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We demonstrate the synthesis of sparse sampling and machine learning to characterize and model complex, nonlinear dynamical systems over a range of bifurcation parameters. First, we construct modal libraries using the classical proper…

Pattern Formation and Solitons · Physics 2015-10-28 Syuzanna Sargsyan , Steven L. Brunton , J. Nathan Kutz

Previous research on word embeddings has shown that sparse representations, which can be either learned on top of existing dense embeddings or obtained through model constraints during training time, have the benefit of increased…

Computation and Language · Computer Science 2018-09-26 Valentin Trifonov , Octavian-Eugen Ganea , Anna Potapenko , Thomas Hofmann

Answer set programming (ASP) is a well-established knowledge representation formalism. Most ASP solvers are based on (extensions of) technology from Boolean satisfiability solving. While these solvers have shown to be very successful in…

Logic in Computer Science · Computer Science 2020-09-23 Wolf De Wulf , Bart Bogaerts

Modelling human variation in rating tasks is crucial for personalization, pluralistic model alignment, and computational social science. We propose representing individuals using natural language value profiles -- descriptions of underlying…

In this paper we propose and carefully evaluate a sequence labeling framework which solely utilizes sparse indicator features derived from dense distributed word representations. The proposed model obtains (near) state-of-the art…

Computation and Language · Computer Science 2016-12-22 Gábor Berend

Convolutional sparse representations are a form of sparse representation with a dictionary that has a structure that is equivalent to convolution with a set of linear filters. While effective algorithms have recently been developed for the…

Machine Learning · Computer Science 2018-09-06 Cristina Garcia-Cardona , Brendt Wohlberg

Sparse representation has attracted much attention from researchers in fields of signal processing, image processing, computer vision and pattern recognition. Sparse representation also has a good reputation in both theoretical research and…

Computer Vision and Pattern Recognition · Computer Science 2016-02-24 Zheng Zhang , Yong Xu , Jian Yang , Xuelong Li , David Zhang

Event-B is a formal approach oriented to system modeling and analysis. It supports refinement mechanism that enables stepwise modeling and verification of a system. By using refinement, the complexity of verification can be spread and…

Software Engineering · Computer Science 2012-10-29 Tsutomu Kobayashi , Shinichi Honiden

Reasoning about real-life events is a unifying challenge in AI and NLP that has profound utility in a variety of domains, while fallacy in high-stake applications could be catastrophic. Able to work with diverse text in these domains, large…

Computation and Language · Computer Science 2024-08-30 Li Zhang

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Artificial Intelligence · Computer Science 2024-11-13 Konstantin Sidorov , Koos van der Linden , Gonçalo Homem de Almeida Correia , Mathijs de Weerdt , Emir Demirović

In this paper, I propose to implement syllabification in OT as a parser. I propose several innovations that result in a finite and small candidate set. The candidate set problem is handled with several moves: i) MAX and DEP violations are…

cmp-lg · Computer Science 2007-05-23 Michael Hammond

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

Event-B is one of more popular notations for model-based, proof driven specification. It offers a fairly high-level mathematical lan- guage based on FOL and ZF set theory and an economical yet expres- sive modelling notation. Model…

Software Engineering · Computer Science 2016-11-10 Paulius Stankaitis , Alexei Iliasov , David Adjepon-Yamoah , Alexander Romanovsky

Dense and sparse tensors allow the representation of most bulk data structures in computational science applications. We show that sparse tensor algebra can also be used to express many of the transformations on these datasets, especially…

Mathematical Software · Computer Science 2015-12-02 Edgar Solomonik , Torsten Hoefler

Owing to the capability of in-context learning, large language models (LLMs) have shown impressive performance across diverse mathematical reasoning benchmarks. However, we find that few-shot demonstrations can sometimes bring negative…

Computation and Language · Computer Science 2024-12-18 Jiayu Liu , Zhenya Huang , Chaokun Wang , Xunpeng Huang , Chengxiang Zhai , Enhong Chen

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

Machine Learning · Computer Science 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

We introduce a compressed representation of sets of sets that exploits how much they differ from each other. Our representation supports access, membership, predecessor and successor queries on the sets within logarithmic time. In addition,…

Data Structures and Algorithms · Computer Science 2026-02-02 Travis Gagie , Meng He , Gonzalo Navarro

Answer Set Programming (ASP) is an important logic programming paradigm within the field of Knowledge Representation and Reasoning. As a concise, human-readable, declarative language, ASP is an excellent tool for developing trustworthy…

Logic in Computer Science · Computer Science 2025-02-14 Zachary Hansen

The probing classifiers framework has been employed for interpreting deep neural network models for a variety of natural language processing (NLP) applications. Studies, however, have largely focused on sentencelevel NLP tasks. This work is…

Computation and Language · Computer Science 2023-10-25 Barry Wang , Xinya Du , Claire Cardie

Linear Mixed-Effects (LME) models are a fundamental tool for modeling clustered data, including cohort studies, longitudinal data analysis, and meta-analysis. The design and analysis of variable selection methods for LMEs is considerably…

Methodology · Statistics 2022-09-28 Aleksandr Aravkin , James Burke , Aleksei Sholokhov , Peng Zheng