Recent advances in reinforcement learning–based fine-tuning of multimodal large language models (MLLMs) have highlighted the importance of entropy control for stable optimization. While entropy has been extensively studied in reasoning-centric settings, its behavior and optimization role in perception-oriented tasks remain insufficiently understood. In this work, we reveal that entropy exhibits fundamentally different roles in perception tasks compared to reasoning, particularly under continuous prediction and reward. Using visual grounding as a case study, we show that entropy can remain misaligned with optimization objectives due to persistent low-probability yet high-advantage samples. Building on these findings, we introduce ECVGPO (Entropy Control Visual Grounding Policy Optimization), an interpretable algorithm designed for effective entropy regulation. Through entropy control, the trade-off between exploration and exploitation is better balanced. Experiments show that ECVGPO achieves broad improvements across various benchmarks and models.

Multi-head Latent Attention (MLA) is an innovative architecture proposed by DeepSeek, designed to ensure efficient and economical inference by significantly compressing the Key-Value (KV) cache into a latent vector. Compared to MLA, standard LLMs employing Multi-Head Attention (MHA) and its variants such as Grouped-Query Attention (GQA) exhibit significant cost disadvantages. Enabling well-trained LLMs (e.g., Llama) to rapidly adapt to MLA without pre-training from scratch is both meaningful and challenging. This paper proposes the first data-efficient fine-tuning method for transitioning from MHA to MLA (MHA2MLA), which includes two key components: for partial-RoPE, we remove RoPE from dimensions of queries and keys that contribute less to the attention scores, for low-rank approximation, we introduce joint SVD approximations based on the pre-trained parameters of keys and values. These carefully designed strategies enable MHA2MLA to recover performance using only a small fraction (0.6% to 1%) of the data, significantly reducing inference costs while seamlessly integrating with compression techniques such as KV cache quantization. For example, the KV cache size of Llama2-7B is reduced by 92.19%, with only a 1% drop in LongBench performance. Our source code is publicly available at https://github.com/JT-Ushio/MHA2MLA.