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The integration of Large Language Models (LLMs) into optimization has created a powerful synergy, opening exciting research opportunities. This paper investigates how LLMs can enhance existing optimization algorithms. Using their…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum

We investigate factorisation at small x using a variety of analytical and numerical techniques. Previous results on factorisation in collinear models are generalised to the case of the full BFKL equation, and illustrated in the example of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni , Dimitri Colferai , Gavin P. Salam

Using the helicity formalism in the high-energy limit, we compute the amplitudes which generate the real next-to-leading-logarithmic corrections to the BFKL equation. Accordingly, we provide a list of all the off-shell vertices necessary to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vittorio Del Duca

We compute the leading clustering (abelian non-global) logarithms, which arise in the distribution of non-global QCD observables when final-state partons are clustered using the $k_t$ jet algorithm, up to six loops in perturbation theory.…

High Energy Physics - Phenomenology · Physics 2025-06-18 K. Khelifa-Kerfa

Several important processes and analyses at the LHC are sensitive to higher-order perturbative corrections beyond what can currently be calculated at fixed order. One important class of logarithmic corrections are those which appear when…

High Energy Physics - Phenomenology · Physics 2022-02-04 Emmet P. Byrne

We present a tendency of large language models (LLMs) to generate absurd patterns despite their clear inappropriateness in a simple task of identifying regularities in number series. Several approaches have been proposed to apply LLMs to…

Computation and Language · Computer Science 2025-10-14 Shin-nosuke Ishikawa , Masato Todo , Taiki Ogihara , Hirotsugu Ohba

Large language models have recently made great strides in reasoning task performance through chain-of-thought (CoT) strategies trained via reinforcement learning; however, these "reasoning large language models" (RLLMs) remain imperfect…

Machine Learning · Computer Science 2025-10-13 Alex Heyman , Joel Zylberberg

Approximate algorithms for structured prediction problems---such as LP relaxations and the popular alpha-expansion algorithm (Boykov et al. 2001)---typically far exceed their theoretical performance guarantees on real-world instances. These…

Machine Learning · Statistics 2018-04-24 Hunter Lang , David Sontag , Aravindan Vijayaraghavan

Large Language Models (LLMs) have demonstrated impressive capabilities across a range of scientific tasks including mathematics, physics, and chemistry. Despite their successes, the effectiveness of LLMs in handling complex statistical…

Computation and Language · Computer Science 2024-10-11 Yizhang Zhu , Shiyin Du , Boyan Li , Yuyu Luo , Nan Tang

Chain-of-thought emerges as a promising technique for eliciting reasoning capabilities from Large Language Models (LLMs). However, it does not always improve task performance or accurately represent reasoning processes, leaving unresolved…

Computation and Language · Computer Science 2024-12-13 Guangsheng Bao , Hongbo Zhang , Cunxiang Wang , Linyi Yang , Yue Zhang

The proliferation of Large Language Models (LLMs) necessitates valid evaluation methods to guide downstream applications and actionable future improvements. The Item Response Theory (IRT) has recently emerged as a promising framework for…

Methodology · Statistics 2025-12-12 Zhiyu Xu , Jia Liu , Yixin Wang , Yuqi Gu

The reasoning abilities of Large Language Models (LLMs) are becoming a central focus of study in NLP. In this paper, we consider the case of syllogistic reasoning, an area of deductive reasoning studied extensively in logic and cognitive…

Computation and Language · Computer Science 2024-10-18 Leonardo Bertolazzi , Albert Gatt , Raffaella Bernardi

Machine learning models for text classification often excel on in-distribution (ID) data but struggle with unseen out-of-distribution (OOD) inputs. Most techniques for improving OOD robustness are not applicable to settings where the model…

Machine Learning · Computer Science 2024-08-06 Kyle O'Brien , Nathan Ng , Isha Puri , Jorge Mendez , Hamid Palangi , Yoon Kim , Marzyeh Ghassemi , Thomas Hartvigsen

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

Large language models (LLMs) demand substantial computational and memory resources, posing challenges for efficient deployment. Two complementary approaches have emerged to address these issues: token-adaptive layer execution, which reduces…

Machine Learning · Computer Science 2026-02-26 Kanghyun Noh , Jinheon Choi , Yulhwa Kim

Multi-round incomplete information tasks are crucial for evaluating the lateral thinking capabilities of large language models (LLMs). Currently, research primarily relies on multiple benchmarks and automated evaluation metrics to assess…

Computation and Language · Computer Science 2025-06-02 Wenhan Dong , Tianyi Hu , Jingyi Zheng , Zhen Sun , Yuemeng Zhao , Yule Liu , Xinlei He , Xinyi Huang

A common approach for teaching large language models (LLMs) to reason is to train on chain-of-thought (CoT) traces of in-distribution reasoning problems, but such annotated data is costly to obtain for every problem of interest. We want…

Computation and Language · Computer Science 2025-05-29 Fangcong Yin , Zeyu Leo Liu , Liu Leqi , Xi Ye , Greg Durrett

While large language models (LLMs) often adopt finetuning to unlock their capabilities for downstream applications, our understanding on the inductive biases (especially the scaling properties) of different finetuning methods is still…

Computation and Language · Computer Science 2024-02-28 Biao Zhang , Zhongtao Liu , Colin Cherry , Orhan Firat

Large language models (LLMs) have shown promise as parametric knowledge bases, but often underperform on question answering (QA) tasks due to hallucinations and uncertainty. While prior work attributes these failures to knowledge gaps in…

Computation and Language · Computer Science 2026-01-29 Xingjian Tao , Yiwei Wang , Yujun Cai , Zhicheng Yang , Jing Tang

Large Language Models (LLMs) have demonstrated potential in predicting mental health outcomes from online text, yet traditional classification methods often lack interpretability and robustness. This study evaluates structured reasoning…

Computation and Language · Computer Science 2026-01-09 Avinash Patil , Amardeep Kour Gedhu
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