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Non-Gaussian Component Analysis: New Ideas, New Proofs, New Applications
Humboldt-Universität zu Berlin
,
2010.
No. 2010-026.
In this article, we present new ideas concerning Non-Gaussian Component Analysis (NGCA). We use the structural assumption that a high-dimensional random vector $\vX$ can be represented as a sum of two components - a low-dimensional signal $\vS$ and a noise component $\vN$. We show that this assumption enables us for a special representation for the density function of $\vX$. Similar facts are proven in original papers about NGCA (\cite{Blan06}, \cite{Died07}, \cite{Kaw07}), but our representation differs from the previous versions. The new form helps us to provide a strong theoretical support for the algorithm; moreover, it gives some ideas about new approaches in multidimensional statistical analysis. In this paper, we establish important results for the NGCA procedure using the new representation, and show benefits of our method.
Panov V., / Humboldt-Universität zu Berlin. Series Discussion paper SFB 649 "Economic risk". 2010. No. 2010-050.
Let a high-dimensional random vector $\vX$ be represented as a sum of two components - a signal $\vS$ that belongs to some low-dimensional linear subspace $\S$, and a noise component $\vN$. This paper presents a new approach for estimating the subspace $\S$ based on the ideas of the Non-Gaussian Component Analysis. Our approach avoids the ...
Added: September 3, 2015
Belomestny D., Panov V., Spokoiny V., Journal of machine learning and data analysis 2012 Vol. 1 No. 3 P. 140-147
Let a high-dimensional random vector $\vX$ be represented as a sum of two components - a signal $\vS$ that belongs to some low-dimensional linear subspace $\S$, and a noise component $\vN$. This paper presents a new approach for estimating the subspace $\S$ based on the ideas of the Non-Gaussian Component Analysis. Our approach avoids the ...
Added: September 23, 2013
Lipatov M., Математические заметки 2013 Т. 93 № 6 С. 869-877
It is proved that any SOо(1, d)-valued cocycle over an ergodic (probability) measurepreserving automorphism is cohomologous to a cocycle having one of three special forms; the recurrence property of such cocycles is also studied. ...
Added: September 28, 2013
Kuznetsov S., Serdyukov P., Segalovich I. et al., L. : Springer, 2013
Higher School of Economics (HSE) and supported by the Information Retrieval Specialist Group at the British Computer Society (BCS–IRSG). The conference was held during March 24–27, 2013, in Moscow, Russia – the easternmost location in the history of the ECIR series. ECIR 2013 received a total of 287 submissions in three categories: 191 full papers, ...
Added: April 15, 2013
Popkov Y., Popkov A., Dubnov Y. A., Математическое моделирование 2020 Т. 32 № 9 С. 35-52
We develop a new method of dimensionality reduction based on direct and inverse projection of data matrix and calculation of projectors minimizing cross-entropy functional. Concept of information capacity of matrix which is used as a restriction in a problem of optimal reduction is introduced. We conduct a comparison of proposed method with known ones based ...
Added: October 31, 2020
Lipatov M., Вестник Московского университета. Серия 1: Математика. Механика 2013 № 2 С. 39-42
We classify complex linear cocycles over ergodic automorphisms with the help of the barycenter method. A conjugating random matrix is built in explicit form. ...
Added: April 19, 2013
Bronevich A., Мельниченко А. С., Нечеткие системы и мягкие вычисления 2011 Т. 6 № 1 С. 31-42
В данной работе рассматривается проблема автоматического аннотирования изображений набором ключевых слов, что позволяет осуществлять поиск изображений в больших коллекциях по текстовому запросу. Рассматривается общая схема аннотации с использованием глобальных низкоуровневых признаков изображений, представляемых как статистические классы. С помощью процедуры классификации статистических классов, основанной на предлагаемой мере включения, производится построение вторичных информативных признаков изображений, по которым ...
Added: March 2, 2013
Zhuk R., Ignatov D. I., Konstantinova N., Procedia Computer Science 2014 Vol. 31 P. 928-938
We propose extensions of the classical JSM-method and the Na ̈ıve Bayesian classifier for the case of triadic relational data. We performed a series of experiments on various types of data (both real and synthetic) to estimate quality of classification techniques and compare them with other classification algorithms that generate hypotheses, e.g. ID3 and Random ...
Added: June 9, 2014
Dubnov Y. A., Информационные технологии и вычислительные системы 2018 № 2 С. 60-69
The paper considers the problem of reducing the dimension of the feature space for describing objects
in data analysis problems using the example of binary classification. The article provides a detailed
overview of existing approaches to solving this problem and proposes several modifications. In which
the dimensionality reduction is considered as the problem of extracting the most relevant ...
Added: July 4, 2018
Kitov V. V., Вестник Российского экономического университета им. Г.В. Плеханова 2015 Т. 82 № 4 С. 148-152
Methods of classification by nature of decision-making divide on methods using global optimization (all training samples are used), and local optimization (only samples in the neighbourhood of the studied object are used). The perspective direction of research is combination of advantages of each approach in one integrated classifier. In article the method of combination of ...
Added: March 16, 2016
Башмаков А. И., Белоозеров В. Н., Starykh V., Информационные системы и технологии 2013 № 6(80) С. 88-102
In article process of construction formal ontology of information resources system for an education, that pursues the aim to reflect representation about this sphere in the automated systems intended for creation, account, ordering, storage, search and use of these resources in educational institutions of various level is stated. The system of information resources is set ...
Added: January 16, 2014
Pardalos P. M., Aydogan E. K., Karaoglan I., Applied Soft Computing Journal 2012 Vol. 12 No. 2 P. 800-806
The aim of this work is to propose a hybrid heuristic approach (called hGA) based on genetic algorithm (GA) and integer-programming formulation (IPF) to solve high dimensional classification problems in linguistic fuzzy rule-based classification systems. In this algorithm, each chromosome represents a rule for specified class, GA is used for producing several rules for each ...
Added: February 4, 2013
Khazova A., / НИУ ВШЭ. Series WP BRP "Linguistics". 2018. No. 71.
The article deals with the method of automatic detection of authors ' gender identity on the material of fiction prose of 1980-2000. During this period, there is a special construct, called "women's prose", which is characterized by a special genre and stylistic originality. We set ourselves the task to find out whether the concept of ...
Added: December 11, 2018
Emmanuel I. C., Mitrofanova E., / Cornell Tech. Series 4064475 "ArXiv Preprint". 2022.
The paper is devoted to the study of the model fairness and process fairness of the Russian demographic dataset by making predictions of divorce of the 1st marriage, religiosity, 1st employment and completion of education. Our goal was to make classifiers more equitable by reducing their reliance on sensitive features while increasing or at least ...
Added: May 31, 2022
Lerman L., Trifonov K., Dynamical Systems 2020 Vol. 35 No. 4 P. 609-624
We study topological properties of automorphisms of 4-dimensional torus generatedby integer matrices being symplectic either with respect to the standard symplecticstructure in R4 or w.r.t. a nonstandard symplectic structure generated by an integer skew-symmetric nondegenerate matrix. Such symplectic matrix generates a partially hyperbolic automorphism of the torus, if its eigenvalues are a pair of reals outsidethe unit circle and ...
Added: September 16, 2020
Danilevsky I., Новое прошлое 2020 № 3 С. 102-122
The article proposes an original classification of the special terminology used in historiographic narrative. There are distinguished universal nomenclature terms (borrowed from related disciplines), qualifier terms (formed in the historiographic tradition), specific nomenclature terms (borrowed from historical sources) and derived nomenclature terms (formed from specific nomenclature terms). Universal nomenclature terms need a special definition, since in different disciplines they have ...
Added: October 9, 2020
70089316, Nikolenko S. I., Alexeeva S. V. et al., , in : Digital Transformation & Global Society: Second International Conference, DTGS 2017, St. Petersburg, Russia, June 21-23, 2017, Revised Selected Papers. : Springer, 2017. P. 16-30.
The ability of social media to rapidly disseminate judgements on ethnicity and to influence offline ethnic relations creates demand for the methods of automatic monitoring of ethnicity-related online content. In this study we seek to measure the overall volume of ethnicity-related discussion in the Russian-language social media and to develop an approach that would automatically ...
Added: October 23, 2017
Tenisheva K., Savelyeva S., Alexandrov D. A., Социология: методология, методы, математическое моделирование 2018 № 46 С. 44-84
In the article we suggest a method for analyzing situations of choice, which is novel for sociology - the method of conditional decision trees. We describe the logic of the method, applying it to the case of parental choice of school in two urban districts of Saint-Petersburg. We show that decision trees work well for ...
Added: October 19, 2018
Kolik A., Gerami V., Российский экономический интернет-журнал 2016 № 4 С. 1-13
The article considers the stages of the intermodal terminal concept evolution. Principles of terminal technological specialization and logistic integration are analyzed. Classification principles of intermodal terminals are proposed ...
Added: January 7, 2017
Казаков И. В., Политическая наука 2023 № 1 С. 322-337
Particular cases of disputes between actors on political issues can be traced to the differences in the ideologies that they follow. In this regard, when analyzing political discourse, it would be useful to attribute individual positions expressed by actors to their ideologies. However, in practice this proves to be difficult due to the shortcomings of ...
Added: December 10, 2022
Kitov V. V., Экономика, статистика и информатика. Вестник УМО 2016 № 4 С. 22-26
Gradient boosting method with random rotations is considered, where before training each base learner random rotation is applied to the feature space. The accuracy metric of the given method is estimated for a broad range of generated problems of binary classification. Obtained results are evaluated and recommendations given for application of this method. ...
Added: August 23, 2016
Drantusova N., Kniazev E., Университетское управление: практика и анализ 2012 № 5 С. 43-52
In the article there are given different approaches to institutional diversity and differentiation analysis realized by foreign and Russian experts. B.Clark’s triangle of coordination and the stakeholders’ theory are proposed as a methodology for the analysis of emerging higher education landscape in Russia. The authors concluded that the state as a main stakeholder of higher ...
Added: February 13, 2013
Lerman L., Trifonov K., Математические заметки 2020 Т. 108 № 3 С. 474-476
This paper studies the topological properties of the automorphisms of the 4-torus R4/Z4 that are
generated by integer symplectic transformations of R4. Such transformations are customarily called the
symplectic automorphisms of the torus. The purpose is a classification of the possible types of behavior
of the trajectories of symplectic automorphisms of T4. ...
Added: August 28, 2020
Shtefan M. A., Makeeva O. S., Международный бухгалтерский учет 2014 № 35 (329) С. 43-59
Importance. Variety of forms of non-profit organizations, the strict legal requirement for purposes of the data according to business entities with their statutory goals causes difficulty in identifying possible to form and use the types of funding sources. Thus, the object of study in this article are the types of sources of funding for non-profit ...
Added: October 13, 2014