On algorithms operating in adversarial conditions Allison Bishop IEX and Columbia University A Bottom-Up Process of Knowledge Generation: Stage 1: Simple building blocks A Bottom-Up Process of Knowledge Generation: Stage 2: Complexity Introduced A Bottom-Up Process of Knowledge Generation: Stage 3: Complexity Maturing A Bottom-Up Process of Knowledge Generation Stage 4: Complexity Celebrated A Bottom-Up Process of Knowledge Generation: Stage 5: Complexity Subsumed A Bottom-Up Process of Knowledge Generation: Stage 6: Building Blocks Rejected Bottom-Up Knowledge Top-Down Knowledge Generation Generation We often think of knowledge as evolving like this: When it actually goes more like this: What are our building blocks for thinking about algorithms? What implicit assumptions are inherent in our abstractions? Are these assumptions reasonable? Are they avoidable?