The present disclosure generally relates to an aqueous curable binder composition comprising (i) a benzoic sulfimide, (ii) a carbohydrate or alcohol, and (iii) the reaction product of (i) and (ii), at a defined ratio of carbohydrate or alcohol compound to benzoic sulfimide compound. In some embodiments, the aqueous curable binder is produced using renewable materials and is characterized by improved cure rates. In additional embodiments, the composition is disposed onto an assembly of fibers or particles for the production of an insulation product.