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assets/jupyter/blog.ipynb.html

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<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en"><generator uri="https://jekyllrb.com/" version="4.3.3">Jekyll</generator><link href="https://kgml-lab.github.io/feed.xml" rel="self" type="application/atom+xml"/><link href="https://kgml-lab.github.io/" rel="alternate" type="text/html" hreflang="en"/><updated>2025-04-20T21:36:09+00:00</updated><id>https://kgml-lab.github.io/feed.xml</id><title type="html">KGML Lab</title><subtitle>Group website of Knowledge-guided Machine Learning (KGML) Lab at Virginia Tech </subtitle><entry><title type="html">Google Gemini updates: Flash 1.5, Gemma 2 and Project Astra</title><link href="https://kgml-lab.github.io/blog/2024/google-gemini-updates-flash-15-gemma-2-and-project-astra/" rel="alternate" type="text/html" title="Google Gemini updates: Flash 1.5, Gemma 2 and Project Astra"/><published>2024-05-14T00:00:00+00:00</published><updated>2024-05-14T00:00:00+00:00</updated><id>https://kgml-lab.github.io/blog/2024/google-gemini-updates-flash-15-gemma-2-and-project-astra</id><content type="html" xml:base="https://kgml-lab.github.io/blog/2024/google-gemini-updates-flash-15-gemma-2-and-project-astra/"><![CDATA[]]></content><author><name></name></author><summary type="html"><![CDATA[We’re sharing updates across our Gemini family of models and a glimpse of Project Astra, our vision for the future of AI assistants.]]></summary></entry><entry><title type="html">Displaying External Posts on Your al-folio Blog</title><link href="https://kgml-lab.github.io/blog/2022/displaying-external-posts-on-your-al-folio-blog/" rel="alternate" type="text/html" title="Displaying External Posts on Your al-folio Blog"/><published>2022-04-23T23:20:09+00:00</published><updated>2022-04-23T23:20:09+00:00</updated><id>https://kgml-lab.github.io/blog/2022/displaying-external-posts-on-your-al-folio-blog</id><content type="html" xml:base="https://kgml-lab.github.io/blog/2022/displaying-external-posts-on-your-al-folio-blog/"><![CDATA[]]></content><author><name></name></author></entry></feed>
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<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en"><generator uri="https://jekyllrb.com/" version="4.3.3">Jekyll</generator><link href="https://kgml-lab.github.io/feed.xml" rel="self" type="application/atom+xml"/><link href="https://kgml-lab.github.io/" rel="alternate" type="text/html" hreflang="en"/><updated>2025-04-20T21:46:28+00:00</updated><id>https://kgml-lab.github.io/feed.xml</id><title type="html">KGML Lab</title><subtitle>Group website of Knowledge-guided Machine Learning (KGML) Lab at Virginia Tech </subtitle><entry><title type="html">Google Gemini updates: Flash 1.5, Gemma 2 and Project Astra</title><link href="https://kgml-lab.github.io/blog/2024/google-gemini-updates-flash-15-gemma-2-and-project-astra/" rel="alternate" type="text/html" title="Google Gemini updates: Flash 1.5, Gemma 2 and Project Astra"/><published>2024-05-14T00:00:00+00:00</published><updated>2024-05-14T00:00:00+00:00</updated><id>https://kgml-lab.github.io/blog/2024/google-gemini-updates-flash-15-gemma-2-and-project-astra</id><content type="html" xml:base="https://kgml-lab.github.io/blog/2024/google-gemini-updates-flash-15-gemma-2-and-project-astra/"><![CDATA[]]></content><author><name></name></author><summary type="html"><![CDATA[We’re sharing updates across our Gemini family of models and a glimpse of Project Astra, our vision for the future of AI assistants.]]></summary></entry><entry><title type="html">Displaying External Posts on Your al-folio Blog</title><link href="https://kgml-lab.github.io/blog/2022/displaying-external-posts-on-your-al-folio-blog/" rel="alternate" type="text/html" title="Displaying External Posts on Your al-folio Blog"/><published>2022-04-23T23:20:09+00:00</published><updated>2022-04-23T23:20:09+00:00</updated><id>https://kgml-lab.github.io/blog/2022/displaying-external-posts-on-your-al-folio-blog</id><content type="html" xml:base="https://kgml-lab.github.io/blog/2022/displaying-external-posts-on-your-al-folio-blog/"><![CDATA[]]></content><author><name></name></author></entry></feed>

projects/GFI-framework/index.html

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<h1>A Unified Framework for Forward and Inverse Problems in Subsurface Imaging using Latent Space Translations</h1>
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<h2 style="text-align: center;">ICLR 2025</h2>
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<a href="https://www.linkedin.com/in/naveengupta1729/">Naveen Gupta</a><sup>1*</sup>,
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<a href="https://sawhney-medha.github.io/">Medha Sawhney</a><sup>1*</sup>,
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<a href="https://arkadaw9.github.io/">Arka Daw</a><sup>2*</sup>,
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<a href="https://sites.google.com/site/youzuolin044/home">Youzuo Lin</a><sup>3*</sup>,
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<a href="https://anujkarpatne.github.io/">Anuj Karpatne</a><sup>1</sup>
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<sup>1</sup>Virginia Tech,
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<sup>2</sup>Oak Ridge National Lab,
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<sup>3</sup>UNC at Chapel Hill
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<h1>A Unified Framework for Forward and Inverse Problems in Subsurface Imaging using Latent Space Translations</h1>
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<h2 style="text-align: center;">ICLR 2025</h2>
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<a href="https://www.linkedin.com/in/naveengupta1729/">Naveen Gupta</a><sup>1*</sup>,
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<a href="https://sawhney-medha.github.io/">Medha Sawhney</a><sup>1*</sup>,
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<a href="https://arkadaw9.github.io/">Arka Daw</a><sup>2*</sup>,
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<a href="https://sites.google.com/site/youzuolin044/home">Youzuo Lin</a><sup>3*</sup>,
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<a href="https://anujkarpatne.github.io/">Anuj Karpatne</a><sup>1</sup>
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<sup>1</sup>Virginia Tech,
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<sup>2</sup>Oak Ridge National Lab,
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<sup>3</sup>UNC at Chapel Hill
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<a class="pill-button" href="https://arxiv.org/abs/2410.11247">
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<img src="images/icons/arxiv.svg" /> arXiv
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<a class="pill-button" href="https://openreview.net/forum?id=yIlyHJdYV3">
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<i class="fas fa-star"></i> OpenReview
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<figcaption> Figure 1: A unified framework for solving forward and inverse problems in subsurface imaging. </figcaption>
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<img src="./static/images/GFI_Framework.png" alt="GFI Framework" loading="lazy" width=25%>
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<figcaption> Figure 1: A unified framework for solving forward and inverse problems in subsurface imaging. </figcaption>
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In subsurface imaging, learning the mapping from velocity maps to seismic waveforms (forward problem) and waveforms to velocity (inverse problem) is important for several applications. While traditional techniques for solving forward and inverse problems are computationally prohibitive, there is a growing interest in leveraging recent advances in deep learning to learn the mapping between velocity maps and seismic waveform images directly from data.
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Despite the variety of architectures explored in previous works, several open questions remain unanswered such as the effect of latent space sizes, the importance of manifold learning, the complexity of translation models, and the value of jointly solving forward and inverse problems.
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We propose a unified framework to systematically characterize prior research in this area termed the Generalized Forward-Inverse (GFI) framework, building on the assumption of manifolds and latent space translations.
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We show that GFI encompasses previous works in deep learning for subsurface imaging, which can be viewed as specific instantiations of GFI.
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We also propose two new model architectures within the framework of GFI: Latent U-Net and Invertible X-Net, leveraging the power of U-Nets for domain translation and the ability of IU-Nets to simultaneously learn forward and inverse translations, respectively.
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We show that our proposed models achieve state-of-the-art performance for forward and inverse problems on a wide range of synthetic datasets and also investigate their zero-shot effectiveness on two real-world-like datasets.
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<div class="container is-max-desktop has-text-justified">
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<h2 class="title is-3"> Abstract </h2>
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<p>
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In subsurface imaging, learning the mapping from velocity maps to seismic waveforms (forward problem) and waveforms to velocity (inverse problem) is important for several applications. While traditional techniques for solving forward and inverse problems are computationally prohibitive, there is a growing interest in leveraging recent advances in deep learning to learn the mapping between velocity maps and seismic waveform images directly from data.
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Despite the variety of architectures explored in previous works, several open questions remain unanswered such as the effect of latent space sizes, the importance of manifold learning, the complexity of translation models, and the value of jointly solving forward and inverse problems.
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We propose a unified framework to systematically characterize prior research in this area termed the Generalized Forward-Inverse (GFI) framework, building on the assumption of manifolds and latent space translations.
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We show that GFI encompasses previous works in deep learning for subsurface imaging, which can be viewed as specific instantiations of GFI.
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We also propose two new model architectures within the framework of GFI: Latent U-Net and Invertible X-Net, leveraging the power of U-Nets for domain translation and the ability of IU-Nets to simultaneously learn forward and inverse translations, respectively.
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We show that our proposed models achieve state-of-the-art performance for forward and inverse problems on a wide range of synthetic datasets and also investigate their zero-shot effectiveness on two real-world-like datasets.
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