The work of “Borders of Russian Education” (Moscow: Center for Sociological Studies, 2015) is analyzed. It is joint scientific work by scientists of the RAS Institute of Sociology, analysts of the ...Center for Sociological Studies of the Ministry of Education and Science of the Russian Federation and education practitioners of the Research Nuclear University (MEPhI). The thesis is substantiated that education as a social institution carries out vital functions of society, supporting the mechanism of reproduction of the social and professional structure of society, and latently regulating reproduction of distributive relations.
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We develop a cyclotomic analogue of the theory of associators. Using a trigonometric version of the universal KZ equations, we prove the formality of a morphism
, where
B
n
1
is a braid group of ...type
B
. The formality isomorphism depends algebraically on a series Ψ
KZ
, the “KZ pseudotwist”. We study the scheme of pseudotwists and show that it is a torsor under a group GTM(
N
,
k
), mapping to Drinfeld’s group GT(
k
), and whose Lie algebra is isomorphic to its associated graded
(
N
,
k
). We prove that Ihara’s subgroup GTK of the Grothendieck–Teichmüller group, defined using distribution relations, in fact coincides with it. We show that the subscheme of pseudotwists satisfying distribution relations is a subtorsor. We study the corresponding analogue
(
N
,
k
) of
(
N
,
k
); it is a graded Lie algebra with an action of
, and we give a lower bound for the character of its space of generators.
The reason why the income gap among the Chinese people is continuously increasing is primarily that the proportion of private ownership in China's ownership relations is increasing while that of ...public ownership is decreasing. Efforts to find solutions to the problem of a growing income gap in the domain of distribution relations have not been entirely effective, and have made little practical contribution to resolving the problem, while being unsustainable as well. Only the improvement of ownership relations can fundamentally reverse the trend to an increasing income gap within the Chinese population, and promote common prosperity. This paper suggests a scientific approach: in respect of the ownership structure, the proportion of public ownership in the national economy should be increased, and a pattern established in which the public economy holds the dominant position, while the various elements of the multi-ownership economy, directed by the state-owned economy, coordinate with each other for development. Within the public economy, we need to improve the manner in which ownership of the means of production by workers is realized, and actively apply the principle of distribution according to work in the enterprises. In the private economy and foreign-funded enterprises, we should supervise the capital-labor relationship, restrict exploitation of workers by capital, and in accordance with legislation, protect the economic rights of workers.
A study of the geologic and geographic histories of 20 species of late Cenozoic pelecypods has shown me that there is a direct relationship between the increase of numbers of a species and its ...increase in geographic distribution.
Contrastive self-supervised learning (CSL) based on instance discrimination typically attracts positive samples while repelling negatives to learn representations with pre-defined binary ...self-supervision. However, vanilla CSL is inadequate in modeling sophisticated instance relations, limiting the learned model to retain fine semantic structure. On the one hand, samples with the same semantic category are inevitably pushed away as negatives. On the other hand, differences among samples cannot be captured. In this paper, we present relation-aware contrastive self-supervised learning (ReCo) to integrate instance relations, i.e. , global distribution relation and local interpolation relation, into the CSL framework in a plug-and-play fashion. Specifically, we align similarity distributions calculated between the positive anchor views and the negatives at the global level to exploit diverse similarity relations among instances. Local-level interpolation consistency between the pixel space and the feature space is applied to quantitatively model the feature differences of samples with distinct apparent similarities. Through explicitly instance relation modeling, our ReCo avoids irrationally pushing away semantically identical samples and carves a well-structured feature space. Extensive experiments conducted on commonly used benchmarks justify that our ReCo consistently gains remarkable performance improvements.
We study arithmetic distribution relations and the inverse function theorem in algebraic and arithmetic geometry, with an emphasis on versions that can be applied uniformly across families of ...varieties and maps. In particular, we prove two explicit versions of the inverse function theorem, the first via general distribution and separation inequalities that may be of independent interest, the second via a careful implementation of classical Newton iteration.
Clustering is a significant unsupervised learning method in the machine learning field, which can mine the distribution pattern and attribute of data. However, traditional clustering methods can not ...fully represent the attribution relationship between objects and classes. Therefore, a three-way clustering (3WC), which combines three-way decision (3WD) with clustering, has gradually received widespread attention from researchers in recent years. However, existing 3WC methods mostly use traditional clustering results or randomly assigned results as initial division results, which largely ignore the distribution relation of each object. Moreover, most of 3WC methods are soft clustering, i.e., there are some objects that will belong to more than one class, which makes clustering results more ambiguous. In light of this situation, we establish a feature distribution-based adaptive three-way clustering (3WC-D) method to address the above challenge. First, 3WC-D utilizes 3WD to characterize the distribution relation of objects for obtaining initial clustering results. Then, several representative classes are selected for further processing based on the interrelationship among classes in initial clustering results. Finally, the remaining objects are divided according to the relative relation between objects and classes, so as final clustering results can be obtained, and the effectiveness of the method is illustrated by comparing with several clustering methods on diverse datasets.
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