This paper presents two novel formulations for learning shared feature representations across multiple tasks. The idea is to pose the problem as that of learning a shared kernel, which is constructed from a given set of base kernels, leading to improved generalization in all the tasks. The first formulation employs a (l1, lp), p ≥ 2 mixed norm regularizer promoting sparse combinations of the ba...

We consider a production planning problem where the production process creates a mixture of desirable products and undesirable byproducts. In this production process, at any point in time the fraction of the mixture that is an undesirable byproduct increases monotonically as a function of the cumulative mixture production up to that time. The mathematical formulation of this continuous-time pro...

In this paper we consider the use of extended formulations in LP-based algorithms for mixed integer conic quadratic programming (MICQP). Through an homogenization procedure we generalize an existing extended formulation to general conic quadratic constraints. We then compare its effectiveness against traditional and extended formulation-based algorithms for MICQP. We find that this new extended...

This paper presents a new mixed integer nonlinear model (MINLP) for the periodic scheduling of multistage continuous plants with a single equipment unit per stage, where all units are subject to sequence dependent changeovers. The formulation is based on the resource task network (RTN) process representation, features combined processing and changeover tasks and does not require an iterative pr...

This paper considers the multi level uncapacitated facility location problem (MLUFLP). A new mixed integer linear programming (MILP) formulation is presented and validity of this formulation is given. Experimental results are performed on instances known from literature. The results achieved by CPLEX and Gurobi solvers, based on the proposed MILP formulation, are compared to the results obtaine...

In this paper, a robust reconfiguration approach based on Mixed Integer Programming (MIP) is proposed to minimize loss in distribution systems. A Depth-First Search (DFS) algorithm to enumerate possible loops provides radiality constraint. This provides a general solution to the radiality constraint for distribution system reconfiguration/expansion problems. Still, imprecision and ambiguity in ...

Two discontinuous Galerkin schemes for linear elastic waves in two and three dimensions with Dirichlet and optional Neumann boundary conditions are formulated: a pure displacement formulation and a mixed formulation with the displacement and a pressure parameter as variables. The schemes are implemented for two dimensions using Concepts with piecewise linear orthogonal basis functions for the d...

We consider an extended mixed nite element formulation for groundwater ow and transport problems with either a tensor hydraulic conductivity or a tensor dispersion. While the aquifer domain can be geometrically general, in our formulation the computational domain is rectangular. The approximating spaces for the mixed method are deened on a smooth curvilinear grid, obtained by a global mapping o...