Design of a 2-Bit Neural Network Quantizer for Laplacian Source

Achieving real-time inference is one of the major issues in contemporary neural network applications, as complex algorithms are frequently being deployed to mobile devices that have constrained storage and computing power. Moving from a full-precision neural network model to a lower representation by applying quantization techniques is a popular approach to facilitate this issue. Here, we analyze in detail and design a 2-bit uniform quantization model for Laplacian source due to its significance in terms of implementation simplicity, which further leads to a shorter processing time and faster inference. The results show that it is possible to achieve high classification accuracy (more than 96% in the case of MLP and more than 98% in the case of CNN) by implementing the proposed model, which is competitive to the performance of the other quantization solutions with almost optimal precision.     

Robust algorithm for determining line centre within a video positional measuring system

The paper presents research into line centre detection using a video positioning system, as part of a measuring system for line scale calibration. In the described approach, the video positioning system processes an image taken by a CCD camera to estimate the position of the observed line's centre. An important part of this research is also an analysis of line scale contamination's influence (scratches, dirt, usage, etc.) on line position determination. The outcome of the research is mathematical models that can be used as a base for developing a positioning algorithm. This algorithm is simple and adaptable to different types of line scales. It also includes a module for increasing the basic scale factor of the positioning as defined by the number of pixels in the CCD sensor, and a module for reducing the influence of contamination on positioning.     

Crystallographic evidence of nitrate-pi interactions involving the electron-deficient 1,3,5-triazine ring

The reaction of Zn(NO3)2.6H2O or Cu(NO3)2.3H2O with the star-shaped ligand 2,4,6-tris(di-2-picolylamino)[1,3,5]triazine (dipicatriz) in acetonitrile results in the formation of the mono- or trinuclear coordination compounds [Zn(dipicatriz)(NO3)2] (1), [Zn3(dipicatriz)(NO3)6](CH3CN)3 (2), and [Cu3(dipicatriz)(NO3)2(H2O)6](NO3)4 (3), depending on the metal-to-ligand ratios used during the crystallization process. Their crystal structures exhibit unique supramolecular interactions. Compounds 1 and 2 show anion-pi interactions between coordinated nitrate ions and the s-triazine ring. Compound 3 exhibits remarkable interactions between two noncoordinated nitrate anions and the two faces of the electron-deficient heteroaromatic ring, corroborating earlier theoretical investigations in this area. New theoretical investigations have been carried out on nitrate-pi interactions, taking into account the particular position of the anion toward the aromatic ring observed in the crystal structures.     

Real pole approximations to the exponential function

Rational approximations to the exponential function with real, not necessarily distinct poles are studied in this paper. The orthogonality relation is established in order to show that the zeros of the collocation polynomial of the corresponding Runge-Kutta method are all real, simple and positive. It is proven, that approximants with the smallest error constant are the Restricted Padé approximants of Nørsett. Some results concerning acceptability properties are given.This work was supported by RSS, Ljubljana while the author was at Division of Mathematical Sciences, Norwegian Institute of Technology, Trondheim.     

Mutasynthesis of glycopeptide antibiotics: variations of vancomycin's AB-ring amino acid 3,5-dihydroxyphenylglycine

In the mutasynthetic approach, the DeltadpgA mutant of the vancomycin-type glycopeptide antibiotic producer Amycolatopsis balhimycina, which is deficient in the synthesis of 3,5-dihydroxyphenylglycine (DPg), was supplemented with synthetic DPg analogues to obtain the corresponding modified glycopeptides. Sterically more demanding 3,5-disubstituted methoxy derivatives as well as monosubstituted DPg analogues were accepted as substrates. These facts indicate that steric and electronic requirements suffice in several cases for the oxidative closure of the AB ring, thus leading to the generation of novel antibiotically active glycopeptide derivatives. The results represent a further step in evaluating the potential of mutasynthesis for peptidic secondary metabolites.     

Dispersion-managed semiconductor mode-locked ring laser

A novel breathing-mode external sigma-ring-cavity semiconductor mode-locked laser is developed. Intracavity pulse compression and stretching produce linearly chirped pulses with an asymmetric exponential temporal profile. External dispersion compensation reduces the pulse duration to 274 fs (within 10% of the bandwidth limit).     

<Emphasis Type="Italic"> K</Emphasis><Subscript>6</Subscript>-Minors in Projective Planar Graphs

It is shown that every 5-connected graph embedded in the projective plane with face-width at least 3 contains the complete graph on 6 vertices as a minor.* Supported in part by the Ministry of Science and Technology of Slovenia, Research Project J1-0502-0101-98.     

Embeddings of cartesian products of nearly bipartite graphs

Surgical techniques are often effective in constructing genus embeddings of cartesian products of bipartite graphs. In this paper we present a general construction that is “close” to a genus embedding for cartesian products, where each factor is “close” to being bipartite. In specializing this to repeated cartesian products of odd cycles, we are able to obtain asymptotic results in connection with the genus parameter for finite abelian groups.     

Threshold criterion for wetting at the triple point

Grand canonical simulations are used to calculate adsorption isotherms of various classical gases on alkali metal and Mg surfaces. Ab initio adsorption potentials and Lennard-Jones gas-gas interactions are used. Depending on the system, the resulting behavior can be nonwetting for all temperatures studied, complete wetting, or (in the intermediate case) exhibit a wetting transition. An unusual variety of wetting transitions at the triple point is found in the case of a specific adsorption potential of intermediate strength. The general threshold for wetting near the triple point is found to be close to that predicted with a heuristic model of Cheng et al. This same conclusion was drawn in a recent experimental and simulation study of Ar on CO2 by Mistura et al. These results imply that a dimensionless wetting parameter w is useful for predicting whether wetting behavior is present at and above the triple temperature. The nonwetting/wetting crossover value found here is w approximately 3.3.