Deploying to gh-pages from @ e6ef106 🚀

Author: naveenguptaiitr

assets/jupyter/blog.ipynb.html

@@ -1 +1 @@
-<?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>2025-04-20T19:47:08+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>
+<?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>2025-04-20T19:51:49+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>

feed.xml

@@ -80,20 +80,6 @@ <h2 class="subtitle is-4 has-text-weight-bold">ICLR 2025</h2>
       <figcaption> Generalized Forward-Inverse Framework </figcaption>
     </figure>
   </div>
-  <div class="model_architectures">
-    <div class="latent_unet">
-      <figure>
-        <img src="./static/images/LatentU-Net.png" alt="Latent U-Net architecture" loading="lazy" width=45%>
-        <figcaption> Latent U-Net architecture </figcaption>
-      </figure>
-    </div>
-    <div class="inv_xnet">
-      <figure>
-        <img src="./static/images/InvertibleX-Net.png" alt="Invertible X-Net architecture" loading="lazy" width=45%>
-        <figcaption> Invertible X-Net architecture </figcaption>
-      </figure>
-    </div>
-  </div>
   <hr style="width: 60%; margin: 2rem auto;">
 </section>
 
@@ -116,6 +102,31 @@ <h2 class="title is-3"> Abstract </h2>
 <section class="section">
   <div class="container is-max-desktop has-text-centered">
     <h2 class="title is-3">Method Overview</h2>
+    <p>
+      We propose Generalized Forward-Inverse (GFI) framework based on two assumptions. First, according to the manifold assumption, we assume that the velocity maps v ∈ V and seismic
+    waveforms p ∈ P can be projected to their corresponding latent space representations, v˜ and p˜,
+    respectively, which can be mapped back to their reconstructions in the original space, vˆ and pˆ. Note
+    that the sizes of the latent spaces can be smaller or larger than the original spaces. Further, the size
+    of v˜ may not match with the size of p˜. Second, according to the latent space
+    translation assumption, we assume that the problem of learning forward and inverse mappings in
+    the original spaces of velocity and waveforms can be reformulated as learning translations in their
+    latent spaces. 
+    </p>
+
+    <div class="model_architectures">
+    <div class="latent_unet">
+      <figure>
+        <img src="./static/images/LatentU-Net.png" alt="Latent U-Net architecture" loading="lazy" width=45%>
+        <figcaption> Latent U-Net architecture </figcaption>
+      </figure>
+    </div>
+    <div class="inv_xnet">
+      <figure>
+        <img src="./static/images/InvertibleX-Net.png" alt="Invertible X-Net architecture" loading="lazy" width=45%>
+        <figcaption> Invertible X-Net architecture </figcaption>
+      </figure>
+    </div>
+  </div>
 
   </div>
   <hr style="width: 60%; margin: 2rem auto;">

projects/GFI-framework/index.html

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