The document summarizes adaptive trial designs, where accumulating data is used to modify aspects of an ongoing study without undermining its validity. It discusses sample size re-estimation, group sequential designs, adaptive randomization, and adaptive dose escalation to make trials more efficient and ethical. Seamless phase II/III designs that combine learning and confirmation phases into one protocol are also described. The FDA accepts some adaptive designs for approval but is cautious of other novel approaches. Case studies demonstrate how adaptations can substantially reduce sample sizes.