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Equation 4 · Part 1 · Every Test Changed the Scene and Kept the Chair Red

Symbol τ

1/τ1/\tau
τ\tau

What this part means

τ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

τ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Start with capacity. The paper describes NCP, its most consistent top performer, as “a sparse network configuration composed of fewer than two dozen LTC neurons,” feeding on a shared 128-dimensional convolutional feature vector produced by the same CNN backbone every architecture uses [ 1 ] . A recurrent core with that few internal states cannot afford to carry much of a busy forest or brick patio’s incidental detail forward through time; it has to compress the incoming feature stream down to whatever handful of dimensions best explains the training labels, at every site, in every season. The liquid equation above adds a second compressive pressure on top of raw capacity: the term 1/τ\tau…

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