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arXiv 2607.06924cs.LGcs.NE

内在噪声整合:一种杜布障碍条件扩散将模拟设备噪声转化为持续学习资源

Intrinsic-Noise Consolidation: A Doob-Barrier-Conditioned Diffusion Turns Analog Device Noise into a Continual-Learning Resource

Gunner Levi Howe

AI总结:

研究探讨模拟神经形态硬件中内在设备噪声能否整合记忆,提出将突触整合视为杜布h变换的方法,经实验验证该方法能使内在噪声成为整合红利,如在Split - MNIST和BrainScaleS - 2芯片实验中展现独特效果。

摘要:

在模拟神经形态硬件上,内在设备噪声通常是一种精度代价。我们探讨它是否能整合记忆。我们将每个突触的整合视为杜布h变换:使每个权重的随机动力学以不越过其整合值周围的记忆关键障碍为条件。条件扩散获得额外漂移σ²d/dw log h,这是由噪声方差本身放大的恢复力,在障碍处发散。我们明确指出新颖之处:我们的规则中包含的锚定漂移 -s(w - μ)并非我们首创(是OUA、MESU和EWC的极限),我们舍弃了它。我们仅主张(a)作为突触规则的杜布障碍条件作用,据我们所知此前无人提出(我们发现的每个h变换应用都是生成建模,而非突触方面的),以及(b)一个可证伪的预测:增加内在噪声会非单调地提高顺序任务保留率,这是一种锚定漂移方法无法产生的倒U形。我们预先将此注册为通过/不通过门限;它通过了。在单头Split - MNIST(8个种子)上,该规则在内部最优时将保留率提高了10.9个百分点(配对威尔科克森检验p = 0.004),而匹配的OU/EWC/MESU锚定是单调的。去除条件作用会消除效果;最优值跟踪障碍;倒U形在第二个任务流以及噪声进入前向传播的情况下依然存在。然后我们测量了真实BrainScaleS - 2芯片上的内在噪声(加性,每次试验独立,可通过片上平均调节),并在芯片上运行该规则,使其噪声处于训练循环中:在匹配的平均准确率下,障碍条件作用比匹配的对照更好地保留了先前任务15.6个百分点,这是一种稳定性 - 可塑性转变,而非净准确率提升(单个种子;测量了保留率,模拟了能量)。因此,内在模拟噪声成为数字加速器必须消耗能量才能产生的整合红利。

英文摘要:

On analog neuromorphic hardware, intrinsic device noise is normally an accuracy tax. We ask whether it can instead consolidate memories. We cast per-synapse consolidation as a Doob h-transform: condition each weight's stochastic dynamics on never crossing a memory-critical barrier around its consolidated value. The conditioned diffusion gains an extra drift sigma^2 d/dw log h, a restoring force amplified by the noise variance itself that diverges at the barrier. We are explicit about novelty: the anchored drift -s(w-mu) our rule also contains is not ours (the limit of OUA, MESU, and EWC), and we surrender it. We claim only the conjunction of (a) the Doob barrier-conditioning as a synaptic rule, to our knowledge unclaimed (every h-transform use we found is generative modeling, none synaptic), and (b) a falsifiable prediction: increasing intrinsic noise non-monotonically improves sequential-task retention, an inverted-U that anchored-drift methods cannot produce. We pre-registered this as a go/no-go gate; it passes. On single-head Split-MNIST (8 seeds) the rule lifts retention 10.9 points at an interior optimum (paired Wilcoxon p=0.004), while matched OU/EWC/MESU anchors are monotone. Ablating the conditioning removes the effect; the optimum tracks the barrier; the inverted-U survives a second task stream and the realization where noise enters the forward pass. We then measure the intrinsic noise on real BrainScaleS-2 silicon (additive, trial-to-trial independent, tunable via on-chip averaging) and run the rule on the chip with its noise in the training loop: barrier-conditioning retains a prior task 15.6 points better than the matched control at matched average accuracy, a stability-plasticity shift, not a net-accuracy win (single seed; retention measured, energy modelled). Intrinsic analog noise thus becomes a consolidation dividend a digital accelerator must spend energy to generate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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