How to Query an Oracle? Efficient Strategies to Label Data.

We consider the basic problem of querying an expert oracle for labeling a dataset in machine learning. This is typically an expensive and time consuming process and therefore, we seek ways to do so efficiently. The conventional approach involves comparing each sample with (the representative of) each class to find a match.

A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications.

We derive a lower bound on the differential entropy of a log-concave random variable in terms of the -th absolute moment of . The new bound leads to a reverse entropy power inequality with an explicit constant, and to new bounds on the rate-distortion function and the channel capacity. Specifically, we study the rate-distortion function for log-concave sources and distortion measure d ( x , x ^ ) = | x - x ^ | r , with r ≥ 1 , and we establish that the difference between the rate-distortion function and the Shannon lower bound is at most log ( π e ) ≈ 1 .

[Novel hybrid inhibitors of the phage T7 RNA polymerase: synthesis, docking and screening in vitro].

A number of new hybrid heteroaromatic compounds, consisting of tricyclic fragments (acridone, thioxanthone and phenazine) and bicyclic fragments (benzimidazole, benzothiazole and benzoxazole) were synthesized using the method, developed by the authors. As a result of screening against the transcription model system of the phage T7 DNA-dependent RNA polymerase three effective inhibitors of the RNA syntheses with the IC50 value of 8.9, 5.

[Design of transcription inhibitors on the basis of n-arylamides of 9-methyl- and 9-methoxyphenazine-1-carboxylic acids].

A convenient method of synthesis was developed and two series of N-arylamides of 9-methyl- and 9-methoxyphenazine-1-carboxylic acids were obtained. By the molecular docking method the mode of the synthesized compounds interaction with catalytic pocket of the RNA polymerase T7 transcription complex was simulated. Key ligand-receptor intermolecular contacts were identified.