5 problems
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The Bernoulli latent-space conjecture for topology optimization
In topology optimization, each discrete element is assigned a material-presence decision, so the latent representation may be modeled using either a Bernoulli distribution, taking…
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Necessity of sufficient diversity for element identifiability
Let () be latent variables and let be a set of observed variables whose support sets satisfy the sufficient diversity condition: for each latent variable…
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Consistency conjecture for pseudo-likelihood estimation in stationary ergodic Gaussian latent-variable models
Let be a stationary ergodic process taking values in , and let be conditionally independent given , with con…
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The low-sample-size explanation for poor zero-inflated Poisson PCA separation
Low-sample-size conjecture. The reason for this failure is simply that the low sample size of the data is not sufficient to accommodate the zero-inflated model.
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Conjecture on GLAMLE for mixed discrete and continuous network distributions
Mixed-distribution conjecture. The proposed method should also be able to handle mixtures of discrete and continuous distributions, for example when some are Bernoulli, so…