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At least 541 records · Page 30

A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling

Numerical solvers of partial differential equations (PDEs) have been widely employed for simulating physical systems. However, the computational cost remains a major bottleneck in various scientific and engineering applications, which has motivated the development of reduced-order models (ROMs). Recently, machine-learning-based ROMs have gained significant popularity and are promising for addressing some limitations of traditional ROM methods, especially for advection dominated systems. In this chapter, we focus on a particular framework known as Latent Space Dynamics Identification (LaSDI), which transforms the high-fidelity data, governed by a PDE, to simpler and low-dimensional latent-space data, governed by ordinary differential equations (ODEs). These ODEs can be learned and subsequently interpolated to make ROM predictions. Each building block of LaSDI can be easily modulated depending on the application, which makes the LaSDI framework highly flexible. In particular, we present strategies to enforce the laws of thermodynamics into LaSDI models (tLaSDI), enhance robustness in the presence of noise through the weak form (WLaSDI), select high-fidelity training data efficiently through active learning (gLaSDI, GPLaSDI), and quantify the ROM prediction uncertainty through Gaussian processes (GPLaSDI). We demonstrate the performance of different LaSDI approaches on Burgers equation, a non-linear heat conduction problem, and a plasma physics problem, showing that LaSDI algorithms can achieve relative errors of less than a few percent and up to thousands of times speed-ups.

Computational Engineering, Finance, and Science (c↗

The Weak Form Is Stronger Than You Think

The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern computational and applied mathematics. In this work we provide a survey of both the history and recent developments for several fields in which the weak form can play a critical role. In particular, we highlight several recent advances in weak form versions of equation learning, parameter estimation, and coarse graining, which offer surprising noise robustness, accuracy, and computational efficiency. We note that this manuscript is a companion piece to our October 2024 SIAM News article of the same name. Here we provide more detailed explanations of mathematical developments as well as a more complete list of references. Lastly, we note that the software with which to reproduce the results in this manuscript is also available on our group's GitHub website https://github.com/MathBioCU .

26A33, 35D30, 62FXX, 62JXX, 65L09, 65M32, 68Q32,↗

Data-driven particle dynamics: Structure-preserving coarse-graining for emergent behavior in non-equilibrium systems

Multiscale systems are ubiquitous in science and technology, but are notoriously challenging to simulate as short spatiotemporal scales must be appropriately linked to emergent bulk physics. When expensive high-dimensional dynamical systems are coarse-grained into low-dimensional models, the entropic loss of information leads to emergent physics which are dissipative, history-dependent, and stochastic. To machine learn coarse-grained dynamics from time-series observations of particle trajectories, we propose a framework using the metriplectic bracket formalism that preserves these properties by construction; most notably, the framework guarantees discrete notions of the first and second laws of thermodynamics, conservation of momentum, and a discrete fluctuation-dissipation balance crucial for capturing non-equilibrium statistics. We introduce the mathematical framework abstractly before specializing to a particle discretization. As labels are generally unavailable for entropic state variables, we introduce a novel self-supervised learning strategy to identify emergent structural variables. We validate the method on benchmark systems and demonstrate its utility on two challenging examples: (1) coarse-graining star polymers at challenging levels of coarse-graining while preserving non-equilibrium statistics, and (2) learning models from high-speed video of colloidal suspensions that capture coupling between local rearrangement events and emergent stochastic dynamics. We provide open-source implementations in both PyTorch and LAMMPS, enabling large-scale inference and extensibility to diverse particle-based systems.

Computational Engineering, Finance, and Science (c↗

Lahaina Energy Partnership Community Workshop: Technical Assistance Task Updates and Discussion [Slides]

The Lahaina Energy Partnership (LEP) is an initiative funded by the U.S. Department of Energy (DOE) to support energy planning and rebuilding efforts in Hawaii's historic town of Lahaina on Maui as the community recovers from a devastating fire on August 8, 2023, with technical assistance provided by NLR. This presentation provides an update on NLR's technical assistance efforts for May 2026.

14 SOLAR ENERGY↗

A national survey of policies on disclosure of conflicts of interest in biomedical research

BACKGROUND: Conflicts of interest pose a threat to the integrity of scientific research. The current regulations of the U.S. Public Health Service and the National Science Foundation require that medical schools and other research institutions report the existence of conflicts of interest to the funding agency but allow the institutions to manage conflicts internally. The regulations do not specify how to do so. METHODS: We surveyed all medical schools (127) and other research institutions (170) that received more than $5 million in total grants annually from the National Institutes of Health or the National Science Foundation; 48 journals in basic science and clinical medicine; and 17 federal agencies in order to analyze their policies on conflicts of interest. RESULTS: Of the 297 institutions, 250 (84 percent) responded by March 2000, as did 47 of the 48 journals and 16 of the 17 federal agencies. Fifteen of the 250 institutions (6 percent)--5 medical schools and 10 other research institutions--reported that they had no policy on conflicts of interest. Among the institutions that had policies, there was marked variation in the definition and management of conflicts. Ninety-one percent had policies that adhered to the federal threshold for disclosure ($10,000 in annual income or equity in a relevant company or 5 percent ownership), and 9 percent had policies that exceeded the federal guidelines. Only 8 percent had policies requiring disclosure to funding agencies, only 7 percent had such policies regarding journals, and only 1 percent had policies requiring the disclosure of information to the relevant institutional review boards or to research subjects. Twenty journals (43 percent) reported that they had policies requiring disclosure of conflicts of interest. Only four federal agencies had policies that explicitly addressed conflicts of interest in extramural research, and all but one of the agencies relied primarily on institutional discretion. CONCLUSIONS: There is substantial variation among policies on conflicts of interest at medical schools and other research institutions. This variation, combined with the fact that many scientific journals and funding agencies do not require disclosure of conflicts of interest, suggests that the current standards may not be adequate to maintain a high level of scientific integrity.

Human↗

Managing schedule and financial risk in a faster, better, cheaper development

The X2000 Program is a technology development program that will provide next generation avionics for missions to deep space. The goal of the X2000 Program is to develop revolutionary flight and ground systems which can be replicated by missions at a low cost, affording timely new science and mission opportunities to investigators and institutions.

risk finance schedule↗

Going South: Warnings from the Largest Project Engineering Failure in Modern History

NASA’s successful conduct of the Apollo Program greatly enhanced the prestige of the United States and remains broadly accepted as America’s gift “for all Mankind.” NASA’s Artemis Program to return humanity to the Moon promises to again reveal America’s leadership in this field. In preparation for the initiation of Artemis and its predecessor project Constellation, NASA thoroughly examined space program precedents. There remains, however, another relevant precedent which has not been examined in this context. Though this project involved technology radically different from that managed by NASA, its scope and environment in many ways parallel NASA’s large programs. This project was initiated by a private sector team that had, ten years before, successfully completed an effort that, at a cost of $275 billion (in 2021 USD), had stimulated new technology, had brought economic growth, had established their country as the world leader in engineering innovation, and, though it was a commercial success, had been broadly accepted as their nation’s gift “to all Mankind.” The new project was inspired by popular belief that private capital could again be marshalled to enhance national prestige and make yet another major contribution to the progress of Humanity. This new effort was predicted to require eight years and $258 billion. However, after the passage of nine years, achievement of only 45% complete on the baseline design, and expenditures 96% beyond the baseline cost, the project collapsed amid bankruptcy, political scandal, and criminal prosecution. While the private sector team that carried out this project was exceptionally well educated and experienced in the field, their efforts resulted in what remains (in terms of the money wasted) the largest project engineering failure in modern history. This paper examines what went wrong.

Project Management↗

Managing Insurance Cost and Business Risk

This fact sheet explores the role insurance and re-insurance industries play in mitigating resilience risk and offers best practices for building owners to work effectively with insurers. It also reviews the types of insurance coverages relevant to resilience as well as efforts by the insurance industry to respond to increased risk.

Commercial, Resilience, Resiliency, Financing, Ins↗

Creating a Resilience Risk Management Plan

This fact sheet provides actionable planning steps for developing a resilience roadmap in your organization. These steps can serve as an outline to help portfolio managers and other stakeholders manage the financial performance of a commercial building portfolio.

Resilience, Resiliency, Commercial building, comme↗

Benchmarking and Disclosing Resilience Performance

This fact sheet provides an overview of trends and barriers related to disclosure of climate and resilience performance. It reviews major reporting frameworks for resilience, compares the frameworks, and provides next steps for building owners.

Resilience, Resiliency, Benchmarking, Sustainabili↗

The Clean Energy Mortgage

Explore the source record for details and available documents.

32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATI↗