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Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. However, it has a worst case complexity doubly exponential in…

Symbolic Computation · Computer Science 2019-11-25 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson

We propose \textbf{Cognitive Load Traces} (CLTs) as a mid-level interpretability framework for deep models, inspired by Cognitive Load Theory in human cognition. CLTs are defined as symbolic, temporally varying functions that quantify…

Artificial Intelligence · Computer Science 2025-10-21 Dong Liu , Yanxuan Yu

The primary focus of recent work with largescale transformers has been on optimizing the amount of information packed into the model's parameters. In this work, we ask a different question: Can multimodal transformers leverage explicit…

Computation and Language · Computer Science 2022-05-06 Liangke Gui , Borui Wang , Qiuyuan Huang , Alex Hauptmann , Yonatan Bisk , Jianfeng Gao

How much knowledge do pretrained language models hold? Recent research observed that pretrained transformers are adept at modeling semantics but it is unclear to what degree they grasp human knowledge, or how to ensure they do so. In this…

Computation and Language · Computer Science 2021-02-05 Corby Rosset , Chenyan Xiong , Minh Phan , Xia Song , Paul Bennett , Saurabh Tiwary

In recent years there has been increased use of machine learning (ML) techniques within mathematics, including symbolic computation where it may be applied safely to optimise or select algorithms. This paper explores whether using…

Symbolic Computation · Computer Science 2024-01-31 Lynn Pickering , Tereso Del Rio Almajano , Matthew England , Kelly Cohen

Symbolic regression is the task of identifying a mathematical expression that best fits a provided dataset of input and output values. Due to the richness of the space of mathematical expressions, symbolic regression is generally a…

Machine Learning · Computer Science 2021-06-29 Mojtaba Valipour , Bowen You , Maysum Panju , Ali Ghodsi

Transformer models have continuously expanded into all machine learning domains convertible to the underlying sequence-to-sequence representation, including tabular data. However, while ubiquitous, this representation restricts their…

Machine Learning · Computer Science 2025-07-24 Jakub Peleška , Gustav Šír

Lample and Charton (2019) describe a system that uses deep learning technology to compute symbolic, indefinite integrals, and to find symbolic solutions to first- and second-order ordinary differential equations, when the solutions are…

Machine Learning · Computer Science 2019-12-17 Ernest Davis

Quantitative and numerical comprehension in language is an important task in many fields like education and finance, but still remains a challenging task for language models. While tool and calculator usage has shown to be helpful to…

Computation and Language · Computer Science 2024-06-27 Vishruth Veerendranath , Vishwa Shah , Kshitish Ghate

Pool-based sampling in active learning (AL) represents a key framework for an-notating informative data when dealing with deep learning models. In this paper, we present a novel pipeline for pool-based Active Learning. Unlike most previous…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Razvan Caramalau , Binod Bhattarai , Tae-Kyun Kim

The Geometric Algebra Transformer (GATr) is a versatile architecture for geometric deep learning based on projective geometric algebra. We generalize this architecture into a blueprint that allows one to construct a scalable transformer…

Machine Learning · Computer Science 2024-03-15 Pim de Haan , Taco Cohen , Johann Brehmer

Pre-trained and fine-tuned transformer models like BERT and T5 have improved the state of the art in ad-hoc retrieval and question-answering, but not as yet in high-recall information retrieval, where the objective is to retrieve…

Information Retrieval · Computer Science 2022-08-16 Nima Sadri , Gordon V. Cormack

Recent studies have discovered that Chain-of-Thought prompting (CoT) can dramatically improve the performance of Large Language Models (LLMs), particularly when dealing with complex tasks involving mathematics or reasoning. Despite the…

Machine Learning · Computer Science 2023-12-27 Guhao Feng , Bohang Zhang , Yuntian Gu , Haotian Ye , Di He , Liwei Wang

Mathematical reasoning is one of the most impressive achievements of human intellect but remains a formidable challenge for artificial intelligence systems. In this work we explore whether modern deep learning architectures can learn to…

Machine Learning · Computer Science 2022-07-07 Samuel Cognolato , Alberto Testolin

Over the last decades, deep neural networks based-models became the dominant paradigm in machine learning. Further, the use of artificial neural networks in symbolic learning has been seen as increasingly relevant recently. To study the…

Machine Learning · Computer Science 2025-06-03 João Flach , Alvaro F. Moreira , Luis C. Lamb

We introduce Boolformer, a Transformer-based model trained to perform end-to-end symbolic regression of Boolean functions. First, we show that it can predict compact formulas for complex functions not seen during training, given their full…

Machine Learning · Computer Science 2025-07-18 Stéphane d'Ascoli , Arthur Renard , Vassilis Papadopoulos , Samy Bengio , Josh Susskind , Emmanuel Abbé

We introduce ALT, an open-source Python package created for efficient and accurate time series classification (TSC). The package implements the adaptive law-based transformation (ALT) algorithm, which transforms raw time series data into a…

Machine Learning · Computer Science 2026-02-06 Balázs P. Halmos , Balázs Hajós , Vince Á. Molnár , Marcell T. Kurbucz , Antal Jakovác

Along with the proliferation of digital data collected using sensor technologies and a boost of computing power, Deep Learning (DL) based approaches have drawn enormous attention in the past decade due to their impressive performance in…

Machine Learning · Computer Science 2022-03-15 Tong Owen Yang

The transformer architecture has catalyzed revolutionary advances in language modeling. However, recent architectural recipes, such as state-space models, have bridged the performance gap. Motivated by this, we examine the benefits of…

Machine Learning · Computer Science 2024-07-09 Mingchen Li , Xuechen Zhang , Yixiao Huang , Samet Oymak

In-context learning (ICL) has emerged as a powerful capability of transformer-based language models, enabling them to perform tasks by conditioning on a small number of examples presented at inference time, without any parameter updates.…

Machine Learning · Computer Science 2025-08-15 Jathin Korrapati , Patrick Mendoza , Aditya Tomar , Abein Abraham