4 problems

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LSTM latent-dimension conjecture for data structure
Let an LSTM-based state-reconstruction model have a latent state dimension given by the number of nodes in its hidden layer, and let the underlying data possess a structural or low…
Conjectureopendimensionality-reduction recurrent-neural-networks state-reconstructionarXiv posted 2 days ago
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Implicit Takens embedding conjecture for LSTM sensor representations
Let $x_t$ be the high-dimensional state and let $y_t=C_t x_t$ be the sensor measurement, where $C_t$ is a time-dependent measurement matrix. Consider an LSTM in a SHRED model train…
Conjectureopendynamical-systems recurrent-neural-networks state-reconstructionarXiv posted 2 days ago
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Charney's temperature-only atmospheric state reconstruction conjecture
Charney's conjecture. Temperature measurements alone should be sufficient to reconstruct the whole state of the atmosphere.
Conjectureopenatmospheric-dynamics data-assimilation state-reconstructionarXiv posted 2 days ago
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Intractability conjecture for secure state reconstruction without eigenvalue observability
SSR intractability conjecture. When the system does not satisfy the eigenvalue observability condition, the SSR problem is intractable.
Conjectureopencomputational-complexity control-theory state-reconstructionarXiv posted 2 days ago

LSTM latent-dimension conjecture for data structure