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Enterprise AI Analysis: Curiosity-Critic: Cumulative Prediction Error Improvement as a Tractable Intrinsic Reward for World Model Training

Enterprise AI Analysis

Curiosity-Critic: Cumulative Prediction Error Improvement as a Tractable Intrinsic Reward for World Model Training

Local prediction-error-based curiosity rewards focus on the current transition without considering the world model's cumulative prediction error across all visited transitions. We introduce Curiosity-Critic, which grounds its intrinsic reward in the improvement of this cumulative objective, and show that it admits a tractable per-step surrogate: the difference between the current prediction error and the asymptotic error baseline of the current state transition. We estimate this error baseline online with a learned critic co-trained alongside the world model; regressing a single scalar, the critic converges well before the world model saturates, redirecting exploration toward learnable transitions without oracle knowledge of the noise floor. The reward is higher for learnable transitions and collapses toward the error baseline for stochastic ones, effectively separating epistemic (reducible) from aleatoric (irreducible) prediction error online. Prior prediction-error curiosity formulations, from Schmidhuber (1991) to learned-feature-space variants, emerge as special cases corresponding to specific approximations of this error baseline. Experiments on a stochastic grid world show that Curiosity-Critic outperforms prediction-error, visitation-count, and Random Network Distillation methods in training speed and final world model accuracy.

Key Performance Indicators

Curiosity-Critic demonstrates significant advancements in world model training, leading to more robust and efficient AI systems.

1.858 Best Final L2 Prediction Error
13,400 Steps Faster Convergence to Error < 3.0
70.9% Exploration Focus on Learnable Regions

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Problem Overview
Tractable Reward
Curiosity-Critic Arch.
Empirical Validation

Addressing Core Challenges in Intrinsic Rewards

Previous intrinsic motivation methods often struggle with environments containing irreducible stochasticity (the 'noisy TV' problem) and fail to distinguish between learnable (epistemic) and unlearnable (aleatoric) prediction errors. Curiosity-Critic's approach explicitly tackles these limitations.

Feature Prior Approaches Curiosity-Critic
Reward Basis Local prediction error (Curiosity V1, RND) or one-step improvement (Curiosity V2) Cumulative prediction error improvement, approximating epistemic error
Noise Robustness Susceptible to 'noisy TV' problem, gets stuck in stochastic regions Learned critic separates epistemic (reducible) from aleatoric (irreducible) error, avoiding unlearnable transitions
Exploration Strategy Often undirected or prone to revisiting noisy states Directs exploration towards genuinely learnable transitions, leading to faster world model convergence
Computational Cost Varies (single model, ensembles, fixed networks) Co-trained neural critic adds minimal overhead, converges faster than world model

Curiosity-Critic's Core Mechanism

Curiosity-Critic redefines intrinsic reward by focusing on the improvement of the world model's cumulative prediction error. This seemingly complex objective is made tractable through a per-step surrogate, guided by a learned critic.

Agent interacts, samples (st, at, st+1)
World Model computes current prediction error e(st, at | θt)
World Model updates (θt → θt+1) based on (st, at, st+1)
Critic estimates asymptotic error baseline Φt+1(st, at) from e(st, at | θt+1)
Intrinsic Reward rt = e(st, at | θt) - Φt+1(st, at)
Policy uses rt to update exploration strategy

The Self-Correcting Nature of the Curiosity-Critic

A key innovation of Curiosity-Critic is its robust, self-correcting feedback loop during concurrent training of the critic and policy. This mechanism ensures that exploration is dynamically guided towards productive learning opportunities.

Adaptive Exploration Guidance

The neural critic is trained in parallel with the world model, learning to predict the irreducible noise floor (aleatoric uncertainty) of state transitions. If the critic initially underestimates this noise for a stochastic, unlearnable transition, the computed intrinsic reward rt remains artificially high. This incentivizes the policy to repeatedly revisit that transition. Critically, each revisit provides additional training data for the critic, driving its estimate Φt+1(st, at) upwards until it accurately reflects the true irreducible error. Once this occurs, rt drops to near zero, and the policy is effectively redirected away from unlearnable noise towards genuinely learnable transitions. This dynamic adjustment allows Curiosity-Critic to efficiently separate epistemic (reducible) from aleatoric (irreducible) prediction error online, without requiring any oracle knowledge of the environment's noise characteristics. This ensures that the agent's efforts are always focused on areas where true learning can occur, maximizing world model accuracy and training speed.

Achieving Superior World Model Accuracy

Experiments on a stochastic 2D grid world demonstrate Curiosity-Critic's significant performance advantage over traditional methods, showcasing its ability to build more accurate world models.

1.858 Mean L2 Prediction Error (Neural Critic Model) on deterministic cells, outperforming all non-oracle methods.

Note: Lower is better. Competitors like RND (State) achieved 2.220, and Curiosity V2 finished at 2.939.

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