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Monotone Decision Rules for the Two-Armed Bandit [PDF]
, 1984 Consider the following problem in sequential design: Two Bernoulli experiments called arm 1 and arm 2 are given with unknown success probabilities. We consider them as random variables with a joint prior distribution μ not concentrated on the boundary of [0, 1]2. The aim is to maximize the expected number of successes in N trials by choosing one of the
Harald Benzing, Michael Kolonko
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Fused Lasso Screening Rules via the Monotonicity of Subdifferentials
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015Fused Lasso is a popular regression technique that encodes the smoothness of the data. It has been applied successfully to many applications with a smooth feature structure. However, the computational cost of the existing solvers for fused Lasso is prohibitive when the feature dimension is extremely large.
Wei Fan, Jie Wang, Jieping Ye
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Monotonicity Rules in Calculus
The American Mathematical Monthly, 2006Matti Vuorinen +2 more
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Population monotonic rules for fair allocation problems
Social Choice and Welfare, 2004We consider the property of population monotonicity in the context of fair allocation problems in private good economies. It is already known that the property is compatible with the equal division lower bound. We show that if the equal division lower bound is replaced with no envy, the compatibility does not hold. We also show that the incompatibility
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Hybrid Reasoning with Non-monotonic Rules
2010This is an introduction to integrating logic programs with first order theories. The main motivation are the needs of Semantic Web to combine reasoning based on rule systems with that based on Description Logics (DL). We focus on approaches which are able to re-use existing reasoners (for DL and for rule systems).
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Reasoning over Ontologies and Non-monotonic Rules
2015Ontology languages and non-monotonic rule languages are both well-known formalisms in knowledge representation and reasoning, each with its own distinct benefits and features which are quite orthogonal to each other. Both appear in the Semantic Web stack in distinct standards – OWL and RIF – and over the last decade a considerable research effort has ...
João Leite +2 more
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Neutral and Monotonic Binary Social Decision Rules
2019This chapter is concerned with the class of neutral and monotonic binary social decision rules. The chapter provides a characterization for an important subclass of neutral and monotonic binary social decision rules; and derives maximally sufficient conditions for transitivity for the class of neutral and monotonic binary social decision rules and for ...
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Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity
Annals of Probability, 2022exaly
On the Monotonicity of Interval Type-2 Fuzzy Logic Systems
IEEE Transactions on Fuzzy Systems, 2014Chengdong Li, Jianqiang Yi
exaly