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The matching principles behind optimal transport (OT) play an increasingly important role in machine learning, a trend which can be observed when OT is used to disambiguate datasets in applications (e.g. single-cell genomics) or used to…

Machine Learning · Statistics 2022-09-16 Meyer Scetbon , Marco Cuturi

Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

Optimization and Control · Mathematics 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin

Undoing operations is an indispensable feature for many collaborative applications, mainly collaborative editors. It provides the ability to restore a correct state of shared data after erroneous operations. In particular, selective undo…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-04 Asma Cherif , Abdessamad Imine

The rapid advances in the field of optimization methods in many pure and applied science pose the difficulty of keeping track of the developments as well as selecting an appropriate technique that best suits the problem in-hand. From a…

Neural and Evolutionary Computing · Computer Science 2011-12-30 Loris Serafino

We consider the problem of ranking a set of OT constraints in a manner consistent with data. We speed up Tesar and Smolensky's RCD algorithm to be linear on the number of constraints. This finds a ranking so each attested form x_i beats or…

Computation and Language · Computer Science 2007-05-23 Jason Eisner

This work describes the principled design of a theoretical framework leading to fast and accurate algorithmic information measures on finite multisets of finite strings by means of compression. One distinctive feature of our approach is to…

Information Theory · Computer Science 2025-02-25 François Cayre

Optimal transport (OT) is a versatile framework for comparing probability measures, with many applications to statistics, machine learning, and applied mathematics. However, OT distances suffer from computational and statistical scalability…

Statistics Theory · Mathematics 2022-06-08 Ziv Goldfeld , Kengo Kato , Gabriel Rioux , Ritwik Sadhu

Oblique Decision Tree (ODT) separates the feature space by linear projections, as opposed to the conventional Decision Tree (DT) that forces axis-parallel splits. ODT has been proven to have a stronger representation ability than DT, as it…

Machine Learning · Computer Science 2025-02-04 Shen-Huan Lyu , Yi-Xiao He , Yanyan Wang , Zhihao Qu , Bin Tang , Baoliu Ye

Optimal Transport (OT) problem investigates a transport map that bridges two distributions while minimizing a given cost function. In this regard, OT between tractable prior distribution and data has been utilized for generative modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

With the widespread application of optimal transport (OT), its calculation becomes essential, and various algorithms have emerged. However, the existing methods either have low efficiency or cannot represent discontinuous maps. A novel…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Zezeng Li , Shenghao Li , Lianbao Jin , Na Lei , Zhongxuan Luo

We study a simplification of GAN training: the problem of transporting particles from a source to a target distribution. Starting from the Sobolev GAN critic, part of the gradient regularized GAN family, we show a strong relation with…

Machine Learning · Computer Science 2019-08-06 Youssef Mroueh , Tom Sercu , Anant Raj

Recently, a plethora of works have proposed inference-time algorithms (e.g. best-of-n), which incorporate verifiers to assist the generation process. Their quality-efficiency trade-offs have been empirically benchmarked on a variety of…

Computation and Language · Computer Science 2025-06-09 Edoardo Botta , Yuchen Li , Aashay Mehta , Jordan T. Ash , Cyril Zhang , Andrej Risteski

In this research we use a data stream approach to mining data and construct Decision Tree models that predict software build outcomes in terms of software metrics that are derived from source code used in the software construction process.…

Software Engineering · Computer Science 2014-07-10 Russel Pears , Jacqui Finlay , Andy M. Connor

Making a Prolog program more efficient by transforming its source code, without changing its operational semantics, is not an obvious task. It requires the user to have a clear understanding of how the Prolog compiler works, and in…

Programming Languages · Computer Science 2007-11-01 Francois Gobert , Baudouin Le Charlier

This work presents a novel method for task optimization in industrial plants using quantum-inspired tensor network technology. This method obtains the best possible combination of tasks on a set of machines with directed constraints while…

Providing pretrained language models with simple task descriptions in natural language enables them to solve some tasks in a fully unsupervised fashion. Moreover, when combined with regular learning from examples, this idea yields…

Computation and Language · Computer Science 2021-10-05 Timo Schick , Hinrich Schütze

Open Information Extraction (OpenIE) is a fundamental yet challenging task in Natural Language Processing, which involves extracting all triples (subject, predicate, object) from a given sentence. While labeling-based methods have their…

Computation and Language · Computer Science 2024-06-27 Zhiyuan Fan , Shizhu He

The rapid emergence of single-cell data has facilitated the study of many different biological conditions at the cellular level. Cluster analysis has been widely applied to identify cell types, capturing the essential patterns of the…

Genomics · Quantitative Biology 2025-02-03 Sebastian Pena , Lin Lin , Jia Li

Modern generative AI models, such as diffusion and flow matching models, can sample from rich data distributions. However, many applications, especially in science and engineering, require more than drawing samples from the model…

Data summarization that presents a small subset of a dataset to users has been widely applied in numerous applications and systems. Many datasets are coded with hierarchical terminologies, e.g., the international classification of…

Databases · Computer Science 2021-10-15 Xuliang Zhu , Xin Huang , Byron Choi , Jianliang Xu , William K. Cheung , Yanchun Zhang , Jiming Liu