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arxiv: 2605.27929 · v1 · pith:2DD4PFBDnew · submitted 2026-05-27 · 🧬 q-bio.NC · cs.LG

Exploratory Experience Shapes the Geometry of Predictive Representations

Kseniia Shilova , Abdelrahman Sharafeldin , Advay Balakrishnan , Hannah Choi This is my paper

Pith reviewed 2026-06-29 09:36 UTC · model grok-4.3

classification 🧬 q-bio.NC cs.LG
keywords explorationexploitationpredictive codingrepresentational geometrymaze navigationlatent spacemouse behavioractive sensing
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The pith

Exploratory behavior produces more spatially organized predictive representations that preserve maze transitions in both agents and mice.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines how the balance between exploration and exploitation in behavior shapes the geometry of internal predictive representations. It introduces an artificial agent whose controllable parameter switches between information-gain-driven exploration and reward-driven exploitation while updating a predictive-coding model of future states. Exploratory regimes yield latent representations organized around spatial locations and transition structure, whereas exploitative regimes produce less organized ones. When the identical model is trained on real mouse trajectories through the same maze, animals with broader visitation patterns generate geometries that align with those of exploratory agents, while restricted patterns align with exploitative ones. This establishes a direct link between behavioral regime and the structure of learned predictive models.

Core claim

Exploratory agents develop representations that are more spatially organized and better preserve the structure of maze transitions in latent space. In contrast, exploitative agents learn less organized representations. More exploratory mice show representational geometries that closely match those of exploratory agents.

What carries the argument

Predictive-coding perception model updated from the agent's own trajectories, predicting future maze states and reward probability, with a controllable parameter selecting actions by expected information gain during exploration or by predicted reward during exploitation.

Load-bearing premise

That training the same predictive-coding model on mouse trajectories produces representations directly comparable to those from the artificial agent, with differences in mouse visitation patterns reflecting the same exploratory versus exploitative regimes as the agent's parameter.

What would settle it

If training the model on trajectories from the most exploratory mice produces latent geometries that fail to match the spatial organization and transition preservation seen in exploratory agents.

Figures

Figures reproduced from arXiv: 2605.27929 by Abdelrahman Sharafeldin, Advay Balakrishnan, Hannah Choi, Kseniia Shilova.

Figure 1
Figure 1. Figure 1: Predictive-coding agent with exploration-exploitation switching. Top: Overview of the action-perception loop. At each step, the agent evaluates locally valid actions using its current predictive model. In the exploratory regime, actions are sampled according to expected information gain (EIG); in the reward-driven regime, actions are selected using a value map constructed from learned reward predictions an… view at source ↗
Figure 2
Figure 2. Figure 2: Behavioral consequences of exploration-exploitation balance. A: Example trajectories of an exploratory agent and a more reward-driven agent. The reward-driven agent visits the water port more often, whereas the exploratory agent samples a broader range of maze branches. B: Evolution of the learned reward map over training. The reward map is constructed from recent experience by averaging predicted reward a… view at source ↗
Figure 3
Figure 3. Figure 3: Exploration shapes the geometry of predictive latent representations in agents and mice. A: UMAP visualizations of prior latent states for exploratory and reward-driven agents, and for two example mice. Exploratory agents develop depth-aligned, branched latent spaces with clearer separation between outward (root-to-leaf) and inward (leaf-to-root) transitions. More reward-driven agents show less organized l… view at source ↗
Figure 4
Figure 4. Figure 4: Additional task and mouse-trajectory visualizations. A: Binary-tree maze used in the task. Nodes are colored and labeled by index; node 116 is the fixed water-port node. B: Example trajectories from exploratory mouse B5 and more reward-focused mouse C8. Color indicates normalized step within the plotted bouts. C8 repeatedly follows trajectories toward the water-port, whereas B5 samples the maze more broadl… view at source ↗
Figure 5
Figure 5. Figure 5: Additional analyses of reward-map learning and behavioral regimes. A: Transforma￾tion of the learned reward map into a value map. B: Example learned reward maps from individual agents, shown without averaging across random seeds. C: Relationship between reward-driven switching probability and behavioral regime. Top: Duration of reward-driven episodes as a function of the switching probability p. Bottom: Ex… view at source ↗
Figure 6
Figure 6. Figure 6: Single-unit spatial and path-transition tuning. A: Selected units from the recurrent state ht show spatial tuning across the maze. Examples include units tuned to broad maze regions, smaller subregions, terminal leaves, and specific paths. Similar tuning patterns are observed in a long-trained agent and in a combined-mouse model. B: Path-transition tuning of ht units along an example trajectory. Columns co… view at source ↗
read the original abstract

Active sensing links behavior and learning through an action-perception loop: actions determine the observations used to update internal predictive models of perception, which subsequently guide the next actions. Predictive-coding frameworks provide a natural way to model this process, since internal representations are continuously updated to predict future observations. Here, we ask how exploratory and exploitative behavioral strategies shape these internal predictive representations. We build an online learning agent in a tree-like maze with a controllable parameter regulating the balance between exploratory and exploitative regimes. The agent updates a predictive-coding-based perception model from experience generated by its own behavior. The model predicts both future maze states and reward probability, allowing the agent to select actions either by expected information gain during exploration or by predicted reward during exploitation. We show that the resulting internal predictive representations depend strongly on the agent's behavioral regime. Exploratory agents develop representations that are more spatially organized and better preserve the structure of maze transitions in latent space. In contrast, exploitative agents learn less organized representations. We then train this predictive model on natural trajectories of water-deprived mice navigating the same maze and compare the resulting representations with those learned from agent trajectories. More exploratory mice show representational geometries that closely match those of exploratory agents, whereas mice with more restricted visitation patterns resemble reward-driven, exploitative agents. Together, these findings suggest that exploration enables predictive models to form generalized internal representations by organizing latent space around both spatial location and transition context in artificial agents and animals.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The paper claims that a predictive-coding agent in a tree-like maze develops more spatially organized latent representations that better preserve transition structure when its behavior is biased toward exploration (via a controllable balance parameter) rather than exploitation; the same model trained on water-deprived mouse trajectories yields geometries that align with the exploratory-agent regime for mice showing broader visitation and with the exploitative regime for mice showing restricted visitation, suggesting that exploratory experience shapes generalized internal predictive representations in both artificial agents and animals.

Significance. If the central comparison holds after controlling for experienced transition statistics, the result would link behavioral regime directly to the geometry of predictive representations and provide a concrete, testable bridge between controllable artificial agents and biological data.

major comments (1)
  1. [Results on mouse–agent representational comparison] The central mouse–agent alignment claim (abstract and Results on mouse trajectories) rests on the assumption that post-hoc partitioning of mice by visitation metric isolates the same exploratory/exploitative regime as the agent’s controllable balance parameter. The abstract gives no indication that training data volume, visit counts, or empirical transition matrices were equalized across conditions before geometry comparison; if the reported metrics (spatial organization, transition preservation) are sensitive to the distribution of experienced transitions rather than the regime per se, the alignment could be an artifact of unequal coverage.
minor comments (2)
  1. [Methods] Clarify the exact definition and units of the “balance parameter” and how it is held fixed versus varied across agent runs.
  2. [Results] Specify the precise geometry metrics (e.g., which distance or correlation measure quantifies “spatial organization” and “transition preservation”) and report effect sizes with confidence intervals.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their constructive comments, which highlight an important methodological consideration for the mouse–agent comparison. We address the concern point-by-point below and will incorporate revisions to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Results on mouse–agent representational comparison] The central mouse–agent alignment claim (abstract and Results on mouse trajectories) rests on the assumption that post-hoc partitioning of mice by visitation metric isolates the same exploratory/exploitative regime as the agent’s controllable balance parameter. The abstract gives no indication that training data volume, visit counts, or empirical transition matrices were equalized across conditions before geometry comparison; if the reported metrics (spatial organization, transition preservation) are sensitive to the distribution of experienced transitions rather than the regime per se, the alignment could be an artifact of unequal coverage.

    Authors: We agree that equalizing experienced transition statistics is essential to isolate the effect of behavioral regime from coverage differences. The visitation metric used for partitioning directly operationalizes the regime (broader vs. restricted exploration), and the agent’s controllable parameter produces analogous differences in coverage. However, the referee correctly notes that the abstract does not explicitly state controls for data volume or transition matrices. In the revision we will: (1) report visit counts, trajectory numbers, and transition-matrix statistics for each mouse group in the abstract and Results; (2) add a supplementary analysis that subsamples mouse trajectories to match the empirical transition distributions and total visit counts of the agent conditions as closely as possible, then recompute the geometry metrics (spatial organization and transition preservation); and (3) verify whether the mouse–agent alignment persists under these matched conditions. If the alignment remains, it supports that regime per se shapes the representations; if not, we will qualify the claim accordingly. This control directly addresses the potential artifact raised. revision: yes

Circularity Check

0 steps flagged

No circularity: representations shaped by regime-specific trajectories; mouse comparison is external validation

full rationale

The paper constructs an agent whose behavior parameter controls trajectory statistics, then trains the same predictive model on those trajectories and measures geometry metrics on the resulting latents. This is an empirical demonstration that different input distributions produce different geometries, not a self-definitional loop or a fitted parameter renamed as prediction. The mouse analysis partitions real trajectories post-hoc by a visitation metric and applies the identical model; no equations or self-citations are shown that would make the geometry metrics reduce to the regime parameter by construction. The derivation chain is self-contained against the external mouse data and does not rely on load-bearing self-citation.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The claim rests on the predictive-coding framework as a model of the action-perception loop and on the assumption that the same model architecture can be trained on both synthetic and biological trajectories.

free parameters (1)
  • balance parameter between exploration and exploitation
    Controllable parameter regulating the balance between exploratory and exploitative regimes in the agent.
axioms (1)
  • domain assumption Predictive-coding frameworks provide a natural way to model the action-perception loop
    Stated directly in the abstract as the modeling basis.

pith-pipeline@v0.9.1-grok · 5798 in / 1182 out tokens · 34793 ms · 2026-06-29T09:36:37.046954+00:00 · methodology

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