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Title: Main Building entrance, Armour Institute of Technology, Chicago, Illinois, ca 1920s
Date: 1920-1929
Description: Photograph of the east entrance to Main Building on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date...
Show morePhotograph of the east entrance to Main Building on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate.
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Collection: C.V. Smith photographs, circa 1900-1929

Title: Armour Mission and Main Building, Armour Institute of Technology, Chicago, Illinois, ca. 1900
Date: 1900
Description: Photograph of the Armour Institute of Technology campus, including the Armour Mission and Main Building, with part of Armour Flats visible...
Show morePhotograph of the Armour Institute of Technology campus, including the Armour Mission and Main Building, with part of Armour Flats visible along Federal Street to the south. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate.
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Collection: C.V. Smith photographs, circa 1900-1929

Title: Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables, Special Volume in honor of memory of S.E.Fienberg
Creator: Richards, Donald, Uhler, Caroline
Description: We consider the lattice, L, of all subsets of a multidimensional contingency table and establish the properties of monotonicity and...
Show moreWe consider the lattice, L, of all subsets of a multidimensional contingency table and establish the properties of monotonicity and supermodularity for the marginalization function, n(·), on L. We derive from the supermodularity of n(·) some generalized Fr ́echet inequalities comple- menting and extending inequalities of Dobra and Fienberg. Further, we construct new monotonic and supermodular functions from n(·), and we remark on the connection between supermodularity and some correlation inequalities for probability distributions on lattices. We also apply an inequal- ity of Ky Fan to derive a new approach to Fr ́echet inequalities for multidimensional contingency tables.
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Collection: Journal of Algebraic Statistics

Title: Maximal Length Projections in Group Algebras with Applications to Linear Rank Tests of Uniformity
Creator: Bargagliotti, Anna E., Orrison, Michael
Description: Let G be a finite group, let CG be the complex group algebra of G, and let p ∈ CG. In this paper, we show how to construct submodules S of CG...
Show moreLet G be a finite group, let CG be the complex group algebra of G, and let p ∈ CG. In this paper, we show how to construct submodules S of CG of a fixed dimension with the property that the orthogonal projection of p onto S has maximal length. We then provide an example of how such submodules for the symmetric group Sn can be used to create new linear rank tests of uniformity in statistics for survey data that arises when respondents are asked to give a complete ranking of n items.
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Collection: Journal of Algebraic Statistics

Title: Institute of Design sculpture class, Illinois Institute of Technology, Chicago, Illinois, ca. 1956-1969
Date: 1956-1969
Description: Photograph of an Insitute of Design Sculpture class in S.R. Crown Hall. Possibly pictured at center is Professor Cosmo Campoli. Photographer...
Show morePhotograph of an Insitute of Design Sculpture class in S.R. Crown Hall. Possibly pictured at center is Professor Cosmo Campoli. Photographer unknown, possibly Reginal Heron. Date of photograph is unknown. Date range listed is approximate.
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Collection: Office of Communications and Marketing photographs, 1905-1999

Title: Connectivity for 3 x 3 x K contingency tables
Creator: Sumi, Toshio, 2012
Description: We consider an exact sequential conditional test for three-way conditional test of no interaction. At each time τ, the test uses as the...
Show moreWe consider an exact sequential conditional test for three-way conditional test of no interaction. At each time τ, the test uses as the conditional inference frame the set F(Hτ) of all tables with the same three two-way marginal tables as the obtained table Hτ . For 3 × 3 × K tables, we propose a method to construct F(Hτ) from F(Hτ−1). This enables us to perform efficiently the sequential exact conditional test. The subset Sτ of F (Hτ ) consisting of s + Hτ − Hτ −1 for s ∈ F(Hτ−1) contains Hτ , where the operations + and − are defined elementwise. Our argument is based on the minimal Markov basis for 3 × 3 × K contingency tables and we give a minimal subset M of some Markov basis which has the property that F (Hτ ) = {s − m | s ∈ Sτ , m ∈ M}.
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Collection: Journal of Algebraic Statistics

Title: Matrix Completion for the Independence Model
Creator: Kubjas, Kaie, Rosen, Zvi
Description: We investigate the problem of completing partial matrices to rank-one matrices in the standard simplex ∆mn−1. The motivation for studying this...
Show moreWe investigate the problem of completing partial matrices to rank-one matrices in the standard simplex ∆mn−1. The motivation for studying this problem comes from statistics: A lack of eligible completion can provide a falsification test for partial observations to come from the independence model. For each pattern of specified entries, we give equations and inequalities which are satisfied if and only if an eligible completion exists. We also describe the set of valid completions, and we optimize over this set.
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Collection: Journal of Algebraic Statistics

Title: One example of general unidentifiable tensors
Creator: Chiantini, Luca, Mella, Massimiliano, Ottaviani, Giorgio
Description: Abstract. Theidentifiabilityofparametersinaprobabilisticmodelisacrucialnotioninstatistical inference. We prove that a general tensor of rank 8...
Show moreAbstract. Theidentifiabilityofparametersinaprobabilisticmodelisacrucialnotioninstatistical inference. We prove that a general tensor of rank 8 in C3 ⊗ C6 ⊗ C6 has at least 6 decompositions as sum of simple tensors, so it is not 8-identifiable. This is the highest known example of balanced tensors of dimension 3, which are not k-identifiable, when k is smaller than the generic rank.
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Collection: Journal of Algebraic Statistics

Title: Hilbert Polynomial of the Kimura 3-Parameter Model, AS2012 Special Volume, part 1: This issue includes a second series of papers from talks, posters and collaborations resulting from and inspired by the Algebraic Statistics in the Alleghenies Conference at Penn State, which took place in July 2012.
Creator: Kubjas, Kaie, inspired by the Algebraic Statistics in the Alleghenies Conference at Penn State, which took place in July
Description: In [2] Buczyn ́ska and Wi ́sniewski showed that the Hilbert polynomial of the algebraic variety associated to the Jukes-Cantor binary model on...
Show moreIn [2] Buczyn ́ska and Wi ́sniewski showed that the Hilbert polynomial of the algebraic variety associated to the Jukes-Cantor binary model on a trivalent tree depends only on the number of leaves of the tree and not on its shape. We ask if this can be generalized to other group-based models. The Jukes-Cantor binary model has Z2 as the underlying group. We consider the Kimura 3-parameter model with Z2 × Z2 as the underlying group. We show that the generalization of the statement about the Hilbert polynomials to the Kimura 3-parameter model is not possible as the Hilbert polynomial depends on the shape of a trivalent tree.
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Collection: Journal of Algebraic Statistics

Title: Main Building, Armour Institute of Technology, Chicago, Illinois, ca 1920s
Date: 1920-1929
Description: Photograph of the east facade of Main Building on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date...
Show morePhotograph of the east facade of Main Building on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate.
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Collection: C.V. Smith photographs, circa 1900-1929

Title: Armour Mission, Armour Institute of Technology, Chicago, Illinois, ca. 1920s
Date: 1920-1929
Description: Photograph of northeast corner of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date...
Show morePhotograph of northeast corner of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate.
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Collection: C.V. Smith photographs, circa 1900-1929

Title: Armour Mission, Armour Institute of Technology, Chicago, Illinois, ca. 1920s
Date: 1920-1929
Description: Photograph of the north facade of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date...
Show morePhotograph of the north facade of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate.
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Collection: C.V. Smith photographs, circa 1900-1929

Title: Machinery Hall, Armour Institute of Technology, Chicago, Illinois, ca. 1920s
Date: 1920-1929
Description: Photograph of the south facade of Machinery Hall on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date...
Show morePhotograph of the south facade of Machinery Hall on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate.
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Collection: C.V. Smith photographs, circa 1900-1929

Title: Frank Gunsaulus, 1912
Date: 1912
Description: Photograph of Frank Gunsaulus. Gunsaulus' "Million Dollar Sermon" inspired Philip D. Armour to fund the creation the Armour Institute of...
Show morePhotograph of Frank Gunsaulus. Gunsaulus' "Million Dollar Sermon" inspired Philip D. Armour to fund the creation the Armour Institute of Technology. Gunsaulus was the Armour Institute's first President, and served for almost 30 years.
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Collection: Biographical files collection, 1900-2014

Title: Institute of Design faculty members, Illinois Institute of Technology, Chicago, Illinois, ca. 1976
Date: 1976
Description: Photograph of Institute of Design faculty members (left to right) John Grimes, John Askwith, James Montague, Len Singer, Robert Graeff, David...
Show morePhotograph of Institute of Design faculty members (left to right) John Grimes, John Askwith, James Montague, Len Singer, Robert Graeff, David Rathbun, Arthur Siegel, and Ken Biasco. Photographer unknown. Date of photograph is unknown. Date range listed is approximate, based on this photograph's use in the 1976 edition of Integral, the Illinois Tech yearbook.
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Collection: Office of Communications and Marketing photographs, 1905-1999

Title: Armour Mission Kindergarten, Chicago, Illinois, 1894-1895
Date: 1894-1895
Description: Photograph of the Armour Mission kindergarten students and staff for the 1894-45 school year. Instituted with the founding of the Armour...
Show morePhotograph of the Armour Mission kindergarten students and staff for the 1894-45 school year. Instituted with the founding of the Armour Mission in 1886, the kindergarten program was run by Mary Ely until it was closed in the fall of 1918. Photographer unknown.
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Collection: Office of Communications and Marketing photographs, 1905-1999

Title: Mathematics of Civil Infrastructure Network Optimization
Creator: Rumpf, Adam Andrew
Date: 2020
Description: We consider a selection of problems from civil infrastructure network design that are of great importance in modern urban planning but have,...
Show moreWe consider a selection of problems from civil infrastructure network design that are of great importance in modern urban planning but have, until relatively recently, gone largely ignored in mathematical literature. Each of these problems is approached from the perspective of network optimization-based modeling, with a major focus placed on the development of efficient solution algorithms.We begin with a study of the phenomenon of interdependent civil infrastructure networks, wherein the functionality of one network (such as a telecommunications system) requires the input of resources from another network (such as the electrical power grid). We first consider a linear relaxation of an established binary interdependence minimum-cost network flows model, including its unique modeling applications and its use as part of a randomized rounding approximation algorithm for the mixed integer model. We also develop a generalized network simplex algorithm for the efficient solution of this generalized minimum-cost network flows problem. We then move on to consider a trilevel network interdiction game for use in planning the fortification of interdependent networks subject to targeted attacks. A variety of solution algorithms are developed for both the binary and the linear interdependence models, and the linear interdependence model is used to develop an approximation algorithm for the more computationally expensive binary model.We then develop a public transit network design model which incorporates a social access objective in addition to traditional operator cost and user cost objectives. The model is meant for use in planning minor modifications to a public transit network capable of improving equity of access to important services while guaranteeing that service levels remain within a specified tolerance of their initial values. A hybrid tabu search/simulated annealing algorithm is developed to solve this model, which is then applied to a test case based on the Chicago public transit network with the objective of improving equity of primary health care access across the city.
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Title: A Risk-Based Approach in Selecting Design Natural Hazard Loads for Temporary Structures
Creator: Saleh, Eman
Date: 2020
Description: Temporary structures are systems that are used for short period applications such as in maintenance and retrofit applications or for staged...
Show moreTemporary structures are systems that are used for short period applications such as in maintenance and retrofit applications or for staged performances. Examples of its applications are tents, scaffoldings, and other facilities that have a short service life. Structures under construction and structures under serviceability conditions also fall under this category of structures; because their service time period is only limited to the duration of the construction, which is much shorter than the lifetime of the finished structure. One of the main characteristics of these types of structures is their high vulnerability to stability. Most specifications rarely cover temporary structures. Designing these structures to appropriate levels of the dead and live load does not impose an issue, in which using the same load factors as in permanent structures is considered a reasonable choice. However, an issue is raised when choosing the appropriate wind, seismic and snow load levels, where using the same exposure levels as in permanent structures may not be a desirable economic decision. Thus, for temporary structures, it makes sense to reduce the extreme event design loads proportional to the intended design life. In this manner, it is imperative to have specific rules or guidelines that would address the design aspects and reliability of these structures especially against lateral loads such as wind and earthquakes. This study aims at establishing several decision-making processes that could help contractors, designers, and erectors of temporary works to decide upon safety factors and/or return periods for environmental loads, with emphasis on the wind load. This decision-making process can be used in temporary projects (e.g., bridge erecting) to establish a design criterion based on the nature of the project. The study shows that the optimal decision-making process depends on the willingness to take advantage of wind locality characteristics (e.g., seasonality factor) in certain construction period or region, type of information available for the decision-maker (i.e., precise or imprecise), the risk associated with the constructed facility or the temporary structure itself, a potential for recourse actions, and the decision-maker’s attitude toward the trade-off between losses and gains with respect to uncertainty. The suggested decision-making process proposed is Bayesian decision process, the fuzzy decision process; (3) a two-stage stochastic programming solution; and (4) case-based decision theory. Several practical examples are presented in this thesis to show how different situations may require varying decision-making processes in order to reach the optimal decision. The design of temporary structures can be altered in response to a forecasted hurricane; thus, we propose a three-stage stochastic programming solution to decide upon their optimal wind design load. In addition, we extend the hurricane catastrophe models for application in temporary structures. This enables contractors to forecast the hurricane losses as a basis for estimating the adequate catastrophe cover such as insurance premiums and reinsurance for temporary structures. This scheme is then illustrated in an example for deciding the required temporary bracings for a steel frame under construction during the hurricane season.To prevent temporary structures from collapse, it is important to investigate the performance quality of previous projects and remove any causes for potential mishaps. This can be done by continuous monitoring of different projects and an investigation of accidents, if any, to help prevent future failures. In this study, we use an audit evidence scheme based on commonly available evidence theories used in the construction industry. In one such theory, the evidence is represented via a tree structure, in which the propagation is toward the variables that represent the project as a whole and separate work packages within a project. For simplicity, we only consider the binary case of variables i.e. whether or not a project conforms to the quality standards. The formulation of the auditing tool relates belief functions to the assertion of the quality assurance and quality control (QA/QC) measures and provides formulas for human error risk. These formulas provide plausibilities of human error in a belief-function format. An auditor may use the belief values to assess the degree of quality performance and to identify the sources of the problem in temporary work. We further illustrate the method in a practical application to evaluate the shoring/reshoring operations for estimating the construction risk in a multistory concrete structure. This evaluation may be used to decide on an appropriate time for formwork removal, shoring/reshoring schedule, casting cycles, post-tensioning sequence, and the required number of reshoring levels given the available evidence. To reduce the computational burden, we describe the shoring/reshoring system as a multi-state system (MSS) where the universal generating function (UGF) was used to estimate the reliability of the system.
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Title: CULTURALLY SENSITIVE HELP-SEEKING AMONG ASIAN INTERNATIONAL AND ASIAN AMERICAN COLLEGE STUDENTS
Creator: Tsen, Jonathan Yee-jon
Date: 2020
Description: Asian populations are rapidly rising, representing the fastest growing racial group of immigrants in the U.S. with many seeking higher...
Show moreAsian populations are rapidly rising, representing the fastest growing racial group of immigrants in the U.S. with many seeking higher education. While many face risk for poor mental health outcomes and high suicidal ideation, Asian college students report lower rates seeking mental health services than White Americans. The purpose of this study was to test a culturally sensitive help-seeking model for Asian international and Asian American college students, and to capture relevant psychological and cultural factors that influence help-seeking. This study used an observational design to build on the current research and evaluated the effects of acculturation, enculturation, public stigma of help-seeking, self-stigma of help-seeking, and attitudes on willingness to seek psychological services. Four hundred and fifty-eight students (Age M = 23.93, SD = 4.36) represented by 265 Asian International Students and 193 Asian American Students. Using a path analysis, results demonstrated a poorly fitted model, suggesting that acculturation, enculturation, public stigma, self-stigma, attitudes, and willingness do not relate significantly to each other when viewed altogether in a model. This remained true even when modifications to the model were made, and when observing the model within only Asian American student sample or Asian international student sample. However, significant direct effects were observed between enculturation and public stigma in the total sample, as well as separately in Asian American or Asian international samples. These findings highlight the importance of exploring with different methodological approaches to gain insight on other important psychological and cultural factors that impact help-seeking among Asian international and Asian American college students.
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Title: Incorporating Real-Time Estimates of Physiological States in Artificial Pancreas Systems
Creator: Sevil, Mert
Date: 2020
Description: Type-1 diabetes is a chronic disease that has a negative impact on the life of a person with diabetes causing other chronic diseases, reducing...
Show moreType-1 diabetes is a chronic disease that has a negative impact on the life of a person with diabetes causing other chronic diseases, reducing the quality of life, and the possibility of causing dangerous reductions in blood glucose levels that may lead to coma or death. More than 100 million U.S. adults are now living with diabetes or pre-diabetes. Diabetes is one of the most expensive public health problems in the U.S. at $327 billion in 2017. Thus, alternative solutions or novel proposals are crucial to more effective treatments and cure. Artificial pancreas systems are one of the common treatment techniques of Type-1 Diabetes, which reduce the risk of diabetes-related complications and make diabetics' lives easier and make it convenient. Artificial pancreas systems aim to maintain blood glucose concentrations in a tighter target blood glucose range, which is a challenging problem. Several factors affect blood glucose concentrations including intensity of exercise, type of exercise, acute psychological stress and the physical state of a person with diabetes. These factors are unknown disturbances for artificial pancreas control systems. In this project, a single non-invasive wrist-worn device is used to obtain different biosignals in-real time. Biosignals are utilized with the development energy expenditure estimation model, psychological stress detection and physical state classification models. Several machine learning methods are tested and validated until the best classification and estimation accuracy is achieved for each estimate. Obtained models are incorporated with the current artificial pancreas design to improve its glycemic control performance. The controller is aware of such measurable disturbances with the proposed method, which allows for providing accurate and timely control action. Additional estimates are utilized to improve blood glucose concentration prediction model accuracy. Clinical trials are used to test and validate the proposed work. In summary, the presented work illustrates different machine learning techniques and algorithms that can enhance automated insulin delivery by a multivariable artificial pancreas system and enhance the quality of life of people with Type 1 diabetes.
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