Leonid Pekelis

  • Citations Per Year
Learn More
OBJECTIVES The goal of the current study is to investigate the role of adjuvant radiation therapy (adjuvant RT) in minor salivary gland tumors (mSGT) using an established national database. METHODS The Surveillance, Epidemiology, and End Results (SEER) database was used to identify patients treated with or without adjuvant RT for mSGT from 1988 to 2008.(More)
We present an implementation of the [Marschner et al. 2003] model for importance sampling light reflected from hair. The implementation makes use of a version of Adaptive Importance Sampling (AIS), specialized to fit easily sampled distributions to BCSDFs. Our model is novel among importance sampling implementations in that it includes all the features of(More)
This paper reports on novel statistical methodology, which has been deployed by the commercial A/B testing platform Optimizely to communicate experimental results to their customers. Our methodology addresses the issue that traditional p-values and confidence intervals give unreliable inference. This is because users of A/B testing software are known to(More)
Attempts are made to employ persistent homology to infer topological properties of point cloud data. Two potential approaches are introducted and briefly evaluated, both relying on Monte Carlo estimation and the program PLEX [9]. First, homology signatures are compared to a null distribution that exhibits complete spatial randomness. This can be regarded as(More)
Figure 1: Three of the 8 scene geometries analyzed to estimate IE ⇢-expectation over pixel space. The rest are shown in figure 4. 1 Abstract Importance sampling methods for ray tracing are numerous. One reason is due to the lack of a robust, quantitative method for comparison. This tech memo takes strides to provide a framework for comparing sampling(More)
This paper presents statistical approaches to testing whether data are spherical in the topological sense, ie, they lie on a closed manifold with a hollow interior. We characterize the sphere by it’s Betti numbers and use the computational topology program PLEX [12] based on simplicial complexes to calculate the data’s Betti numbers. We use the parametric(More)
The results of [3] suggest a way to sort which barcode intervals correctly belong to the underlying manifold, M , and which can be regarded as topological noise. In particular, when barcodes are computed using sublevel sets of their distance function (see eq 12), all of the barcodes that start later than a linear function of W2(F̂n, F ) can be assumed to(More)
  • 1