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A search is presented for the associated production of a Higgs boson with atop quark pair in the all-jet final state. Events containing seven or more jetsare selected from a sample of proton-proton collisions at $\sqrt{s} =$ 13 TeVcollected with the CMS detector at the LHC in 2016, corresponding to anintegrated luminosity of 35.9 fb$^{-1}$. To separate the$\mathrm{t}\overline{\mathrm{t}}$H signal from the irreducible$\mathrm{t}\overline{\mathrm{t}}+\mathrm{b}\overline{\mathrm{b}}$ background,the analysis assigns leading order matrix element signal and backgroundprobability densities to each event. A likelihood-ratio statistic based onthese probability densities is used to extract the signal. The results areprovided in terms of an observed $\mathrm{t}\overline{\mathrm{t}}$H signalstrength relative to the standard model production cross section$\mu=\sigma/\sigma_\mathrm{SM}$, assuming a Higgs boson mass of 125 GeV. Thebest fit value is $\hat{\mu} =$ 0.9 $\pm$ 0.7 (stat) $\pm$ 1.3 (syst) = 0.9$\pm$ 1.5 (tot), and the observed and expected upper limits are, respectively,$\mu <$ 3.8 and $<$ 3.1 at 95% confidence levels.

Search for $\mathrm{t}\overline{\mathrm{t}}$H production in the all-jet final state in proton-proton collisions at $\sqrt{s}=$ 13 TeV