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19962026
most citedSMOTE: Synthetic Minority Over-sampling Technique

33.1k citations

Showing 2022 · math.NAShow all

7 papers · 2 filters

math.NA2022★ 8 cited

Hyper-differential sensitivity analysis with respect to model discrepancy: Optimal solution updating

Joseph Hart, Bart van Bloemen Waanders

A common goal throughout science and engineering is to solve optimization problems constrained by computational models. However, in many cases a high-fidelity numerical emulation o…

math.NA2022★ 4 cited

Distributed-Memory Randomized Algorithms for Sparse Tensor CP Decomposition

Vivek Bharadwaj, Osman Asif Malik, Riley Murray +2

Candecomp / PARAFAC (CP) decomposition, a generalization of the matrix singular value decomposition to higher-dimensional tensors, is a popular tool for analyzing multidimensional…

math.NA2022

Tensor Decompositions for Count Data that Leverage Stochastic and Deterministic Optimization

Jeremy M. Myers, Daniel M. Dunlavy

There is growing interest to extend low-rank matrix decompositions to multi-way arrays, or tensors. One fundamental low-rank tensor decomposition is the canonical polyadic decompos…

math.NA2022★ 8 cited

Structure-preserving finite-element schemes for the Euler-Poisson equations

Matthias Maier, John N. Shadid, Ignacio Tomas

We discuss structure-preserving numerical discretizations for repulsive and attractive Euler-Poisson equations that find applications in fluid-plasma and self-gravitation modeling.…

math.NA2022★ 72 cited

Multifidelity Deep Operator Networks For Data-Driven and Physics-Informed Problems

Amanda A. Howard, Mauro Perego, George E. Karniadakis +1

Operator learning for complex nonlinear systems is increasingly common in modeling multi-physics and multi-scale systems. However, training such high-dimensional operators requires…

math.NA2022★ 1 cited

Code Verification for Practically Singular Equations

Brian A. Freno, Neil R. Matula

The method-of-moments implementation of the electric-field integral equation (EFIE) yields many code-verification challenges due to the various sources of numerical error and their…