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Polynomial Threshold Functions for Decision Lists

Ch. 52. P. 52:1–52:12.
Vladimir Podolskii, Nikolay V. Proskurin
Language: English
DOI
Text on another site
Keywords: Threshold functiondecision listHamming ball
Publication based on the results of:
Mathematical methods inthe studies of definitional complexity, computational complexity and formal language (2023)

In book

33rd International Symposium on Algorithms and Computation (ISAAC 2022). LIPIcs, Volume 248
Saarbrücken, Вадерн: Schloss-Dagstuhl - Leibniz Zentrum für Informatik, 2022.
Similar publications
On the Decision Tree Complexity of Threshold Functions
Chistopolskaia A., Podolskii V. V., Theory of Computing Systems 2022
In this paper we study decision tree models with various types of queries. For a given function it is usually not hard to determine the complexity in the standard decision tree model (each query evaluates a variable). However in more general settings showing tight lower bounds is substantially harder. Threshold functions often have non-trivial complexity ...
Added: September 13, 2022
On the Decision Tree Complexity of Threshold Functions
Chistopolskaia A., Podolskii V. V., , in: Computer Science – Theory and Applications 15th International Computer Science Symposium in Russia, CSR 2020, Yekaterinburg, Russia, June 29 – July 3, 2020, ProceedingsVol. 12159.: Springer, 2020. P. 198–210.
In this paper we study decision tree models with various types of queries. For a given function it is usually not hard to determine the complexity in the standard decision tree model (each query evaluates a variable). However in more general settings showing tight lower bounds is substantially harder. Threshold functions often have non-trivial complexity ...
Added: September 7, 2020
On the Number of Irreducible Points in Polyhedra
Chirkov A., Zolotykh N., Graphs and Combinatorics 2016 Vol. 32 No. 5 P. 1789–1803
An integer point in a polyhedron is called irreducible iff it is not the midpoint of two other integer points in the polyhedron. We prove that the number of irreducible integer points in n-dimensional polytope P is at most O(m⌊n2⌋logn−1γ), where n is fixed and P is given by a system of m linear inequalities with integer coefficients not exceeding (by absolute value) γ. This bound ...
Added: February 16, 2016
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