An optimal algorithm for approximate nearest neighbor searching
SODA '94 Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms
Projection frameworks for model reduction of weakly nonlinear systems
Proceedings of the 37th Annual Design Automation Conference
An Algorithm for Finding Best Matches in Logarithmic Expected Time
ACM Transactions on Mathematical Software (TOMS)
Krylov-subspace methods for reduced-order modeling in circuit simulation
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
NORM: compact model order reduction of weakly nonlinear systems
Proceedings of the 40th annual Design Automation Conference
Piecewise polynomial nonlinear model reduction
Proceedings of the 40th annual Design Automation Conference
Proceedings of the 40th annual Design Automation Conference
Interactive symbolic distortion analysis of analogue integrated circuits
EURO-DAC '91 Proceedings of the conference on European design automation
Electronic Circuit & System Simulation Methods (SRE)
Electronic Circuit & System Simulation Methods (SRE)
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Developing design tools for biological and biomedical applications of micro- and nano-technology
CODES+ISSS '05 Proceedings of the 3rd IEEE/ACM/IFIP international conference on Hardware/software codesign and system synthesis
Statistical gate delay calculation with crosstalk alignment consideration
GLSVLSI '06 Proceedings of the 16th ACM Great Lakes symposium on VLSI
Parameterized model order reduction of nonlinear dynamical systems
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
Generation of yield-aware Pareto surfaces for hierarchical circuit design space exploration
Proceedings of the 43rd annual Design Automation Conference
Faster, parametric trajectory-based macromodels via localized linear reductions
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
Stabilizing schemes for piecewise-linear reduced order models via projection and weighting functions
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Proceedings of the Conference on Design, Automation and Test in Europe
Manifold construction and parameterization for nonlinear manifold-based model reduction
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Mathematics and Computers in Simulation
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Trajectory methods sample the state trajectory of a circuit as it simulates in the time domain, and build macromodels by reducing and interpolating among the linearizations created at a suitably spaced subset of the time points visited during training simulations. Unfortunately, moving from simple to industrial circuits requires more extensive training, which creates models too large to interpolate efficiently. To make trajectory methods practical, we describe a scalable interpolation architecture, and the first implementation of a complete trajectory "infrastructure" inside a full SPICE engine. The approach supports arbitrarily large training runs, automatically prunes redundant trajectory samples, supports limited hierarchy, enables incremental macromodel updates, and gives 3-10X speedups for larger circuits.