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20242026
most citedNonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia

7 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

cs.LG2026

ABM-UDE: Developing Surrogates for Epidemic Agent-Based Models via Scientific Machine Learning

Sharv Murgai, Utkarsh Utkarsh, Kyle C. Nguyen +3

Agent-based epidemic models (ABMs) encode behavioral and policy heterogeneity but are too slow for nightly hospital planning. We develop county-ready surrogates that learn directly…

cs.PL2025

Efficient Symbolic Computation via Hash Consing

Bowen Zhu, Aayush Sabharwal, Songchen Tan +3

Symbolic computation systems suffer from memory inefficiencies due to redundant storage of structurally identical subexpressions, commonly known as expression swell, which degrades…

cs.LG2025

Scientific Machine Learning of Chaotic Systems Learns Reduced-Order Equations for Neural Populations

Anthony G. Chesebro, David Hofmann, Vaibhav Dixit +6

Extracting interpretable mathematical models from complex dynamical systems is difficult, especially for chaotic dynamics observed with noisy experimental data. We present PEM-UDE,…

cs.LG2025★ 1 cited

Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints

Avik Pal, Alan Edelman, Christopher Rackauckas

Despite the promise of scientific machine learning (SciML) in combining data-driven techniques with mechanistic modeling, existing approaches for incorporating hard constraints in…

math.NA2025

Scalable higher-order nonlinear solvers via higher-order automatic differentiation

Songchen Tan, Keming Miao, Alan Edelman +1

This paper demonstrates new methods and implementations of nonlinear solvers with higher-order of convergence, which is achieved by efficiently computing higher-order derivatives.…

math.NA2024★ 7 cited

NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia

Avik Pal, Flemming Holtorf, Axel Larsson +6

Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for challenging system models remains a challenge. Th…