Knowledge distillation trains a small model to imitate a large one, capturing much of its behaviour in something far cheaper to run.
Quantization keeps the same model and stores its numbers less precisely. Distillation trains a genuinely smaller model to imitate a bigger one.
Knowledge distillation trains a small model to imitate a large one. The small model learns from the large model's outputs rather than only from the original labels.
The insight is that the teacher's full output distribution carries more information than a hard label. Knowing an image is 70 percent cat and 25 percent fox teaches more than knowing it is a cat.
Think of it like this. Think of an expert who does not just mark answers right or wrong, but says how confident they are and what the plausible alternatives were. That extra signal is what makes the student learn faster.