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V Maiorov

Publications and source records attributed to V Maiorov.

4 recordsLinked to original sources

Almost linear VC-dimension bounds for piecewise polynomial networks

We compute upper and lower bounds on the VC dimension and pseudo-dimension of feedforward neural networks composed of piecewise polynomial activation functions. We show that if the number of layers is fixed, then the VC dimension and pseudo-dimension grow as WlogW, where W is the number of parameters in the network. This result stands in opposition to the case where the number of layers is unbounded, in which case the VC dimension and pseudo-dimension grow as W2. We combine our results with recently established approximation error rates and determine error bounds for the problem of regression estimation by piecewise polynomial networks with unbounded weights.

Journal Article↗

Energy strain in three-dimensional protein structures.

BACKGROUND: Steric strain in protein three-dimensional structures is related to unfavorable inter-atomic interactions. The steric strain may be a result of packing or functional requirements, or may indicate an error in the coordinates of a structure. Detailed energy functions are, however, usually considered too noisy for error detection. RESULTS: After a short energy refinement, a full-atom, detailed energy function becomes a sensitive indicator of errors. The statistics of the energy distribution of amino acid residues in high-resolution crystal structures, represented by models with idealized covalent geometry, were calculated. The interaction energy of each residue with the whole protein structure and with the solvent was considered. Normalized deviations of amino acid residue energies from their average values were used for detecting energy-strained and, therefore, potentially incorrect fragments of a polypeptide chain. Protein three-dimensional structures of different origin (X-ray crystallography, NMR spectroscopy, theoretical models and deliberately misfolded decoys) were compared. Examples of the applications to loop and homology modeling are provided. CONCLUSIONS: Elevated levels of energy strain may point at a problematic fragment in a protein three-dimensional structure of either experimental or theoretical origin. The approach may be useful in model building and refinement, modeling by homology, protein design, folding calculations, and protein structure analysis.

Amino Acid Sequence↗

A new method for modeling large-scale rearrangements of protein domains.

A method for modeling large-scale rearrangements of protein domains connected by a single- or a double-stranded linker is proposed. Multidomain proteins may undergo substantial domain displacements, while their intradomain structure remains essentially unchanged. The method allows automatic identification of an interdomain linker and builds an all-atom model of a protein structure in internal coordinates. Torsion angles belonging to the interdomain linkers and side chains potentially able to form domain interfaces are set free while remaining torsions, bond lengths, and bond angles are fixed. Large-scale sampling of the reduced torsions conformational subspace is effected with the "biased probability Monte Carlo-minimization" method [Abagyan, R.A., Totrov, M.M. (1994): J. Mol. Biol. 235, 983-1002]. Solvation and side-chain entropic contributions are added to the energy function. A special procedure has been developed to generate concerted deformations of a double-stranded interdomain linker in such a way that the polypeptide chain continuity is preserved. The method was tested on Bence-Jones protein with a single-stranded linker and lysine/arginine/ornithine-binding (LAO) protein with a double-stranded linker. For each protein, structurally diverse low-energy conformations with ideal covalent geometry were generated, and an overlap between two sets of conformations generated starting from the crystallographically determined "closed" and "open" forms was found. One of the low-energy conformations generated in a run starting from the LAO "closed" form was only 2.2 A away from the structure of the "open" form. The method can be useful in predicting the scope of possible domain rearrangements of a multidomain protein.

Algorithms↗

Neuronal mechanisms of conitioned placing reactions in cats.

Neuronal correlates of conditioned placing reaction of cat’s forepaw were studied. The conditioned reaction evoking by tactile stimulation of the paw’s ventral side had the same motor pattern, consisting mainly in successive flexion and extension of elbow joint, as the placing reaction evoked by paw’s dorsal side stimulation in naive animals. The activity of single neurons from the m. biceps representation area in pericruciate motor cortex and VL thalamic nucleus was recorded. As a result of learning the excitatory response of cortical neurons to paw’s ventral side stimulation in 20-50 ms post-stimulus interval was 2-2.5 times more than the response to the same stimulation in naive cats. This short-latency increase of response was not accompanied by modifications of sensory inflow to the motor cortex or movement related afferentation changes arriving from VL nucleus. There were no marked differences in excitability of cortical neurons of naive and trained animals as well. The results suggest a functional plasticity of the neuronal net in the motor cortex, consisting of a change in the efficiency of connections between neurons receiving sensory determined afferent excitation and the functional groups of neurons controlling the contraction of different muscles.

Animals↗