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

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