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Language Modeling on TinyStories (val)

1.1284Last LossTMMFormer
1.0502161.5779582.10572.633442Mar 17, 2026Mar 28, 2026Apr 8, 2026Apr 19, 2026Apr 30, 2026May 11, 2026May 23, 2026

Evaluation results

MethodLinks
TMMFormer2026.051.1284——
SOAPFormer2026.051.1431——
AdamWFormer2026.051.1472——
MuonFormer2026.051.1503——
AdamFormer2026.051.1528——
VanillaTransformer2026.051.1569——
Presymp ETD-AB2wall clock time (seconds)=5798.2, optimization steps=100002026.031.83861.8386—
Plain Eulerwall clock time (seconds)=5036.1, optimization steps=100002026.032.32472.3234—
Presymp ExpEulerwall clock time (seconds)=5623.4, optimization steps=100002026.032.35792.2523—
YuriiFormer-Lie-Trotterwall clock time (seconds)=2835.2, optimization steps=100002026.032.40412.3872—
Baselinewall clock time (seconds)=2409.4, optimization steps=100002026.032.46872.4473—
Presymp Eulerwall clock time (seconds)=4979.0, optimization steps=100002026.032.47282.4592—
Presymp AB2wall clock time (seconds)=5249.4, optimization steps=100002026.032.66532.6546—
plain Eulerattention=linear, configuration=larger, optimization steps=10000, wall clock time (seconds)=10806.52026.032.74832.6567—
Presymp Eulerattention=linear, configuration=larger, optimization steps=10000, wall clock time (seconds)=12620.02026.032.78622.6909—
Presymp Euleroptimization steps=10000, attention mechanism=linear attention, model configuration size=smaller configuration2026.032.84672.73141,172.8
YuriiFormerattention=linear, configuration=larger, optimization steps=10000, wall clock time (seconds)=9601.32026.032.84862.765—
YuriiFormeroptimization steps=10000, attention mechanism=linear attention, model configuration size=smaller configuration2026.032.87832.766749.6
Baselineattention=linear, configuration=larger, optimization steps=10000, wall clock time (seconds)=8956.82026.033.01182.9172—
plain Euleroptimization steps=10000, attention mechanism=linear attention, model configuration size=smaller configuration2026.033.03992.9206809.3
Baselineoptimization steps=10000, attention mechanism=linear attention, model configuration size=smaller configuration2026.033.0832.9614486.7