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The James Webb Space Telescope (JWST) NIRSpec instrument will allowrest-frame ultraviolet/optical spectroscopy of galaxies in the epoch ofreionization (EoR). Some galaxies may exhibit significant leakage ofhydrogen-ionizing photons into the intergalactic medium, resulting in faintnebular emission lines. We present a machine learning framework for identifyingcases of very high hydrogen-ionizing photon escape from galaxies based on thedata quality expected from potential NIRSpec observations of EoR galaxies inlensed fields. We train our algorithm on mock samples of JWST/NIRSpec data forgalaxies at redshifts $z=6$--10. To make the samples more realistic, we combinesynthetic galaxy spectra based on cosmological galaxy simulations withobservational noise relevant for $z\gtrsim 6$ objects of a brightness similarto EoR galaxy candidates uncovered in Frontier Fields observations of galaxycluster Abell-2744 and MACS-J0416. We find that ionizing escape fractions($f_\mathrm{esc}$) of galaxies brighter than $m_\mathrm{AB,1500} \approx 27$mag may be retrieved with mean absolute error $\Deltaf_\mathrm{esc}\approx$0.09(0.12) for 24h (1.5h) JWST/NIRSpec exposures atresolution R=100. For 24h exposure time, even fainter galaxies($m_\mathrm{AB,1500} < 28.5$ mag) can be processed with $\Deltaf_\mathrm{esc}\approx$0.14. This framework simultaneously estimates theredshift of these galaxies with a relative error less than 0.03 for both 24h($m_\mathrm{AB,1500} < 28.5$ mag) and 1.5h ($m_\mathrm{AB,1500} < 27$ mag)exposure times. We also consider scenarios where just a minor fraction ofgalaxies attain high $f_\mathrm{esc}$ and present the conditions required fordetecting a subpopulation of high $f_\mathrm{esc}$ galaxies within the dataset.

Identifying reionization-epoch galaxies with extreme levels of Lyman continuum leakage in James Webb Space Telescope surveys