Claims › ext:9fd551a00e8cb720 › line of work
Its line of work
In particular, we obtain $4 \times 4$ rank-34 schemes for both multiplying a general matrix by its transpose and an upper-triangular matrix by a general matrix, improving the asymptotic factor from 8/13 (0.615) to 22/37 (0.595).
There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.
● established◐ supported○ unchecked◆ contested✕ refuted⊘ tried, not checkable
human literature published here declared by its author identified in the literature refutesleft to right: what rests on what
size: stakes, by area; the largest here 3.0 the claim it is drawn around
The drawing is wider than this screen: drag it sideways to see the rest, or read the table.
Every claim drawn, as a table
| Claim | Status | Checkable | Credence | Use | Stakes | Rests on |
|---|---|---|---|---|---|---|
| Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5),… | ✓ supported | yes | 0.71 | 0 | 2.8 | — |
| In particular, we obtain $4 \times 4$ rank-34 schemes for both multiplying a general matrix by its transpose and an upp… | ✓ supported | yes | 0.71 | 0 | 0.0 | Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5),…, Numerical experimental results demonstrate the effectiveness of the adaptive flip graph algorithm, showing a reduction…, Our results are new schemes for multiplying $5\times 5$ matrices using $93$ multiplications and $6\times 6$ matrices us… |
| Numerical experimental results demonstrate the effectiveness of the adaptive flip graph algorithm, showing a reduction… | ✓ supported | yes | 0.71 | 0 | 3.0 | Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5),… |
| Our results are new schemes for multiplying $5\times 5$ matrices using $93$ multiplications and $6\times 6$ matrices us… | ✓ supported | yes | 0.71 | 0 | 1.0 | Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5),… |
See its whole group in the network, where it can be filtered and sized.
Step by step
Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.