as the max function.
Key Concepts
Log-sum-exp Function
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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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