Memory Stability ($S$) is a quantitative metric representing the durability of a memory trace in the brain. Specifically, within the FSRS Algorithm, Stability is defined as the number of days required for the probability of recall to drop from 100% to 90%.
Definition
The Mechanism: Storage Strength vs. Retrieval Strength
According to the New Theory of Disuse proposed by Bjork and Bjork (1992), human memory is not a single variable. It consists of two distinct components:
1. Retrieval Strength: How accessible a memory is right now (e.g., immediately after reading a flashcard). This decays rapidly.
2. Storage Strength (Stability): How entrenched the memory is. This determines how slowly Retrieval Strength decays over time.
The "Cramming" Paradox
Bjork’s research explains why cramming fails: passive study increases Retrieval Strength (you feel like you know it) but fails to increase Stability. Cognitive Load Theory suggests that true learning (increasing Stability) only occurs when a retrieval attempt is successful despite low Retrieval Strength (i.e., when it is hard to remember).
The Mathematical Model
Modern algorithms like FSRS operationalize Bjork's theory by calculating Stability ($S$) using a decay formula. As detailed in our internal analysis of learning metrics, the probability of recall ($P(R)$) is modeled as:
$$P(R) \approx 0.9^{\frac{t}{S}}$$
Where $t$ is the time elapsed and $S$ is the stability.
Application in Our Software
We do not track "Streaks" or "XP" as primary metrics; we track Stability. When you review a word, our goal is to increase its $S$-value.
- Novice Word: $S = 1$ (Recall probability drops to 90% in 1 day).
- Mastered Word: $S = 365$ (Recall probability drops to 90% in 1 year).This ensures you stop reviewing words you have already stabilized, focusing your efforts only on unstable items.
Works Cited
1. Bjork, R. A., & Bjork, E. L. (1992). A new theory of disuse and an old theory of stimulus fluctuation. From Learning Processes to Cognitive Processes: Essays in Honor of William K. Estes, 2, 35-67.
2. AnkiWeb. (2023). What spaced repetition algorithm does Anki use? (Reference for the implementation of FSRS and Stability metrics).
