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July 9, 2026
HSE Economists Use Search Queries to Forecast Birth Rates
Researchers from the HSE Faculty of Economic Sciences have shown that the accuracy of birth rate forecasts for Russia can be improved by almost 50% by incorporating the dynamics of online search queries related to pregnancy and childbirth into forecasting models. In the best-performing models, the forecasting error fell from 4.6% to 3.2%. The findings have been published in Populations and Economics.
July 8, 2026
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July 8, 2026
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HSE University and the Russia Renewable Energy Development Association (RREDA) have signed a partnership and information cooperation agreement to support Renewable Energy of the Planet—2026, a national competition with international participation for students and early-career researchers. Applications are open on the competition's website until September 20, 2026.

 

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Нижняя оценка немонотонной сложности функций многозначной логики

С. 76–79.
Kochergin V., Mikhailovich A.
Language: Russian
Keywords: функции многозначной логикиmulti-valued logic functionsсхемная сложностьnonmonotone complexityнемонотонная сложность circuit complexitylower bound of complexityнижняя оценка сложности

In book

Материалы XIV Международного семинара "Дискретная математика и ее приложения" имени академика О.Б.Лупанова (Москва, МГУ, 20-25 июня 2022 г.)
М.: Институт прикладной математики им. М.В. Келдыша РАН, 2022.
Similar publications
The Exact Circuit Complexity of Boolean Functions in an Infinite Basis
V. V. Kochergin, A. V. Mikhailovich, Mathematical notes 2025 Vol. 117 No. 4 P. 579–594
The exact value of the complexity of the circuit implementation of an arbitrary Boolean function in a certain basis consisting of negation and all monotone Boolean functions is found. The complexity of a function is defined as the least number of basis elements sufficient to construct a circuit implementation of this function. ...
Added: February 28, 2026
Точное значение схемной сложности булевых функций в одном бесконечном базисе
Kochergin V., Mikhailovich A., Математические заметки 2025 Т. 117 № 4 С. 523–542
The exact value of the complexity of the circuit implementation of an arbitrary Boolean function in a certain basis consisting of negation and all monotone Boolean functions is found. The complexity of a function is defined as the least number of basis elements sufficient to construct a circuit implementation of this function. ...
Added: April 8, 2025
Математические вопросы кибернетики. Вып. 22
Mikhailovich A., Kochergin V., М.: Физматлит, 2024.
Added: March 10, 2025
Improvement of Nonmonotone Complexity Estimates of k-Valued Logic Functions
Kochergin V., Mikhailovich A., Mathematical notes 2023 Vol. 113 No. 5 P. 794–803
The problem of determining the nonmonotone complexity of the implementation ofk-valued logic functions by logic circuits in bases consisting of all monotone (with respect to thestandard order) functions and finitely many nonmonotone functions is investigated. In calculatingthe complexity measure under examination only those elements of the circuit which are assignednonmonotone basis functions are taken into ...
Added: November 19, 2023
Super-Cubic Lower Bound for Generalized Karchmer-Wigderson Games
Ignatiev A., Mihajlin I., Smal A., , in: 33rd International Symposium on Algorithms and Computation (ISAAC 2022). LIPIcs, Volume 248.: Saarbrücken, Вадерн: Schloss-Dagstuhl - Leibniz Zentrum für Informatik, 2022. Ch. 66.
Added: November 9, 2023
Сравнение оценок сложности для задач Р. Беллмана и О. Б. Лупанова
Kochergin V., В кн.: Материалы XIV Международного семинара "Дискретная математика и ее приложения" имени академика О.Б.Лупанова (Москва, МГУ, 20-25 июня 2022 г.).: М.: Институт прикладной математики им. М.В. Келдыша РАН, 2022. С. 4–16.
Задача Беллмана является обобщением классической задачи об эффективном возведении в степень, т.\,е. задачи о нахождении величины $l(x^n)$ --- минимального числа операций умножения, достаточного для вычисления по переменной $x$ величины $x^n$, при этом вычислительная модель допускает возможность многократного использования результатов промежуточных вычислений. Задача Лупанова заключается в нахождении сложности вычисления элемента конечной абелевой группы по ее образующим. Значение ...
Added: October 29, 2022
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