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In this study, first, the influences of technological innovation on energy efficiency were theoretically analyzed. Second, CO2 emission was used as an unexpected output in the evaluation of total factor energy efficiency. On the basis of the data of some provinces, cities, and autonomous regions in China from 2011 to 2022, the regional energy under carbon emission constraints was investigated by constructing an SBM-Undesirable model. This study innovatively divided technological innovation into three dimensions of innovation environment, innovation investment, and innovation market. The effects of technological innovation on energy efficiency were evaluated comprehensively by grey relational analysis. Results show that, in view of energy utilization status, most provinces in China report a low efficiency of energy utilization under carbon emission constraints, presenting obvious spatial and geographic differences. The provincial administration regions in the first and second echelons mainly concentrate in East China, while the provincial administrative regions in the third echelon mainly concentrate in Central, West, and Northeast China. The efficiency of energy utilization declines from East China to Northeast China to Central China and then to West China. Technological innovation has significant influences on energy efficiency, and its indexes are highly related to total factor energy efficiency under carbon constraints.
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