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Sorting is the one of the fundamental tasks of modern data management systems. With Disk I/O being the most-accused performance bottleneck and more computation-intensive workloads, it has come to our attention that in heterogeneous…

Databases · Computer Science 2019-09-19 Yuanjing Shi , Zhaoxing Li

In this paper we provide faster algorithms for approximately solving discounted Markov Decision Processes in multiple parameter regimes. Given a discounted Markov Decision Process (DMDP) with $|S|$ states, $|A|$ actions, discount factor…

Data Structures and Algorithms · Computer Science 2020-12-24 Aaron Sidford , Mengdi Wang , Xian Wu , Yinyu Ye

We consider the offline sorting buffer problem. The input is a sequence of items of different types. All items must be processed one by one by a server. The server is equipped with a random-access buffer of limited capacity which can be…

Data Structures and Algorithms · Computer Science 2010-09-23 Ho-Leung Chan , Nicole Megow , Rob van Stee , Rene Sitters

Recent technological advancements show promise in leveraging quantum mechanical phenomena for computation. This brings substantial speed-ups to problems that are once considered to be intractable in the classical world. However, the…

Quantum Physics · Physics 2023-12-05 Shaowen Li , Yusuke Kimura , Hiroyuki Sato , Junwei Yu , Masahiro Fujita

The Tucker tensor decomposition is a natural extension of the singular value decomposition (SVD) to multiway data. We propose to accelerate Tucker tensor decomposition algorithms by using randomization and parallelization. We present two…

Numerical Analysis · Mathematics 2023-06-12 Rachel Minster , Zitong Li , Grey Ballard

Sorting is a fundamental algorithmic pre-processing technique which often allows to represent data more compactly and, at the same time, speeds up search queries on it. In this paper, we focus on the well-studied problem of sorting and…

Data Structures and Algorithms · Computer Science 2023-04-24 Sung-Hwan Kim , Francisco Olivares , Nicola Prezza

We consider optimal planning in a large-scale system formalised as a hierarchical finite state machine (HFSM). A planning algorithm is proposed computing an optimal plan between any two states in the HFSM, consisting of two steps: A…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Elis Stefansson , Karl H. Johansson

Visually sorted grid layouts provide an efficient method for organizing high-dimensional vectors in two-dimensional space by aligning spatial proximity with similarity relationships. This approach facilitates the effective sorting of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Kai Uwe Barthel , Florian Tim Barthel , Peter Eisert , Nico Hezel , Konstantin Schall

This paper introduces a new proximal stochastic gradient method with variance reduction and stabilization for minimizing the sum of a convex stochastic function and a group sparsity-inducing regularization function. Since the method may be…

Optimization and Control · Mathematics 2023-02-15 Yutong Dai , Guanyi Wang , Frank E. Curtis , Daniel P. Robinson

We propose a new constrained-optimization formulation for deep ordinal classification, in which uni-modality of the label distribution is enforced implicitly via a set of inequality constraints over all the pairs of adjacent labels. Based…

Machine Learning · Computer Science 2020-06-15 Soufiane Belharbi , Ismail Ben Ayed , Luke McCaffrey , Eric Granger

In this paper, we devise a scheduling algorithm for ordering transmission of synchrophasor data from the substation to the control center in as short a time frame as possible, within the realtime hierarchical communications infrastructure…

Information Theory · Computer Science 2015-11-03 K. G. Nagananda , P. P. Khargonekar

Chance constrained program is computationally intractable due to the existence of chance constraints, which are randomly disturbed and should be satisfied with a probability. This paper proposes a two-layer randomized algorithm to address…

Optimization and Control · Mathematics 2019-11-11 Xun Shen , Jiancang Zhuang , Xingguo Zhang

We consider the assortment optimization problem with disjoint-cardinality constraints under two-level nested logit model. To solve this problem, we first identify a candidate set with $O(mn^2)$ assortments and show that at least one optimal…

Optimization and Control · Mathematics 2016-03-31 Tian Xie

In big data analysis, a simple task such as linear regression can become very challenging as the variable dimension $p$ grows. As a result, variable screening is inevitable in many scientific studies. In recent years, randomized algorithms…

Methodology · Statistics 2019-02-13 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Yun Huang

Reading order detection is the foundation of document understanding. Most existing methods rely on uniform supervision, implicitly assuming a constant difficulty distribution across layout regions. In this work, we challenge this assumption…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Fuyuan Liu , Dianyu Yu , He Ren , Nayu Liu , Xiaomian Kang , Delai Qiu , Fa Zhang , Genpeng Zhen , Shengping Liu , Jiaen Liang , Wei Huang , Yining Wang , Junnan Zhu

When lexicographically sorting strings, it is not always necessary to inspect all symbols. For example, the lexicographical rank of "europar" amongst the strings "eureka", "eurasia", and "excells" only depends on its so called relevant…

Data Structures and Algorithms · Computer Science 2020-06-04 Jonas Ellert , Johannes Fischer , Nodari Sitchinava

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

A very simple first-order algorithm is proposed for solving nonlinear optimization problems with deterministic nonlinear equality constraints. This algorithm adaptively selects steps in the plane tangent to the constraints or steps that…

Optimization and Control · Mathematics 2026-03-11 Serge Gratton , Philippe L. Toint

Machine learning pipelines often rely on optimization procedures to make discrete decisions (e.g., sorting, picking closest neighbors, or shortest paths). Although these discrete decisions are easily computed, they break the…

Machine Learning · Computer Science 2020-06-11 Quentin Berthet , Mathieu Blondel , Olivier Teboul , Marco Cuturi , Jean-Philippe Vert , Francis Bach

Submodular maximization is one of the central topics in combinatorial optimization. It has found numerous applications in the real world. Streaming algorithms for submodule maximization have gained attention in recent years, allowing for…

Data Structures and Algorithms · Computer Science 2023-11-08 Xiaoming Sun , Jialin Zhang , Shuo Zhang