"noted improvement" is correct and usable in written English.
You can use it when you are referring to a noticeable improvement in something. For example, "The teacher noticed a noted improvement in the student's test scores."
Within 3 days, he noted improvement in his gum infiltration.
One noted improvement had been made in implementing a Residential Support Officers (RSO) program to supervise undergraduates.
D'Antoni noted improvement because the Knicks outscored the Bobcats in the fourth quarter, 27-22, and topped 100 points for the first time in six games.
All of the city's 32 community school districts noted improvement on the test, which was introduced last year to help prepare students for state graduation requirements being phased in over the next four years.
The difference between output gaps a measure of the cyclical position of an economy—has also narrowed.Mr Brown also noted improvement on the flexibility test, which in essence asks whether wages can adjust promptly if necessary to restore competitiveness.
Fourteen (56%) of 25 patients noted improvement when the statin was discontinued.
Previously, he had also noted improvements in a January report.
But international observers who monitored the elections noted improvements over previous votes, which were widely seen as rigged.
In a preliminary assessment, the observer mission, from the Organization for Security and Cooperation in Europe, noted improvements in Belarussian election law.
It noted improvements in the military justice system that tries civilians under the state of emergency law, including the right to appeal.
In some cases noted improvements were maintained at subsequent follow-ups.
