8 problems

AE-KDE robustness conjecture. AE-KDE's particularly poor performance was due to its robustness: the reconstruction loss was low during the injected time period, causing false-negat…

Let $\tilde Q_n$ be the extended grid used for the rank-based higher-criticism test, and let $k_n$ denote its grid-size parameter. Grid-size conjecture. The upper-bound requirement…

An anomaly-search problem may be represented by an arbitrary tree rather than a binary tree, so paths from leaves to the root can have different lengths and node distributions may…

Pareto-tail conjecture. For Pareto tails, attaining the detection boundary $\rho^*(\beta)$ requires at least

Detection-boundary conjecture. For a similar class of models, namely a location family with a tail-decaying base distribution, the detection boundary $\rho^*(\beta)$ is attained pr…

Stream-length conjecture. If the tail of $F_0$ is sub-Gaussian, the requirement on the stream length can be relaxed to

Let Assumptions and hold, and let Algorithm be augmented with a function extra that estimates anomaly probabilities from recent observations and detects whether those estimates are…

In sensor 2, let the anomalies be modeled as potentially clustered and dependent rather than independently occurring, and let GEM-MED denote the proposed joint classification and a…