Lucas Böttcher
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View article: Efficient portfolio selection through preference aggregation with Quicksort and the Bradley–Terry model
Efficient portfolio selection through preference aggregation with Quicksort and the Bradley–Terry model Open
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, organizations may need to evaluate and select innovation projec…
View article: Control of dynamical systems with neural networks
Control of dynamical systems with neural networks Open
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. Recent advances in deep learning and automatic differentiation…
View article: Determining the Optimal Sequence of Multiple Tests
Determining the Optimal Sequence of Multiple Tests Open
The use of multiple tests can improve medical decision making by balancing the benefits of correctly treating ill patients and avoiding unnecessary treatment for healthy individuals against the potential harms of missed diagnoses, inapprop…
View article: Reconstructing noisy gene regulation dynamics using extrinsic-noise-driven neural stochastic differential equations
Reconstructing noisy gene regulation dynamics using extrinsic-noise-driven neural stochastic differential equations Open
Proper regulation of cell signaling and gene expression is crucial for maintaining cellular function, development, and adaptation to environmental changes. Reaction dynamics in cell populations is often noisy because of (i) inherent stocha…
View article: Alcohol-induced deaths in the United States across age, race, gender, geography, and the COVID-19 pandemic
Alcohol-induced deaths in the United States across age, race, gender, geography, and the COVID-19 pandemic Open
We analyze alcohol-induced deaths by race, gender, age and geography on a yearly (1999–2024) and monthly (2018–2024) basis, using data from the National Vital Statistics System. Crude rates for alcohol-induced deaths increased by 89% from …
View article: idinn: A Python Package for Inventory-Dynamics Control with Neural Networks
idinn: A Python Package for Inventory-Dynamics Control with Neural Networks Open
View article: Correction: Aggregating multiple test results to improve medical decision-making
Correction: Aggregating multiple test results to improve medical decision-making Open
[This corrects the article DOI: 10.1371/journal.pcbi.1012749.].
View article: Efficient Portfolio Selection through Preference Aggregation with Quicksort and the Bradley--Terry Model
Efficient Portfolio Selection through Preference Aggregation with Quicksort and the Bradley--Terry Model Open
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, organizations may need to evaluate and select innovation projec…
View article: Reconstructing Noisy Gene Regulation Dynamics Using Extrinsic-Noise-Driven Neural Stochastic Differential Equations
Reconstructing Noisy Gene Regulation Dynamics Using Extrinsic-Noise-Driven Neural Stochastic Differential Equations Open
Proper regulation of cell signaling and gene expression is crucial for maintaining cellular function, development, and adaptation to environmental changes. Reaction dynamics in cell populations is often noisy because of (i) inherent stocha…
View article: Control of medical digital twins with artificial neural networks
Control of medical digital twins with artificial neural networks Open
The objective of precision medicine is to tailor interventions to an individual patient’s unique characteristics. A key technology for this purpose involves medical digital twins, computational models of human biology that can be personali…
View article: Reconstructing Noisy Gene Regulation Dynamics Using Extrinsic-Noise-Driven Neural Stochastic Differential Equations
Reconstructing Noisy Gene Regulation Dynamics Using Extrinsic-Noise-Driven Neural Stochastic Differential Equations Open
Proper regulation of cell signaling and gene expression is crucial for maintaining cellular function, development, and adaptation to environmental changes. Reaction dynamics in cell populations is often noisy because of (i) inherent stocha…
View article: Aggregating multiple test results to improve medical decision-making
Aggregating multiple test results to improve medical decision-making Open
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 develop a statistical model to study how medical decision…
View article: Efficient Portfolio Selection Through Preference Aggregation with Quicksort and the Bradley--Terry Model
Efficient Portfolio Selection Through Preference Aggregation with Quicksort and the Bradley--Terry Model Open
View article: Sharp rises in alcohol-induced deaths in the United States (1999-2022) across genders, ages, races
Sharp rises in alcohol-induced deaths in the United States (1999-2022) across genders, ages, races Open
Importance Alcohol-induced deaths rose by 163% in the United States between 1999 and 2022, with sharp increases across most gender, age, and race groups in Spring 2020, concurrent with the onset of COVID-19. This study analyzes monthly mor…
View article: Clustering-induced localization of quantum walks on networks
Clustering-induced localization of quantum walks on networks Open
Quantum walks on networks are a paradigmatic model in quantum information theory. Quantum-walk algorithms have been developed for various applications, including spatial-search problems, element-distinctness problems, and node centrality a…
View article: Aggregating multiple test results to improve medical decision-making
Aggregating multiple test results to improve medical decision-making Open
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 develop a statistical model to study how medical decision-…
View article: A knapsack for collective decision-making
A knapsack for collective decision-making Open
Collective decision-making is the process through which diverse stakeholders reach a joint decision. Within societal settings, one example is participatory budgeting, where constituents decide on the funding of public projects. How to most…
View article: Surrogate modeling and control of medical digital twins.
Surrogate modeling and control of medical digital twins. Open
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 models that integrate a wide range of health-related data a…
View article: Statistical Mechanics and Artificial Neural Networks: Principles, Models, and Applications
Statistical Mechanics and Artificial Neural Networks: Principles, Models, and Applications Open
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 developed in statistical mechanics. Notably, Hopfield networks…
View article: Control of Medical Digital Twins with Artificial Neural Networks
Control of Medical Digital Twins with Artificial Neural Networks Open
The objective of personalized medicine is to tailor interventions to an individual patient's unique characteristics. A key technology for this purpose involves medical digital twins, computational models of human biology that can be person…
View article: Surrogate Modeling and Control of Medical Digital Twins
Surrogate Modeling and Control of Medical Digital Twins Open
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 models that integrate a wide range of health-related data a…
View article: Visualizing high-dimensional loss landscapes with Hessian directions
Visualizing high-dimensional loss landscapes with Hessian directions Open
Analyzing the 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 a better understanding of the interplay between neural-…
View article: Forecasting drug-overdose mortality by age in the United States at the national and county levels
Forecasting drug-overdose mortality by age in the United States at the national and county levels Open
The drug-overdose crisis in the United States continues to intensify. Fatalities have increased 5-fold since 1999 reaching a record high of 108,000 deaths in 2021. The epidemic has unfolded through distinct waves of different drug types, u…
View article: Dynamical processes on metric networks
Dynamical processes on metric networks Open
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 phenomena such as disease spread, opinion formation and ch…
View article: Identifying relapse predictors in individual participant data with decision trees
Identifying relapse predictors in individual participant data with decision trees Open
View article: Forecasting drug overdose mortality by age in the United States at the national and county levels
Forecasting drug overdose mortality by age in the United States at the national and county levels Open
The drug overdose crisis in the United States continues to intensify. Fatalities have increased five-fold since 1999 reaching a record high of 108,000 deaths in 2021. The epidemic has unfolded through distinct waves of different drug types…
View article: Forecasting drug overdose mortality by age in the United States at the national and county levels
Forecasting drug overdose mortality by age in the United States at the national and county levels Open
The drug overdose crisis in the United States continues to intensify. Fatalities have increased five-fold since 1999 reaching a record high of 108,000 deaths in 2021. The epidemic has unfolded through distinct waves of different drug types…
View article: Forecasting drug overdose mortality by age in the United States at the national and county levels
Forecasting drug overdose mortality by age in the United States at the national and county levels Open
The drug overdose crisis in the United States continues to intensify. Fatalities have increased five-fold since 1999 reaching a record high of 108,000 deaths in 2021. The epidemic has unfolded through distinct waves of different drug types…
View article: Mathematical Characterization of Private and Public Immune Receptor Sequences
Mathematical Characterization of Private and Public Immune Receptor Sequences Open
View article: Gradient-free training of neural ODEs for system identification and control using ensemble Kalman inversion
Gradient-free training of neural ODEs for system identification and control using ensemble Kalman inversion Open
Ensemble Kalman inversion (EKI) is a sequential Monte Carlo method used to solve inverse problems within a Bayesian framework. Unlike backpropagation, EKI is a gradient-free optimization method that only necessitates the evaluation of arti…