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We present an integer programming framework to build accurate and interpretable discrete linear classification models.
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Mathematical programming approaches for the classification problem in two-group discriminant analysis
Erich A Joachimsthaler and Antonie Stam · 1990
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Heuristic solution procedures for a mixed-integer programming discriminant model
Paul A. Rubin · 1990
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The APACHE III prognostic system. risk prediction of hospital mortality for critically ill hospitalized adults
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American college of chest physicians/society of critical care medicine consensus conference: Definitions for sepsis and organ failure and guidelines for the use of innovative therapies in sepsis
RC Bone, RA Balk, FB Cerra, RP Dellinger, AM Fein, WA Knaus, RM Schein, WJ Sibbald, JH Abrams, GR Bernard, et al · 1992
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A comparison of the decision table and tree
Girish H Subramanian, John Nosek, Sankaran P Raghunathan, and Santosh S Kanitkar · 1992
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A new simplified acute physiology score (SAPS II) based on a european/north american multicenter study
Jean-Roger Le Gall, Stanley Lemeshow, and Fabienne Saulnier · 1993
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John Ross Quinlan · 1993
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Extracting refined rules from knowledge-based neural networks
G G Towell and J W Shavlik · 1993
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The comprehensibility manifesto
Y Kodratoff · 1994
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Misclassification minimization
Olvi L Mangasarian · 1994
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The warmack-gonzalez algorithm for linear two-category multivariable optimal discriminant analysis
Robert C Soltysik and Paul R Yarnold · 1994
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A cutting plane algorithm for convex programming that uses analytic centers
David S Atkinson and Pravin M Vaidya · 1995
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Monotonicity maintenance in information-theoretic machine learning algorithms
Arie Ben-David · 1995
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Nonlinear and mixed-integer optimization: fundamentals and applications
Christodoulos A Floudas · 1995
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The power of decision tables
Ron Kohavi · 1995
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Theory Restructuring: A Perspective on Design and Maintenance of Knowledge Based Systems
Edgar Sommer · 1996
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Regression shrinkage and selection via the lasso
Robert Tibshirani · 1996
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Mathematical programming formulations for two-group classification with binary variables
Ognian K Asparoukhov and Antonie Stam · 1997
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Machine learning: Between accuracy and interpretability
Ivan Bratko · 1997
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Simplifying decision trees: A survey
Leonard A Breslow and David W Aha · 1997
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A decision-theoretic generalization of on-line learning and an application to boosting
Yoav Freund and Robert E Schapire · 1997
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Wrappers for feature subset selection
Ron Kohavi and George H John · 1997
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Solving mixed integer classification problems by decomposition
Paul A. Rubin · 1997
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Value of assessment of pretest probability of deep-vein thrombosis in clinical management
Philip S Wells, David R Anderson, Janis Bormanis, Fred Guy, Michael Mitchell, Lisa Gray, Cathy Clement, K Sue Robinson, Bernard Lewandowski, et al · 1997
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Targeting business users with decision table classifiers
Ron Kohavi and Dan Sommerfield · 1998
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Statistical Learning Theory
Vladimir Vapnik · 1998
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Mathematical programming for data mining: formulations and challenges
Paul S Bradley, Usama M Fayyad, and Olvi L Mangasarian · 1999
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Integer programming methods for normalisation and variable selection in mathematical programming discriminant analysis models
JJ Glen · 1999
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Simplifying decision trees
J Ross Quinlan · 1999
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A combinatorial approach to the classification problem
Nicola Yanev and Stephan Balev · 1999
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The TIMI risk score for unstable angina/non–ST elevation MI
Elliott M Antman, Marc Cohen, Peter JLM Bernink, Carolyn H McCabe, Thomas Horacek, Gary Papuchis, Branco Mautner, Ramon Corbalan, David Radley, and Eugene Braunwald · 2000
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Knowledge discovery from data?
Michael J Pazzani · 2000
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Deterministic and probabilistic optimization models for data classification deterministic and probabilistic optimization models for data classification
Ya-Ju Fan and W Art Chaovalitwongse · 2009
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Mixed-integer support vector machine
Wei Guan, Alex Gray, and Sven Leyffer · 2009
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Classification and disease prediction via mathematical programming
Eva K Lee and Tsung-Lin Wu · 2009
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Estimation consistency of the group lasso and its applications
Han Liu and Jian Zhang · 2009
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Mixed integer classification problems
Paul A Rubin · 2009
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Analysis of the consistency of a mixed integer programming-based multi-category constrained discriminant model
J Paul Brooks and Eva K Lee · 2010
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Random forests
Leo Breiman · 2001
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The elements of statistical learning , volume 1
Jerome Friedman, Trevor Hastie, and Robert Tibshirani · 2001
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Validation of clinical classification schemes for predicting stroke
Brian F Gage, Amy D Waterman, William Shannon, Michael Boechler, Michael W Rich, and Martha J Radford · 2001
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Acceptance of rules generated by machine learning among medical experts
MJ Pazzani, S Mani, and WR Shankle · 2001
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Discovering communicable scientific knowledge from spatio-temporal data
Mark Schwabacher and Pat Langley · 2001
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Marine Safety: Tools for Risk-Based Decision Making
ABS Consulting · 2002
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Binarized support vector machines
Emilio Carrizosa, Belen Martín-Barragán, and Dolores Romero Morales · 2010
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On the importance of comprehensible classification models for protein function prediction
Alex A Freitas, Daniela C Wieser, and Rolf Apweiler · 2010
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Regularization paths for generalized linear models via coordinate descent
Jerome Friedman, Trevor Hastie, and Robert Tibshirani · 2010
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Disjunctions of conjunctions, cognitive simplicity, and consideration sets
John R Hauser, Olivier Toubia, Theodoros Evgeniou, Rene Befurt, and Daria Dzyabura · 2010
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Node harvest
Nicolai Meinshausen et al · 2010
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An interior-point Benders based branch-and-cut algorithm for mixed integer programs
Joe Naoum-Sawaya and Samir Elhedhli · 2010
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User-oriented assessment of classification model understandability
Hiva Allahyari and Niklas Lavesson · 2011
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Prototype selection for interpretable classification
Jacob Bien and Robert Tibshirani · 2011
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Support vector machines with the ramp loss and the hard margin loss
J Paul Brooks · 2011
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The influence of feature selection methods on accuracy, stability and interpretability of molecular signatures
Anne-Claire Haury, Pierre Gestraud, and Jean-Philippe Vert · 2011
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An empirical evaluation of the comprehensibility of decision table, tree and rule based predictive models
Johan Huysmans, Karel Dejaeger, Christophe Mues, Jan Vanthienen, and Bart Baesens · 2011
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Performance of classification models from a user perspective
David Martens, Jan Vanthienen, Wouter Verbeke, and Bart Baesens · 2011
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Adaptive index models for marker-based risk stratification
Lu Tian and Robert Tibshirani · 2011
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Building comprehensible customer churn prediction models with advanced rule induction techniques
Wouter Verbeke, David Martens, Christophe Mues, and Bart Baesens · 2011
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Sparse weighted voting classifier selection and its linear programming relaxations
Noam Goldberg and Jonathan Eckstein · 2012
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C50: C5.0 Decision Trees and Rule-Based Models , 2012
Max Kuhn, Steve Weston, and Nathan Coulter. C code for C5.0 by R. Quinlan · 2012
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Fine-scale statistics for the multidimensional Farey sequence
J. Marklof · 2012
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e1071: Misc Functions of the Department of Statistics (e1071), TU Wien , 2012
David Meyer, Evgenia Dimitriadou, Kurt Hornik, Andreas Weingessel, and Friedrich Leisch · 2012
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A general lp-norm support vector machine via mixed 0-1 programming
Hai Thanh Nguyen and Katrin Franke · 2012
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rpart: Recursive Partitioning , 2012
Terry Therneau, Beth Atkinson, and Brian Ripley · 2012
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A mathematical model for interpretable clinical decision support with applications in gynecology
Vanya MCA Van Belle, Ben Van Calster, Dirk Timmerman, Tom Bourne, Cecilia Bottomley, Lil Valentin, Patrick Neven, Sabine Van Huffel, Johan AK Suykens, and Stephen Boyd · 2012
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UCI machine learning repository, 2013
K. Bache and M. Lichman · 2013
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Strongly agree or strongly disagree?: Rating features in support vector machines
E. Carrizosa, A. Nogales-Gómez, and D. Romero Morales · 2013
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Supervised classification and mathematical optimization
Emilio Carrizosa and Dolores Romero Morales · 2013
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Rounding methods for discrete linear classification
Yann Chevaleyre, Frédéerick Koriche, and Jean-Daniel Zucker · 2013
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An interpretable stroke prediction model using rules and bayesian analysis
Benjamin Letham, Cynthia Rudin, Tyler H. McCormick, and David Madigan · 2013
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Safe screening with variational inequalities and its applicaiton to lasso
Jun Liu, Zheng Zhao, Jie Wang, and Jieping Ye · 2013
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Algorithms for direct 0–1 loss optimization in binary classification
Tan Nguyen and Scott Sanner · 2013
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The pitfalls of prediction
Greg Ridgeway · 2013
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Lasso screening rules via dual polytope projection
Jie Wang, Jiayu Zhou, Peter Wonka, and Jieping Ye · 2013
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Risk assessment: Actuarial instruments & structured clinical guides, 2013
Christopher Webster · 2013
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Comprehensible classification models: a position paper
Alex A Freitas · 2014
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Box drawings for learning with imbalanced data
Siong Thye Goh and Cynthia Rudin · 2014
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R: A Language and Environment for Statistical Computing
R Core Team · 2014
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