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In this paper, we consider the problem of local parameter identifiability of a parameter function in a system of ordinary differential equations. Previously, in this problem, the case where the dimensions of a parameter and a solution of a…

Dynamical Systems · Mathematics 2025-12-29 V. S. Shalgin

Top-tier parallel computing clusters continue to accumulate more and more computational power with more and better CPUs and Networks. This allows, especially for environmental simulations, computations with larger domain sizes and better…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Christoph Ertl , Ralf-Peter Mundani , Ernst Rank

In this paper, we propose a general framework for constructing IGA-suitable planar B-spline parameterizations from given complex CAD boundaries consisting of a set of B-spline curves. Instead of forming the computational domain by a simple…

Computational Geometry · Computer Science 2017-11-22 Gang Xu , Ming Li , Bernard Mourrain , Timon Rabczuk , Jinlan Xu , Stephane P. A. Bordas

Local learning, which trains a network through layer-wise local targets and losses, has been studied as an alternative to backpropagation (BP) in neural computation. However, its algorithms often become more complex or require additional…

Machine Learning · Computer Science 2025-05-22 Satoki Ishikawa , Rio Yokota , Ryo Karakida

Contextual Partitioning introduces an innovative approach to enhancing the architectural design of large-scale computational models through the dynamic segmentation of parameters into context-aware regions. This methodology emphasizes the…

Computation and Language · Computer Science 2025-08-11 Offa Kingsleigh , Alfred Abercrombie , David Woolstencroft , Beorhtric Meadowcroft , Marcus Irvin

The objective of this paper is to develop a global non-intrusive Parametric Model Order Reduction (PMOR) methodology for the problem of changing well locations in an oil field, that can eventually be used for well placement optimization to…

Computational Engineering, Finance, and Science · Computer Science 2020-01-16 Hardikkumar Zalavadia , Eduardo Gildin

We propose a novel parameter-efficient training (PET) method for large language models that adapts models to downstream tasks by optimizing a small subset of the existing model parameters. Unlike prior methods, this subset is not fixed in…

Computation and Language · Computer Science 2024-11-14 Felix Stahlberg , Jared Lichtarge , Shankar Kumar

This paper presents an unsupervised deep-learning framework named Local Deep-Feature Alignment (LDFA) for dimension reduction. We construct neighbourhood for each data sample and learn a local Stacked Contractive Auto-encoder (SCAE) from…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Jian Zhang , Jun Yu , Dacheng Tao

In recent years, supervised person re-identification (re-ID) models have received increasing studies. However, these models trained on the source domain always suffer dramatic performance drop when tested on an unseen domain. Existing…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Hao Feng , Minghao Chen , Jinming Hu , Dong Shen , Haifeng Liu , Deng Cai

Traditional reduced order modeling techniques such as the reduced basis (RB) method (relying, e.g., on proper orthogonal decomposition (POD)) suffer from severe limitations when dealing with nonlinear time-dependent parametrized PDEs,…

Numerical Analysis · Mathematics 2020-01-14 Stefania Fresca , Luca Dede , Andrea Manzoni

In this paper, we study the parameterized complexity of local search, whose goal is to find a good nearby solution from the given current solution. Formally, given an optimization problem where the goal is to find the largest feasible…

Data Structures and Algorithms · Computer Science 2025-12-04 Aditya Anand , Vincent Cohen-Addad , Tommaso d'Orsi , Anupam Gupta , Euiwoong Lee , Debmalya Panigrahi , Sijin Peng

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

Numerical Analysis · Mathematics 2021-11-03 Stefania Fresca , Andrea Manzoni

We propose Federated Preconditioned Mixing (FedPM), a novel Federated Learning (FL) method that leverages second-order optimization. Prior methods--such as LocalNewton, LTDA, and FedSophia--have incorporated second-order optimization in FL…

Machine Learning · Computer Science 2025-11-13 Hiro Ishii , Kenta Niwa , Hiroshi Sawada , Akinori Fujino , Noboru Harada , Rio Yokota

Locality preserving projections (LPP) are a classical dimensionality reduction method based on data graph information. However, LPP is still responsive to extreme outliers. LPP aiming for vectorial data may undermine data structural…

Machine Learning · Computer Science 2019-08-15 Mingyuan Bai , S. T. Boris Choy , Xin Song , Junbin Gao

Pipeline parallelism (PP) has become a standard technique for scaling large language model (LLM) training across multiple devices. However, despite recent progress in reducing memory consumption through activation offloading, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-08 Hongpei Li , Han Zhang , Huikang Liu , Dongdong Ge , Yinyu Ye

While deep learning (DL)-based methods have achieved remarkable success in continuous wireless resource allocation, efficient solutions for problems involving discrete variables remain challenging. This is primarily due to the zero-gradient…

Machine Learning · Computer Science 2026-03-23 Yikun Wang , Yang Li , Yik-Chung Wu , Rui Zhang

The coupling of Proper Orthogonal Decomposition (POD) and deep learning-based ROMs (DL-ROMs) has proved to be a successful strategy to construct non-intrusive, highly accurate, surrogates for the real time solution of parametric nonlinear…

Numerical Analysis · Mathematics 2024-05-15 Simone Brivio , Stefania Fresca , Andrea Manzoni

Traditional deep network training methods optimize a monolithic objective function jointly for all the components. This can lead to various inefficiencies in terms of potential parallelization. Local learning is an approach to…

Machine Learning · Computer Science 2023-01-19 Adeetya Patel , Michael Eickenberg , Eugene Belilovsky

Embeddings are a powerful way to enrich data-driven machine learning models with the world knowledge of large language models (LLMs). Yet, there is limited evidence on how to design effective LLM-based embedding pipelines for tabular…

Machine Learning · Computer Science 2026-03-19 Oksana Kolomenko , Ricardo Knauer , Erik Rodner

Large language models have led to state-of-the-art accuracies across a range of tasks. However, training these models efficiently is challenging for two reasons: a) GPU memory capacity is limited, making it impossible to fit large models on…