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- Description:
- Forecasting U.S. elections has been a field of interest for many researchers, with various statistical and mathematical models being proposed. In my research, I analyzed a prior election model, the SIS election model. In this model, a system of differential equations traditionally used in epidemiology to study disease transmission (but...
- Keyword:
- Data science , Mathematical model , Statistical analysis , and US elections
- Subject:
- Applied mathematics and Statistics
- Creator:
- Brian Hsu
- Owner:
- Brian Alan Hsu
- Date Uploaded:
- 09/13/2020
- Date Modified:
- 09/13/2020
- Date Created:
- 2020
- Resource Type:
- Conference Proceeding
-
- Description:
- Forecasting the outcomes of U.S. elections is a relevant and complex task that has been approached in many ways, most commonly incorporating statistics or proprietary methods that include some degree of subjectivity. Our approach differs from this convention in that we use multidisciplinary methods from applied mathematics. Specifically, we use...
- Keyword:
- forecast, US elections, mathematical model, elections, and mathematical modeling
- Subject:
- Applied mathematics
- Creator:
- William He and Christopher Lee
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 06/08/2020
- Date Modified:
- 07/23/2020
- Date Created:
- 2020
- Resource Type:
- Conference Proceeding
-
- Description:
- This dissertation considers a periodically-forced 1-D Langevin equation that possesses two stable periodic solutions in the absence of noise. We aim at answering the question: is there a most likely noise-induced transition path between these periodic solutions that allows one to identify a preferred phase of the forcing when the...
- Subject:
- Applied mathematics
- Creator:
- Chen, Yuxin
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14754 and etdadmin_upload_677031
-
- Description:
- For stochastic simulation optimization in a modern computing era, we introduce a new parallel framework for solving very large-scale problems using a ranking & selection (R&S) approach that simulates all systems or feasible solutions to provide a global statistical guarantee. We propose a parallel adaptive survivor selection (PASS) framework that...
- Keyword:
- master-worker, simulation, parallel, stochastic, large-scale, and optimization
- Subject:
- Applied mathematics, Statistics, and Operations research
- Creator:
- Pei, Linda
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/22/2022
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_903888 and http://dissertations.umi.com/northwestern:16108
-
- Description:
- Motivated by rhythms in the brain, we investigate the synchronization of noisy and all-to-all pulse-coupled oscillators. We consider a case where the oscillatory excursions are of varying amplitude and where only sufficiently large excursions result in the output pulses that drive the interactions between the oscillators. In the regime of...
- Keyword:
- Oscillators, Markov Renewal, Events, Mixed-mode, Spiking, and Noise
- Subject:
- Applied mathematics
- Creator:
- Karamchandani, Avinash Jagdish
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 05/31/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:16397 and etdadmin_upload_959050
-
- Description:
- We present two novel, computational models of biofilm growth within an experimental flow cell. First, we use asymptotic approximations to develop a reduced model that captures the large-scale dynamics within an entire flow cell. The reduced model's predicted growth and nutrient distribution are close to the values predicted by previous...
- Subject:
- Applied mathematics
- Creator:
- Ford, Noah
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_764364 and http://dissertations.umi.com/northwestern:15266
-
- Description:
- We present a biophysical model of GCaMP6f calcium fluorescence in CA1 pyramidal neuron dendrites based upon results from imaging and electrophysiology experiments. This work was completed using experimental results from the laboratory of Professor Daniel Dombeck, Department of Neurobiology. Constraining the model to reproduce different objectives --- from in-vitro and...
- Keyword:
- Calcium Model, Dendritic Spines, Computational Neuroscience, Calcium Imaging, and Synaptic Integration
- Subject:
- Applied mathematics and Neurosciences
- Creator:
- Young, Brita Schneiders
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/28/2021
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_819855 and http://dissertations.umi.com/northwestern:15589
-
- Description:
- This dissertation is a review of three projects I worked on during my time in the Computational Photography Lab at Northwestern University. First, a source separation problem for the X-Ray Fluorescence images of painted works of art is addressed through the incorporation of Hyperspectral Reflectance data. Following this, a discussion...
- Keyword:
- XRF, Computational Holography, Hypterspectral Imaging, Optical Coherence Tomorgraphy, Computational Imaging, and Cultural Heritage Science
- Subject:
- Applied mathematics
- Creator:
- Fiske, Lionel David
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 05/31/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_961685 and http://dissertations.umi.com/northwestern:16405
-
- Description:
- Many industrial fluid flow problems involve the interaction between heavy, rigid objects and one or more fluid phases. For several decades, there has been a vested interest in simulating these fluid-structure interaction (FSI) problems in order to improve engineering design processes. However, numerical simulations of these problems can be challenging...
- Keyword:
- Aquatic locomotion, Adaptive mesh refinement, Fluid-structure interaction, Multiphase flow, Computational fluid dynamics, and Vehicle aerodynamics
- Subject:
- Applied mathematics, Computational physics, and Fluid mechanics
- Creator:
- Nangia, Nishant
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_637421 and http://dissertations.umi.com/northwestern:14506
-
- Description:
- The ever growing desire for accurate estimation and efficient learning necessitates the efforts to quantitatively characterize uncertainties for models. In this thesis, four problems pertaining to uncertainty quantification are discussed: A sequential stopping framework of constructing fixed-precision confidence regions is proposed for a class of multivariate simulation problems where variance...
- Keyword:
- Ranking and Selection, Reinforcement Learning, Statistical Learning, Stochastic Gradient Descent, and Uncertainty Quantification
- Subject:
- Applied mathematics, Statistics, and Computer science
- Creator:
- Zhu, Yi
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 01/21/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:15080 and etdadmin_upload_741745
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