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OpenAI: Exact discrete Fourier transforms below n log n

The paper claims an all-length exact DFT algorithm with O(n(log n)^(1-10^(-13))) operations in its specified complex-arithmetic and indexing model. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.

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What is recorded here?

The paper claims an all-length exact DFT algorithm with O(n(log n)^(1-10^(-13))) operations in its specified complex-arithmetic and indexing model. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

Unrestricted coefficients, specified roots and unit-cost indexing are part of the model; preparation and organization are counted. This does not break every bounded-coefficient or bit-complexity lower bound. Its relationship with the integer-multiplication method needs credit deduplication. WRS inspected the selected opening statement and available scope note, not the full proof; independent formal replay was not run.

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People and systems

OpenAI organizational byline; individual human preparation and verification roles incompletely disclosed The recorded author list is incomplete.

OpenAI research model · OpenAI · Unreleased internal frontier model; exact identifier not disclosed
Source-reported mathematical argument generation. Source-reported attribution; provider attestation is unavailable.

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English catalogue narrative

OpenAI: Exact discrete Fourier transforms below n log n

The paper claims an all-length exact DFT algorithm with O(n(log n)^(1-10^(-13))) operations in its specified complex-arithmetic and indexing model. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.

Scientific scope

Unrestricted coefficients, specified roots and unit-cost indexing are part of the model; preparation and organization are counted. This does not break every bounded-coefficient or bit-complexity lower bound. Its relationship with the integer-multiplication method needs credit deduplication. WRS inspected the selected opening statement and available scope note, not the full proof; independent formal replay was not run.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

OpenAI organizational byline; individual human preparation and verification roles incompletely disclosed

OpenAI research model / OpenAI / Unreleased internal frontier model; exact identifier not disclosed: Source-reported mathematical argument generation (source reported).

Original sources