Construction of Quasi-Cyclic Product Codes

Linear quasi-cyclic product codes over finite fields are investigated. Given the generating set in the form of a reduced Gr{\"o}bner basis of a quasi-cyclic component code and the generator polynomial of a second cyclic component code, an explicit expression of the basis of the generating set of the quasi-cyclic product code is given. Furthermore, the reduced Gr{\"o}bner basis of a one-level quasi-cyclic product code is derived.Comment: 10th International ITG Conference on Systems, Communications and Coding (SCC), Feb 2015, Hamburg, German

Generate tensor network state by sequential single-photon scattering in waveguide QED systems

We propose a scheme to generate photonic tensor network states by sequential scattering of photons in waveguide QED systems. We show that sequential scatterings can convert a series of unentangled photons into any type of matrix product states. We also demonstrate the possibility of generating projected entangled pair states with arbitrary network representation by photon re-scattering

The Base for Automatic Generating the Information Systems - Product

Zvyšující se poptávka po jednoduchých informačních systémech dává příležitost nabízet své systémy novým malým společnostem. Tyto vznikající společnosti si často vyvíjejí vlastní nízkorozpočtové produkty, které mnohdy kvůli nekvalitnímu návrhu a uspěchanému vývoji nelze jednoduše znovu použít. Cílem této práce je snížení nákladů při tvorbě a údržbě jednoduchých informačních systémů pomocí automatizace, modulárnosti a hromadné výroby se zachováním možnosti individuálních úprav.The demand for simple information systems is increasing, giving opportunities to new small companies to sell their products. These emerging companies often develop their own low-cost systems, but mostly due to lack of proper design and hurried development is the reusability low and a new version is needed when new project begins. The goal of this thesis is reducing the cost of creating and maintaining simple information systems using automatization and modularity, allowing a mass production, but keeping a space for individual customizations.

Rational semimodules over the max-plus semiring and geometric approach of discrete event systems

We introduce rational semimodules over semirings whose addition is idempotent, like the max-plus semiring, in order to extend the geometric approach of linear control to discrete event systems. We say that a subsemimodule of the free semimodule S^n over a semiring S is rational if it has a generating family that is a rational subset of S^n, S^n being thought of as a monoid under the entrywise product. We show that for various semirings of max-plus type whose elements are integers, rational semimodules are stable under the natural algebraic operations (union, product, direct and inverse image, intersection, projection, etc). We show that the reachable and observable spaces of max-plus linear dynamical systems are rational, and give various examples.Comment: 24 pages, 9 postscript figures; example in section 4.3 expande

Deep recommender engine based on efficient product embeddings neural pipeline

Predictive analytics systems are currently one of the most important areas of research and development within the Artificial Intelligence domain and particularly in Machine Learning. One of the "holy grails" of predictive analytics is the research and development of the "perfect" recommendation system. In our paper, we propose an advanced pipeline model for the multi-task objective of determining product complementarity, similarity and sales prediction using deep neural models applied to big-data sequential transaction systems. Our highly parallelized hybrid model pipeline consists of both unsupervised and supervised models, used for the objectives of generating semantic product embeddings and predicting sales, respectively. Our experimentation and benchmarking processes have been done using pharma industry retail real-life transactional Big-Data streams.Comment: 2018 17th RoEduNet Conference: Networking in Education and Research (RoEduNet