Derivative Free Optimization Methods
Mathematics Project Topics
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Let be a continuous function on, and suppose is a smooth nonlinear function. Such functions arise in many applications, and very often minimizers are points at whichis not differentiable. Of particular interest is the case where the gradient and the Hessian cannot be computed for any . I present a practical, robust algorithm to locally minimize such functions, based on model sampling or search. No derivatives information is required by the algorithm
Subsurface Intelligence & Critical Mineral Exploration
Modern Geology projects now focus on Machine Learning in Mineral Targeting, Carbon Capture & Storage (CCS) Geologic Modeling, and Critical Mineral Systems (Lithium, REEs). If your research involves Hydrogeological Connectivity, Seismic Inversion, or Geotechnical Site Characterization, ensure your analysis follows the JORC or NI 43-101 reporting standards and utilizes robust 3D Subsurface Visualization and Geochemical Fingerprinting frameworks.
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