This paradigm has been challenged by practical deployments, which are more dynamic in nature.

In Algorithm 1 we present the memorizing and recalling procedures of the single-layer tPC.Algorithm 1 Memorizing and recalling with single-layer tPC Here we present the proof for Property 1 in the main text, that the single-layer tPC can be viewed as a "whitened" version of the AHN. When applied to the data sequence, it whitens the data such that (i.e., Eq.16 in the main text): These observations are consistent with our numerical results shown in Figure 1. MCAHN has a much larger MSE than that of the tPC because of the entirely wrong recalls. In Figure 1 we also present the online recall results of the models in MovingMNIST, CIFAR10 and UCF101. In Fig 4 we show a natural example of aliased sequences where a movie of a human doing push-ups is memorized and recalled by the model.

To this end, two broad strategies have been outlined in prior literature to explain models.

Generative models have demonstrated human-level proficiency in various benchmarks across domains like programming, natural sciences, and general knowledge.

Fact-checking is extensively studied in the context of misinformation and disinformation, addressing objective inaccuracies. However, a softer form of misinformation involves responses that are factually correct but lack certain features such as clarity and relevance. This challenge is prevalent in formal Question-Answer (QA) settings such as press conferences in finance, politics, sports, and other domains, where subjective answers can obscure transparency. Despite this, there is a lack of manually annotated datasets for subjective features across multiple dimensions. To address this gap, we introduce SubjECTive-QA, a human annotated dataset on Earnings Call Transcripts' (ECTs) QA sessions as the answers given by company representatives are often open to subjective interpretations and scrutiny. The dataset includes 49, 446 annotations for long-form QA pairs across six features: Assertive, Cautious, Optimistic, Specific, Clear, and Relevant . These features are carefully selected to encompass the key attributes that reflect the tone of the answers provided during QA sessions across different domains. Our findings are that the best-performing Pre-trained Language Model (PLM), RoBERTa-base, has similar weighted F1 scores to Llama-3-70b-Chat on features with lower subjectivity, such as Relevant and Clear, with a mean difference of 2 .