Hints

MATH-C08-C-001

Too large means overflow.

MATH-C08-C-002

Subtract the maximum logit.

MATH-C08-C-003

m is the maximum value.

MATH-C08-C-004

Multiply one pair first: 0.1 * 0.1 = 0.01.

MATH-C08-C-005

The denominator is 2h.

MATH-C08-C-006

Floating point stores finite approximations.

MATH-C08-C-007

Epsilon is a guardrail, but it is still part of the expression.

MATH-C08-C-008

Compare how much the output changes from the same kind of input error.

MATH-C08-C-009

Repeated multiplication by numbers below 1 shrinks scale.

MATH-C08-C-010

Think about how many parameters a large network has.

MATH-C08-C-011

Floating-point arithmetic rounds intermediate values.

MATH-C08-C-012

Stable softmax subtracts the same constant from every logit, so differences are preserved.

MATH-C08-C-013

Large h is less local. Tiny h can make subtractive rounding error dominate.

MATH-C08-C-014

Epsilon changes the expression. Use it when there is a specific danger.