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As datasets grow it becomes infeasible to process them completely with a desired model. For giant datasets, we frame the order in which computation is performed as a decision problem. The order is designed so that partial computations are…

Computation · Statistics 2014-03-18 Daniel John Lawson , Niall M Adams

Bin packing is a classic optimization problem with a wide range of applications, from load balancing to supply chain management. In this work, we study the online variant of the problem, in which a sequence of items of various sizes must be…

Data Structures and Algorithms · Computer Science 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

This paper presents OpTaS, a task specification Python library for Trajectory Optimization (TO) and Model Predictive Control (MPC) in robotics. Both TO and MPC are increasingly receiving interest in optimal control and in particular…

The assumption that data samples are independently identically distributed is the backbone of many learning algorithms. Nevertheless, datasets often exhibit rich structure in practice, and we argue that there exist some unknown order within…

Machine Learning · Computer Science 2019-03-06 Yao-Hung Hubert Tsai , Han Zhao , Ruslan Salakhutdinov , Nebojsa Jojic

Machine learning algorithms are useful for various predictions tasks, but they can also learn how to discriminate, based on gender, race or other sensitive attributes. This realization gave rise to the field of fair machine learning, which…

Machine Learning · Computer Science 2021-10-22 Drago Plečko , Nicolas Bennett , Nicolai Meinshausen

Ordinal Embedding places n objects into R^d based on comparisons such as "a is closer to b than c." Current optimization-based approaches suffer from scalability problems and an abundance of low quality local optima. We instead consider a…

Computational Geometry · Computer Science 2018-05-22 Jesse Anderton , Virgil Pavlu , Javed Aslam

StepMania is a popular open-source clone of a rhythm-based video game. As is common in popular games, there is a large number of community-designed levels. It is often difficult for players and level authors to determine the difficulty…

Machine Learning · Computer Science 2023-01-24 Billy Joe Franks , Benjamin Dinkelmann , Sophie Fellenz , Marius Kloft

Lattices and their order diagrams are an essential tool for communicating knowledge and insights about data. This is in particular true when applying Formal Concept Analysis. Such representations, however, are difficult to comprehend by…

Artificial Intelligence · Computer Science 2023-12-29 Johannes Hirth , Viktoria Horn , Gerd Stumme , Tom Hanika

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

The dramatic growth of big datasets presents a new challenge to data storage and analysis. Data reduction, or subsampling, that extracts useful information from datasets is a crucial step in big data analysis. We propose an orthogonal…

Methodology · Statistics 2021-06-01 Lin Wang , Jake Elmstedt , Weng Kee Wong , Hongquan Xu

In the era of the big data, we create and collect lots of data from all different kinds of sources: the Internet, the sensors, the consumer market, and so on. Many of the data are coming sequentially, and would like to be processed and…

Machine Learning · Computer Science 2020-10-01 Jianjun Yuan

In open-set recognition (OSR), classifiers should be able to reject unknown-class samples while maintaining high closed-set classification accuracy. To effectively solve the OSR problem, previous studies attempted to limit latent feature…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Wonwoo Cho , Jaegul Choo

Semantic understanding of programs is a fundamental problem for programming language processing (PLP). Recent works that learn representations of code based on pre-training techniques in NLP have pushed the frontiers in this direction.…

Programming Languages · Computer Science 2021-11-25 Dinglan Peng , Shuxin Zheng , Yatao Li , Guolin Ke , Di He , Tie-Yan Liu

A growing line of work shows how learned predictions can be used to break through worst-case barriers to improve the running time of an algorithm. However, incorporating predictions into data structures with strong theoretical guarantees…

Data Structures and Algorithms · Computer Science 2023-06-21 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

Online linear programming (OLP) has found broad applications in revenue management and resource allocation. State-of-the-art OLP algorithms achieve low regret by repeatedly solving linear programming (LP) subproblems that incorporate…

Machine Learning · Statistics 2025-11-04 Jingruo Sun , Wenzhi Gao , Ellen Vitercik , Yinyu Ye

In this paper, we study the fundamental open question of finding the optimal high-order algorithm for solving smooth convex minimization problems. Arjevani et al. (2019) established the lower bound $\Omega\left(\epsilon^{-2/(3p+1)}\right)$…

Optimization and Control · Mathematics 2022-05-20 Dmitry Kovalev , Alexander Gasnikov

Open world classification is a task in natural language processing with key practical relevance and impact. Since the open or {\em unknown} category data only manifests in the inference phase, finding a model with a suitable decision…

Computation and Language · Computer Science 2023-03-13 Ke Bai , Guoyin Wang , Jiwei Li , Sunghyun Park , Sungjin Lee , Puyang Xu , Ricardo Henao , Lawrence Carin

We consider ordinal online problems, i.e., tasks that only require pairwise comparisons between elements of the input. A classic example is the secretary problem and the game of googol, as well as its multiple combinatorial extensions such…

Data Structures and Algorithms · Computer Science 2023-10-13 Nick Gravin , Enze Sun , Zhihao Gavin Tang

Differentiable optimization layers enable learning systems to make decisions by solving embedded optimization problems. However, computing gradients via implicit differentiation requires solving a linear system with Hessian terms, which is…

Machine Learning · Computer Science 2025-12-03 Zihao Zhao , Kai-Chia Mo , Shing-Hei Ho , Brandon Amos , Kai Wang

It is shown how to set up, conduct, and analyze large simulation studies with the new R package simsalapar = simulations simplified and launched parallel. A simulation study typically starts with determining a collection of input variables…

Computation · Statistics 2013-09-18 Marius Hofert , Martin Mächler