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Maohua Li

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5 publications

preprint2026arXiv

Full Attention Strikes Back: Transferring Full Attention into Sparse within Hundred Training Steps

Long-context inference in large language models is bottlenecked by the quadratic cost of full attention. Existing efficient alternatives often rely either on native sparse training or on heuristic token eviction, creating an undesirable trade-off among efficiency, training cost, and accuracy. In this work, we show that full-attention LLMs are already intrinsically sparse and can be transformed into highly sparse models with only minimal adaptation. Our approach is built on three observations: (1) only a small subset of attention heads truly requires full long-context processing; (2) long-range retrieval is governed primarily by a low-dimensional subspace, allowing relevant tokens to be retrieved efficiently with a 16-dimensional indexer; and (3) the useful token budget is strongly query-dependent, making dynamic top-pp selection more suitable than fixed top-kk sparsification. Based on these insights, we propose RTPurbo, which retains the full KV cache only for retrieval heads and introduces a lightweight token indexer for sparse attention. By exploiting the model's intrinsic sparsity, RTPurbo achieves sparsification with only a few hundred training steps. Experiments on long-context benchmarks and reasoning tasks show that RTPurbo preserves near-lossless accuracy while delivering substantial efficiency gains, including up to a 9.36×\times prefill speedup at 1M context and about a 2.01×\times decode speedup. These results suggest that strong sparse inference can be obtained from standard full-attention training without expensive native sparse pretraining.

preprint2015arXiv

Ghost symmetry of the discrete KP hierarchy

In this paper, with the help of the SS function and ghost symmetry for the discrete KP hierarchy which is a semi-discrete version of the KP hierarchy, the ghost flow on its eigenfunction(adjoint eigenfunction) and the spectral representation of its Baker-Akhiezer function and adjoint Baker-Akhiezer function are derived. From these observations above, some important distinctions between the discrete KP hierarchy and KP hierarchy are shown. Also we give the ghost flow on the tau function and another kind of proof of the ASvM formula of the discrete KP hierarchy.

preprint2012arXiv

The Recursion operators of the BKP hierarchy and the CKP Hierarchy

In this paper, under the constraints of the BKP(CKP) hierarchy, a crucial observation is that the odd dynamical variable u2k+1u_{2k+1} can be explicitly expressed by the even dynamical variable u2ku_{2k} in the Lax operator LL through a new operator BB. Using operator BB, the essential differences between the BKP hierarchy and the CKP hierarchy are given by the flow equations and the recursion operators under the (2n+1)(2n+1)-reduction. The formal formulas of the recursion operators for the BKP and CKP hierarchy under (2n+1)(2n+1)-reduction are given. To illustrate this method, the two recursion operators are constructed explicitly for the 3-reduction of the BKP and CKP hierarchies. The t7t_7 flows of u2u_2 are generated from t1t_1 flows by the above recursion operators, which are consistent with the corresponding flows generated by the flow equations under 3-reduction.

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