Flemming Holtorf
YOU?
Author Swipe
View article: Phase Transitions in the Output Distribution of Large Language Models
Phase Transitions in the Output Distribution of Large Language Models Open
In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the tas…
View article: NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia Open
Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for challenging system models remains a challenge. This paper presents NonlinearSolve.jl -- a suite of high-perf…
View article: Tighter Bounds on Transient Moments of Stochastic Chemical Systems
Tighter Bounds on Transient Moments of Stochastic Chemical Systems Open
The use of approximate solution techniques for the Chemical Master Equation is a common practice for the analysis of stochastic chemical systems. Despite their widespread use, however, many such techniques rely on unverifiable assumptions …
View article: Machine learning phase transitions: Connections to the Fisher information
Machine learning phase transitions: Connections to the Fisher information Open
Despite the widespread use and success of machine-learning techniques for detecting phase transitions from data, their working principle and fundamental limits remain elusive. Here, we explain the inner workings and identify potential fail…
View article: On the accuracy of the chemically significant eigenvalue method
On the accuracy of the chemically significant eigenvalue method Open
We study the accuracy and convergence properties of the chemically significant eigenvalues method as proposed by Georgievskii et al. [J. Phys. Chem. A 117, 12146-12154 (2013)] and its close relative, dominant subspace truncation, for reduc…
View article: Optimization under uncertainty of a hybrid waste tire and natural gas feedstock flexible polygeneration system using a decomposition algorithm
Optimization under uncertainty of a hybrid waste tire and natural gas feedstock flexible polygeneration system using a decomposition algorithm Open
Market uncertainties motivate the development of flexible polygeneration systems that are able to adjust operating conditions to favor production of the most profitable product portfolio. However, this operational flexibility comes at the …
View article: Performance Bounds for Quantum Feedback Control
Performance Bounds for Quantum Feedback Control Open
The limits of quantum feedback control have immediate consequences for quantum information science at large, yet remain largely unexplored. Here, we combine quantum filtering theory and moment-sum-of-squares techniques to construct a hiera…
View article: Stochastic Optimal Control via Local Occupation Measures
Stochastic Optimal Control via Local Occupation Measures Open
Viewing stochastic processes through the lens of occupation measures has proved to be a powerful angle of attack for the theoretical and computational analysis of stochastic optimal control problems. We present a simple modification of the…
View article: Tighter bounds on transient moments of stochastic chemical systems
Tighter bounds on transient moments of stochastic chemical systems Open
The use of approximate solution techniques for the Chemical Master Equation is common practice for the analysis of stochastic chemical systems. Despite their widespread use, however, many such techniques rely on unverifiable assumptions an…
View article: Adaptive Scenario Generation for Multistage NMPC with Shrinking Horizons
Adaptive Scenario Generation for Multistage NMPC with Shrinking Horizons Open
We present a multistage scheme for shrinking horizon nonlinear model predictive control (NMPC). This approach generates scenario trees on-line in an adaptive manner, and assembles them from predictions of worst-case uncertainty realization…