285 citations · 785 across the 59 of their papers we have counts for
4 papers · 2 filters
Sparse principal component analysis and its -relaxation
Santanu S. Dey, Rahul Mazumder, Marco Molinaro +1
Principal component analysis (PCA) is one of the most widely used dimensionality reduction methods in scientific data analysis. In many applications, for additional interpretabilit…
The Strength of Multi-row Aggregation Cuts for Sign-pattern Integer Programs
Santanu S. Dey, Andres Iroume, Guanyi Wang
In this paper, we study the strength of aggregation cuts for sign-pattern integer programs (IPs). Sign-pattern IPs are a generalization of packing IPs and are of the form $\{x\in \…
Lower bounds on the lattice-free rank for packing and covering integer programs
Merve Bodur, Alberto Del Pia, Santanu S. Dey +1
In this paper, we present lower bounds on the rank of the split closure, the multi-branch closure and the lattice-free closure for packing sets as a function of the integrality gap…
Matrix Minor Reformulation and SOCP-based Spatial Branch-and-Cut Method for the AC Optimal Power Flow Problem
Burak Kocuk, Santanu S. Dey, X. Andy Sun
Alternating current optimal power flow (AC OPF) is one of the most fundamental optimization problems in electrical power systems. It can be formulated as a semidefinite program (SD…