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On Monotone Automata and Monotone Languages
J. Autom. Lang. Comb., 2002In this paper monotone string and monotone tree languages are studied. For the string case, the monotone languages are characterized by means of regular expressions and syntactic monoids. Tree languages recognized by monotone frontier-to-root and monotone root-to-frontier recognizers are also characterized by syntactic ...
Ferenc Gécseg, Balázs Imreh
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Combinatorica, 2000
This paper provides a valuable nontrivial contribution to the area of learning and to the study of the power of randomisation. The following task is considered. Given a Boolean function \(f\), one has to decide whether \(f\) is monotone or far from being monotone (it differs by more than on a \(c\) fraction of inputs from any monotone function).
Oded Goldreich 0001 +4 more
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This paper provides a valuable nontrivial contribution to the area of learning and to the study of the power of randomisation. The following task is considered. Given a Boolean function \(f\), one has to decide whether \(f\) is monotone or far from being monotone (it differs by more than on a \(c\) fraction of inputs from any monotone function).
Oded Goldreich 0001 +4 more
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Monotone and Partially Monotone Neural Networks
IEEE Transactions on Neural Networks, 2010In many classification and prediction problems it is known that the response variable depends on certain explanatory variables. Monotone neural networks can be used as powerful tools to build monotone models with better accuracy and lower variance compared to ordinary nonmonotone models.
Daniels, H., Velikova, Marina
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Monotone and maximal monotone affine subspaces
Operations Research Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-Pierre Crouzeix +1 more
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Identifying monotonic and non-monotonic relationships
Economics Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yitzhaki, Shlomo, Schechtman, Edna
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2010
Self-stabilization guarantees convergence to a legitimate configuration in every execution starting from any initial configuration. However, during convergence, most self-stabilizing protocols make unnecessary output changes that do not directly contribute to the progress of convergence.We define and study monotonic stabilization, where every output ...
Yamauchi, Yukiko, Tixeuil, Sébastien
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Self-stabilization guarantees convergence to a legitimate configuration in every execution starting from any initial configuration. However, during convergence, most self-stabilizing protocols make unnecessary output changes that do not directly contribute to the progress of convergence.We define and study monotonic stabilization, where every output ...
Yamauchi, Yukiko, Tixeuil, Sébastien
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Monotonic and non-monotonic logics of knowledge
Fundam. Informaticae, 1991The paper presents a logic of knowledge based on monotonic and nonmonotonic reasoning in a modal logic with the following natural, but rarely used, informal interpretation of modal operators: each modal operator describes the amount of knowledge that somebody has about something.
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Monotone and Near-Monotone Systems
2007This paper provides an expository introduction to monotone and near-monotone biochemical network structures. Monotone systems respond in a predictable fashion to perturbations, and have very robust dynamical characteristics. This makes them reliable components of more complex networks, and suggests that natural biological systems may have evolved to be,
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2018
Measuring the information provided by the observation of events has been a challenge for seventy years, since the simultaneous inception of entropy by Claude Shannon and Norbert Wiener in 1948. Various definitions have been proposed, depending on the context, the point of view and the chosen knowledge representation.
Bouchon-Meunier, Bernadette +1 more
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Measuring the information provided by the observation of events has been a challenge for seventy years, since the simultaneous inception of entropy by Claude Shannon and Norbert Wiener in 1948. Various definitions have been proposed, depending on the context, the point of view and the chosen knowledge representation.
Bouchon-Meunier, Bernadette +1 more
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