Deploying Large Language Models (LLMs) on edge devices such as PCs enables low-latency inference with strong privacy guarantees, but long-context inference is fundamentally constrained by limited memory and compute resources. Beyond model parameters, the KV cache becomes the dominant bottleneck due to its linear growth with context length. Although prior work exploits contextual sparsity to evict unimportant KV data, these approaches are largely designed for memory-rich platforms and incur prohibitive data transfer overhead when applied to resource-constrained edge devices with external storage. In this paper, we propose HillInfer, an importance-aware long-context LLM inference framework on the edge that leverages SmartSSD-assisted hierarchical KV cache management. HillInfer jointly manages KV cache pools across the CPU and SmartSSD, and performs in-storage importance evaluation to reduce unnecessary data movement. Furthermore, we design an adaptive, prefetch-based pipeline that overlaps computation and KV data transfer across GPU, CPU, and SmartSSD, minimizing end-to-end inference latency without sacrificing accuracy. We implement HillInfer on a PC with a commodity GPU, and experiments across multiple models and benchmarks demonstrate up to 8.56 $\times$ speedup over baselines while preserving model accuracy.

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