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In this article, we tackle the math word problem, namely, automatically answering a mathematical problem according to its textual description. Although recent methods have demonstrated their promising results, most of these methods are…

Computation and Language · Computer Science 2021-09-28 Shifeng Huang , Jiawei Wang , Jiao Xu , Da Cao , Ming Yang

How to design automated procedures which (i) accurately assess the knowledge of a student, and (ii) efficiently provide advices for further study? To produce well-founded answers, Knowledge Space Theory relies on a combinatorial viewpoint…

Combinatorics · Mathematics 2015-11-24 Jean-Paul Doignon , Jean-Claude Falmagne

This paper introduces the memory by Association and Reinforcement of Contexts (mARC). mARC is a novel data modeling technology rooted in the second quantization formulation of quantum mechanics. It is an all-purpose incremental and…

Information Retrieval · Computer Science 2013-12-11 Norbert Rimoux , Patrice Descourt

In this paper, we propose a continual learning (CL) technique that is beneficial to sequential task learners by improving their retained accuracy and reducing catastrophic forgetting. The principal target of our approach is the automatic…

Machine Learning · Computer Science 2021-01-19 Ammar Shaker , Shujian Yu , Francesco Alesiani

Most research on lifelong learning applies to images or games, but not language. We present LAMOL, a simple yet effective method for lifelong language learning (LLL) based on language modeling. LAMOL replays pseudo-samples of previous tasks…

Computation and Language · Computer Science 2019-12-24 Fan-Keng Sun , Cheng-Hao Ho , Hung-Yi Lee

In recent years, the creation of block-structured dictionary has attracted a lot of interest. Learning such dictionaries involve two step process: block formation and dictionary update. Both these steps are important in producing an…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Nagendra Kumar , Rohit Sinha

Graph Contrastive Learning frameworks have demonstrated success in generating high-quality node representations. The existing research on efficient data augmentation methods and ideal pretext tasks for graph contrastive learning remains…

Machine Learning · Computer Science 2024-10-22 Zhenyu Lin , Hongzheng Li , Yingxia Shao , Guanhua Ye , Yawen Li , Quanqing Xu

We define a lazy pattern-matching mechanism modulo associativity and commutativity. The solutions of a pattern-matching problem are stored in a lazy list composed of a first substitution at the head and a non-evaluated object that encodes…

Logic in Computer Science · Computer Science 2012-04-26 Walid Belkhir , Alain Giorgetti

A major problem with Active Learning (AL) is high training costs since models are typically retrained from scratch after every query round. We start by demonstrating that standard AL on neural networks with warm starting fails, both to…

Machine Learning · Computer Science 2023-12-14 Arnav Das , Gantavya Bhatt , Megh Bhalerao , Vianne Gao , Rui Yang , Jeff Bilmes

Due to the rapid generation and dissemination of information, large language models (LLMs) quickly run out of date despite enormous development costs. To address the crucial need to keep models updated, online learning has emerged as a…

Machine Learning · Computer Science 2024-11-05 Jihoon Tack , Jaehyung Kim , Eric Mitchell , Jinwoo Shin , Yee Whye Teh , Jonathan Richard Schwarz

Memorization is a fundamental ability of Transformer-based Large Language Models, achieved through learning. In this paper, we propose a paradigm shift by designing an architecture to memorize text directly, bearing in mind the principle…

We describe the algorithms used by the ALEKS computer learning system for manipulating combinatorial descriptions of human learners' states of knowledge, generating all states that are possible according to a description of a learning space…

Discrete Mathematics · Computer Science 2008-03-31 David Eppstein

Memorization in language models is typically treated as a homogenous phenomenon, neglecting the specifics of the memorized data. We instead model memorization as the effect of a set of complex factors that describe each sample and relate it…

Memory emerges as the core module in the large language model (LLM)-based agents for long-horizon complex tasks (e.g., multi-turn dialogue, game playing, scientific discovery), where memory can enable knowledge accumulation, iterative…

Computation and Language · Computer Science 2026-05-04 Yanchen Wu , Tenghui Lin , Yingli Zhou , Fangyuan Zhang , Qintian Guo , Xun Zhou , Sibo Wang , Xilin Liu , Yuchi Ma , Yixiang Fang

Large Language Models (LLMs) exhibit impressive results across a wide range of natural language processing (NLP) tasks, yet they can often produce factually incorrect outputs. This paper introduces a simple but effective low-latency…

Computation and Language · Computer Science 2024-10-22 Changmao Li , Jeffrey Flanigan

We are often interested in decomposing complex, structured data into simple components that explain the data. The linear version of this problem is well-studied as dictionary learning and factor analysis. In this work, we propose a…

Machine Learning · Computer Science 2024-07-29 Avrim Blum , Kavya Ravichandran

A fundamental requirement for intelligent systems is the ability to learn continuously under changing environments. However, models trained in this regime often suffer from catastrophic forgetting. Leveraging pre-trained models has recently…

Artificial Intelligence · Computer Science 2026-03-12 Tung Tran , Danilo Vasconcellos Vargas , Khoat Than

Recently, self-supervised learning methods based on masked latent prediction have proven to encode input data into powerful representations. However, during training, the learned latent space can be further transformed to extract…

Sound · Computer Science 2025-06-05 Aurian Quelennec , Pierre Chouteau , Geoffroy Peeters , Slim Essid

Two general methods for establishing the logarithmic behavior of recursively defined sequences of real numbers are presented. One is the interlacing method, and the other one is based on calculus. Both methods are used to prove logarithmic…

Combinatorics · Mathematics 2007-05-23 Tomislav Došlić , Darko Veljan

This material is a rewriting and expansion of notes for beginning graduate students in seminars in combinatorics (Department of Mathematics, University of California San Diego). Solid skills in linear and multilinear algebra were required…

History and Overview · Mathematics 2014-07-22 S. Gill Williamson
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