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LLM-based formal proof assistants (e.g., in Lean) hold great promise for automating mathematical discovery. But beyond syntactic correctness, do these systems truly understand mathematical structure as humans do? We investigate this…

Artificial Intelligence · Computer Science 2025-10-21 Haoyu Zhao , Yihan Geng , Shange Tang , Yong Lin , Bohan Lyu , Hongzhou Lin , Chi Jin , Sanjeev Arora

Large language models (LLMs) are increasingly used to convert natural language descriptions into mathematical optimization formulations. Current evaluations often treat formulations as a whole, relying on coarse metrics like solution…

Machine Learning · Computer Science 2025-10-21 Dania Refai , Moataz Ahmed

The minimal deterministic finite automaton is generally used to determine regular languages equality. Antimirov and Mosses proposed a rewrite system for deciding regular expressions equivalence of which Almeida et al. presented an improved…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Marco Almeida , Nelma Moreira , Rogério Reis

Embeddings from Visual-Language Models are increasingly utilized to represent semantics in robotic maps, offering an open-vocabulary scene understanding that surpasses traditional, limited labels. Embeddings enable on-demand querying by…

Robotics · Computer Science 2025-10-17 Matti Pekkanen , Francesco Verdoja , Ville Kyrki

Fact-checking techniques can mitigate hallucinations in Large Language Models (LLMs), a prominent issue in specialized domains. As parameter-efficient techniques such as Low-Rank Adaptation (LoRA) can overcome substantial computational…

Computation and Language · Computer Science 2024-10-17 Hyeryun Park , Jeongwon Kwak , Dongsuk Jang , Sumin Park , Jinwook Choi

Human decision-making often involves constrained optimization. As LLM agents are deployed to assist with real-world tasks like travel planning, shopping, and scheduling, they must mirror this capability. We introduce COMPASS, a benchmark…

Quantum optimization holds promise for addressing classically intractable combinatorial problems, yet a standardized framework for benchmarking its performance, particularly in terms of solution quality, computational speed, and scalability…

Quantum Physics · Physics 2025-03-20 Monit Sharma , Hoong Chuin Lau

We consider multicriteria problems of evaluating absolute ratings (scores, priorities, weights) of given alternatives for making decisions, which are compared in pairs under several criteria. Given matrices of pairwise comparisons of…

Optimization and Control · Mathematics 2026-01-27 Nikolai Krivulin

Formal verification is the next frontier for ensuring the correctness of code generated by Large Language Models (LLMs). While methods that co-generate code and formal specifications in formal languages, like Dafny, can, in principle, prove…

Programming Languages · Computer Science 2026-04-21 Lingfei Zeng , Fengdi Che , Xuhan Huang , Fei Ye , Xu Xu , Binhang Yuan , Jie Fu

Human preference data is essential for aligning large language models (LLMs) with human values, but collecting such data is often costly and inefficient-motivating the need for efficient data selection methods that reduce annotation costs…

Computation and Language · Computer Science 2026-04-21 Seohyeong Lee , Eunwon Kim , Hwaran Lee , Buru Chang

Analogical reasoning tests a fundamental aspect of human cognition: mapping the relation from one pair of objects to another. Existing evaluations of this ability in multimodal large language models (MLLMs) overlook the ability to compose…

Artificial Intelligence · Computer Science 2026-03-31 Yongkang Du , Xiaohan Zou , Minhao Cheng , Lu Lin

Benchmarking the performance of quantum optimization algorithms is crucial for identifying utility for industry-relevant use cases. Benchmarking processes vary between optimization applications and depend on user-specified goals. The…

In ranking problems, the goal is to learn a ranking function from labeled pairs of input points. In this paper, we consider the related comparison problem, where the label indicates which element of the pair is better, or if there is no…

Machine Learning · Statistics 2020-07-27 David Venuto , Toby Dylan Hocking , Lakjaree Sphanurattana , Masashi Sugiyama

In recent years, the field of artificial intelligence has undergone a paradigm shift from task-specific small-scale models to general-purpose large language models (LLMs). With the rapid iteration of LLMs, objective, quantitative, and…

Optimizing an experimental system can be extremely challenging when each experiment is expensive, time-consuming, or difficult to perform. Existing optimizers for expensive black-box problems, such as Bayesian optimization, are typically…

High-definition map transformations are essential in autonomous driving systems, enabling interoperability across tools. Ensuring their semantic correctness is challenging, since existing rule-based frameworks rely on manually written…

Software Engineering · Computer Science 2026-05-05 Ruidi He , Yu Zhang , Meng Zhang , Andreas Rausch

We propose LangProp, a framework for iteratively optimizing code generated by large language models (LLMs), in both supervised and reinforcement learning settings. While LLMs can generate sensible coding solutions zero-shot, they are often…

Software Engineering · Computer Science 2024-05-06 Shu Ishida , Gianluca Corrado , George Fedoseev , Hudson Yeo , Lloyd Russell , Jamie Shotton , João F. Henriques , Anthony Hu

Recent progress in LLMs, such as reasoning models, has demonstrated strong abilities to solve complex competitive programming problems, often rivaling top human competitors. However, it remains underexplored whether these abilities…

Computation and Language · Computer Science 2025-07-22 Jierui Li , Raymond Mooney

The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their properties. In this paper, we present algorithms for…

Discrete Mathematics · Computer Science 2022-02-07 Iliya Bouyukliev , Stefka Bouyuklieva

Recent advancements in large language models (LLMs) on language modeling and emergent capabilities make them a promising reference-free evaluator of natural language generation quality, and a competent alternative to human evaluation.…

Computation and Language · Computer Science 2023-09-26 Yuxuan Liu , Tianchi Yang , Shaohan Huang , Zihan Zhang , Haizhen Huang , Furu Wei , Weiwei Deng , Feng Sun , Qi Zhang