Proximal Basin Hopping constructs a global optimization algorithm with high-probability convergence guarantees to the global minimum using finite samples.
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ZOPPA at fixed positive temperature converges under minimal assumptions by acting as an exact proximal point method on a smoothed objective, with explicit connections back to the original function and convergence for its sampled version.
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Proximal basin hopping: global optimization with guarantees
Proximal Basin Hopping constructs a global optimization algorithm with high-probability convergence guarantees to the global minimum using finite samples.
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Convergence of zeroth-order proximal point algorithms in the high-temperature regime
ZOPPA at fixed positive temperature converges under minimal assumptions by acting as an exact proximal point method on a smoothed objective, with explicit connections back to the original function and convergence for its sampled version.