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Differentiable sorting algorithms allow training with sorting and ranking supervision, where only the ordering or ranking of samples is known.
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Kenneth Batcher · 1968
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“Parallel Neighbor-Sort (or the Glory of the Induction Principle)”
A Habermann · 1972
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“The Art of Computer Programming, Volume 3: Sorting and Searching (2nd Ed.)”
Donald. Knuth · 1998
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“Convergence and Efficiency of Subgradient Methods for Quasiconvex Minimization”
Krzysztof Kiwiel · 2001
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“MNIST Handwritten Digit Database”, 2010
Yann LeCun, Corinna Cortes and CJ Burges · 2010
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“Reading digits in natural images with unsupervised feature learning”, 2011
Yuval Netzer et al · 2011
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“Sinkhorn Distances: Lightspeed Computation of Optimal Transport”
Marco Cuturi · 2013
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“Multi-digit number recognition from street view imagery using deep convolutional neural networks”
Ian Goodfellow et al · 2013
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“Generative Adversarial Networks”
Ian. Goodfellow et al · 2014
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“Adam: A Method for Stochastic Optimization”
Diederik Kingma and Jimmy Ba · 2015
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“Learning Latent Permutations with Gumbel-Sinkhorn Networks”
Gonzalo Mena, David Belanger, Scott Linderman and Jasper Snoek · 2018
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“A continuous relaxation of beam search for end-to-end training of neural sequence models”
Kartik Goyal, Graham Neubig, Chris Dyer and Taylor Berg-Kirkpatrick · 2018
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“Stochastic Optimization of Sorting Networks via Continuous Relaxations”
Aditya Grover, Eric Wang, Aaron Zweig and Stefano Ermon · 2019
“Fast Differentiable Sorting and Ranking”
Mathieu Blondel, Olivier Teboul, Quentin Berthet and Josip Djolonga · 2020
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“Differentiable Top-k with Optimal Transport”
Yujia Xie et al · 2020
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“Differentiable Sorting Networks for Scalable Sorting and Ranking Supervision”
Felix Petersen, Christian Borgelt, Hilde Kuehne and Oliver Deussen · 2021
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“Learning with Algorithmic Supervision via Continuous Relaxations”
Felix Petersen, Christian Borgelt, Hilde Kuehne and Oliver Deussen · 2021
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“Differentiable Ranking Metric Using Relaxed Sorting for Top-K Recommendation”
Hyunsung Lee et al · 2021
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“PiRank: Learning To Rank via Differentiable Sorting”
Robin Swezey, Aditya Grover, Bruno Charron and Stefano Ermon · 2021
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Cited alongside, same era.
“Differentiable Ranking and Sorting using Optimal Transport”
Marco Cuturi, Olivier Teboul and Jean-Philippe Vert · 2019
Cited alongside, same era.
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“Differentiable Patch Selection for Image Recognition”
Jean-Baptiste Cordonnier et al · 2021
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