The Kolmogorov-Smirnov (KS) test is popularly used in many applications, such as anomaly detection, astronomy, database security and AI systems. One challenge remained untouched how we can obtain an explanation on why a set fails the KS test. In this paper, tackle problem of producing counterfactual explanations for data failing Concept-wise, propose notion most comprehensible explanations, whi...

Recently Duminil-Copin and Smirnov proved a long-standing conjecture of Nienhuis, made in 1982, that the connective constant of self-avoiding walks on the honeycomb lattice is √ 2 + √ 2. A key identity used in that proof was later generalised by Smirnov so as to apply to a general O(n) model with n ∈ [−2,2]. We modify this model by restricting to a half-plane and introducing a fugacity associat...

In this paper, we are interested in extending the classical KolmogorovSmirnov homogeneity test to compare two samples of interval-valued observed measurements. In such a case, the test result is interval-valued, and one major difficulty is to find the bounds of this set. We propose a very efficient computational method for approximating these bounds by using a p-box (pairs of upper and lower cu...

When a reliability analysis, survival analysis, or discrete-event simulation input modeling analysis is performed, it is typically the case that a modeler collects data associated with some system under consideration. Although this raw data provides an initial insight into the stochastic elements of the system, often it is desirable to construct a model of the system which is tractable for math...