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This research paper introduces Energy-Based Fine-Tuning (EBFT), a novel method for refining language models by matching feature statistics of generated text with ground-truth data. Traditional training relies on next-token prediction, which often causes models to drift or fail during long sequences because they lack global distributional calibration. By optimizing a feature-matching objective using a frozen feature network, EBFT provides dense semantic feedback at the sequence level without requiring a manual reward function. Experimental results across coding and translation show that EBFT outperforms standard supervised fine-tuning and equals reinforcement learning in accuracy. Furthermore, it achieves superior validation cross-entropy, proving that aligning feature moments effectively stabilizes model behavior and preserves high-quality language modeling.
This research introduces the concept of Neural Thickets, describing a phenomenon where large pretrained models are surrounded by a high density of diverse, task-specific solutions in their local weight space. While small models require structured optimization like gradient descent to find improvements, larger models transition into a regime where random weight perturbations frequently yield "expert" versions of the model. The authors exploit this discovery through RandOpt, a parallel post-training method that samples random weight changes, selects the best performers, and ensembles their predictions. Their findings show that these random experts are specialists rather than generalists, often excelling at one task while declining in others, which makes ensembling via majority vote highly effective. This approach proves competitive with standard reinforcement learning methods like PPO and GRPO, especially as model scale increases. Ultimately, the study suggests that sufficient pretraining fundamentally reshapes the loss landscape, making complex downstream adaptation possible through simple parallel search and selection.
This paper introduces AdaEvolve, a novel framework designed to enhance how Large Language Models (LLMs) solve complex optimization and programming tasks through evolutionary search. Unlike existing methods that use rigid, pre-set schedules, this system implements hierarchical adaptivity to manage computational resources and search strategies dynamically. It operates across three levels: local adaptation to adjust exploration intensity, global adaptation to allocate the budget toward promising solution populations, and meta-guidance to generate new tactics when progress stalls. This approach mimics the efficiency of adaptive gradient methods used in continuous optimization but applies it to discrete, zero-th order problems. Experimental results across 185 benchmarks show that AdaEvolve consistently outperforms standard baselines and human-designed solutions in areas like combinatorial geometry and systems optimization. By replacing brittle manual tuning with a unified improvement signal, the framework demonstrates a more robust and autonomous path for AI-driven discovery.
This paper introduces ∇-Reasoner, a novel framework that improves Large Language Model (LLM) reasoning by applying gradient-based optimization during the inference process. Unlike traditional methods that rely on random sampling or discrete searches, this approach uses Differentiable Textual Optimization (DTO) to refine token logits through first-order gradients derived from reward models and likelihood signals. By iteratively updating textual representations in latent space, the system allows for bidirectional information flow, enabling the model to correct its reasoning chains on the fly. To ensure efficiency, the framework incorporates gradient caching and rejection sampling, which reduce the computational burden typically associated with backpropagation. Empirical results demonstrate that $\nabla$-Reasoner significantly boosts accuracy on complex mathematical benchmarks while requiring fewer model calls than existing search-based baselines. Ultimately, the research establishes a theoretical and practical shift toward treating test-time reasoning as a continuous optimization problem rather than a simple stochastic generation task.
This research investigates how using artificial intelligence (AI) or machine learning (ML) to generate variables for economic regressions can lead to biased estimates and invalid statistical inference. While researchers often treat AI-generated outputs as standard data, the authors demonstrate that measurement error in these variables—even from high-performance algorithms—shifts the centering of confidence intervals, making them unreliable. To address these distortions, the paper introduces two practical solutions: a mathematical bias correction that does not require ground-truth validation data and a joint estimation framework that models the latent variables and regression parameters simultaneously. The effectiveness of these methods is illustrated through diverse applications, including job posting classifications, CEO time-use analysis, and central bank sentiment indexing. Ultimately, the study provides a robust toolkit for economists to maintain statistical integrity when integrating modern computational tools into empirical research.
This paper introduces Attention Matching (AM), a novel framework for fast and efficient key-value (KV) cache compaction in long-context language models. As models process longer sequences, the memory required for the KV cache becomes a major bottleneck, often necessitating lossy strategies like summarization or token eviction. The researchers propose optimizing compact keys and values to reproduce the original model's attention outputs and attention mass across every layer. This method achieves up to 50× compaction in seconds, significantly outperforming traditional token-dropping baselines and matching the quality of expensive gradient-based optimization. By incorporating nonuniform head budgets and scalar attention biases, AM maintains high downstream accuracy on complex reasoning tasks while remaining compatible with existing inference engines. Their findings suggest that latent-space compaction is a powerful primitive for managing the memory demands of modern generative AI.
This position paper argues against the anthropomorphization of intermediate tokens in large language models, commonly referred to as "reasoning traces" or "chains of thought." The authors contend that these outputs are not genuine reflections of human-like thinking but are instead statistically generated patterns that may lack semantic validity. Research indicates that model performance can improve even when these traces are factually incorrect or nonsensical, suggesting that the connection between a trace and the final answer is often tenuous. Consequently, viewing these tokens as an interpretable window into a model’s logic can lead to a dangerous overestimation of its reliability. The authors call on the scientific community to move away from human-centric metaphors and focus on external verification of solutions. By treating intermediate tokens as a computational tool for the model rather than an explanation for the user, researchers can pursue more effective and honest AI development.
Researchers at Google DeepMind introduced Code World Models (CWM), a framework that uses Large Language Models to translate natural language game rules and player trajectories into executable Python code. Unlike traditional methods that use LLMs as direct move-generating policies, this approach treats the model as a verifiable simulation engine capable of defining state transitions and legal actions. The generated code serves as a foundation for high-performance planning algorithms like Monte Carlo tree search (MCTS), which provides significantly greater strategic depth. The framework also synthesizes inference functions to estimate hidden states in imperfect information games and heuristic value functions to optimize search efficiency. Evaluated across ten diverse games, the CWM agent consistently matched or outperformed Gemini 2.5 Pro, demonstrating superior generalization on novel, out-of-distribution games. This shift from "intuitive" play to System 2 deliberation allows the agent to maintain formal rule adherence while scaling performance with increased computational power.
This research paper explores how Chain of Thought (CoT) prompting enables transformers to solve complex mathematical problems by mimicking iterative optimization techniques. The authors demonstrate that while standard models are limited to a single stage of calculation, using intermediate reasoning steps allows a transformer to execute multi-step gradient descent internally. Through the lens of linear regression tasks, the study proves that this autoregressive process leads to a near-perfect recovery of underlying data patterns that simpler models cannot capture. Furthermore, the findings indicate that looped architectures and CoT significantly boost the ability of these models to generalize to new information. Ultimately, the work provides a formal theoretical framework to explain why breaking down problems into smaller parts enhances the algorithmic power of large language models.
This paper explores how task descriptors, such as a mean value $\mu$, improve in-context learning (ICL) for linear regression within Transformer models. By examining a one-layer linear self-attention (LSA) network, the researchers demonstrate that models can effectively utilize these descriptors to standardize input data and reduce prediction errors. The paper provides a mathematical proof that gradient flow training converges to a global minimum, allowing the Transformer to simulate an optimized version of gradient descent. Through various experiments, the authors confirm that adding task information leads to superior performance compared to models without such context. Furthermore, the study reveals that while large sample sizes simplify the model's strategy, finite sample settings require the Transformer to develop more complex internal representations to manage bias and variance. These findings provide a theoretical foundation for the empirical success of prompts and instructions in large language models.
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