Mathematics, 24.02.2020 17:18 daedae11142

Consider the function which maps a vector to its maximum entry, ↦ maxᵢ ᵢ. While this function is non-smooth, a common trick in machine learning is to use a smooth approximation, LogSumExp, defined as follows.
LSE : R" → R, LSE(x) = ln » R, LSE(P) = ln [ (i=1) Σ eˣᶦ]
One of the nice properties of this function is that it is convex, which can be proved by showing its Hessian matrix is positive semidefinite.
To that end, compute its gradient and Hessian.

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 19:30

Acylinder with a base diameter of x units has a volume of jxcubic units which statements about the cylinder are true? check all that apply. the radius of the cylinder is 2 x units. the radius of the cylinder is 2x units. the area of the cylinder's base is 200 square units. the area of the cylinder's base is a square units. the height of the cylinder is 2x units. the height of the cylinder is 4x units. mark this and return save and exit next submit

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

Atown has a population of 17000 and grows at 2.5% every year. to the nearest year, how long will it be until the population will reach 19600?

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

The ideal weight of a nickel is 0.176 ounce. to check that there are 40 nickels in a roll, a bank weighs the roll and allows for an error of 0.015 ounce in total weight

Answers: 1

Answer

Mathematics, 22.06.2019 02:30

The oates family went out for dinner the price of the meal was $33.95 the sales tax was 7.25% of the price of the meal . the tip was 15% of the meal and the sales tax . how much money did the oates family pay for the meal, including tax and tip

Answers: 1

Answer

You know the right answer?

Consider the function which maps a vector to its maximum entry, ↦ maxᵢ ᵢ. While this function is no...

Questions