On handling indicator constraints in mixed integer programming
By Pietro Belotti, Pierre Bonami, Matteo Fischetti, Andrea Lodi, Michele Monaci, Amaya Nogales-Gómez, Domenico Salvagnin. 2016
113 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Numerical Analysis, Optimization & Training
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Nina Narodytska
- Joao Marques-Silva
- Alexey Ignatiev
- Andrea Lodi
- Sébastien Lachapelle
- Simon Lacoste-Julien
- Christian Tjandraatmadja
- Flávio du Pin Calmon
In Management Science and Operations Research
- Yoshua Bengio
- Sébastien Lachapelle
- Simon Lacoste-Julien
- Andrea Lodi
- Christian Tjandraatmadja
- Flávio du Pin Calmon
- Alexey Ignatiev
- Juan Pablo Vielma
In Numerical Analysis
- Yoshua Bengio
- Simon Lacoste-Julien
- Andrea Lodi
- Flávio du Pin Calmon
- Juan Pablo Vielma
- Matteo Fischetti
- Joey Huchette
- Berk Ustun
In Optimization & Training
- Simon Lacoste-Julien
- Sébastien Lachapelle
- Yoshua Bengio
- Nina Narodytska
- Alexey Ignatiev
- Joao Marques-Silva
- Andrea Lodi
- Christian Tjandraatmadja
Citations in the corpus
- Predicting Tactical Solutions to Operational Planning Problems under Imperfect Information (2018, background): “(2017), Belotti et al. (2016), just to mention a few.”
- Predictive Multiplicity in Classification (2019, background): “Althoughinteger programming is computationally intractable, modern solvers can solve empirical risk minimization for many real-world problems [see e.g., 6, 37, 47–49].”
- Strong mixed-integer programming formulations for trained neural networks (2018, background): “ons presented in this paper also have connections with existing structures studied in the MIP and constraint programming communities, like indicator variables, on/off constraints, and convex envelopes [7,13,17,37,38,69]. Finally, this paper has connections with distributionally robust optimization, i”
- Deep Neural Networks as 0-1 Mixed Integer Linear Programs: A Feasibility Study (2017, background): “It is known [1] that, for 0-1 MILP models like (4)–(7), the definition of tight upper bounds for the continuous variables appearing in the indicator constraints plays a crucial role for the practical resolution of the model itself.”
- Abduction-Based Explanations for Machine Learning Models (2018, methodology): “To help with the encoding of ML models, we will exploit indicator constraints (e.g. (Belotti et al. 2016; Fischetti and Jo 2018)) of the form: where l i is some propositional literal.”