Acesulfame K and DNA damage:
A study by Bandyopadhyay A et al found that acesulfame K at high doses caused damage to DNA in bone marrow cells of mice. (8)
Acesulfame K and cancers:
The National Toxicology Program did not find an increase in incidence of cancers in mice at high doses (9)
Neotame and Advantame:
Neotame and Avantame is derived from aspartame. It is a chemically changed derivative of aspartame to enhance sweetness so that less may be needed at a lesser cost to sweeten foods.
Regarding the safety of Neotame and Avantame, an overview of animal and human trials showed it to be generally safe. (10)
Stevia:
Stevia is a natural sweetener 250-300 times sweeter than sugar derived from the Stevia plant. Stevia does not provide significant calories or nutrition.