7 papers
Strong duality for the GROW criterion
Ashwin Ram, Martin Larsson, Johannes Ruf +1
This paper presents general strong duality results when testing hypotheses by betting against them. A bet is an e-variable for a composite null hypothesis $\Pcal$: a nonnegative ra…
Semantic Motion Anchors: Bridging Motion and Meaning in Co-Speech Gestures
Varsha Suresh, Mohammad Mahdi Abootorabi, Mohamed Salman +5
Learning a shared representation between spoken text and gesture is central to co-speech gesture retrieval, synthesis, and understanding, but remains challenging for semantically m…
Optimal sequential tests yield log-optimal e-processes
Ashwin Ram, Aaditya Ramdas
It has been recently shown that e-processes are sufficient for sequential testing in the following sense: every level- sequential test can be obtained by thresholding an e-proce…
The optimal betting wealth growth rate
Ashwin Ram, Aaditya Ramdas
This paper characterizes the best possible rate of growth of wealth in a Kelly betting game when repeatedly betting against a general i.i.d. null hypothesis , but the…
Power one sequential tests exist for weakly compact against
Ashwin Ram, Aaditya Ramdas
We study power-one sequential testing for an i.i.d. law on a Polish sample space. Given a nonempty composite null class $\Pcal\subseteq\mathcal M_1(\X)$, we ask when there exists a…
Asymptotically optimal sequential change detection for bounded means
Ashwin Ram, Aaditya Ramdas
We consider the problem of quickest changepoint detection under the Average Run Length (ARL) constraint where the pre-change and post-change laws lie in composite families $\mathsc…
An Asymptotic Law of the Iterated Logarithm for
Ashwin Ram, Aaditya Ramdas
The population is a fundamental quantity that appears in lower bounds for (asymptotically) optimal regret of pure-exploration stochastic bandit algorithms, and…