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Fused Lasso Screening Rules via the Monotonicity of Subdifferentials

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015
Fused 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, 2006
Matti Vuorinen   +2 more
openaire   +3 more sources

Population monotonic rules for fair allocation problems

Social Choice and Welfare, 2004
We 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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Monotonicity of SISO Fuzzy Relational Inference With an Implicative Rule Base

IEEE transactions on fuzzy systems, 2016
Sayantan Mandal, B. Jayaram
semanticscholar   +1 more source

Hybrid Reasoning with Non-monotonic Rules

2010
This 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

2015
Ontology 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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Monotonicity paradoxes in three-candidate elections using scoring elimination rules

Social Choice and Welfare, 2018
D. Lepelley, Issofa Moyouwou, H. Smaoui
semanticscholar   +1 more source

Neutral and Monotonic Binary Social Decision Rules

2019
This 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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