In process mining, one of the main challenges is to discover a process model, while balancing several quality criteria. This often requires repeatedly setting parameters, discovering a map and evaluating it, which we refer to as process exploration. Commercial process mining tools like Disco, Perceptive and Celonis are easy to use and have many features, such as log animation, immediate paramet...

Metrical music is commonly perceived assegmented into phrases at durations above the levelof the tactus, up to temporal intervals ofapproximately 3 secs. These segments are normallycontiguous and non-overlapping. Examples ofsimilar temporal segmentation are found in humanutterances and in human mother-infant interactions.Standard reference beat patterns such as the C...

Consciousness combines information about attributes of the present multimodal sensory environment with relevant elements of the past. Information from each modality is continuously fractionated into distinct features, processed locally by different brain regions relatively specialized for extracting these disparate components and globally by interactions among these regions. Information is repr...

We explore the ability to distinguish random from non-random events. Randomness is defined in terms of radioactive decay whereas non-randomness is quantified by excess repetitions (“repeat”) or alternations (“switch”) between successive bits. In the first four experiments no mention was made of randomness, probability, or related concepts in task instructions. We found superior performance in d...

Given n sets on n elements it is shown that there exists a two-coloring such that all sets have discrepancy at most Kn>/2, K an absolute constant. This improves the basic probabilistic method with which K = c(ln«)1/2. The result is extended to 11 finite sets of arbitrary size. Probabilistic techniques are melded with the pigeonhole principle. An alternate proof of the existence of Rudin-Shapiro...

In this paper I offer necessary and sufficient conditions for implementability in a quasi-linear principal-agent model with arbitrary type spaces. I extend Rochet’s Theorem by allowing the principal to observe information that may be correlated with the agent’s type. By viewing the agent’s gains from misreporting as payments in a hypothetical zero-sum game, I show that an allocation is implemen...

All previous tests of local realism have studied correlations between single-particle measurements. In the present experiment, we have performed a Bell experiment on three particles in which one of the measurements corresponds to a projection onto a maximally-entangled state. We show theoretically and experimentally, that correlations between these entangled measurements and single-particle mea...

The problem of pricing Bermudan options using Monte Carlo and a nonparametric regression is considered. We derive optimal nonasymptotic bounds for a lower biased estimate based on the suboptimal stopping rule constructed using some estimates of continuation values. These estimates may be of different nature, they may be local or global, with the only requirement being that the deviations of the...

The dependency of wave velocity in reaction-diffusion (RD) systems on the local front curvature determines not only the stability of wave propagation, but also the fundamental properties of other spatial configurations such as vortices. This Letter gives the first derivation of a covariant eikonal-curvature relation applicable to general RD systems with spatially varying anisotropic diffusion p...