Random projections are typically used to study low distortion linear embeddings that approximately preserve Euclidean distances between pairs of points in a set S ⊂ R. Of particular interest is when the set S is a low-dimensional submanifold of R. Recent results by Baraniuk and Wakin [2007] and Clarkson [2007] shed light on how to pick the projection dimension to achieve low distortion of Eucli...

N.L. Chang1 S.R. Kulkarni1 J. Koplowitz2 1Department of Electrical Engineering Princeton University, Princeton, NJ 08544 [email protected], [email protected] (609) 258-6727 2Department of Electrical and Computer Engineering Clarkson University, Potsdam, NY 13676 [email protected] (315) 268-6545 ABSTRACT An adaptive chain coding algorithm based on using multiple templ...

Hyperoctree is a popular data structure for organizing multidimensional point data. The main drawback of this data structure is that its size and the run-time of operations supported by it are dependent upon the distribution of the points. Clarkson rectified the distributiondependency in the size of hyperoctrees by introducing compressed hyperoctrees. He presents an O(n log n) expected time ran...

Interrelationships of nutrients 3 Gillman, J. & Gillman, T. (1951). Perspectives in Human Mulnutvition. New York: Grune and Stratton. Harper, A. E. & Katayama, M. C. (1953). J. Nutv. 49, 261. Henry, K. M. & Kon, S. K. (1950). Biochim. biophys. Acta, 5, 455. Lea, C. H. & Hannan, K. S. (1950). Biochim. biophys. Actu, 4, 5 1 8 . Lofland, H. B. Jr., Clarkson, T. B. & Goodman, H. 0. (1961). Circulat...

Systemic capillary leak syndrome, or the Clarkson syndrome, is an extremely rare condition in which increased capillary permeability results in a massive shift of fluid into the extravascular space. This is followed rapidly by hypotensive shock, haemoconcentration, and, potentially, substantial oedema of the limbs resulting in an acute compartment syndrome. It is important for orthopaedic surge...

The famous Doignon-Bell-Scarf theorem is a Helly-type result about the existence of integer solutions to systems of linear inequalities. The purpose of this paper is to present the following quantitative generalization: Given an integer k, we prove that there exists a constant c(n, k), depending only on the dimension n and k, such that if a bounded polyhedron {x ∈ Rn : Ax ≤ b} contains exactly ...

Random sampling is an efficient method to deal with constrained optimization problems. In computational geometry, this method has been successfully applied, through Clarkson’s algorithm (Clarkson, 1996), to solve a general class of problems called violator spaces. In machine learning, TSVM is a learning method used when only a small fraction of labeled data is available, which implies to solve ...

As climate change-being a dire challenge for all mankind-impinges on every continent, the exigencies of reducing greenhouse gas emissions have gained soaring attention around world (Zou et al., 2022). Scientists made strides in understanding pivotality unconventional energies (Bustin and Clarkson, 1998;Zou 2018), particular coal-measure (e.g., coal-bed methane, shale gas, tight sandstone gas), ...

Abstract Keystroke-based behavioral biometrics have been proven effective for continuous user authentication. Current state-of-the-art algorithms achieved outstanding results in long text or short collected by doing some tasks. It remains a considerable challenge to authenticate users continuously and accurately with keystroke inputs uncontrolled settings. In this work, we propose Timely method...