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We propose an online training procedure for a transformer-based automated theorem prover. Our approach leverages a new search algorithm, HyperTree Proof Search (HTPS), inspired by the recent success of AlphaZero. Our model learns from…

In e-commerce, the watchlist enables users to track items over time and has emerged as a primary feature, playing an important role in users' shopping journey. Watchlist items typically have multiple attributes whose values may change over…

Information Retrieval · Computer Science 2021-10-26 Uriel Singer , Haggai Roitman , Yotam Eshel , Alexander Nus , Ido Guy , Or Levi , Idan Hasson , Eliyahu Kiperwasser

One way to increase confidence in the outputs of Large Language Models (LLMs) is to support them with reasoning that is clear and easy to check -- a property we call legibility. We study legibility in the context of solving grade-school…

Computation and Language · Computer Science 2024-08-02 Jan Hendrik Kirchner , Yining Chen , Harri Edwards , Jan Leike , Nat McAleese , Yuri Burda

A widely used defense practice against malicious traffic on the Internet is through blacklists: lists of prolific attack sources are compiled and shared. The goal of blacklists is to predict and block future attack sources. Existing…

Networking and Internet Architecture · Computer Science 2009-08-17 Fabio Soldo , Anh Le , Athina Markopoulou

As with most Machine Learning systems, recommender systems are typically evaluated through performance metrics computed over held-out data points. However, real-world behavior is undoubtedly nuanced: ad hoc error analysis and…

Information Retrieval · Computer Science 2022-03-29 Patrick John Chia , Jacopo Tagliabue , Federico Bianchi , Chloe He , Brian Ko

Shortlisting is the task of reducing a long list of alternatives to a (smaller) set of best or most suitable alternatives. Shortlisting is often used in the nomination process of awards or in recommender systems to display featured objects.…

Computer Science and Game Theory · Computer Science 2022-11-22 Martin Lackner , Jan Maly

We introduce EvoLib, a test-time learning framework that enables large language models to accumulate, reuse, and evolve knowledge across problem instances without parameter updates or external supervision. Instead of adapting model…

Machine Learning · Computer Science 2026-05-15 Weijia Xu , Alessandro Sordoni , Chandan Singh , Zelalem Gero , Michel Galley , Xingdi Yuan , Jianfeng Gao

Large Language Models (LLMs) are transforming how people find information, and many users turn nowadays to chatbots to obtain answers to their questions. Despite the instant access to abundant information that LLMs offer, it is still…

Computation and Language · Computer Science 2025-02-04 Jamshid Mozafari , Bhawna Piryani , Abdelrahman Abdallah , Adam Jatowt

We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

Data Structures and Algorithms · Computer Science 2023-11-03 Xingjian Bai , Christian Coester

We present a novel approach to template matching that is efficient, can handle partial occlusions, and comes with provable performance guarantees. A key component of the method is a reduction that transforms the problem of searching a…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Simon Korman , Mark Milam , Stefano Soatto

Large Language Models (LLMs) have demonstrated significant promise in formal theorem proving. In this study, we investigate the ability of LLMs to discover novel theorems and produce verified proofs. We propose a pipeline called…

Machine Learning · Computer Science 2026-05-07 Kazumi Kasaura , Naoto Onda , Yuta Oriike , Masaya Taniguchi , Akiyoshi Sannai , Sho Sonoda

Theorem proving is a fundamental task in mathematics. With the advent of large language models (LLMs) and interactive theorem provers (ITPs) like Lean, there has been growing interest in integrating LLMs and ITPs to automate theorem…

Artificial Intelligence · Computer Science 2024-02-16 Rahul Vishwakarma , Subhankar Mishra

AI-assisted research compresses ideation, implementation, evaluation, and manuscript writing into a single interactive loop. This compression is useful, but it also creates a publication risk: paper claims can become easier to state than to…

Artificial Intelligence · Computer Science 2026-05-28 Yihan Xia , Taotao Wang

We study the proof theory and algorithms for orthologic, a logical system based on ortholattices, which have shown practical relevance in simplification and normalization of verification conditions. Ortholattices weaken Boolean algebras…

Logic in Computer Science · Computer Science 2023-12-08 Simon Guilloud , Viktor Kuncak

The increasing difficulty to distinguish language-model-generated from human-written text has led to the development of detectors of machine-generated text (MGT). However, in many contexts, a black-box prediction is not sufficient, it is…

Machine Learning · Computer Science 2026-01-21 Loris Schoenegger , Yuxi Xia , Benjamin Roth

The importance of patents is well recognised across many regions of the world. Many patent mining systems have been proposed, but with limited predictive capabilities. In this demo, we showcase how predictive algorithms leveraging the…

Digital Libraries · Computer Science 2019-11-01 Nebula Alam , Khoi-Nguyen Tran , Sue Ann Chen , John Wagner , Josh Andres , Mukesh Mohania

This survey paper provides a comprehensive analysis of big data algorithms in recommendation systems, addressing the lack of depth and precision in existing literature. It proposes a two-pronged approach: a thorough analysis of current…

Information Retrieval · Computer Science 2024-02-07 Kamal Taha , Paul D. Yoo , Aya Taha

This paper reports on an exploration of Boolos' Curious Inference, using higher-order automated theorem provers (ATPs). Surprisingly, only suitable shorthand notations had to be provided by hand for ATPs to find a short proof. The…

We introduce a new deterministic factoring algorithm, which could be described in the cryptographically fashionable term of "factoring with hints": we show that, given the knowledge of the factorisations of $O(N^{1/3+\epsilon})$ terms…

Number Theory · Mathematics 2017-08-09 Francesco Sica

The algebraic zigzag construction has recently been introduced as a combinatorial foundation for a higher dimensional notion of string diagram. For use in a proof assistant, a layout algorithm is required to determine the optimal rendering…

Category Theory · Mathematics 2024-02-21 Calin Tataru , Jamie Vicary