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Ensemble approaches for deep-learning-based semantic segmentation remain insufficiently explored despite the proliferation of competitive benchmarks and downstream applications. In this work, we explore and benchmark the popular ensembling…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Rawal Khirodkar , Brandon Smith , Siddhartha Chandra , Amit Agrawal , Antonio Criminisi

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

Methodology · Statistics 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

Combinatorial optimization can be described as the problem of finding a feasible subset that maximizes a objective function. The paper discusses combinatorial optimization problems, where for each dimension the set of feasible subsets is…

Computational Complexity · Computer Science 2024-11-27 Nimrod Megiddo

Many algorithms have been developed for enumerating various combinatorial objects in time exponentially less than the number of objects. Two common classes of algorithms are dynamic programming and the transfer matrix method. This paper…

Combinatorics · Mathematics 2017-05-16 Andrew R. Conway

As we continue to collect and store textual data in a multitude of domains, we are regularly confronted with material whose largely unknown thematic structure we want to uncover. With unsupervised, exploratory analysis, no prior knowledge…

Information Retrieval · Computer Science 2015-07-20 Samuel Rönnqvist

We propose in this paper an exploratory analysis algorithm for functional data. The method partitions a set of functions into $K$ clusters and represents each cluster by a simple prototype (e.g., piecewise constant). The total number of…

Machine Learning · Statistics 2010-04-06 Georges Hébrail , Bernard Hugueney , Yves Lechevallier , Fabrice Rossi

Computational materials science increasingly benefits from data management, automation, and algorithm-based decision-making for the simulation of material properties and behavior. Experimental materials science also changes rapidly by…

We present an elementary method for proving enumeration formulas which are polynomials in certain parameters if others are fixed and factorize into distinct linear factors over Z. Roughly speaking the idea is to prove such formulas by…

Combinatorics · Mathematics 2007-05-23 Ilse Fischer

The goal of most materials discovery is to discover materials that are superior to those currently known. Fundamentally, this is close to extrapolation, which is a weak point for most machine learning models that learn the probability…

Biomolecules · Quantitative Biology 2024-05-08 Hyunseung Kim , Haeyeon Choi , Dongju Kang , Won Bo Lee , Jonggeol Na

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

We consider Bayesian optimization of expensive-to-evaluate experiments that generate vector-valued outcomes over which a decision-maker (DM) has preferences. These preferences are encoded by a utility function that is not known in closed…

Machine Learning · Computer Science 2022-03-23 Zhiyuan Jerry Lin , Raul Astudillo , Peter I. Frazier , Eytan Bakshy

We present a generic programming framework for OCAML which makes it possible to implement extensible transformations for a large scale of type definitions. Our framework makes use of objectoriented features of OCAML, utilising late binding…

Programming Languages · Computer Science 2021-06-03 Dmitrii Kosarev , Dmitry Boulytchev

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

Machine Learning · Computer Science 2019-12-20 Hongjing Zhang , Sugato Basu , Ian Davidson

A large body of work in machine learning has focused on the problem of learning a close approximation to an underlying combinatorial function, given a small set of labeled examples. However, for real-valued functions, cardinal labels might…

Machine Learning · Computer Science 2016-05-31 Maria-Florina Balcan , Ellen Vitercik , Colin White

The area of declarative data analytics explores the application of the declarative paradigm on data science and machine learning. It proposes declarative languages for expressing data analysis tasks and develops systems which optimize…

Databases · Computer Science 2019-02-05 Nantia Makrynioti , Vasilis Vassalos

In this paper we investigate the problem of learning evolving concepts over a combinatorial structure. Previous work by Emamjomeh-Zadeh et al. [2020] introduced dynamics into interactive learning as a way to model non-static user…

Machine Learning · Computer Science 2022-04-15 Xing Gao , Thomas Maranzatto , Lev Reyzin

Tandem duplication is an evolutionary process whereby a segment of DNA is replicated and proximally inserted. The different configurations that can arise from this process give rise to some interesting combinatorial questions. Firstly, we…

Combinatorics · Mathematics 2016-11-25 L Penso-Dolfin , CD Greenman

In this paper, we review the problem of matrix completion and expose its intimate relations with algebraic geometry, combinatorics and graph theory. We present the first necessary and sufficient combinatorial conditions for matrices of…

Machine Learning · Computer Science 2012-07-03 Franz Kiraly , Ryota Tomioka

The relative power of quantum algorithms, using an adaptive access to quantum devices, versus classical post-processing methods that rely only on an initial quantum data set, remains the subject of active debate. Here, we present evidence…

Quantum Physics · Physics 2025-10-02 Oleksandr Kyriienko , Chukwudubem Umeano , Zoë Holmes

In today's data driven world, storing, processing, and gleaning insights from large-scale data are major challenges. Data compression is often required in order to store large amounts of high-dimensional data, and thus, efficient inference…

Machine Learning · Statistics 2018-09-11 Denali Molitor , Deanna Needell