  Standard bandit algorithms that assume continual reallocation of measurement
effort are challenging to implement due to delayed feedback and
infrastructural/organizational difficulties. Motivated by practical instances
involving a handful of reallocation epochs in which outcomes are measured in
batches, we develop a computation-driven adaptive experimentation framework
that can flexibly handle batching. Our main observation is that normal
approximations, which are universal in statistical inference, can also guide
the design of adaptive algorithms. By deriving a Gaussian sequential
experiment, we formulate a dynamic program that can leverage prior information
on average rewards. Instead of the typical theory-driven paradigm, we leverage
computational tools and empirical benchmarking for algorithm development. In
particular, our empirical analysis highlights a simple yet effective algorithm,
Residual Horizon Optimization, which iteratively solves a planning problem
using stochastic gradient descent. Our approach significantly improves
statistical power over standard methods, even when compared to Bayesian bandit
algorithms (e.g., Thompson sampling) that require full distributional knowledge
of individual rewards. Overall, we expand the scope of adaptive experimentation
to settings that are difficult for standard methods, involving limited
adaptivity, low signal-to-noise ratio, and unknown reward distributions.
