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Constraint programming (CP) is a powerful tool for modeling mathematical concepts and objects and finding both solutions or counter examples. One of the major strengths of CP is that problems can easily be combined or expanded. In this…

Discrete Mathematics · Computer Science 2025-01-29 Ruth Hoffmann , Özgür Akgün , Christopher Jefferson

In this work, we propose Adversarial Complementary Learning (ACoL) to automatically localize integral objects of semantic interest with weak supervision. We first mathematically prove that class localization maps can be obtained by directly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Xiaolin Zhang , Yunchao Wei , Jiashi Feng , Yi Yang , Thomas Huang

Mathematical reasoning recently has been shown as a hard challenge for neural systems. Abilities including expression translation, logical reasoning, and mathematics knowledge acquiring appear to be essential to overcome the challenge. This…

Machine Learning · Computer Science 2022-03-29 Yangyang Hu , Yang Yu

Sampling is a fundamental technique, and sampling without replacement is often desirable when duplicate samples are not beneficial. Within machine learning, sampling is useful for generating diverse outputs from a trained model. We present…

Machine Learning · Computer Science 2021-07-21 Kensen Shi , David Bieber , Charles Sutton

Using polynomial equations to model combinatorial problems has been a popular tool both in computational combinatorics as well as an approach to proving new theorems. In this paper, we look at several combinatorics problems modeled by…

Combinatorics · Mathematics 2016-07-19 Bart Sevenster , Jacob Turner

In recent years, the combinatorial properties of monomials ideals and binomial ideals have been widely studied. In particular, combinatorial interpretations of free resolution algorithms have been given in both cases. In this present work,…

Commutative Algebra · Mathematics 2014-10-06 Trevor McGuire

Large pretrained language models (LMs) have shown impressive In-Context Learning (ICL) ability, where the model learns to do an unseen task via a prompt consisting of input-output examples as the demonstration, without any parameter…

Computation and Language · Computer Science 2023-06-21 Jiacheng Ye , Zhiyong Wu , Jiangtao Feng , Tao Yu , Lingpeng Kong

Dealing with structured data needs the use of expressive representation formalisms that, however, puts the problem to deal with the computational complexity of the machine learning process. Furthermore, real world domains require tools able…

Machine Learning · Computer Science 2013-11-18 Nicola Di Mauro , Floriana Esposito

Object compositing based on 2D images is a challenging problem since it typically involves multiple processing stages such as color harmonization, geometry correction and shadow generation to generate realistic results. Furthermore,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Yizhi Song , Zhifei Zhang , Zhe Lin , Scott Cohen , Brian Price , Jianming Zhang , Soo Ye Kim , Daniel Aliaga

We present PyXtal, a new package based on the Python programming language, used to generate structures with specific symmetry and chemical compositions for both atomic and molecular systems. This soft ware provides support for various…

Materials Science · Physics 2021-10-05 Scott Fredericks , Kevin Parrish , Dean Sayre , Qiang Zhu

Using in-context learning (ICL) for data generation, techniques such as Self-Instruct (Wang et al., 2023) or the follow-up Alpaca (Taori et al., 2023) can train strong conversational agents with only a small amount of human supervision. One…

Many machine learning algorithms represent input data with vector embeddings or discrete codes. When inputs exhibit compositional structure (e.g. objects built from parts or procedures from subroutines), it is natural to ask whether this…

Machine Learning · Computer Science 2019-04-09 Jacob Andreas

Bootstrap Your Own Latent (BYOL) is a self-supervised learning approach for image representation. From an augmented view of an image, BYOL trains an online network to predict a target network representation of a different augmented view of…

Large language models (LLMs) demonstrate exceptional instruct-following ability to complete various downstream tasks. Although this impressive ability makes LLMs flexible task solvers, their performance in solving tasks also heavily relies…

Computation and Language · Computer Science 2024-06-03 Pengwei Zhan , Zhen Xu , Qian Tan , Jie Song , Ru Xie

The World Wide Web Consortium (W3C) has published several recommendations for building and storing ontologies, including the most recent OWL 2 Web Ontology Language (OWL). These initiatives have been followed by practical implementations…

Artificial Intelligence · Computer Science 2019-10-24 Yingbing Hua , Björn Hein

This paper introduces anomalib, a novel library for unsupervised anomaly detection and localization. With reproducibility and modularity in mind, this open-source library provides algorithms from the literature and a set of tools to design…

Computer Vision and Pattern Recognition · Computer Science 2022-02-18 Samet Akcay , Dick Ameln , Ashwin Vaidya , Barath Lakshmanan , Nilesh Ahuja , Utku Genc

Conformal prediction is an assumption-lean approach to generating distribution-free prediction intervals or sets, for nearly arbitrary predictive models, with guaranteed finite-sample coverage. Conformal methods are an active research topic…

Methodology · Statistics 2024-01-19 Jerzy Wieczorek

Practical data assimilation algorithms often contain hyper-parameters, which may arise due to, for instance, the use of certain auxiliary techniques like covariance inflation and localization in an ensemble Kalman filter, the…

Computation · Statistics 2022-06-08 Xiaodong Luo , Chuan-An Xia

Assembly Theory, as developed by Cronin and co-workers, assigns to an object an assembly index: the minimal number of binary join operations required to build at least one copy of the object from a specified set of basic building blocks,…

Formal Languages and Automata Theory · Computer Science 2026-02-06 Piotr Masierak

We propose an approach for anytime continual learning (AnytimeCL) for open vocabulary image classification. The AnytimeCL problem aims to break away from batch training and rigid models by requiring that a system can predict any set of…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Zhen Zhu , Yiming Gong , Derek Hoiem