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Transferability for General Reasoning: An Automated Curriculum for Multi-Domain RLVR

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TAC studies general reasoning through the lens of transferability: instead of asking whether post-training improves performance on its source domain, we ask how well the learned behavior transfers across held-out domains.</p>\n<p>Across 14 benchmarks in 6 domains and two backbones, TAC improves macro-average accuracy and reveals a surprising pattern: math, often treated as a central RLVR domain, is among the least transferable.<br><a href=\"https://cdn-uploads.huggingface.co/production/uploads/6390438588139d16aae471b7/C0t2pml8APl3z6kW34Orf.png\" rel=\"nofollow\"><img src=\"https://cdn-uploads.huggingface.co/production/uploads/6390438588139d16aae471b7/C0t2pml8APl3z6kW34Orf.png\" alt=\"overview\"></a></p>\n","updatedAt":"2026-07-03T07:02:03.948Z","author":{"_id":"6390438588139d16aae471b7","avatarUrl":"/avatars/18ffd5f4a5afece842d4ac89e1d1596e.svg","fullname":"Yang Yongjin","name":"Dragonjinny","type":"user","isPro":false,"isHf":false,"isHfAdmin":false,"isMod":false,"isUserFollowing":false}},"numEdits":0,"identifiedLanguage":{"language":"en","probability":0.8537046313285828},"editors":["Dragonjinny"],"editorAvatarUrls":["/avatars/18ffd5f4a5afece842d4ac89e1d1596e.svg"],"reactions":[],"isReport":false}}],"primaryEmailConfirmed":false,"paper":{"id":"2606.25178","authors":[{"_id":"6a43e42541f04ae4d7ad9556","user":{"_id":"6390438588139d16aae471b7","avatarUrl":"/avatars/18ffd5f4a5afece842d4ac89e1d1596e.svg","isPro":false,"fullname":"Yang Yongjin","user":"Dragonjinny","type":"user","name":"Dragonjinny"},"name":"Yongjin Yang","status":"claimed_verified","statusLastChangedAt":"2026-07-01T08:45:11.698Z","hidden":false},{"_id":"6a43e42541f04ae4d7ad9557","name":"Jiarui Liu","hidden":false},{"_id":"6a43e42541f04ae4d7ad9558","name":"Yinghui He","hidden":false},{"_id":"6a43e42541f04ae4d7ad9559","name":"Lechen Zhang","hidden":false},{"_id":"6a43e42541f04ae4d7ad955a","name":"Bernhard Schölkopf","hidden":false},{"_id":"6a43e42541f04ae4d7ad955b","name":"Zhijing Jin","hidden":false}],"publishedAt":"2026-06-27T00:00:00.000Z","submittedOnDailyAt":"2026-07-03T00:00:00.000Z","title":"Transferability for General Reasoning: An Automated Curriculum for Multi-Domain RLVR","submittedOnDailyBy":{"_id":"6390438588139d16aae471b7","avatarUrl":"/avatars/18ffd5f4a5afece842d4ac89e1d1596e.svg","isPro":false,"fullname":"Yang Yongjin","user":"Dragonjinny","type":"user","name":"Dragonjinny"},"summary":"Reinforcement learning with verifiable rewards (RLVR) has been extended from single-domain training to multi-domain reasoning suites spanning mathematics, programming, and science. However, the training curriculum (how often each domain is sampled) is typically fixed or hand-tuned, even though reasoning skills transfer unevenly across domains. Existing learnability-based curricula adapt to where the policy is currently improving, but are blind to whether a gradient step on the selected domain benefits the remaining domains. In this paper, we propose Transfer-Aware Curriculum (TAC), a bandit-style online curriculum that prioritizes domains whose updates broadly benefit the rest of the training suite. TAC repurposes signals already produced by RL training: per-domain advantages capture local learnability, and projected gradients, taken from the GRPO step being computed, estimate cross-domain transferability via gradient-geometry alignment, at negligible cost (<1% wall-clock overhead). 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Papers
arxiv:2606.25178

Transferability for General Reasoning: An Automated Curriculum for Multi-Domain RLVR

Published on Jun 27
· Submitted by
Yang Yongjin
on Jul 3
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Abstract

Transfer-Aware Curriculum (TAC) improves multi-domain reinforcement learning by prioritizing domains that provide broad benefits to other domains, using gradient-geometry alignment to estimate cross-domain transferability.

Reinforcement learning with verifiable rewards (RLVR) has been extended from single-domain training to multi-domain reasoning suites spanning mathematics, programming, and science. However, the training curriculum (how often each domain is sampled) is typically fixed or hand-tuned, even though reasoning skills transfer unevenly across domains. Existing learnability-based curricula adapt to where the policy is currently improving, but are blind to whether a gradient step on the selected domain benefits the remaining domains. In this paper, we propose Transfer-Aware Curriculum (TAC), a bandit-style online curriculum that prioritizes domains whose updates broadly benefit the rest of the training suite. TAC repurposes signals already produced by RL training: per-domain advantages capture local learnability, and projected gradients, taken from the GRPO step being computed, estimate cross-domain transferability via gradient-geometry alignment, at negligible cost (<1% wall-clock overhead). Across a six-domain reasoning suite, TAC achieves the best macro-averaged accuracy on both Qwen3-1.7B and Llama3.2-3B, outperforming proportional random sampling, a hand-designed schedule, and a learnability-only bandit, and improving over the last of these by up to 2.8 points (10% relative). Ablations show performance degrades sharply when the transferability term is removed, and TAC remains robust on imbalanced training mixtures where learnability-only curricula over-commit to dominant domains. Our findings establish cross-domain transferability as a key signal for curriculum design in multi-domain RLVR.

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Paper author Paper submitter about 3 hours ago

TAC studies general reasoning through the lens of transferability: instead of asking whether post-training improves performance on its source domain, we ask how well the learned behavior transfers across held-out domains.

Across 14 benchmarks in 6 domains and two backbones, TAC improves macro-average accuracy and reveals a surprising pattern: math, often treated as a central RLVR domain, is among the least transferable.
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