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Date & Time:
Wednesday, August 20, 2025 | 2:00 PM ET

In an era dominated by data-driven insights, accurately modeling complex, non-linear relationships within multidimensional datasets remains a critical challenge. While AI’s ReLU neural networks offer a popular avenue, their “black box” nature and potential for over-parameterization can obscure true underlying dynamics and lead to inefficient models.

This webinar introduces a novel and highly effective Mixed-Integer Linear Programming (MILP) method for fitting Continuous Piecewise Linear (CPWL) functions to multidimensional data. Unlike heuristic approaches, our MILP formulation using Gurobi solver provides a rigorous, globally optimal solution, guaranteeing a parsimonious representation of non-linearities. The MILP method achieves superior efficiency, yielding significantly fewer linear pieces for a given approximation error, thereby enhancing model interpretability and computational performance.

The approach has applications in multiple fields, including power system modeling. This MILP-driven CPWL approach can precisely capture complex relationships, such as the interplay between hydropower output, water release, and hydraulic head, offering a more accurate and robust alternative for operational planning and optimization.

Who Should Attend:
Data scientists, optimization professionals, researchers, and engineers interested in advanced modeling techniques for multidimensional data fitting, particularly within energy and infrastructure systems.

Meet the Experts

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Quentin Ploussard, PhD

Energy Systems Engineer
Argonne National Laboratory

Quentin Ploussard, PhD

Energy Systems Engineer
Argonne National Laboratory

Quentin Ploussard is an Energy Systems Engineer at Argonne National Laboratory. He received a M.S. degree in Electrical Engineering degree, a M.S. degree in Economics from and a Ph.D. degree in Operations Research. He has 12+ years of experience in optimization techniques and power systems modeling. He has worked with several federal agencies, including the Western Area Power Administration and Bureau of Reclamation and received funding from DOE to work on multiple water-power oriented projects.

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