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We study Variational Rectified Flow Matching, a framework that enhances classic rectified flow matching by modeling multi-modal velocity vector-fields.
The eigenvalues of mega-dimensional matrices
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A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines
Hutchinson, M · 1990
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Gradient-based learning applied to document recognition
LeCun, Y., Bottou, L., Bengio, Y., and Haffner, P · 1998
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Auto-Encoding Variational Bayes
Kingma, D. and Welling, M · 2014
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Albergo, M. and Vanden-Eijnden, E · 2023
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Song, Y., Dhariwal, P., Chen, M., and Sutskever, I · 2023
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Variational Flow Matching for Graph Generation
Eijkelboom, F., Bartosh, G., Naesseth, C., Welling, M., and van de Meent, J.-W · 2024
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Scaling rectified flow transformers for high-resolution image synthesis
Esser, P., Kulal, S., Blattmann, A., Entezari, R., Müller, J., Saini, H., Levi, Y., Lorenz, D., Sauer, A., Boesel, F., Podell, D., Dockhorn, T., English, Z., Lacey, K., Goodwin, A., Marek, Y., and Rombach, R · 2024
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Diffusion models in bioinformatics and computational biology
Guo, Z., Liu, J., Wang, Y., Chen, M., Wang, D., Xu, D., and Cheng, J · 2024
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SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformers
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Albergo, M., Boffi, N., and Vanden-Eijnden, E · 2023
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Flow Matching for Generative Modeling
Lipman, Y., Chen, R., Ben-Hamu, H., Nickel, M., and Le, M · 2023
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Flow straight and fast: Learning to generate and transfer data with rectified flow
Liu, X., Gong, C., and Liu, Q · 2023
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Denoising diffusion implicit models
Song, J., Meng, C., and Ermon, S
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Score-Based Generative Modeling Through Stochastic Differential Equations
Song, Y., Sohl-Dickstein, J., Kingma, D., Kumar, A., Ermon, S., and Poole, B
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Bellman optimal stepsize straightening of flow-matching models
Nguyen, B., Nguyen, B., and Nguyen, V. A · 2024
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Improving and generalizing flow-based generative models with minibatch optimal transport
Tong, A., Fatras, K., Malkin, N., Huguet, G., Zhang, Y., Rector-Brooks, J., Wolf, G., and Bengio, Y · 2024
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Perflow: Piecewise rectified flow as universal plug-and-play accelerator
Yan, H., Liu, X., Pan, J., Liew, J. H., Liu, Q., and Feng, J · 2024
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Consistency flow matching: Defining straight flows with velocity consistency
Yang, L., Zhang, Z., Zhang, Z., Liu, X., Xu, M., Zhang, W., Meng, C., Ermon, S., and Cui, B · 2024
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Towards Hierarchical Rectified Flow
Zhang, Y., Yan, Y., Schwing, A., and Zhao, Z · 2025
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