5 papers
Valid Inference with Synthetic Data via Task Exchangeability
Lezhi Tan, Tijana Zrnic
There is a proliferation of work arguing for the use of synthetic data in scientific research. For example, social scientists are arguing for the use of LLM-generated "silicon samp…
When Should Humans Step In? Optimal Human Dispatching in AI-Assisted Decisions
Lezhi Tan, Naomi Sagan, Lihua Lei +1
AI systems increasingly assist human decision making by producing preliminary assessments of complex inputs. However, such AI-generated assessments can often be noisy or systematic…
Epsilon-Minimax Solutions of Statistical Decision Problems
Andrés Aradillas Fernández, José Blanchet, José Luis Montiel Olea +3
A decision rule is epsilon-minimax if it is minimax up to an additive factor epsilon. We present an algorithm for provably obtaining epsilon-minimax solutions for a class of statis…
Approximate Least-Favorable Distributions and Nearly Optimal Tests via Stochastic Mirror Descent
Andrés Aradillas Fernández, José Blanchet, José Luis Montiel Olea +3
We consider a class of hypothesis testing problems where the null hypothesis postulates distributions for the observed data, and there is only one possible distribution under t…
Accelerate Langevin Sampling with Birth-Death Process and Exploration Component
Lezhi Tan, Jianfeng Lu
Sampling a probability distribution with known likelihood is a fundamental task in computational science and engineering. Aiming at multimodality, we propose a new sampling method…