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Comparative Analysis of Deterministic and Nondeterministic Decision Trees for Decision Tables from Closed Classes [PDF]

open access: yesEntropy, 2023
In this paper, we consider classes of decision tables with many-valued decisions closed under operations of the removal of columns, the changing of decisions, the permutation of columns, and the duplication of columns.
Azimkhon Ostonov, Mikhail Moshkov
doaj   +6 more sources

On Complexity of Deterministic and Nondeterministic Decision Trees for Conventional Decision Tables from Closed Classes

open access: yesEntropy, 2023
In this paper, we consider classes of conventional decision tables closed relative to the removal of attributes (columns) and changing decisions assigned to rows.
Azimkhon Ostonov, Mikhail Moshkov
doaj   +5 more sources

Proof complexity of systems of (non-deterministic) decision trees and branching programs [PDF]

open access: yesAnnual Conference for Computer Science Logic, 2019
This paper studies propositional proof systems in which lines are sequents of decision trees or branching programs - deterministic and nondeterministic.
S. Buss, Anupam Das, Alexander Knop
semanticscholar   +10 more sources

Efficient Modeling of Deterministic Decision Trees for Recognition of Realizable Decision Rules: Bounds on Weighted Depth

open access: yesAxioms
In this paper, an efficient algorithm for modeling the operation of a DDT (Deterministic Decision Tree) solving the problem of realizability of DRs (Decision Rules) is proposed and analyzed.
Kerven Durdymyradov, Mikhail Moshkov
doaj   +3 more sources

Complexity of Deterministic and Strongly Nondeterministic Decision Trees for Decision Tables From Closed Classes [PDF]

open access: yesIEEE Access, 2023
This paper investigates classes of decision tables (DTs) with 0-1-decisions that are closed under the removal of attributes (columns) and changes to the assigned decisions to rows.
Azimkhon Ostonov, Mikhail Moshkov
doaj   +2 more sources

Synthesis of Deterministic Top-down Tree Transducers from Automatic Tree Relations [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees.
Christof Löding, Sarah Winter
doaj   +11 more sources

Time and space complexity of deterministic and nondeterministic decision trees [PDF]

open access: yesAnnals of Mathematics and Artificial Intelligence, 2022
In this paper, we study arbitrary infinite binary information systems each of which consists of an infinite set called universe and an infinite set of two-valued functions (attributes) defined on the universe.
M. Moshkov
semanticscholar   +3 more sources

End-to-end Learning of Deterministic Decision Trees [PDF]

open access: yesGerman Conference on Pattern Recognition, 2017
Conventional decision trees have a number of favorable properties, including interpretability, a small computational footprint and the ability to learn from little training data.
Thomas M. Hehn, F. Hamprecht
semanticscholar   +4 more sources

Optimal direct sum results for deterministic and randomized decision tree complexity [PDF]

open access: yesInformation Processing Letters, 2010
A Direct Sum Theorem holds in a model of computation, when solving some k input instances together is k times as expensive as solving one. We show that Direct Sum Theorems hold in the models of deterministic and randomized decision trees for all relations.
Jain, R., Klauck, H., Santha, M.
openaire   +5 more sources

Randomized versus Deterministic Decision Tree Size

open access: yesProceedings of the 55th Annual ACM Symposium on Theory of Computing, 2023
A classic result of Nisan [SICOMP ’91] states that the deterministic decision tree *depth* complexity of every total Boolean function is at most the cube of its randomized decision tree *depth* complexity.
A. Chattopadhyay   +4 more
semanticscholar   +2 more sources

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