给超维度计算加不确定性评估,让神经解码更可靠。
ConformalHDC: Uncertainty-Aware Hyperdimensional Computing with Application to Neural Decoding
- 结合置信预测与超维计算,生成有统计保证的决策边界。
- 在海马神经元数据上准确解码非空间刺激,且能识别异常状态。
- 适合需要可信推理的神经形态计算场景,如脑机接口。
超维度计算(HDC)为类脑学习提供了计算高效的范式,但缺乏严格的不确定性量化,导致决策边界模糊,易受异常值、对抗扰动和分布外输入影响。为此,我们提出ConformalHDC,一个融合置信预测统计保证与HDC计算效率的统一框架。该框架包含两种互补变体:其一为集合值形式,利用精心设计的符合度评分构建封闭决策边界,在有限样本下提供无需分布假设的覆盖保证;其二为点值形式,使用相同符合度评分输出单一预测,可提升传统HDC的准确性,通过建模类别间交互。我们在多个真实世界数据集上验证了该框架的广泛适用性。特别地,将其应用于从海马神经元放电活动中解码序列记忆任务中的非空间刺激信息。结果表明,ConformalHDC不仅能准确解码神经活动中的刺激信息,还能提供严格的不确定性估计,并在遇到其他行为状态数据时正确拒绝判断。这些能力使其成为神经形态计算中可靠的不确定性感知基础。
原文摘要 · Abstract (English)
Hyperdimensional Computing (HDC) offers a computationally efficient paradigm for neuromorphic learning. Yet, it lacks rigorous uncertainty quantification, leading to open decision boundaries and, consequently, vulnerability to outliers, adversarial perturbations, and out-of-distribution inputs. To address these limitations, we introduce ConformalHDC, a unified framework that combines the statistical guarantees of conformal prediction with the computational efficiency of HDC. For this framework, we propose two complementary variations. First, the set-valued formulation provides finite-sample, distribution-free coverage guarantees. Using carefully designed conformity scores, it forms enclosed decision boundaries that improve robustness to non-conforming inputs. Second, the point-valued formulation leverages the same conformity scores to produce a single prediction when desired, potentially improving accuracy over traditional HDC by accounting for class interactions. We demonstrate the broad applicability of the proposed framework through evaluations on multiple real-world datasets. In particular, we apply our method to the challenging problem of decoding non-spatial stimulus information from the spiking activity of hippocampal neurons recorded as subjects performed a sequence memory task. Our results show that ConformalHDC not only accurately decodes the stimulus information represented in the neural activity data, but also provides rigorous uncertainty estimates and correctly abstains when presented with data from other behavioral states. Overall, these capabilities position the framework as a reliable, uncertainty-aware foundation for neuromorphic computing.
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