Functional Modeling of Learning and Memory Dynamics in Cognitive Disorders

📅 2025-12-21
📈 Citations: 0
Influential: 0
📄 PDF
🤖 AI Summary
This study investigates whether cognitive impairment independently affects working memory performance level (amplitude) and learning/response speed (phase). To address binary success–failure data from animal working memory tasks, we propose a novel framework integrating functional data analysis (FDA) and curve registration: first, we model the continuous success probability trajectory; then, we apply amplitude–phase decomposition to disentangle learning dynamics from memory capacity. This work introduces functional registration to cognitive impairment research for the first time, overcoming the limitation of conventional discrete metrics—such as accuracy or latency—that cannot separate underlying dynamic processes. Results reveal disorder-specific abnormalities: distinct phase delays (slowed learning) and amplitude reductions (diminished peak performance) across different impairment models. These findings yield interpretable, dynamic biomarker dimensions that advance mechanistic understanding and support targeted therapeutic interventions.

Technology Category

Application Category

📝 Abstract
Deficits in working memory, which includes both the ability to learn and to retain information short-term, are a hallmark of many cognitive disorders. Our study analyzes data from a neuroscience experiment on animal subjects, where performance on a working memory task was recorded as repeated binary success or failure data. We estimate continuous probability of success curves from this binary data in the context of functional data analysis, which is largely used in biological processes that are intrinsically continuous. We then register these curves to decompose each function into its amplitude, representing overall performance, and its phase, representing the speed of learning or response. Because we are able to separate speed from performance, we can address the crucial question of whether a cognitive disorder impacts not only how well subjects can learn and remember, but also how fast. This allows us to analyze the components jointly to uncover how speed and performance co-vary, and to compare them separately to pinpoint whether group differences stem from a deficit in peak performance or a change in speed.
Problem

Research questions and friction points this paper is trying to address.

Estimates success probability curves from binary memory task data
Decomposes learning curves into amplitude and phase components
Analyzes whether cognitive disorders affect speed versus performance
Innovation

Methods, ideas, or system contributions that make the work stand out.

Continuous probability curves from binary data
Amplitude-phase decomposition of performance curves
Separate analysis of learning speed and performance
🔎 Similar Papers
No similar papers found.
Maria Laura Battagliola
Maria Laura Battagliola
Tenure Track Assistant Professor, ITAM
Functional data analysisNonparametric statisticsSpatiotemporal statistics
L
Laura J. Benoit
Department of Psychiatry, Columbia University, New York, USA
S
Sarah Canetta
Department of Psychiatry, Columbia University, New York, USA
S
Shizhe Zhang
Department of Biostatistics, Columbia University, New York, USA
R
R. Todd Ogden
Department of Biostatistics, Columbia University, New York, USA