Model reduction and neural networks for parametric PDEs

K Bhattacharya, B Hosseini, NB Kovachki… - The SMAI journal of …, 2021 - numdam.org
… For the problems in Subsection 4.3, we also compare to the reduced basis method [23, 67]
when instantiated with PCA. We note that both Chkifa and the reduced basis method are …

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

K Lee, KT Carlberg - Journal of Computational Physics, 2020 - Elsevier
… -subspace reduced-order models; we also derive a posteriori discrete-time error bounds for
the … ROM on benchmark advection-dominated problems, thereby demonstrating the method's …

Presolve reductions in mixed integer programming

T Achterberg, RE Bixby, Z Gu… - INFORMS Journal …, 2020 - pubsonline.informs.org
… multi-column and multi-row reductions that often consume more time. As long as we find
enough problem changes in this middle-level loop, we again process the innermost loop …

Issues and Models Concerning the Processing of a Finite Number of Inputs 1

JT Townsend - Human information processing, 2021 - taylorfrancis.com
issues (eg, change serial to parallel) without logical or mathematical violation. An entirely
distinct question is whether the system we build (or the model of … The problem of "intuitiveness" …

Retrieval augmentation reduces hallucination in conversation

K Shuster, S Poff, M Chen, D Kiela, J Weston - arXiv preprint arXiv …, 2021 - arxiv.org
… , whereas our best models substantially curtail the issue, reducing hallucinated responses by
models reduce hallucination in conversations. We show example model outputs in Table 4. …

[PDF][PDF] Integrating physics-based modeling with machine learning: A survey

J Willard, X Jia, S Xu, M Steinbach… - arXiv preprint arXiv …, 2020 - beiyulincs.github.io
… [223, 224], a simple NN used to model the error due to the model reduction is shown to
sharply reduce high error regions when applied to known differential equations. Also, in Wan et al…

Tree of thoughts: Deliberate problem solving with large language models

S Yao, D Yu, J Zhao, I Shafran… - Advances in …, 2024 - proceedings.neurips.cc
… that challenge existing LM inference methods even with the state-of-the-art language model
of different problems. We also analyze how such choices affect model performances via …

Iteratively pruned deep learning ensembles for COVID-19 detection in chest X-rays

S Rajaraman, J Siegelman, PO Alderson, LS Folio… - Ieee …, 2020 - ieeexplore.ieee.org
… to reduce issues due to model overfitting by providing restricted regularization and improving
generalization by reducing the model … in the pruned VGG16 model reduced by 46.03% …

Pal: Program-aided language models

L Gao, A Madaan, S Zhou, U Alon… - International …, 2023 - proceedings.mlr.press
… approach: we note that problem reduction requires logically thinking … reducing prompts
while only turning solution segments in the solving scripts in PL. We show an example reducing

Smoothquant: Accurate and efficient post-training quantization for large language models

G Xiao, J Lin, M Seznec, H Wu… - International …, 2023 - proceedings.mlr.press
… Through initial experiments, we find LLaMA models generally have less severe activation
outlier issues compared to models like OPT and BLOOM. Nonetheless, SmoothQuant still …