On MATH-500 and Countdown for both SPG and GDPO, IM leaves mean gradient norm similar or somewhat larger rather than systematically shrinking it, while reducing the coefficient of variation in all four framework–task pairs.

On MATH-500 and Countdown for both SPG and GDPO, IM leaves mean gradient norm similar or somewhat larger rather than systematically shrinking it, while reducing the coefficient of variation in all four framework–task pairs. · CiteArk

Measurement results

0/24 assessed

0 supported0 disputed or conflicting24 not assessed

The complete result group stays with its claim. Assessed rows come first; their judgments do not replace the whole-claim conclusion. Expand a row for conditions, sources, and evidence history.

Each row is a measurement with its reported value, latest available observation, and cumulative evidence state.
Metric and conditions	Reported	Latest observation	Evidence judgment
model: SPG · dataset: MATH-500	0.1719 gradient-norm units	—	Not assessed
model: SPG · dataset: MATH-500	0.0798 gradient-norm units	—	Not assessed
model: SPG · dataset: MATH-500	0.46 ratio	—	Not assessed
model: SPG+IM · dataset: MATH-500	0.1707 gradient-norm units	—	Not assessed
model: SPG+IM · dataset: MATH-500	0.0634 gradient-norm units	—	Not assessed
model: SPG+IM · dataset: MATH-500	0.37 ratio	—	Not assessed
model: GDPO · dataset: MATH-500	0.0357 gradient-norm units	—	Not assessed
model: GDPO · dataset: MATH-500	0.0174 gradient-norm units	—	Not assessed
model: GDPO · dataset: MATH-500	0.49 ratio	—	Not assessed
model: GDPO+IM · dataset: MATH-500	0.0414 gradient-norm units	—	Not assessed
model: GDPO+IM · dataset: MATH-500	0.0172 gradient-norm units	—	Not assessed
model: GDPO+IM · dataset: MATH-500	0.42 ratio	—	Not assessed

On MATH-500 and Countdown for both SPG and GDPO, IM leaves mean gradient norm similar or somewhat larger rather than systematically shrinking it, while reducing the coefficient of variation in all four framework–task pairs.

Reported and observed measurements

Assessments (0)

Runs (0)

Measurement results