Browsing Publications  Mathematics, Statistics, and Computer Science by Title
Now showing items 6180 of 169

The Impact of the Exploring Computer Science Instructional Model in Chicago Public Schools
(Institute of Electrical and Electronics Engineers, 2016)As part of the Taste of Computing project, the Exploring Computer Science (ECS) instructional model has been expanded to many high schools in the Chicago Public Schools system. We report on initial outcomes showing that ... 
Inertia of Loewner matrices.
(Indiana University Mathematics Journal, 2016)Given positive numbers p_1 < p_2 < ... < p_n, and a real number r let L_r be the n by n matrix with its (i,j) entry equal to (p_i^rp_j^r)/(p_ip_j). A wellknown theorem of C. Loewner says that L_r is positive definite ... 
Inferential models: A framework for priorfree posterior probabilistic inference
(Taylor & Francis, 201303)Posterior probabilistic statistical inference without priors is an important but so far elusive goal. Fisher's ducial inference, Dempster{Shafer theory of belief func tions, and Bayesian inference with default priors ... 
Interface control and snow crystal growth.
(American Physical Society, 201602)The growth of snow crystals is dependent on the temperature and saturation of the environment. In the case of dendrites, Reiter's local twodimensional model provides a realistic approach to the study of dendrite growth. ... 
Interface control and snow crystal growth.
(American Physical Society, 20160208)The growth of snow crystals is dependent on the temperature and saturation of the environment. In the case of dendrites, Reiter's local twodimensional model provides a realistic approach to the study of dendrite growth. ... 
Inverse expander mixing for hypergraphs.
(Electronic Journal of Combinatorics, 20160429)We formulate and prove inverse mixing lemmas in the settings of simplicial complexes and kuniform hypergraphs. In the hypergraph setting, we extend results of Bilu and Linial for graphs. In the simplicial complex setting, ... 
Iterated elementary embeddings and the model theory of infinitary logic.
(Elsevier Masson, 201603)We use iterations of elementary embeddings derived from countably complete ideals on ω1 to provide a uniform proof of some classical results connecting the number of models of cardinality ℵ1 in various infinitary logics ... 
An Iterative Algorithm for Robust Kernel Principal Component Analysis
(Elsevier, 201111)We introduce a technique to improve iterative kernel principal component analysis (KPCA) robust to outliers due to undesirable artifacts such as noises, alignment errors, or occlusion. The proposed iterative robust KPCA ... 
Joint Estimation Of Sparse Multivariate Regression And Conditional Graphical Models
(Academia Sinica, Institute of Statistical Science, 201507)Multivariate regression model is a natural generalization of the classical univariate regression model for fitting multiple responses. In this paper, we propose a highdimensional multivariate conditional regression model ... 
Large portfolio allocation using highfrequency financial data
(International Press, 201801)Asset allocation strategy involves dividing an investment portfolio among different assets according to their risk levels. In recent decades, estimating volatilities of asset returns based on highfrequency data has emerged ... 
Linear Series on Ribbons
(American Mathematical Society, 20100518)A ribbon is a double structure on P1. The geometry of a ribbon is closely related to that of a smooth curve. In this paper we consider linear series on ribbons. Our main result is an explicit determinantal description for ... 
Listen carefully: The risk of error in spoken medication orders
(Elsevier, 201005)Clinicians and patients often confuse drug names that sound alike (Hicks, Becker, & Cousins, 2008). We conducted auditory perception experiments to assess the impact of similarity, familiarity, background noise and other ... 
Local holomorphic De Rham cohomology
(International Press, 201003)Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by HuangLukYau are two important local invariants for varieties with isolated singularities. We ... 
Making Sense of HardyWeinberg Equilibrium.
(University of California Press, 20151001)A useful approach to answering the Next Generation Science Standards' call for teaching students to demonstrate understanding using mathematical representations is use of the HardyWeinberg equilibrium (HW eq). This article ... 
Margulis Numbers for Haken Manifolds
(Springer Verlag, 2012)For every closed orientable hyperbolic Haken 3manifold and, more generally, for any orientable hyperbolic 3manifold M which is homeomorphic to the interior of a Haken manifold, the number 0:286 is a Margulis number. ... 
Mathematical and computational methods for semiclassical Schrödinger equations
(Cambridge University Press, 201105)We consider timedependent (linear and nonlinear) Schr¨odinger equations in a semiclassical scaling. These equations form a canonical class of (nonlinear) dispersive models whose solutions exhibit highfrequency oscillations. ... 
Maximal orders in unramified central simple algebras
(Elsevier, 201604)Using depth of coherent sheaves on noetherian algebraic stacks, we construct nonAzumaya maximal orders in unramified central simple algebras over schemes of dimension at least 3. 
The Metamathematics of Random Graphs
(Elsevier Masson, 2006)We explain and summarize the use of logic to provide a uniform perspective for studying limit laws on finite probability spaces. This work connects developments in stability theory, finite model theory, abstract model ... 
The minimal model program for the Hilbert scheme of points on P2 and Bridgeland stability
(Elsevier, 201303)In this paper, we study the birational geometry of the Hilbert scheme P2[n] of npoints on P2. We discuss the stable base locus decomposition of the effective cone and the corresponding birational models. We give modular ... 
Minimum Clinically Important Difference in Medical Studies
(Wiley, 20150301)In clinical trials, minimum clinically important difference (MCID) has attracted increasing interest as an important supportive clinical and statistical inference tool. Many estimation methods have been developed based ...