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Real-Time Wavelet Compression and Self-Modeling Curve
REAL-TIME WAVELET COMPRESSION AND SELF-MODELING CURVE RESOLUTION FOR ION MOBILITY SPECTROMETRY A dissertation presented to the faculty of the College of Arts and Sciences of Ohio University In partial fulfillment of the requirements for the degree Doctor of Philosophy Guoxiang Chen March 2003 This dissertation entitled REAL-TIME WAVELET COMPRESSION AND SELF-MODELING CURVE RESOLUTION FOR ION MOBILITY SPECTROMETRY BY GUOXIANG CHEN has been approved for the Department of Chemistry and Biochemistry and the College of Arts and Sciences by Peter de B. Harrington Associate Professor of Chemistry and Biochemistry Leslie A. Flemming Dean, College of Arts and Sciences CHEN, GUOXIANG. Ph.D. March 2003. Analytical Chemistry Real-Time Wavelet Compression and Self-Modeling Curve Resolution for Ion Mobility Spectrometry (203 pp.) Director of Dissertation: Peter de B. Harrington Chemometrics has proven useful for solving chemistry problems. Most of the chemometric methods are applied in post-run analyses, for which data are processed after being collected and archived. However, in many applications, real-time processing is required to obtain knowledge underlying complex chemical systems instantly. Moreover, real-time chemometrics can eliminate the storage burden for large amounts of raw data that occurs in post-run analyses. These attributes are important for the construction of portable intelligent instruments. Ion mobility spectrometry (IMS) furnishes inexpensive, sensitive, fast, and portable sensors that afford a wide variety of potential applications. SIMPLe-to-use Interactive Self-modeling Mixture Analysis (SIMPLISMA) is a self-modeling curve resolution method that has been demonstrated as an effective tool for enhancing IMS measurements. However, all of the previously reported studies have applied SIMPLISMA as a post-run tool. -
Happy 80Th, Ulf!
From SIAM News, Volume 37, Number 7, September 2004 Happy 80th, Ulf! My Grenander Number is two, a distinction that goes all the way back to 1958. In 1951, I wrote a paper on an aspect of the Bergman kernel function with Henry O. Pollak (who later became head of mathematics at the Bell Telephone Laboratories). In 1958, Ulf Grenander, Henry Pollak, and David Slepian wrote on the distribution of quadratic forms in normal varieties. Through my friendship with Henry, I learned of Ulf’s existence, and when Ulf came to Brown in 1966, I felt that this friendship would be passed on to me. And so it turned out. I had already read and appreciated the second of Ulf’s many books: On Toeplitz Forms and Their Applications (1958), written jointly with Gabor Szegö. Over the years, my wife and I have lived a block away from Ulf and “Pi” Grenander. (Pi = π = 3.14159...) We have known their children and their grandchildren. And I shouldn’t forget their many dogs. We have enjoyed their hospitality on numerous occasions, including graduations, weddings, and Lucia Day (December 13). We have visited with them in their summer home in Vastervik, Sweden. We have sailed with them around the nearby islands in the Baltic. And yet, despite the fact that our offices are separated by only a few feet, despite the fact that I have often pumped him for mathematical information and received mathematical wisdom in return, my Grenander Number has never been reduced to one. On May 7, 2004, about fifty people gathered in Warwick, Rhode Island, for an all-day celebration, Ulf Grenander from breakfast through dinner, in honor of Ulf’s 80th birthday. -
Curriculum Vitae
Jeff Goldsmith 722 W 168th Street, 6th floor New York, NY 10032 jeff[email protected] Date of Preparation April 20, 2021 Academic Appointments / Work Experience 06/2018{Present Department of Biostatistics Mailman School of Public Health, Columbia University Associate Professor 06/2012{05/2018 Department of Biostatistics Mailman School of Public Health, Columbia University Assistant Professor 01/2009{12/2010 Department of Biostatistics Bloomberg School of Public Health, Johns Hopkins University Research Assistant (R01NS060910) 01/2008{12/2009 Department of Biostatistics Bloomberg School of Public Health, Johns Hopkins University Research Assistant (U19 AI060614 and U19 AI082637) Education 08/2007{05/2012 Johns Hopkins University PhD in Biostatistics, May 2012 Thesis: Statistical Methods for Cross-sectional and Longitudinal Functional Observations Advisors: Ciprian Crainiceanu and Brian Caffo 08/2003{05/2007 Dickinson College BS in Mathematics, May 2007 Jeff Goldsmith 2 Honors 04/2021 Dean's Excellence in Leadership Award 03/2021 COPSS Leadership Academy For Emerging Leaders in Statistics 06/2017 Tow Faculty Scholar 01/2016 Public Voices Fellow 10/2013 Calderone Junior Faculty Prize 05/2012 ASA Biometrics Section Travel Award 12/2011 Invited Paper in \Highlights of JCGS" Session at Interface 05/2011 Margaret Merrell Award for Outstanding Research by a Biostatistics Doc- toral Student 05/2011 School-wide Teaching Assistant Recognition Award 05/2011 Helen Abbey Award for Excellence in Teaching 03/2011 ENAR Distinguished Student Paper Award 05/2010 Jane and Steve Dykacz Award for Outstanding Paper in Medical Statistics 05/2009 Nominated for School-wide Teaching Assistant Recognition Award 08/2007{05/2012 Sommer Scholar 05/2007 James Fowler Rusling Prize 05/2007 Lance E. -
*Revelle, Roger Baltimore 18, Maryland
NATIONAL ACADEMY OF SCIENCES July 1, 1962 OFFICERS Term expires President-Frederick Seitz June 30, 1966 Vice President-J. A. Stratton June 30, 1965 Home Secretary-Hugh L. Dryden June 30, 1963 Foreign Secretary-Harrison Brown June 30, 1966 Treasurer-L. V. Berkner June 30, 1964 Executive Officer Business Manager S. D. Cornell G. D. Meid COUNCIL *Berkner L. V. (1964) *Revelle, Roger (1965) *Brown, Harrison (1966) *Seitz, Frederick (1966) *Dryden, Hugh L. (1963) *Stratton, J. A. (1965) Hutchinson, G. Evelyn (1963) Williams, Robley C. (1963) *Kistiakowsky, G. B. (1964) Wood, W. Barry, Jr. (1965) Raper, Kenneth B. (1964) MEMBERS The number in parentheses, following year of election, indicates the Section to which the member belongs, as follows: (1) Mathematics (8) Zoology and Anatomy (2) Astronomy (9) Physiology (3) Physics (10) Pathology and Microbiology (4) Engineering (11) Anthropology (5) Chemistry (12) Psychology (6) Geology (13) Geophysics (7) Botany (14) Biochemistry Abbot, Charles Greeley, 1915 (2), Smithsonian Institution, Washington 25, D. C. Abelson, Philip Hauge, 1959 (6), Geophysical Laboratory, Carnegie Institution of Washington, 2801 Upton Street, N. W., Washington 8, D. C. Adams, Leason Heberling, 1943 (13), Institute of Geophysics, University of Cali- fornia, Los Angeles 24, California Adams, Roger, 1929 (5), Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois Ahlfors, Lars Valerian, 1953 (1), Department of Mathematics, Harvard University, 2 Divinity Avenue, Cambridge 38, Massachusetts Albert, Abraham Adrian, 1943 (1), 111 Eckhart Hall, University of Chicago, 1118 East 58th Street, Chicago 37, Illinois Albright, William Foxwell, 1955 (11), Oriental Seminary, Johns Hopkins University, Baltimore 18, Maryland * Members of the Executive Committee of the Council of the Academy. -
Multivariate Chemometrics As a Strategy to Predict the Allergenic Nature of Food Proteins
S S symmetry Article Multivariate Chemometrics as a Strategy to Predict the Allergenic Nature of Food Proteins Miroslava Nedyalkova 1 and Vasil Simeonov 2,* 1 Department of Inorganic Chemistry, Faculty of Chemistry and Pharmacy, University of Sofia, 1 James Bourchier Blvd., 1164 Sofia, Bulgaria; [email protected]fia.bg 2 Department of Analytical Chemistry, Faculty of Chemistry and Pharmacy, University of Sofia, 1 James Bourchier Blvd., 1164 Sofia, Bulgaria * Correspondence: [email protected]fia.bg Received: 3 September 2020; Accepted: 21 September 2020; Published: 29 September 2020 Abstract: The purpose of the present study is to develop a simple method for the classification of food proteins with respect to their allerginicity. The methods applied to solve the problem are well-known multivariate statistical approaches (hierarchical and non-hierarchical cluster analysis, two-way clustering, principal components and factor analysis) being a substantial part of modern exploratory data analysis (chemometrics). The methods were applied to a data set consisting of 18 food proteins (allergenic and non-allergenic). The results obtained convincingly showed that a successful separation of the two types of food proteins could be easily achieved with the selection of simple and accessible physicochemical and structural descriptors. The results from the present study could be of significant importance for distinguishing allergenic from non-allergenic food proteins without engaging complicated software methods and resources. The present study corresponds entirely to the concept of the journal and of the Special issue for searching of advanced chemometric strategies in solving structural problems of biomolecules. Keywords: food proteins; allergenicity; multivariate statistics; structural and physicochemical descriptors; classification 1. -
Copula-Based Analysis of Dependent Data with Censoring and Zero Inflation
Copula-Based Analysis of Dependent Data with Censoring and Zero Inflation by Fuyuan Li B.S. in Telecommunication Engineering, May 2012, Beijing University of Technology M.S. in Statistics, May 2014, The George Washington University A Dissertation submitted to The Faculty of The Columbian College of Arts and Sciences of The George Washington University in partial satisfaction of the requirements for the degree of Doctor of Philosophy January 10, 2019 Dissertation directed by Huixia J. Wang Professor of Statistics The Columbian College of Arts and Sciences of The George Washington University certifies that Fuyuan Li has passed the Final Examination for the degree of Doctor of Philosophy as of December 7, 2018. This is the final and approved form of the dissertation. Copula-Based Analysis of Dependent Data with Censoring and Zero Inflation Fuyuan Li Dissertation Research Committee: Huixia J. Wang, Professor of Statistics, Dissertation Director Tapan K. Nayak, Professor of Statistics, Committee Member Reza Modarres, Professor of Statistics, Committee Member ii c Copyright 2019 by Fuyuan Li All rights reserved iii Acknowledgments This work would not have been possible without the financial support of the National Science Foundation grant DMS-1525692, and the King Abdullah University of Science and Technology office of Sponsored Research award OSR-2015-CRG4-2582. I am grateful to all of those with whom I have had the pleasure to work during this and other related projects. Each of the members of my Dissertation Committee has provided me extensive personal and professional guidance and taught me a great deal about both scientific research and life in general. -
A Pattern Theoretic Approach
The Modelling of Biological Growth: a Pattern Theoretic Approach Nataliya Portman, Postdoctoral fellow McConnell Brain Imaging Centre Montreal Neurological Institute McGill University June 21, 2011 The Modelling of Biological Growth: a Pattern Theoretic Approach 2/ 47 Dedication This research work is dedicated to my PhD co-supervisor Dr. Ulf Grenander, the founder of Pattern Theory Division of Applied Mathematics, Brown University Providence, Rhode Island, USA. http://www.dam.brown.edu/ptg/ The Modelling of Biological Growth: a Pattern Theoretic Approach 3/ 47 Outline 1 Mathematical foundations of computational anatomy 2 Growth models in computational anatomy 3 A link between anatomical models and the GRID model 4 GRID view of growth on a fine time scale 5 GRID equation of growth on a coarse time scale (macroscopic growth law) 6 Image inference of growth properties of the Drosophila wing disc 7 Summary, concluding remarks and future perspectives 8 Current work The Modelling of Biological Growth: a Pattern Theoretic Approach 4/ 47 Mathematical foundations of computational anatomy Mathematical foundations of computational anatomy Computational anatomy1 focuses on the precise study of the biological variability of brain anatomy. D'Arcy Thompson laid out the vision of this discipline in his treatise \On Growth and Form" 2. In 1917 he wrote \In a very large part of morphology, our essential task lies in the comparison of related forms rather than in the precise definition of each; and the deformation of a complicated figure may be a phenomenon easy of comprehension, though the figure itself may be left unanalyzed and undefined." D'Arcy Thompson introduced the Method of Coordinates to accomplish the process of comparison. -
Principal Component Analysis
Tutorial n Chemometrics and Intelligent Laboratory Systems, 2 (1987) 37-52 Elsevier Science Publishers B.V., Amsterdam - Printed in The Netherlands Principal Component Analysis SVANTE WOLD * Research Group for Chemometrics, Institute of Chemistry, Umei University, S 901 87 Urned (Sweden) KIM ESBENSEN and PAUL GELADI Norwegian Computing Center, P.B. 335 Blindern, N 0314 Oslo 3 (Norway) and Research Group for Chemometrics, Institute of Chemistry, Umed University, S 901 87 Umeci (Sweden) CONTENTS Intr~uction: history of principal component analysis ...... ............... ....... 37 Problem definition for multivariate data ................ ............... ....... 38 A chemical example .............................. ............... ....... 40 Geometric interpretation of principal component analysis ... ............... ....... 41 Majestical defi~tion of principal component analysis .... ............... ....... 41 Statistics; how to use the residuals .................... ............... ....... 43 Plots ......................................... ............... ....... 44 Applications of principal component analysis ............ ............... ....... 46 8.1 Overview (plots) of any data table ................. ............... ..*... 46 8.2 Dimensionality reduction ....................... ............... 46 8.3 Similarity models ............................. ............... , . 47 Data pre-treatment .............................. ............... *....s. 47 10 Rank, or dim~sion~ty, of a principal components model. .......................... 48 -
2018 Ulf Grenander Prize in Stochastic Theory and Modeling
AMS Prize Announcements FROM THE AMS SECRETARY 2018 Ulf Grenander Prize in Stochastic Theory and Modeling Judea Pearl was awarded the inaugural Ulf Grenander Prize in Stochastic Theory and Modeling at the 124th Annual Meeting of the AMS in San Diego, California, in January 2018. Citation belief propagation algorithm in Bayesian networks, which The 2018 Grenander Prize in recast the problem of computing posterior distributions Stochastic Theory and Modeling given evidence as a scheme for passing local messages is awarded to Judea Pearl for between network variables. Although exact computations the invention of a model-based through dynamic programming are possible, Pearl recog- approach to probabilistic and nized that in most problems of interest this would not be causal reasoning, for the discov- feasible, and in fact belief propagation turned out to be ery of innovative tools for infer- remarkably effective in many applications. ring these models from observa- Pearl’s primary goal in adopting Bayesian networks for tions, and for the development formulating structured models of complex systems was of novel computational methods his conviction that Bayesian networks would prove to be Judea Pearl for the practical applications of the right platform for addressing one of the most funda- these models. mental challenges to statistical modeling: the identifica- Grenander sought to develop general tools for con- tion of the conditional independencies among correlated structing realistic models of patterns in natural and variables that are induced by truly causal relationships. man-made systems. He believed in the power of rigorous In a series of papers in the 1990s, Pearl clearly showed mathematics and abstraction for the analysis of complex that statistical and causal notions are distinct and how models, statistical theory for efficient model inference, graphical causal models can provide a formal link between and the importance of computation for bridging theory causal quantities of interest and observed data. -
Norges Teknisk
ÆÇÊGEË ÌEÃÆÁËùÆAÌÍÊÎÁÌEÆËÃAÈEÄÁGE ÍÆÁÎEÊËÁÌEÌ E×ØiÑaØiÒg BÐÓÓd Îe××eÐ AÖea× iÒ ÍÐØÖa×ÓÙÒd ÁÑage× Í×iÒg a DefÓÖÑabÐe ÌeÑÔÐaØe ÅÓ deÐ bÝ ÇddÚaÖ ÀÙ×bÝ aÒd ÀaÚaÖd ÊÙe ÈÊEÈÊÁÆÌ ËÌAÌÁËÌÁCË ÆǺ ½7»¾¼¼½ ÁËËÆ: ¼8¼4¹9½7¿ ÆÇÊÏEGÁAÆ ÍÆÁÎEÊËÁÌY ÇF ËCÁEÆCE AÆD ÌECÀÆÇÄÇGY ÌÊÇÆDÀEÁŸ ÆÇÊÏAY Ìhi× ÖeÔ ÓÖØ ha× ÍÊÄ hØØÔ:»»ÛÛÛºÑaØhºÒØÒÙºÒÓ»ÔÖeÔÖiÒØ»×ØaØi×Øic×»¾¼¼½»Ë½7¹¾¼¼½ºÔ× ÀaÚaÖd ÊÙe ha× hÓÑeÔage: hØØÔ:»»ÛÛÛºÑaØhºÒØÒÙºÒÓ»hÖÙe E¹ÑaiÐ: hÖÙe@ÑaØhºÒØÒÙºÒÓ AddÖe××: DeÔaÖØÑeÒØ Óf ÅaØheÑaØicaÐ ËcieÒce׸ ÆÓÖÛegiaÒ ÍÒiÚeÖ×iØÝ Óf ËcieÒce aÒd ÌechÒÓÐÓgݸ ƹ749½ ÌÖÓÒdheiѸ ÆÓÖÛaݺ Estimating blood vessel areas in ultrasound images using a deformable template model Oddvar HUSBY and Havard˚ RUE Department of Mathematical Sciences Norwegian University of Science and Technology Norway October 9, 2001 Abstract We consider the problem of obtaining interval estimates of vessel areas from ul- trasound images of cross sections through the carotid artery. Robust and automatic estimates of the cross sectional area is of medical interest and of help in diagnosing atherosclerosis, which is caused by plaque deposits in the carotid artery. We approach this problem by using a deformable template to model the blood vessel outline, and use recent developments in ultrasound science to model the likelihood. We demonstrate that by using an explicit model for the outline, we can easily adjust for an important feature in the data: strong edge reflections called specular reflection. The posterior is challenging to explore, and naive standard MCMC algorithms simply converge to slowly. To obtain an efficient MCMC algorithm we make extensive use of computational efficient Gaus- sian Markov Random Fields, and use various block-sampling constructions that jointly update large parts of the model. -
The Pennsylvania State University the Graduate School Eberly College of Science
The Pennsylvania State University The Graduate School Eberly College of Science STUDIES ON THE LOCAL TIMES OF DISCRETE-TIME STOCHASTIC PROCESSES A Dissertation in Mathematics by Xiaofei Zheng c 2017 Xiaofei Zheng Submitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy August 2017 The dissertation of Xiaofei Zheng was reviewed and approved∗ by the following: Manfred Denker Professor of Mathematics Dissertation Adviser Chair of Committee Alexei Novikov Professor of Mathematics Anna Mazzucato Professor of Mathematics Zhibiao Zhao Associate Professor of Statistics Svetlana Katok Professor of Mathematics Director of Graduate Studies ∗Signatures are on file in the Graduate School. Abstract This dissertation investigates the limit behaviors of the local times `(n; x) of the n Pn 1 partial sum fSng of stationary processes fφ ◦ T g: `(n; x) = i=1 fSi=xg. Under the conditional local limit theorem assumption: n kn BnP (Sn = knjT (·) = !) ! g(κ) if ! κ, P − a:s:; Bn we show that the limiting distribution of the local time is the Mittag-Leffler distri- bution when the state space of the stationary process is Z. The method is from the infinite ergodic theory of dynamic systems. We also prove that the discrete-time fractional Brownian motion (dfBm) admits a conditional local limit theorem and the local time of dfBm is closely related to but different from the Mittag-Leffler dis- tribution. We also prove that the local time of certain stationary processes satisfies an almost sure central limit theorem (ASCLT) under the additional assumption that the characteristic operator has a spectral gap. iii Table of Contents Acknowledgments vi Chapter 1 Introduction and Overview 1 1.0.1 Brownian local time . -
The Bancrof T Library University of California/Berkeley Regional Oral History Office Walter A. Haas CIVIC, PHILANTHROPIC and BU
'The Bancrof t Library University of California/Berkeley Regional Oral History Office Walter A. Haas CIVIC, PHILANTHROPIC AND BUSINESS LEADERSHIP With an Introduction by Clark Kerr An Interview Conducted by Harriet Nathan Copy No. @ 1975 by The Regents of the University of California and the Trustees of the Judah L. Magnes Memorial Museum All uses of this manuscript are covered by a legal agreement between the Regents of the University of California and the Trustees of the Judah L. Magnes Memorial Museum, and Walter A. Haas, Sr., dated 22 August 1974. The manuscript is thereby made available for research purposes. All literary rights in the manuscript, including the right to publish, are reserved to The Bancroft Library of the University of California at Berkeley and the Judah L. Magnes Memorial Museum. No part of the manuscript may be quoted for publication without the written permission of the Director of The Bancroft Library of the University of Califor- nia at Berkeley. Requests for permission to quote for publication should be addressed to the Regional Oral History Office, 486 Library, and should include identification of the specific passages, and identification of the user. The legal agree- ment with Walter A. Haas, Sr. requires that he be notified of the request and allowed thirty days in which to respond. TABLE OF CONTENTS -- Walter A. Haas .PREFACE INTRODUCTION by Clark Kerr INTERVIEW HISTORY I ANCESTORS AND FAMILY MEMBERS Father's Varied Interests Boyhood Recollections Growing Up in San Francisco I1 THE YEARS AT THE UNIVERSITY OF CALIFORNIA, BERKELEY Some School Friends and Instructors Choosing U.C.