  We introduce and define the novel problem of multi-distribution information
retrieval (IR) where given a query, systems need to retrieve passages from
within multiple collections, each drawn from a different distribution. Some of
these collections and distributions might not be available at training time. To
evaluate methods for multi-distribution retrieval, we design three benchmarks
for this task from existing single-distribution datasets, namely, a dataset
based on question answering and two based on entity matching. We propose simple
methods for this task which allocate the fixed retrieval budget (top-k
passages) strategically across domains to prevent the known domains from
consuming most of the budget. We show that our methods lead to an average of
3.8+ and up to 8.0 points improvements in Recall@100 across the datasets and
that improvements are consistent when fine-tuning different base retrieval
models. Our benchmarks are made publicly available.
