# Off-Policy Evaluation of Probabilistic Identity Data in Lookalike Modeling

## TL;DR

This study evaluates the effectiveness of probabilistically-constructed digital identities in lookalike modeling for targeted advertising, demonstrating significant lift in conversion rates and addressing biases in off-policy evaluation methods.

## Contribution

It introduces a novel off-policy evaluation approach for identity-based models, highlighting finite-sample bias issues and demonstrating substantial performance improvements over identity-ignorant baselines.

## Key findings

- ~70% lift in conversion rate with identity-powered models
- Factors of 4-32x improvement for identifiers with little data
- Identification of finite-sample bias in off-policy evaluation

## Abstract

We evaluate the impact of probabilistically-constructed digital identity data collected from Sep. to Dec. 2017 (approx.), in the context of Lookalike-targeted campaigns. The backbone of this study is a large set of probabilistically-constructed "identities", represented as small bags of cookies and mobile ad identifiers with associated metadata, that are likely all owned by the same underlying user. The identity data allows to generate "identity-based", rather than "identifier-based", user models, giving a fuller picture of the interests of the users underlying the identifiers. We employ off-policy techniques to evaluate the potential of identity-powered lookalike models without incurring the risk of allowing untested models to direct large amounts of ad spend or the large cost of performing A/B tests. We add to historical work on off-policy evaluation by noting a significant type of "finite-sample bias" that occurs for studies combining modestly-sized datasets and evaluation metrics involving rare events (e.g., conversions). We illustrate this bias using a simulation study that later informs the handling of inverse propensity weights in our analyses on real data. We demonstrate significant lift in identity-powered lookalikes versus an identity-ignorant baseline: on average ~70% lift in conversion rate. This rises to factors of ~(4-32)x for identifiers having little data themselves, but that can be inferred to belong to users with substantial data to aggregate across identifiers. This implies that identity-powered user modeling is especially important in the context of identifiers having very short lifespans (i.e., frequently churned cookies). Our work motivates and informs the use of probabilistically-constructed identities in marketing. It also deepens the canon of examples in which off-policy learning has been employed to evaluate the complex systems of the internet economy.