"importance to improve" is correct and usable in written English.
You can use it whenever you need to emphasize that something should be improved or changed. For example: "The importance to improve the healthcare system in the United States cannot be understated."
Categorization of maritime vessels is of utmost importance to improve the capabilities of such systems.
Having such information is of great importance to improve international contractors' risk management practice.
Early disease detection is of utmost importance to improve HGSOC cure rate.
Our study addresses that it is of fundamental importance to improve the quality of life for an increasing ageing society.
Formulating rutin as drug nanocrystals has significant importance to improve its physicochemical properties, especially its oral bioavailability.
The development of highly efficient photocatalytic reactor is of importance to improve the performance of the photocatalytic reduction of CO2.
Most importantly, the size distribution of nanoparticle and efficient loading of the noble-metal catalyst should be of great importance to improve the performance of microengines.
Therefore, it is of great importance to improve the visible-light harvesting and the separation of photoinduced electron hole pairs in TiO2 for its further applications.
This is of prime importance to improve cycle length, catalytic activity and selectivity towards heavy paraffins of FT cobalt-based catalysts.
The proper understanding of biomolecular recognition mechanisms that take place in a drug target is of paramount importance to improve the efficiency of drug discovery and development.
Understanding the flow and residence time behaviour in reaction vessels is of crucial importance to improve product yield or the extraction of mineral species from ores.
