31 citations · 137 across the 73 of their papers we have counts for
6 papers · 2 filters
On sampling theorem with sparse decimated samples: exploring branching spectrum degeneracy
Nikolai Dokuchaev
The paper investigates possibility of recovery of sequences from their decimated subsequences. It is shown that this recoverability is associated with certain spectrum degeneracy o…
Optimal data recovery and forecasting with dummy long-horizon forecasts
Nikolai Dokuchaev
The paper suggests a method of recovering missing values for sequences, including sequences with a multidimensional index, based on optimal approximation by processes featuring spe…
On exact and optimal recovering of missing values for sequences
Nikolai Dokuchaev
The paper studies recoverability of missing values for sequences in a pathwise setting without probabilistic assumptions. This setting is oriented on a situation where the underlyi…
On recovering missing values for sequences in a pathwise setting
Nikolai Dokuchaev
The paper suggests a frequency criterion of error-free recoverability of a missing value for sequences, i.e. discrete time processes, in a pathwise setting without probabilistic as…
On Nyquist-Shannon Theorem with one-sided half of sampling sequence
Nikolai Dokuchaev
The classical sampling Nyquist-Shannon-Kotelnikov theorem states that a band-limited continuous time function can be uniquely recovered without error from a infinite two-sided samp…
On detecting and quantification of randomness for one-sided sequences
Nikolai Dokuchaev
The paper studies discrete time processes and their predictability and randomness in deterministic pathwise setting, without using probabilistic assumptions on the ensemble. We sug…