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Transformers, as the fundamental deep learning architecture, have demonstrated great capability in reasoning. This paper studies the generalizable first-order logical reasoning ability of transformers with their parameterized knowledge and…

Computation and Language · Computer Science 2025-07-11 Tianshi Zheng , Jiazheng Wang , Zihao Wang , Jiaxin Bai , Hang Yin , Zheye Deng , Yangqiu Song , Jianxin Li

We study possible advantages of randomized and quantum computing over deterministic computing for scalar initial-value problems for ordinary differential equations of order k. For systems of equations of the first order this question has…

Quantum Physics · Physics 2007-05-23 Marek Szczesny

We study the similarity search problem which aims to find the similar query results according to a set of given data and a query string. To balance the result number and result quality, we combine query result diversity with query…

Databases · Computer Science 2017-02-24 Ruoxi Shi , Hongzhi Wang , Tao Wang , Yutai Hou , Yiwen Tang

Exactly solving first-order constraints (i.e., first-order formulas over a certain predefined structure) can be a very hard, or even undecidable problem. In continuous structures like the real numbers it is promising to compute approximate…

Logic in Computer Science · Computer Science 2007-05-23 Stefan Ratschan

We study the problem of fine-tuning a language model (LM) for a target task by optimally using the information from $n$ auxiliary tasks. This problem has broad applications in NLP, such as targeted instruction tuning and data selection in…

Computation and Language · Computer Science 2025-06-03 Dongyue Li , Ziniu Zhang , Lu Wang , Hongyang R. Zhang

Goal recognition aims at predicting human intentions from a trace of observations. This ability allows people or organizations to anticipate future actions and intervene in a positive (collaborative) or negative (adversarial) way. Goal…

Artificial Intelligence · Computer Science 2020-11-04 Daniel Borrajo , Sriram Gopalakrishnan , Vamsi K. Potluru

We propose \textit{Meta-Regularization}, a novel approach for the adaptive choice of the learning rate in first-order gradient descent methods. Our approach modifies the objective function by adding a regularization term on the learning…

Machine Learning · Computer Science 2021-04-13 Guangzeng Xie , Hao Jin , Dachao Lin , Zhihua Zhang

Recent work has shown that asking language models to generate reasoning steps improves performance on many reasoning tasks. When moving beyond prompting, this raises the question of how we should supervise such models: outcome-based…

Learning new tasks by drawing on prior experience gathered from other (related) tasks is a core property of any intelligent system. Gradient-based meta-learning, especially MAML and its variants, has emerged as a viable solution to…

Machine Learning · Computer Science 2024-09-06 El Mahdi Chayti , Martin Jaggi

In this paper, we formulate a top-k query that compares objects in a database to a user-provided query object on a novel scoring function. The proposed scoring function combines the idea of attractive and repulsive dimensions into a general…

Databases · Computer Science 2011-12-01 Sayan Ranu , Ambuj K. Singh

Finding interesting patterns is a challenging task in data mining. Constraint based mining is a well-known approach to this, and one for which constraint programming has been shown to be a well-suited and generic framework. Dominance…

Artificial Intelligence · Computer Science 2019-10-02 Gökberk Koçak , Özgür Akgün , Tias Guns , Ian Miguel

The filtering-clustering models, including trend filtering and convex clustering, have become an important source of ideas and modeling tools in machine learning and related fields. The statistical guarantee of optimal solutions in these…

Machine Learning · Statistics 2022-01-26 Nhat Ho , Tianyi Lin , Michael I. Jordan

We address the problem of efficiently evaluating target functional dependencies (fds) in the Data Exchange (DE) process. Target fds naturally occur in many DE scenarios, including the ones in Life Sciences in which multiple source relations…

Databases · Computer Science 2016-04-19 Angela Bonifati , Ioana Ileana , Michele Linardi

This paper present several refinements of the Datalog +/- framework based on resolution and Datalog-rewriting. We first present a resolution algorithm which is complete for arbitrary sets of tgds and egds. We then show that a technique of…

Databases · Computer Science 2012-12-04 Bruno Marnette

Reasoning tasks are crucial in many domains, especially in science and engineering. Although large language models (LLMs) have made progress in reasoning tasks using techniques such as chain-of-thought and least-to-most prompting, these…

Artificial Intelligence · Computer Science 2025-05-06 Sergio Hernández-Gutiérrez , Minttu Alakuijala , Alexander V. Nikitin , Pekka Marttinen

First-order model counting emerged recently as a novel reasoning task, at the core of efficient algorithms for probabilistic logics. We present a Skolemization algorithm for model counting problems that eliminates existential quantifiers…

Artificial Intelligence · Computer Science 2014-03-06 Guy Van den Broeck , Wannes Meert , Adnan Darwiche

This paper investigates the limitations of transformers for entity-tracking tasks in large language models. We identify a theoretical constraint, showing that transformers require at least $\log_2 (n+1)$ layers to handle entity tracking…

Machine Learning · Computer Science 2024-12-12 Erwan Fagnou , Paul Caillon , Blaise Delattre , Alexandre Allauzen

Conversational query reformulation (CQR) has become indispensable for improving retrieval in dialogue-based applications. However, existing approaches typically rely on reference passages for optimization, which are impractical to acquire…

Computation and Language · Computer Science 2025-10-14 Doyoung Kim , Youngjun Lee , Joeun Kim , Jihwan Bang , Hwanjun Song , Susik Yoon , Jae-Gil Lee

The structure of causal language model training assumes that each token can be accurately predicted from the previous context. This contrasts with humans' natural writing and reasoning process, where goals are typically known before the…

Machine Learning · Computer Science 2025-04-25 Abitha Thankaraj , Yiding Jiang , J. Zico Kolter , Yonatan Bisk

Pairwise dot product-based attention allows Transformers to exchange information between tokens in an input-dependent way, and is key to their success across diverse applications in language and vision. However, a typical Transformer model…