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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 the 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, and thereby enhancing model interpretability and computational performance.

This 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 holds M.S. degrees in Electrical Engineering and Economics, and a Ph.D. in Operations Research. With over 12 years of experience in optimization and power systems modeling, he has collaborated with multiple federal agencies, including the Western Area Power Administration and the Bureau of Reclamation. His work has been supported by the U.S. Department of Energy through several water–power–focused projects.

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