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Efficient benchmarking techniques aim to lower the computational cost of evaluating LLMs by predicting full benchmark scores using only a subset of a benchmark's questions. By reframing this problem as an instance of multiple regression…

Machine Learning · Statistics 2026-05-26 Sam Bowyer , Acyr Locatelli , Kris Cao

The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank optimization is characterized by an efficient factorization…

Optimization and Control · Mathematics 2013-06-04 B. Mishra , G. Meyer , F. Bach , R. Sepulchre

This paper describes ANN-Benchmarks, a tool for evaluating the performance of in-memory approximate nearest neighbor algorithms. It provides a standard interface for measuring the performance and quality achieved by nearest neighbor…

Information Retrieval · Computer Science 2018-07-19 Martin Aumüller , Erik Bernhardsson , Alexander Faithfull

We introduce MarginMatch, a new SSL approach combining consistency regularization and pseudo-labeling, with its main novelty arising from the use of unlabeled data training dynamics to measure pseudo-label quality. Instead of using only the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Tiberiu Sosea , Cornelia Caragea

In many applications, we need algorithms which can align partially overlapping point sets and are invariant to the corresponding transformations. In this work, a method possessing such properties is realized by minimizing the objective of…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Wei Lian , Wangmeng Zuo

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

Benchmarking is one of the key ways in which we can gain insight into the strengths and weaknesses of optimization algorithms. In sampling-based optimization, considering the anytime behavior of an algorithm can provide valuable insights…

Neural and Evolutionary Computing · Computer Science 2024-12-11 Diederick Vermetten , Jeroen Rook , Oliver L. Preuß , Jacob de Nobel , Carola Doerr , Manuel López-Ibañez , Heike Trautmann , Thomas Bäck

The convergence analysis for least-squares finite element methods led to various adaptive mesh-refinement strategies: Collective marking algorithms driven by the built-in a posteriori error estimator or an alternative explicit…

Numerical Analysis · Mathematics 2023-09-18 Philipp Bringmann

For general multi-objective optimization problems, we propose a novel performance metric called domination measure to measure the quality of a solution, which can be intuitively interpreted as the size of the portion of the solution space…

Optimization and Control · Mathematics 2016-12-26 Joshua Q Hale , Helin Zhu , Enlu Zhou

We examine the problem of approximating a positive, semidefinite matrix $\Sigma$ by a dyad $xx^T$, with a penalty on the cardinality of the vector $x$. This problem arises in sparse principal component analysis, where a decomposition of…

Optimization and Control · Mathematics 2007-06-13 Laurent El Ghaoui

Semi-infinite programming can be used to model a large variety of complex optimization problems. The simple description of such problems comes at a price: semi-infinite problems are often harder to solve than finite nonlinear problems. In…

Optimization and Control · Mathematics 2023-05-01 Tobias Seidel , Karl-Heinz Küfer

Fair algorithm evaluation is conditioned on the existence of high-quality benchmark datasets that are non-redundant and are representative of typical optimization scenarios. In this paper, we evaluate three heuristics for selecting diverse…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Gjorgjina Cenikj , Ryan Dieter Lang , Andries Petrus Engelbrecht , Carola Doerr , Peter Korošec , Tome Eftimov

Hyperparameter Optimization (HPO) is crucial to develop well-performing machine learning models. In order to ease prototyping and benchmarking of HPO methods, we propose carps, a benchmark framework for Comprehensive Automated Research…

We combine the fields of heuristic optimization and optimal stopping. We propose a strategy for benchmarking randomized optimization algorithms that minimizes the expected total cost for obtaining a good solution with an optimal number of…

Quantum Physics · Physics 2016-12-07 Walter Vinci , Daniel A. Lidar

We present a novel multilabel/ranking algorithm working in partial information settings. The algorithm is based on 2nd-order descent methods, and relies on upper-confidence bounds to trade-off exploration and exploitation. We analyze this…

Machine Learning · Computer Science 2013-01-17 Claudio Gentile , Francesco Orabona

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

Data Structures and Algorithms · Computer Science 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

Nowadays integration of mass matrix components in the element domain is performed using various numerical integration schemes, each one possess different level of accuracy, alters in number of integration (Gauss) points and requires…

Numerical Analysis · Mathematics 2014-10-14 Eli Hanukah

Semi-supervised semantic segmentation (SS-SS) aims to mitigate the heavy annotation burden of dense pixel labeling by leveraging abundant unlabeled images alongside a small labeled set. While current consistency regularization methods…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Haruya Ishikawa , Yoshimitsu Aoki

Neural Combinatorial Optimization has been researched actively in the last eight years. Even though many of the proposed Machine Learning based approaches are compared on the same datasets, the evaluation protocol exhibits essential flaws…

Machine Learning · Computer Science 2023-10-09 Daniela Thyssens , Tim Dernedde , Jonas K. Falkner , Lars Schmidt-Thieme

In a widely-studied class of multi-parametric optimization problems, the objective value of each solution is an affine function of real-valued parameters. Then, the goal is to provide an optimal solution set, i.e., a set containing an…

Optimization and Control · Mathematics 2021-12-14 Stephan Helfrich , Arne Herzel , Stefan Ruzika , Clemens Thielen
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