arXiv Machine Learning By Arnol Manuel Fokam, Fasseu Sieyondji Akpevwoghene, Edem Fiifi Dawson

How Temporal Correlations Shape Memory in Linear Recurrent Neural Networks

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The paper analyzes how temporal correlations in input sequences affect memory formation in linear recurrent neural networks (LRNNs). By solving the learning dynamics for correlated inputs, it shows that correlation introduces a cost to retaining past information, reshaping the learning trajectory and reducing the network’s memory of past inputs. Key findings include a correlation‑dependent threshold for memory retention, the influence of input similarity on memory usefulness, and the emergence of a feedthrough path when zero error is required.

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arXiv AI
Sep 1

On the Plasticity Collapse in Continual Machine Unlearning

The paper investigates continual machine unlearning, where models must forget data over time. It identifies a fundamental issue called plasticity collapse, where successive unlearning requests cause geometric constraints that saturate parameter space, leading to two failure modes: forward failure (reduced forgetting quality) and backward failure (re‑memorization). Experiments across architectures and datasets confirm that plasticity collapse is a pervasive problem in continual unlearning.

By Yingdan Shi, Xiang Xu, Kaize Ding, Alfred O. Hero, Ren Wang