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aguilarmadeira/README.md

José F. Aguilar Madeira

Coordinator Professor (with Habilitation in Mathematics) · Department of Mathematics, ISEL — Polytechnic Institute of Lisbon

Integrated Researcher · IDMEC / LAETA, Instituto Superior Técnico, Universidade de Lisboa

Research in Optimization and Decision Sciences: derivative-free optimization, multiobjective optimization, global and local direct-search methods, and applied operations research developed in partnership with industry.

Published Algorithms

Method Description Reference
DMS — Direct MultiSearch Local multiobjective optimization without derivatives Custódio, Madeira, Vaz & Vicente, 2011
GLODS — Global and Local Optimization using Direct Search Single-objective global optimization Custódio & Madeira, Journal of Global Optimization, 2015
MultiGLODS Global multiobjective optimization without derivatives Custódio & Madeira, 2018
GLODS-SI — Scale-Invariant variant for engineering design optimization Companion code: GLODS_SI Madeira, Journal of Computational Design and Engineering, in press (JCDE-2026-065)

Recent theoretical and algorithmic work

A two-part contribution on mixed-variable optimisation, in which the structural and algorithmic components reference one another:

  • Structural foundation — Mixed-Variable Optimisation as a Metric Product Space: Transient Categorical Geometry and a Hierarchy of Local Optimality. Manuscript under review. Preprint: Zenodo. Companion code: mixed-spaces-supplementary.
  • Algorithmic instantiation — Deterministic Neighborhood Rotation (DNR) for Categorical Variables in Derivative-Free Optimization. Working paper. Preprint: Zenodo. Code release planned upon acceptance for publication.

Companion repositories

  • GLODS_SI — implementation and reproducibility artefacts for GLODS-SI
  • MOO_Prob_Matlab — 108 multiobjective test problems with seven scaling strategies
  • DFO_Benchmark_Suite — 504 self-contained MATLAB wrappers across 63 instances for benchmarking derivative-free methods
  • mixed-spaces-supplementary — supplementary code for a manuscript on mixed-variable optimisation as a metric product space

Research Interests

Derivative-free optimization · Multiobjective optimization · Direct-search methods · Decision Sciences and operations research · Industrial applications in transit operations, vehicle routing, postal logistics and energy systems

Profiles and Affiliations

ORCID 0000-0001-9523-3808 · CiênciaVitae 6F1E-DCF0-D6EC · ResearcherID N-6918-2016 · Scopus 7003405549 · Personal page

IDMEC · ISEL — Department of Mathematics

Indicators

h-index 25 · 2,100+ citations · Two PhDs (Mathematics, IST 2019; Mechanical Engineering, IST 2004) · Habilitation in Mathematics (Universidade de Évora, 2021)

Selected Awards

  • 2023 — IPL / CGD Scientific Excellence Award (Technologies and Engineering, triennium 2020–2022)
  • 2021 — IPL / CGD Award for Recognition of Activities with Community Relevance (triennium 2018–2020)
  • 2019–2022 — Four IPL / CGD merit diplomas for scientific work in Technologies and Engineering
  • 2004–2021 — Excelente (highest rating) in 18 consecutive ISEL teaching evaluations

Contact

ISEL · Rua Conselheiro Emídio Navarro 1, 1959-007 Lisboa, Portugal · jose.madeira (at) isel.pt IDMEC · Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal · aguilarmadeira (at) tecnico.ulisboa.pt

Pinned Loading

  1. DFO_Benchmark_Suite DFO_Benchmark_Suite Public

    Scaled benchmark suite for derivative-free optimization under heterogeneous variable scales (companion to JCDE-2026-065)

    MATLAB

  2. GLODS_SI GLODS_SI Public

    Scale-Invariant Global-Local Direct Search for Engineering Design Optimization (JCDE-2026-065)

    MATLAB

  3. MOO_Prob_Matlab MOO_Prob_Matlab Public

    MATLAB

  4. mixed-spaces-supplementary mixed-spaces-supplementary Public

    Mixed-variable optimisation as a metric product space — supplementary code for a manuscript on transient categorical geometry and a hierarchy of local optimality.

    Python