"based on acknowledgement" is a correct and usable phrase in written English.
You can use this phrase to indicate that something (an action, an opinion, a decision, etc.) is founded upon a recognition or acceptance of a certain fact. For example, "The settlement was based on acknowledgement of both parties' wrongdoing."
"As one of the smallest programs among those surveyed and ranked by the U.S. News & World Report, being ranked in the top 10 for the second consecutive year is particularly significant since it testifies that last year's ranking was not just a one-time recognition but firmly based on broad acknowledgement of our program's recent success by peers," Kim said.
Science is one of humanity's highest achievements because it is based on the acknowledgement that humans have biases and values.
Donor countries made commitments based on an acknowledgement of a particular responsibility, historical or otherwise, way back 40 years ago.
A disposal system can be replaced by more elaborate methods, based on the acknowledgement of the importance of introducing redundancy in the safety systems.
And what we'd gain most of all is a new social contract across the generations, based on an acknowledgement that the growing ranks of older people aren't going to hold Britain back – they're going to help it fly.
Based on this acknowledgement, the robot keeps the vertical rod of the tool in this range.
This section is confined to the examination of an accuracy measure which is based on the acknowledgement that in detecting edges, depending on the specific application, the consequences of a false positive may be quite different from the consequences of a false negative.
Rather, it is based on the acknowledgement that delivering integrated projects, classes, and programs in K-12 schools is the present major agenda for STEM education of the Department of Education within the state examined a direction heavily driven by industry and business for the perceived benefits towards desirable qualities of the work force.
The approach is based on an acknowledgement that the organisation of work practices needs to reflect the specific local contexts of individual hospitals rather than generic best practices.
Expectant management has been practiced based on the acknowledgement that the natural course of many early EPs is a self limiting process, ultimately resulting in tubal abortion or reabsorption.
