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Robustness of sign correlation in market network analysis
Springer Optimization and Its Applications. 2014. Vol. 100. P. 25–33.
Financial market can be modeled as network represented by a complete weighted graph. Differet characteristics of this graph (minimum spanning tree, market graph ad others) give an impotant information on the network. In the pesent paper it is studied how the choice of measure of similarity between stocks influences the statistical errors in the calculation of network characteristics. It is shown tat sign correlation is a robust measure of similarity in contrast with Person correlation widely used in market network analysis. This gives a possibility to get more precise information on stock market from observations.
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Ustyuzhanin V., / Series Econometrics "arxiv". 2026.
This paper proposes Covariate-Balanced Weighted Stacked Difference-in-Differences (CBWSDID), a design-based extension of weighted stacked DID for settings in which untreated trends may be conditionally rather than unconditionally parallel. The estimator separates within-subexperiment design adjustment from across-subexperiment aggregation: matching or weighting improves treated-control comparability within each stacked subexperiment, while the corrective stacked weights of Wing et ...
Added: April 3, 2026
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Vorchik A., / Social Science Research Network. Серия SSRN Working Paper Series "SSRN Working Paper Series". 2026.
This article is devoted to the phenomenon of intrinsic motivation, to understand which two models are proposed. We study how positive/negative intrinsic motivation to work (experienced utility) affects worker's individual labour supply (model I) and the amount of effort they exert (model II). In model I, we use intrinsic motivation to explain the positive/negative slope ...
Added: March 15, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Vorchik A., Мамышев М. А., / Series Social Science Research Network "Social Science Research Network". 2025.
In this paper, we develop a formal mathematical model aimed to explain the Dunning-Kruger effect that beginners systematically overestimate their own competence in various fields of knowledge and activity. We argue that the Dunning-Kruger effect arises from the emotional nature of confidence combined with unknown unknowns that it simply can not take into account due ...
Added: February 11, 2026
Musaev A. U., Vorchik A., / Series Social Science Research Network "Social Science Research Network". 2026.
This paper attempts to model the evolutionary theory of modernization and democratization. The model reflects the key provisions of R. Inglehart and C. Welzel's theory and provides a microfoundation for the adaptation of subjective values to the objective importances of the survival factors and the structure of the labour markets from the perspective of evolutionary ...
Added: February 10, 2026
Antsygina A., Teteryatnikova M., Tremewan J. C. et al., / Series "SSRN Working Paper Series". 2025.
Many competitive environments allow for a third party to be indirectly involved by supporting one or both sides in the conflict. Such support can come from trade partners, colleagues, or allies, who can in turn benefit from a supported party's success. We use theory and an experiment to investigate how support relationships develop endogenously in ...
Added: January 31, 2026
Akhmedova A., / Series "SSRN Working Paper Series". 2026.
The study explores a psychological phenomenon of inaction inertia-avoiding action after missing a more favourable opportunity. Unlike action inertia (e.g.,sunk costs effect), inaction inertia has been less studied, particularly in economic contexts. Considering the reference dependent nature of the phenomenon, I build on the work of Kőszegi and Rabin (2006) to examine how past experiences ...
Added: January 23, 2026
Kuchumova (Paramonova) Y. A., Ozhegova A., Зорина К. С., / Series SSRN "Available at SSRN 6108727". 2026.
Simplified tax regimes with explicit eligibility thresholds are a common tool which reduces tax burden but distorts firms’ behavior, creating local bunching just below the threshold. However, we show that when firms have access to business splitting their responses extend far beyond the local margin. Our model demonstrates that splitting reduces local bunching but amplifies ...
Added: January 21, 2026
Kuchumova (Paramonova) Y. A., Кумачева С. Ш., / Series SSRN "Available at SSRN 5312100". 2025.
In recent years, an emerging body of empirical research has shown that tax audits, in addition to recovering unpaid taxes (direct effect), increase future tax compliance (indirect or dynamic effect). This literature also suggests that updating expectations induced by audit experience plays an important role in explaining this indirect effect. However, exactly how taxpayers form ...
Added: January 21, 2026
Koldanov P., Koldanov A. P., Tsygankov V. V., Operations Research Forum 2025 Vol. 6 Article 164
One of the popular tools for analyzing network models of a market is the threshold similarity graph or market graph, which illustrates the strength and topology of correlations in the stock market. Several papers are devoted to the construction of such a graph in order to analyze correlations in specific stock markets. However, the reliability ...
Added: October 26, 2025
Kazakov M., Kalyagin V. A., , in: Models, Algorithms and Technologies for Network Analysis, Springer Proceedings in Mathematics & StatisticsVol. 156.: Switzerland: Springer, 2016. P. 135–156.
Random matrix theory (RMT) is applied to investigate the cross-correlation matrix of a financial time series in four different stock markets: Russian, American, German, and Chinese. The deviations of distribution of eigenvalues of market correlation matrix from RMT global regime are investigated. Specific properties of each market are observed and discussed. ...
Added: October 14, 2018
Kalyagin V. A., Koldanov A. P., Petr A. Koldanov, Journal of Statistical Planning and Inference 2017 Vol. 181 No. Feb P. 30–40
A class of distribution free multiple decision statistical procedures is proposed for threshold graph identification in correlation networks. The decision procedures are based on simultaneous application of sign statistics. It is proved that single step, step down Holm and step up Hochberg statistical procedures for threshold graph identification are distribution free in sign similarity network in ...
Added: December 14, 2015
Koldanov A. P., Kalyagin V. A., Pardalos P. M., Lecture Notes in Computer Science 2015 Vol. 9432 P. 26–36
Stock selection by Sharp ratio is considered in the framework of multiple statistical hypotheses testing theory. The main attention is paid to comparison of Holm stepdown and Hochberg step up procedures for different loss functions. Comparison is made on the basis of condittional risk as a function of selection threshold. This approach allows to discover ...
Added: December 13, 2015
Koldanov P., Комиссарова А. Э., , in: Models, Algorithms, and Technologies for Network Analysis / From the 4th International Conference on Network Analysis.: NY: Springer, 2016. P. 157–163.
The paper deal with uncertainty in market network analysis. The main problem addressed is to investigate statistical uncertainty of Kruskal algorithm for the minimum spanning tree in market network. Uncertainty of Kruskal algorithm is measured by the probability of q incorrectly included edges. Numerical experiments are conducted with the returns of a set of 100 ...
Added: December 7, 2015
Koldanov P., Kalyagin V. A., Koldanov A. P. et al., , in: Optimization oi Science and Engineering (In Honor of the 60th Birthday of Panos M. Pardalos).: NY: Springer, 2014. Ch. 15 P. 301–313.
Market graph is known to be a useful tool for market network analysis. Cliques and independent sets of the market graph give an information about con- centrated dependent sets of stocks and distributed independent sets of stocks on the market. In the present paper the connections between market graph and classical Markowitz portfolio theory are ...
Added: October 3, 2014
Bautin G. A., Kalyagin V. A., Koldanov A. P., Springer Proceedings in Mathematics & Statistics 2013 Vol. 59 P. 29–41
Market graph is built on the basis of some similarity measure for financial asset returns. The paper considers two similarity measures: classic Pearson correlation and sign correlation. We study the associated market graphs and compare the conditional risk of the market graph construction for these two measures of similarity. Our main finding is that the ...
Added: September 27, 2013