On the Optimal Temporal Resolution for Information Representation in Neural Activity: A Theoretical Analysis

IntroductionAlthough neural activity is organized across temporal and spatial scales, the principles that determine the accuracy and fidelity of neural information representation across scales remain unclear. In particular, while recent empirical results have reported mesoscopic optimality in neural decoding, no theoretical accounts exist that explain when and why such intermediate scales emerge as optimal. Here, we develop an analytical framework to study the optimal temporal scale of information representation and its dependence on the dynamic structure of signal and noise in neural data. Materials and MethodsWe formulate a multiscale theoretical model in which neural population activity is represented by temporally encoded trial vectors at microscopic, mesoscopic, and macroscopic resolutions. Neural responses are modeled as class-dependent mean activations (signal) corrupted by temporally correlated noise, and decay rates of correlations in both signal and noise are varied parametrically. Representational quality at each scale is quantified using the sensitivity index (d-prime) for decoding condition from neural activity. ResultsWe derive closed-form expressions for the sensitivity index at each temporal scale. These expressions reveal the key roles of signal and noise correlations as the main determinants of condition decodability at all scales. Comparing expressions under various combinations of signal and noise correlations reveals two regimes. First, when signal and noise correlations are absent or persistent over time, the optimal resolution falls at one of two extremes: macroscale (resp. microscale) if signal correlations are stronger (resp. weaker) than noise correlations. In contrast, when both signal and noise correlations decay with temporal separation, temporal integration produces a nontrivial trade-off: moderate integration improves decodability by suppressing noise while preserving coherent signal, whereas excessive integration degrades signal and decodability. Therefore, only in the latter regime, mesoscopic representations emerge as optimal across a broad range of biologically plausible parameters. DiscussionThis work provides a theoretical explanation for how the optimal temporal scale of neural information representation depends on the interplay between signal and noise correlations and their temporal decay. Broadly, the framework establishes temporal integration as a principled mechanism linking multiscale neural dynamics to information representation and offers testable predictions across recording modalities and neural systems.