… To illustrate the potential improvement offered by spatially adaptive partitioning methods,
we consider a minimum volume set estimator based on recursive dyadic (quadsplit) partitions. …

… We seek a subset of Rd such that points inside the set … is to estimate a minimum volume
set (MV-set) for the probability … Specifically, givena known reference measure ,i, theMV-set …

… This data set, also available from the UCI Machine Learning Repository, has 2,310 instances
of the features describing one of the seven different images (a brick face, a sky, a foliage, a …

… of confidence sets is central to data science and machine learning, serving as the … ment
learning algorithms [1]. This paper studies the geometry of the minimum-volume confidence sets …

… In this section we illustrate through a toy example how our learning method approximates
minimum volume sets. We consider how different levels of quantization impact level sets. We …

… learning regularization techniques that advance beyond previous applications of machine
learning for determining the minimum volume. … machine learning model, we establish four sets …

… data set, and then extend that scenario to only one-class learning. They show that one-class
SVM learning … version of their paper appears in this Volume). Though all these papers shed …

… to a corresponding minimum volume set and, implicitly adopting a hypothesis testing
perspective, each set is associated with a test. An inherent ordering of these sets yields a natural …

… is based on the theoretical concept of Minimum Volume Sets. We have demonstrated high
detection rates … Our future work will focus on integrating face detection algorithms to learn the …

… minimum volume is suggested to impose the sparseness constraint on NMF. Minimum-volume…
To be consistent with (5), we simply set = 0 and consider the following MVC NMF model: …