LATD Decomposition

Log-Arithmetic-Tropical Decomposition: how each byte's prediction flows through three semiring regimes.
L = log-stochastic counting (support values), A = arithmetic probability (normalization), T = tropical max-min (LPP selection).
Positions -
Mean surprise -
Correct -
Sharp-wrong -
Unpredictable -
Missing -
Data stream (click byte to inspect)
L
Log-Stochastic
Support values w ∈ [0,255]. Each w represents ~2w observations. Counting via probabilistic increment: P(w→w+1) = 2-w.
Select a position to see L-regime data.
A
Arithmetic
Normalized probability from support values. P(b|source) = 2w(b) / Σ 2w(b'). Surprise = -log2 P(actual).
Select a position to see A-regime data.
T
Tropical
Max-min selection across LPPs. The winning LPP has the highest gap (s1 - s2). Its prediction becomes the output.
Select a position to see T-regime data.
Surprise Decomposition

LPP Traces

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Boolean Sentence

Click a position to see the prediction sentence.
LATD Samples
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