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Search results for: REDUCIBLE REPRESENTATIONS
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Regularization as quantization in reducible representations of CCR
PublicationOpis kwantowego pola elektromagnetycznego przy pomocy redukowalnych reprezentacji CCR prowadzi do automatycznej regularyzacji teorii. Sformułowanie jest jawnie relatywistycznie współzmiennicze. Przeanalizowano - jako przykład - pola kwantowe wytwarzane przez klasyczne źródła.
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Reducible representations of CAR and CCR with possible applications to field quantization.
PublicationRedukowalne reprezentacje CAR i CCR zastosowane są do drugiej kwantyzacji pól Diraca i Maxwella. Powstające w ten sposób operatory pola są rzeczywiście operatorami, a nie dystrybucjami o wartościach operatorowych. Przykłady pokazują, że formalizm taki może prowadzić do skończonej teorii pola.
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Automatic Regularization by Quantization in Reducible Representations of CCR: Point-Form Quantum Optics with Classical Sources
PublicationElectromagnetic fields are quantized in a manifestly covariant way by means ofa class of reducible "center-of-mass N-representations" of the algebra of canonical commutationrelations (CCR). The four-potential Aa(x) transforms in these representations as aHermitian four-vector field in Minkowski four-position space (without change of gauge), butin momentum space it splits into spin-1 massless photons and two massless scalars. Whatwe...
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States of light via reducible quantization.
PublicationRelatywistyczne sformułowanie kwantowania pola opartego o redukowalne reprezentacje kanonicznych związków komutacyjnych. Konstrukcja stanów fokowskich i koherentnych. Analiza automatycznej regularyzacji rozbieżności w podczerwieni. Twierdzenie o granicy termodynamicznej.
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Theory versus experiment for vacuum Rabi oscillations in lossy cavities. II. Direct test of uniqueness of vacuum
PublicationThe paper continues the analysis of vacuum Rabi oscillations we started in part I [Phys. Rev. A 79, 033836 (2009)]. Here we concentrate on experimental consequences for cavity QED of two different classes of representations of harmonic-oscillator Lie algebras. The zero-temperature master equation, derived in part I for irreducible representations of the algebra, is reformulated in a reducible representation that models electromagnetic...
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Embedded Representations of Wikipedia Categories
PublicationIn this paper, we present an approach to building neural representations of the Wikipedia category graph. We test four different methods and examine the neural embeddings in terms of preservation of graphs edges, neighborhood coverage in representation space, and their influence on the results of a task predicting parent of two categories. The main contribution of this paper is application of neural representations for improving the...
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A comparison of geometric analogues of holographic reduced representations, original holographic reduced representations and binary spatter codes
PublicationGeometric Analogues of Holographic Reduced Representations (GA HRR) employ role-filler binding based on geometric products. Atomic objects are real-valued vectors in n-dimensional Euclidean space and complex statements belong to a hierarchy of multivectors. The paper reports a battery of tests aimed at comparison of GA HRR with Holographic Reduced Representation (HRR) and Binary Spatter Codes (BSC). Firstly, we perform a test of...
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Geometric Algebra Model of Distributed Representations
PublicationFormalism based on GA is an alternative to distributed representation models developed so far-Smolensky's tensor product, Holographic Reduced Representations (HRR) and Binary Spatter Code (BSC). Convolutions are replaced by geometric products, interpretable in terms of geometry which seems to be the most natural language for visualization of higher concepts. This paper recalls the main ideas behind the GA model and investigates...
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Wikipedia Articles Representation with Matrix'u
PublicationIn the article we evaluate different text representation methods used for a task of Wikipedia articles categorization. We present the Matrix’u application used for creating computational datasets ofWikipedia articles. The representations have been evaluated with SVM classifiers used for reconstruction human made categories.
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Experience-based knowledge representation: Soeks
PublicationPrzedstawiono koncepcję i realizację reprezentacji wiedzy opartej na zbiorze doświadczeń z przeszłości.
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Geometric analogue of holographic reduced representation
PublicationHolographic reduced representations (HRRs) are distributed representations of cognitive structuresbased on superpositions of convolution-bound n-tuples. Restricting HRRs to n-tuples consisting of 1,one reinterprets the variable binding as a representation of the additive group of binary n-tupleswith addition modulo 2. Since convolutions are not defined for vectors, the HRRs cannot be directlyassociated with geometric structures....
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Frameworks for uncertainly representation in risk assessments
PublicationArtykuł dotyczy wybranych zagadnień związanych z niepewnością w ilościowych obliczeniach analizy ryzyka. Problem ten stał się bardzo istotny, ponieważ wystąpiły wymagania w określaniu niepewności w procedurach obliczeń ryzyka.Dyskutuje się potencjalne źródła niepewności oraz dokonuje przeglądu teoretycznych ram do modelowania niepewności. Dla złożonych systemów ryzyka proponuje się obliczenia przedziałowo (rozmyto) probabilistyczne,...
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Smaller Representation of Finite State Automata
PublicationThis paper is a follow-up to Jan Daciuk's experiments on space-effcient finite state automata representation that can be used directly for traversals in main memory. We investigate several techniques of reducing memory footprint of minimal automata, mainly exploiting the fact that transition labels and transition pointer offset values are not evenly distributed and so are suitable for compression. We achieve a gain of around 20-30%...
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Distributed representation of information on cyclic events
PublicationA representation of information on cyclic events has been proposed which is advantageous for computing environments where a distributed set of Receivers reacts to cyclic events generated by distributed sources. In such scenario no immanent central information repository exist on event timing or volume. Receivers are able to learn the event cycles without communicating with each other, merely on the basis of the fact that an event...
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Smaller representation of finite state automata
PublicationThis paper is a follow-up to Jan Daciuk's experiments on space-efficient finite state automata representation that can be used directly for traversals in main memory (Daciuk, 2000)[4]. We investigate several techniques for reducing memory footprint of minimal automata, mainly exploiting the fact that transition labels and transition pointer offset values are not evenly distributed and so are suitable for compression. We achieve...
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An Analysis of Neural Word Representations for Wikipedia Articles Classification
PublicationOne of the current popular methods of generating word representations is an approach based on the analysis of large document collections with neural networks. It creates so-called word-embeddings that attempt to learn relationships between words and encode this information in the form of a low-dimensional vector. The goal of this paper is to examine the differences between the most popular embedding models and the typical bag-of-words...
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Identity verification using complex representations of handwritten signature
PublicationThis paper is devoted to handwritten signature verification using the cross-correlation approach (adopted by the authors from telecommunications) and dynamic time warping. The following invariants of the handwritten signature: the net signature, the instantaneous complex frequency and the complex cepstrum are analyzed. The problem of setting the threshold for deciding whether the current signature is authentic or forged is discussed....
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Distributed Representations Based on Geometric Algebra: the Continuous Model
PublicationAuthors revise the concept of a distributed representation of data as well as two previously developed models: Holographic Reduced Representation (HRR) and Binary Spatter Codes (BSC). A Geometric Analogue (GAc - ''c'' stands for continuous as opposed to its discrete version) of HRR is introduced - it employs role-filler binding based on geometric products. Atomic objects are real-valued vectors in n-dimensional Euclidean space...
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Representation of the Poisson kernel for Jacobi and Hahn polynomials
PublicationW pracy przedstawiono dowód twierdzenia o reprezentacji jąder Poissona dla wielomianów Jacobiego wypukłą kombinacją nieujemnych jąder typu Durrmeyera. Podobne rezultaty uzyskano dla jąder Poissona dla dyskretnych wielomianów Hahna.
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Finite automata for compact representation of tuple dictionaries.
PublicationOpisane zostaje uogólnienie struktury danych - słownika, zwane słownikiem n-tek. Słownik n-tek przedstawia odwzorowanie n-tek łańcuchów znaków na pewne wartości. Motywacją dla powstania tej struktury danych są praktyczne zastosowania w przetwarzaniu języka i mowy, w których obszerne słowniki n-tek używane są do przedstawiania modeli języka. Przedstawiona zostaje technika oszczędnej reprezentacji słowników n-tek. Ta technika...
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Cognitum Ontorion: Knowledge Representation and Reasoning System
PublicationAt any point of human activity, knowledge and expertise are a key factors in understanding and solving any given problem. In present days, computer systems have the ability to support their users in an efficient and reliable way in gathering and processing knowledge. In this chapter we show how to use Cognitum Ontorion system in this areas. In first section, we identify emerging issues focused on how to represent and inference...
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Student model representation for pedagogical virtual mentors
PublicationThe paper concerns technological aspects of virtual mentors construction, especially concentrating on the student model representation. The article distinguishes several types of information that is gathered by the pedagogical agents and other educational platforms, including student knowledge model, student progress tracking, interaction process patterns and learner preferences. A set of technologies used for the student model...
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Discrete convolution based on polynomial residue representation
PublicationThis paper presents the study of fast discrete convolution calculation with use of the Polynomial Residue Number System (PRNS). Convolution can be based the algorithm similar to polynomial multiplication. The residue arithmetic allows for fast realization of multiplication and addition, which are the most important arithmetic operations in the implementation of convolution. The practical aspects of hardware realization of PRNS...
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Cognitum Ontorion: Knowledge Representation and Reasoning System
Publication“If knowledge can create problems, it is not through ignorance that we can solve them.” (Isaac Asimov). Nevertheless, at any point of human activity, knowledge (besides practice) is a key factor in understanding and solving any given problem. Nowadays, computer systems have the ability to support their users in an efficient and reliable way. In this paper we present and describe the functionality of the Cognitum Ontorion system....
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Towards explainable motion prediction using heterogeneous graph representations
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Concept of managing quality in baking industry, in vector representation
PublicationThe author introduced an innovative metrisable method of describing a manufacturing process. The idea of vector structure of a manufacturing process allows to formulate quantitative relations between the activity of input streams, elements of product quality, and measurable effects of losses. The structure was basis for the formulation of the concept of the process of managing product quality in the baking industry in a vector...
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Graph Representation Integrating Signals for Emotion Recognition and Analysis
PublicationData reusability is an important feature of current research, just in every field of science. Modern research in Affective Computing, often rely on datasets containing experiments-originated data such as biosignals, video clips, or images. Moreover, conducting experiments with a vast number of participants to build datasets for Affective Computing research is time-consuming and expensive. Therefore, it is extremely important to...
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Smart Embedded Systems with Decisional DNA Knowledge Representation
PublicationEmbedded systems have been in use since the 1970s. For most of their history embedded systems were seen simply as small computers designed to accomplish one or a few dedicated functions; and they were usually working under limited resources i.e. limited computing power, limited memories, and limited energy sources. As such, embedded systems have not drawn much attention from researchers, especially from those in the artificial...
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Knowledge representation and acquisition for large-scale semantic memory
PublicationPozyskiwanie i reprezentacja pojęć jest koniecznym warunkiem doimplementacji rozumienia w systemach kognitywnych.Gry słowne są dają interesujące możliwości pozyskiwaniawiedzy do komputerowego modelu pamięci semantycznej. W artykuleprzedstawiono podstawy architektury pamięci semantycznej orazwyniki działającego na niej algorytmu wyszukiwania kontekstowego,który użyty został do realizacji gry w 20 pytań.
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Finite automata for compact representation of language models in NLP
PublicationPrzedstawiona zostaje technika reprezentacji modeli języka w przetwarzaniu języka naturalnego wymagająca mało pamięci. Po krótkim omówieniu przyczyn poszukiwania oszczędnej reprezentacji takich modeli języka, pokazane jest, jak automaty skończone mogą być użyte w tym celu. Technika może być postrzegana jako zastosowanie i rozszerzenie doskonałej funkcji mieszającej z wykorzystaniem automatów skończonych. Pierwsze doświadczenia...
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Matrix representation of the ARMA(p, q) process spectrum
PublicationPraca dotyczy szeregów czasowych i ich modelowania scałkowanymi procesami autoregresji i średniej ruchomej ARIMA(p,q). Dla dowolnych parametru modelu p i q, zaproponowano opis spektrum wykorzystując zapis macierzowy. Takie podejście pozwoliło na znaczne uproszczenia przy różnego rodzaju wyprowadzeniach, a w efekcie i obliczeniach.
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Decisional experiance: a new approach to intelligent knowledge representation
PublicationOmowiono nowe podejscie do reprezentacji wiedzy oparte na modelowaniu i formalizacji doswiadczen decyzyjnych
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Knowledge representation of motor activity of patients with Parkinson’s disease
PublicationAn approach to the knowledge representation extraction from biomedical signals analysis concerning motor activity of Parkinson disease patients is proposed in this paper. This is done utilizing accelerometers attached to their body as well as exploiting video image of their hand movements. Experiments are carried out employing artificial neural networks and support vector machine to the recognition of characteristic motor activity...
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Comparative Analysis of Text Representation Methods Using Classification
PublicationIn our work, we review and empirically evaluate five different raw methods of text representation that allow automatic processing of Wikipedia articles. The main contribution of the article—evaluation of approaches to text representation for machine learning tasks—indicates that the text representation is fundamental for achieving good categorization results. The analysis of the representation methods creates a baseline that cannot...
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Semantic rules representation in controlled natural language in FluentEditor
PublicationThis paper presents a way of representation of semantic rules (SWRL) in controlled English in order to facilitate understanding the rules by humans interacting with a machine. This approach (implemented in FluentEditor) may be applied in many domains, where the understandability of the rules used to support a decision process is of great importance.
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Implementation of discrete convolution using polynomial residue representation
PublicationConvolution is one of the main algorithms performed in the digital signal processing. The algorithm is similar to polynomial multiplication and very intensive computationally. This paper presents a new convolution algorithm based on the Polynomial Residue Number System (PRNS). The use of the PRNS allows to decompose the computation problem and thereby reduce the number of multiplications. The algorithm has been implemented in Xilinx...
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Implementation of discrete convolution using polynomial residue representation
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Evaluation of Path Based Methods for Conceptual Representation of the Text
PublicationTypical text clustering methods use the bag of words (BoW) representation to describe content of documents. However, this method is known to have several limitations. Employing Wikipedia as the lexical knowledge base has shown an improvement of the text representation for data-mining purposes. Promising extensions of that trend employ hierarchical organization of Wikipedia category system. In this paper we propose three path-based...
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Towards New Mappings between Emotion Representation Models
PublicationThere are several models for representing emotions in affect-aware applications, and available emotion recognition solutions provide results using diverse emotion models. As multimodal fusion is beneficial in terms of both accuracy and reliability of emotion recognition, one of the challenges is mapping between the models of affect representation. This paper addresses this issue by: proposing a procedure to elaborate new mappings,...
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Vector and Triangular Representations of Project Estimation Uncertainty: Effect of Gender on Usability
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MP3vec: A Reusable Machine-Constructed Feature Representation for Protein Sequences
Publication—Machine Learning (ML) methods have been used with varying degrees of success on protein prediction tasks, with two inherent limitations. First, prediction performance often depends upon the features extracted from the proteins. Second, experimental data may be insufficient to construct reliable ML models. Here we introduce MP3vec, a transferable representation for protein sequences that is designed to be used specifically for sequence-to-sequence...
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Visual Content Representation for Cognitive Systems: Towards Augmented Intelligence
PublicationCognitive Vision Systems have gained significant attention from academia and industry during the past few decades. One of the main reasons behind this interest is the potential of such technologies to revolutionize human life since they intend to work robustly under complex visual scenes (which environmental conditions may vary), adapting to a comprehensive range of unforeseen changes, and exhibiting prospective behavior. The combination...
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Cartographic Representation of Route Reconstruction Results in Video Surveillance System
PublicationThe video streams available in a surveillance system distributed on the wide area may be accompanied by metadata are obtained as a result of video processing. Many algorithms applied to surveillance systems, e.g. event detection or object tracking, are strictly connected with localization of the object and reconstruction of its route. Drawing related information on a plan of a building or on a map of the city can facilitate the...
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Special forms of echo visual representation in an ahead looking sonar.
PublicationThe paper discusses ways to organise visual representation in a multi-beam ahead looking sonars whose function is to detect objects on the bottom and in pelagic zones. Forms of visual representation are shown and illustrated on the basic screen (panoramic representation and setting, alarms) and on the auxiliary screen (type A, B and special). Special forms of visual representation are mainly used in detecting objects in difficult...
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Self–Organizing Map representation for clustering Wikipedia search results
PublicationThe article presents an approach to automated organization of textual data. The experiments have been performed on selected sub-set of Wikipedia. The Vector Space Model representation based on terms has been used to build groups of similar articles extracted from Kohonen Self-Organizing Maps with DBSCAN clustering. To warrant efficiency of the data processing, we performed linear dimensionality reduction of raw data using Principal...
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International Representation of S-Modular Knowledge Base in RKaSeA System
PublicationNiniejszy artykuł przedstawia nową metodę reprezentacji wiedzy ontologicznej wyrażonej w logice opisowej. Metoda ta, nazwana G-Cart została zaimplementowana w nowo utworzonym systemie zarządzania wiedzą RKaSeA. Artykuł opisuje podstawowe założenia metody oraz praktyczne zagadnienia związane z jej implementacją.
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Representation of magnetic hysteresis in a circuit model of a single-phase transformer
PublicationThe paper presents a mathematical model for the hysteresis phenomenon in a multi-winding single-phase core type transformer. The set of loop differential equations was developed for K-th winding transformer model where the flux linkages of each winding includes a flux common Φ to all windings as function of magneto motive force Θ of all windings. The first purpose of this paper is to determine a hysteresis nonlinearity involved...
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Three-dimensional representation of geographic data in a Web-based GIS
PublicationPresenting geographic data in a web environment has been a long standing problem. For many years the low performance of web browsers has limited the visualization of spatial data to only two dimensions. More recently, the introduction of open standards for 3D acceleration of web applications sparked the emergence of new methods of presenting three-dimensional data in a web browser without using third-party extensions. However,...
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Block-based Representation of Application Execution on Modern Parallel Systems
PublicationThe chapter presents how to model execution of a parallel computational application that is to be executed in a large-scale parallel or distributed environment with potentially thousands to millions of execution units. The representation uses pre- viously attributes and factors representative of modern high performance systems including multicore CPUs, GPUs, dedicated accelerators such as Intel Phi.
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Representation of hypertext documents based on terms, Links and text compressibility
PublicationOpisano metody reprezentacji dokumentów tekstowych oparte na słowach, wzajemnych powiązaniach i metodach kompresji. Dokonano ich oceny w oparciu o klasyfikator SVM.