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This study empirically challenges the "lossless" claim of Orthrus, revealing that exact trajectory matching in speculative decoding is highly sensitive to numerical precision, dropping significantly under BF16 compared to FP32. The findings underscore a critical distinction between maintaining identical token trajectories and achieving comparable performance on standard downstream benchmarks. For researchers optimizing inference speed, this highlights the necessity of evaluating numerical stability alongside throughput gains when deploying hybrid autoregressive-diffusion architectures.
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How Lossless Is Lossless Speculative Decoding? The Role of Numerical Precision in Orthrus

arXiv2 min read

arXiv:2609.15504v1 Announce Type: cross Abstract: Orthrus is a hybrid autoregressive-diffusion architecture that accelerates autoregressive language-model inference by generating multiple tokens in parallel while using a frozen autoregressive backbone. Its central claim is that an intra-model consensus mechanism enables lossless speculative decoding, producing the same output sequence as the autoregressive model. We independently reproduce Orthrus and examine this claim under different numerical precisions. Under BF16 inference, exact trajectory matching occurs in only 45% of cases for the authors' checkpoint and 43% for our independently trained model across 1,190 prompts from 12 domains. The probability of exact matching is also strongly associated with the response-conditional perplexity of the reference model. Despite this trajectory divergence, Orthrus does not show systematic degradation on downstream lm-eval-harness benchmarks. In contrast, repeating the trajectory evaluation with FP32 yields exact trajectory matching on all evaluated prompts. These results show that the practical losslessness of Orthrus depends on numerical precision and that exact trajectory equivalence should be evaluated separately from downstream task performance.

Title:How Lossless Is Lossless Speculative Decoding? The Role of Numerical Precision in Orthrus

Abstract:Orthrus is a hybrid autoregressive-diffusion architecture that accelerates autoregressive language-model inference by generating multiple tokens in parallel while using a frozen autoregressive backbone. Its central claim is that an intra-model consensus mechanism enables lossless speculative decoding, producing the same output sequence as the autoregressive model. We independently reproduce Orthrus and examine this claim under different numerical precisions. Under BF16 inference, exact trajectory matching occurs in only 45% of cases for the authors' checkpoint and 43% for our independently trained model across 1,190 prompts from 12 domains. The probability of exact matching is also strongly associated with the response-conditional perplexity of the reference model. Despite this trajectory divergence, Orthrus does not show systematic degradation on downstream lm-eval-harness benchmarks. In contrast, repeating the trajectory evaluation with FP32 yields exact trajectory matching on all evaluated prompts. These results show that the practical losslessness of Orthrus depends on numerical precision and that exact trajectory equivalence should be evaluated separately from downstream task performance.

Computation and Language (cs.CL); Artificial Intelligence (cs.AI)

arXiv:2609.15504 [cs.CL]

(or arXiv:2609.15504v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2609.15504 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 270 words

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