193 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of California, Los AngelesUS19 papers
- University of FloridaUS10 papers
- California State University, NorthridgeUS5 papers
- ETH ZurichCH4 papers
- Santa Fe InstituteUS4 papers
- Aristotle University of ThessalonikiGR2 papers
- Massachusetts Institute of TechnologyUS2 papers
- University of ZurichCH2 papers
- California Institute of TechnologyUS1 paper
- Carnegie Mellon UniversityUS1 paper
- Charles R. Drew University of Medicine and ScienceUS1 paper
- Columbia UniversityUS1 paper
35 papers
Control of dynamical systems with neural networks
Lucas Böttcher
Control problems frequently arise in scientific and industrial applications, where the objective is to steer a dynamical system from an initial state to a desired target state. Rec…
Efficient Portfolio Selection through Preference Aggregation with Quicksort and the Bradley--Terry Model
Yurun Ge, Lucas Böttcher, Tom Chou +1
How to allocate limited resources to projects that will yield the greatest long-term benefits is a problem that often arises in decision-making under uncertainty. For example, orga…
Reconstructing Noisy Gene Regulation Dynamics Using Extrinsic-Noise-Driven Neural Stochastic Differential Equations
Jiancheng Zhang, Xiangting Li, Xiaolu Guo +6
Proper regulation of cell signaling and gene expression is crucial for maintaining cellular function, development, and adaptation to environmental changes. Reaction dynamics in cel…
Clustering-induced localization of quantum walks on networks
Lucas Böttcher, Mason A. Porter
Quantum walks on networks are a paradigmatic model in quantum information theory. Quantum-walk algorithms have been developed for various applications, including spatial-search pro…
Aggregating multiple test results to improve medical decision-making
Lucas Böttcher, Maria R. D'Orsogna, Tom Chou
Gathering observational data for medical decision-making often involves uncertainties arising from both type I (false positive)and type II (false negative) errors. In this work, we…
Organizational Selection of Innovation
Lucas Böttcher, Ronald Klingebiel
Budgetary constraints force organizations to pursue only a subset of possible innovation projects. Identifying which subset is most promising is an error-prone exercise, and involv…
Statistical Mechanics and Artificial Neural Networks: Principles, Models, and Applications
Lucas Böttcher, Gregory Wheeler
The field of neuroscience and the development of artificial neural networks (ANNs) have mutually influenced each other, drawing from and contributing to many concepts initially dev…
Curve fitting on a quantum annealer for an advanced navigation method
Philipp Isserstedt, Daniel Jaroszewski, Wolfgang Mergenthaler +2
We explore the applicability of quantum annealing to the approximation task of curve fitting. To this end, we consider a function that shall approximate a given set of data points…
Surrogate Modeling and Control of Medical Digital Twins
Luis L. Fonseca, Lucas Böttcher, Borna Mehrad +1
The vision of personalized medicine is to identify interventions that maintain or restore a person's health based on their individual biology. Medical digital twins, computational…
Dynamical processes on metric networks
Lucas Böttcher, Mason A. Porter
The structure of a network has a major effect on dynamical processes on that network. Many studies of the interplay between network structure and dynamics have focused on models of…
Modeling and forecasting age-specific drug overdose mortality in the United States
Lucas Böttcher, Tom Chou, Maria R. D'Orsogna
Drug overdose deaths continue to increase in the United States for all major drug categories. Over the past two decades the total number of overdose fatalities has increased more t…
Impact of random and targeted disruptions on information diffusion during outbreaks
Hosein Masoomy, Tom Chou, Lucas Böttcher
Outbreaks are complex multi-scale processes that are impacted not only by cellular dynamics and the ability of pathogens to effectively reproduce and spread, but also by population…
Complex networks with complex weights
Lucas Böttcher, Mason A. Porter
In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such bin…
Visualizing high-dimensional loss landscapes with Hessian directions
Lucas Böttcher, Gregory Wheeler
Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide…
Near-optimal control of dynamical systems with neural ordinary differential equations
Lucas Böttcher, Thomas Asikis
Optimal control problems naturally arise in many scientific applications where one wishes to steer a dynamical system from a certain initial state to a desired targe…
Mathematical Characterization of Private and Public Immune Repertoire Sequences
Lucas Böttcher, Sascha Wald, Tom Chou
Diverse T and B cell repertoires play an important role in mounting effective immune responses against a wide range of pathogens and malignant cells. The number of unique T and B c…
Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems
Mingtao Xia, Lucas Böttcher, Tom Chou
Solving analytically intractable partial differential equations (PDEs) that involve at least one variable defined on an unbounded domain arises in numerous physical applications. A…
Control of Dual-Sourcing Inventory Systems using Recurrent Neural Networks
Lucas Böttcher, Thomas Asikis, Ioannis Fragkos
A key challenge in inventory management is to identify policies that optimally replenish inventory from multiple suppliers. To solve such optimization problems, inventory managers…
Tradeoffs in Hierarchical Voting Systems
Lucas Böttcher, Georgia Kernell
Condorcet's jury theorem states that the correct outcome is reached in direct majority voting systems with sufficiently large electorates as long as each voter's independent probab…
Epidemic Management and Control Through Risk-Dependent Individual Contact Interventions
Tapio Schneider, Oliver R. A. Dunbar, Jinlong Wu +8
Testing, contact tracing, and isolation (TTI) is an epidemic management and control approach that is difficult to implement at scale because it relies on manual tracing of contacts…
Controlling epidemics through optimal allocation of test kits and vaccine doses across networks
Mingtao Xia, Lucas Böttcher, Tom Chou
Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogen…
On the accuracy of short-term COVID-19 fatality forecasts
Nino Antulov-Fantulin, Lucas Böttcher
Forecasting new cases, hospitalizations, and disease-induced deaths is an important part of infectious disease surveillance and helps guide health officials in implementing effecti…
A statistical model of COVID-19 testing in populations: effects of sampling bias and testing errors
Lucas Böttcher, Maria R. D'Orsogna, Tom Chou
We develop a statistical model for the testing of disease prevalence in a population. The model assumes a binary test result, positive or negative, but allows for biases in sample…
Implicit energy regularization of neural ordinary-differential-equation control
Lucas Böttcher, Nino Antulov-Fantulin, Thomas Asikis
Although optimal control problems of dynamical systems can be formulated within the framework of variational calculus, their solution for complex systems is often analytically and…