-
Notifications
You must be signed in to change notification settings - Fork 2
New issue
Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.
By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.
Already on GitHub? Sign in to your account
Add comparison to "SRFast" #36
Merged
Merged
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
awf
force-pushed
the
sr-bias-example
branch
from
September 19, 2024 16:20
950a545
to
6c7834f
Compare
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Illustrate how bias-corrected stochastic rounding differs from some common implementations.
New implementations:
StochasticFastest renames the old Stochastic, implements a stochastic rounding scheme
that is biased (the rounded value is on average farther from zero than the true value).
StochasticFast implements a stochastic rounding scheme that is unbiased in
infinite precision, but biased when the quantity to be rounded is computed to
a finite precision.
Stochastic implements a stochastic rounding scheme that is unbiased with finite precision
inputs and finite SRBits.
With a lot of SRbits (say 8 or more), these biases are negligible, and there
may be some efficiency advantage in using StochasticFast or StochasticFastest.
Also produces this visualisation which illustrates how the rounding threshold is computed as a function of the input value and random bits in each case: