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This research paper investigates when and why pairwise losses outperform pointwise losses for reward learning by analyzing both approaches within a grouped offline contextual-bandit framework. The authors compare Value Regression (VR), which directly fits absolute observed rewards, with Value Difference Regression (VDR), which models reward differences between action pairs sharing the same context. Through a localized mathematical analysis, the study establishes finite-sample prediction guarantees and offline-regret bounds for both finite and linear function classes. The theoretical findings reveal that VDR successfully eliminates nuisance-induced misspecification bias that disrupts pointwise regression, whereas VR can maintain lower estimation variance under correct specification depending on the underlying feature geometry. Consequently, the choice between these learning strategies introduces a fundamental bias-variance tradeoff, which is further validated through both synthetic simulations and real-world language model response-selection experiments.
This paper explores weak-strong verification policies for large language models, presenting a framework that balances the affordability of scalable internal checks with the precision of resource-intensive external validation. To address the trade-off between type-I errors, type-II errors, and verification frequency, the authors introduce Selective Strong Verification (SSV), an online calibration algorithm that operates without prior distributional assumptions. Through experiments on mathematical reasoning and sequential puzzle-solving, the researchers demonstrate that this method effectively maintains target error rates while significantly reducing computational overhead.
This paper investigate the fundamental limits of language model alignment by establishing exact theoretical boundaries for reward improvement under a KL-divergence constraint using Jeffreys divergence and a computable covariance estimator. They demonstrate that best-of-N sampling closely approaches this theoretical Pareto frontier, whereas gradient-based methods like PPO and GRPO remain suboptimal. Additionally, the literature analyzes how proxy reward errors drive performance degradation and reward hacking, while proving that reward ensemblingsuccessfully mitigates these issues at a convergence rate of O(n⁻¹ᐟ²).
This paper introduces DT2, a novel training framework designed to align digital twins more effectively with their primary goal of decision support. Traditional virtual models often fail to rank policy options correctly because they prioritize minimizing overall simulation errors rather than focusing on the specific variables that influence outcomes. To solve this, DT2 incorporates an architecture-agnostic ranking loss function that utilizes off-policy evaluation to estimate the value of different actions from existing data. This method essentially distills the predictive power of complex machine learning models into the interpretable structure of a digital twin. Empirical results across various environments demonstrate that DT2 significantly reduces decision regret and improves policy ordering while maintaining high simulation fidelity. Ultimately, the authors argue that for a digital twin to be truly useful, it must prioritize the dynamics critical for human decision-making over being a perfect, context-free replica of reality.
This paper introduces Self-Play Pretraining with Zero Data, a method for training language models using only synthetic data generated by the model itself. In this framework, a generator creates programs for a universal Turing machine while a learner is trained to predict the resulting byte sequences. A reinforcement learning objective drives the generator to produce increasingly complex data at the frontier of the learner's capabilities, creating an adaptive curriculum. This process allows models to discover universal predictive structures, such as mathematical sequences and logical recursion, without exposure to human-authored text. Experiments demonstrate that this tabula rasa approach yields predictable scaling laws and improves performance on diverse real-world tasks. Ultimately, the research suggests that self-generated experience can bootstrap foundational reasoning and in-context learning skills from scratch.








