Papers › Multi-Task Learning as a Bargaining Game

Multi-Task Learning as a Bargaining Game

2 Feb 2022arXiv:2202.01017archive 2025-07-28

Aviv Navon, Aviv Shamsian, Idan Achituve, Haggai Maron, Kenji Kawaguchi, Gal Chechik, Ethan Fetaya

In Multi-task learning (MTL), a joint model is trained to simultaneously make predictions for several tasks. Joint training reduces computation costs and improves data efficiency; however, since the gradients of these different tasks may conflict, training a joint model for MTL often yields lower performance than its corresponding single-task counterparts. A common method for alleviating this issue is to combine per-task gradients into a joint update direction using a particular heuristic. In this paper, we propose viewing the gradients combination step as a bargaining game, where tasks negotiate to reach an agreement on a joint direction of parameter update. Under certain assumptions, the bargaining problem has a unique solution, known as the Nash Bargaining Solution, which we propose to use as a principled approach to multi-task learning. We describe a new MTL optimization procedure, Nash-MTL, and derive theoretical guarantees for its convergence. Empirically, we show that Nash-MTL achieves state-of-the-art results on multiple MTL benchmarks in various domains.

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avivnavon/nash-mtl officialmentioned in papermentioned on GitHubpytorch report
autumn9999/go4align mentioned on GitHubpytorch report
cranial-xix/famo mentioned on GitHubpytorch report
torchjd/torchjd mentioned on GitHubpytorch report

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gradient_normalizers AvivNavon/nash-mtl/methods/min_norm_solvers.py official repository unverified no licence file found · pointer only · def129ab34b9f0f8 · report
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Tasks

Multi-Task Learning

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Multi-Task Learning Cityscapes test Nash-MTL mIoU 75.41 #2 of 3 Archive leaderboard report
Multi-Task Learning NYUv2 Nash-MTL Mean IoU 40.13 #2 of 2 Archive leaderboard report
Multi-Task Learning QM9 Nash-MTL ∆m% 62.0 #2 of 5 Archive leaderboard report

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