"AI systems–like people–must often act despite partial and uncertain information. First, the information received may be unreliable (e.g., a patient may mis-remember when a disease started, or may not have noticed a symptom that is important to a diagnosis). In addition, rules connecting real-world events can never include all the factors that might determine whether their conclusions really apply (e.g., the correctness of basing a diagnosis on a lab test depends whether there were conditions that might have caused a false positive, on the test being done correctly, on the results being associated with the right patient, etc.) Thus in order to draw useful conclusions, AI systems must be able to reason about the probability of events, given their current knowledge." – from David Leake, Reasoning Under Uncertainty
In the tabular setting or with linear function approximation, our meta theorem shows that the performance gap incurred by ourapproachachievestheoptimal eO min(H3/2/Nexp,H/ p Nexp dependency, undersignificantly weakerassumptions compared topriorwork.
The design of Priv-PC follows a novel paradigm called sieve-and-examine which uses a small amount of privacy budget to filter out "insignificant" queries, and leverages the remaining budget to obtain highly accurate answers for the "significant" queries.
Time-series forecasting tasks are central to a broad range of application domains, including stock pricepredictions [1,2],servicedemandforecasting [3,4],andmedicalprognoses[5-7].
Although extensivework hasrecently been done inthisfield, robustly distilling explicit model forms from very sparse data with considerable noise remains intractable.