  In this paper we present a catalog of 4584 eclipsing binaries observed during
the first two years (26 sectors) of the TESS survey. We discuss selection
criteria for eclipsing binary candidates, detection of hither-to unknown
eclipsing systems, determination of the ephemerides, the validation and triage
process, and the derivation of heuristic estimates for the ephemerides. Instead
of keeping to the widely used discrete classes, we propose a binary star
morphology classification based on a dimensionality reduction algorithm.
Finally, we present statistical properties of the sample, we qualitatively
estimate completeness, and discuss the results. The work presented here is
organized and performed within the TESS Eclipsing Binary Working Group, an open
group of professional and citizen scientists; we conclude by describing ongoing
work and future goals for the group. The catalog is available from
http://tessEBs.villanova.edu and from MAST.
