AlphaOne: Reasoning Models Thinking Slow and Fast at Test Time
This paper presents AlphaOne (alpha1), a universal framework for
modulating reasoning progress in large reasoning models (LRMs) at test time.
alpha1 first introduces alpha moment, which represents the scaled
thinking phase with a universal parameter alpha. Within this scaled
pre-alpha moment phase, it dynamically schedules slow thinking transitions
by modeling the insertion of reasoning transition tokens as a Bernoulli
stochastic process. After the alpha moment, alpha1 deterministically
terminates slow thinking with the end-of-thinking token, thereby fostering fast
reasoning and efficient answer generation. This approach unifies and
generalizes existing monotonic scaling methods by enabling flexible and dense
slow-to-fast reasoning modulation. Extensive empirical studies on various
challenging benchmarks across mathematical, coding, and scientific domains
demonstrate alpha1's superior reasoning capability and efficiency. Project
page: https://alphaone-project.github.io/
683d0b3de2a7d8d9778bd141
Junyu Zhang
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2025-06-02T07:40:59.716Z
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Junyu Zhang
jyzhang1208
user
jyzhang1208
683d0b3de2a7d8d9778bd142
Runpei Dong
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2025-06-02T07:41:03.079Z
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Runpei Dong
RunpeiDong
user
RunpeiDong
683d0b3de2a7d8d9778bd143
Han Wang
683d0b3de2a7d8d9778bd144
Xuying Ning
claimed_verified
2026-02-02T17:04:48.866Z
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Xuying Ning
YennNing
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YennNing
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Haoran Geng
683d0b3de2a7d8d9778bd146
Peihao Li
683d0b3de2a7d8d9778bd147
Xialin He
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Yutong Bai
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Jitendra Malik
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Saurabh Gupta
683d0b3de2a7d8d9778bd14b
Huan Zhang
AlphaOne: Reasoning Models Thinking Slow and Fast at Test Time
This paper presents AlphaOne (alpha1), a universal framework for
modulating reasoning progress in large reasoning models (LRMs) at test time.
alpha1 first introduces alpha moment, which represents the scaled
thinking phase with a universal parameter alpha. Within this scaled
pre-alpha moment phase, it dynamically schedules slow thinking transitions
by modeling the insertion of reasoning transition tokens as a Bernoulli
stochastic process. After the alpha moment, alpha1 deterministically
terminates slow thinking with the end-of-thinking token, thereby fostering fast
reasoning and efficient answer generation. This approach unifies and
generalizes existing monotonic scaling methods by enabling flexible and dense
slow-to-fast reasoning modulation. Extensive empirical studies on various
challenging benchmarks across mathematical, coding, and scientific domains
demonstrate alpha1's superior reasoning capability and efficiency. Project
page: https://alphaone-project.github.io/
AlphaOne dynamically modulates reasoning in large models by introducing $\alpha$ moment and Bernoulli process for slow thinking, improving efficiency and capability across diverse domains.
AlphaOne $\alpha$ moment Bernoulli stochastic process large reasoning models reasoning transition tokens end-of-thinking token monotonic scaling methods fast reasoning efficient answer generation