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Related papers: A term-rewriting characterization of PSPACE

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When dealing with the steady-state multiscale radiative transfer equation (RTE) with heterogeneous coefficients, spatially localized low-rank structures are present in the angular space. This paper introduces an adaptive tailored finite…

Numerical Analysis · Mathematics 2024-09-10 Qinchen Song , Jingyi Fu , Min Tang , Lei Zhang

For reconstruction of low-rank matrices from undersampled measurements, we develop an iterative algorithm based on least-squares estimation. While the algorithm can be used for any low-rank matrix, it is also capable of exploiting a-priori…

Statistics Theory · Mathematics 2012-06-13 Dave Zachariah , Martin Sundin , Magnus Jansson , Saikat Chatterjee

Tensor kernels in machine learning (ML) often correspond to pure mathematical expressions, making term rewriting an attractive strategy for optimization and mapping to specialized hardware accelerators. However, existing ML intermediate…

Programming Languages · Computer Science 2021-05-21 Gus Henry Smith , Andrew Liu , Steven Lyubomirsky , Scott Davidson , Joseph McMahan , Michael Taylor , Luis Ceze , Zachary Tatlock

We revisit parallel-innermost term rewriting as a model of parallel computation on inductive data structures and provide a corresponding notion of runtime complexity parametric in the size of the start term. We propose automatic techniques…

Logic in Computer Science · Computer Science 2022-08-02 Thaïs Baudon , Carsten Fuhs , Laure Gonnord

Concerning classical computational models able to express all the Primitive Recursive Functions (PRF), there are interesting results regarding limits on their algorithmic expressiveness or, equivalently, efficiency, namely the ability to…

Programming Languages · Computer Science 2024-03-01 Matteo Palazzo , Luca Roversi

Providing compact and understandable counterexamples for violated system properties is an essential task in model checking. Existing works on counterexamples for probabilistic systems so far computed either a large set of system runs or a…

Software Engineering · Computer Science 2016-11-26 Ralf Wimmer , Nils Jansen , Erika Ábrahám , Joost-Pieter Katoen

A great variety of text tasks such as topic or spam identification, user profiling, and sentiment analysis can be posed as a supervised learning problem and tackle using a text classifier. A text classifier consists of several subprocesses,…

Computation and Language · Computer Science 2017-09-18 Eric S. Tellez , Daniela Moctezuma , Sabino Miranda-Jímenez , Mario Graff

In various areas of computer science, the problem of dealing with a set of constraints arises. If the set of constraints is unsatisfiable, one may ask for a minimal description of the reason for this unsatisifi- ability. Minimal…

Artificial Intelligence · Computer Science 2016-06-13 Jaroslav Bendik , Nikola Benes , Ivana Cerna , Jiri Barnat

The implementation process of a $\texttt{RestrictedFunctionSpace}$ class in Firedrake, a Python library which numerically solves partial differential equations through the use of the finite element method, is documented. This includes an…

Mathematical Software · Computer Science 2024-08-13 Emma Rothwell

We propose a novel few-shot action recognition framework, STRM, which enhances class-specific feature discriminability while simultaneously learning higher-order temporal representations. The focus of our approach is a novel spatio-temporal…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Anirudh Thatipelli , Sanath Narayan , Salman Khan , Rao Muhammad Anwer , Fahad Shahbaz Khan , Bernard Ghanem

Recently there is a line of research work proposing to employ Spectral Clustering (SC) to segment (group){Throughout the paper, we use segmentation, clustering, and grouping, and their verb forms, interchangeably.} high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2010-10-11 Yuzhao Ni , Ju Sun , Xiaotong Yuan , Shuicheng Yan , Loong-Fah Cheong

Person re-identification (re-id), an emerging problem in visual surveillance, deals with maintaining entities of individuals whilst they traverse various locations surveilled by a camera network. From a visual perspective re-id is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-11 Ziming Zhang , Venkatesh Saligrama

In this paper, we propose a novel multi-task learning (MTL) framework, called Self-Paced Multi-Task Learning (SPMTL). Different from previous works treating all tasks and instances equally when training, SPMTL attempts to jointly learn the…

Machine Learning · Computer Science 2017-04-04 Changsheng Li , Junchi Yan , Fan Wei , Weishan Dong , Qingshan Liu , Hongyuan Zha

Despite recent advancements in federated learning (FL), the integration of generative models into FL has been limited due to challenges such as high communication costs and unstable training in heterogeneous data environments. To address…

Machine Learning · Computer Science 2025-03-25 Kyeongkook Seo , Dong-Jun Han , Jaejun Yoo

Predicative analysis of recursion schema is a method to characterize complexity classes like the class FPTIME of polynomial time computable functions. This analysis comes from the works of Bellantoni and Cook, and Leivant by data tiering.…

Computational Complexity · Computer Science 2015-07-01 Jean-Yves Marion

Instead of minimizing the sum of all $n$ squared residuals as the classical least squares (LS) does, Rousseeuw (1984) proposed to minimize the sum of $h$ ($n/2 \leq h < n$) smallest squared residuals, the resulting estimator is called least…

Computation · Statistics 2022-10-13 Yijun Zuo

The task of predicting missing entries of a matrix, from a subset of known entries, is known as \textit{matrix completion}. In today's data-driven world, data completion is essential whether it is the main goal or a pre-processing step.…

Numerical Analysis · Mathematics 2021-05-18 Henry Adams , Lara Kassab , Deanna Needell

Many real world data sets exhibit an embedding of low-dimensional structure in a high-dimensional manifold. Examples include images, videos and internet traffic data. It is of great significance to reduce the storage requirements and…

Methodology · Statistics 2015-06-05 Yuejie Chi , Yonina C. Eldar , Robert Calderbank

In this paper, we study convex optimization methods for computing the trace norm regularized least squares estimate in multivariate linear regression. The so-called factor estimation and selection (FES) method, recently proposed by Yuan et…

Methodology · Statistics 2009-04-07 Zhaosong Lu , Renato D. C. Monteiro , Ming Yuan

Rewriting systems are often defined as binary relations over a given set of objects. This simple definition is used to describe various properties of rewriting such as termination, confluence, normal forms etc. In this paper, we introduce a…

Logic in Computer Science · Computer Science 2011-06-01 Dominique Duval , Rachid Echahed , Frédéric Prost