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  license: cc-by-nc-nd-4.0
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  ---
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  <div align="center">
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- <img src="branchsbm/branchsbm.png" alt="branchsbm" width="1000" height="300">
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  </div>
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  <h1 align='center'>Branched Schrödinger Bridge Matching</h1>
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  First, we evaluate BranchSBM for navigating branched paths along the surface of a 3-dimensional LiDAR manifold, from an initial distribution to two distinct target distributions.
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  <div align="center">
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- <img src="branchsbm/lidar.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 3: Application of BranchSBM on Learning Branched Paths on a LiDAR Manifold.</em></p>
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  BranchSBM is uniquely positioned to model single-cell population dynamics where a homogeneous cell population (e.g., progenitor cells) differentiates into several distinct subpopulation branches, each of which independently undergoes growth dynamics. We demonstrate this capability on mouse hematopoiesis data.
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  <div align="center">
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- <img src="branchsbm/mouse.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 4: Application of BranchSBM on Modeling Differentiating Single-Cell Population Dynamics.</em></p>
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  First, we modeled two branches to two divergent subpopulations in the Clonidine-perturbed cells from the initial control DMSO-treated cells with BranchSBM and compared with single-branch SBM.
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  <div align="center">
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- <img src="branchsbm/clonidine.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 5: Results for Clonidine Perturbation Modeling with BranchSBM.</em></p>
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  Finally, we used BranchSBM to model three branched trajectories in the Trametinib-perturbed cells from the initial control DMSO-treated cells.
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  <div align="center">
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- <img src="branchsbm/trametinib.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 6: Results for Trametinib Perturbation Modeling with BranchSBM.</em></p>
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  license: cc-by-nc-nd-4.0
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  ---
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  <div align="center">
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+ <img src="branchsbm.png" alt="branchsbm" width="1000" height="300">
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  </div>
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  <h1 align='center'>Branched Schrödinger Bridge Matching</h1>
 
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  First, we evaluate BranchSBM for navigating branched paths along the surface of a 3-dimensional LiDAR manifold, from an initial distribution to two distinct target distributions.
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  <div align="center">
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+ <img src="lidar.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 3: Application of BranchSBM on Learning Branched Paths on a LiDAR Manifold.</em></p>
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  BranchSBM is uniquely positioned to model single-cell population dynamics where a homogeneous cell population (e.g., progenitor cells) differentiates into several distinct subpopulation branches, each of which independently undergoes growth dynamics. We demonstrate this capability on mouse hematopoiesis data.
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  <div align="center">
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+ <img src="mouse.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 4: Application of BranchSBM on Modeling Differentiating Single-Cell Population Dynamics.</em></p>
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  First, we modeled two branches to two divergent subpopulations in the Clonidine-perturbed cells from the initial control DMSO-treated cells with BranchSBM and compared with single-branch SBM.
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  <div align="center">
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+ <img src="clonidine.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 5: Results for Clonidine Perturbation Modeling with BranchSBM.</em></p>
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  Finally, we used BranchSBM to model three branched trajectories in the Trametinib-perturbed cells from the initial control DMSO-treated cells.
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  <div align="center">
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+ <img src="trametinib.png" alt="branchsbm" width="900" height="300">
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  </div>
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  <p align="center"><em>Figure 6: Results for Trametinib Perturbation Modeling with BranchSBM.</em></p>
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