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In this paper we consider the problem of minimizing a general quadratic function over the mixed integer points in an ellipsoid. This problem is strongly NP-hard, NP-hard to approximate within a constant factor, and optimal solutions can be…

Optimization and Control · Mathematics 2024-09-23 Alberto Del Pia

Bringing together nonlinear optimization with polyhedral and integrality constraints enables versatile modeling, but poses significant computational challenges. We investigate a method to address these problems based on sequential…

Optimization and Control · Mathematics 2024-10-08 Alberto De Marchi

Model merging combines fine-tuned checkpoints into a single multi-task model without retraining. Existing methods - such as task arithmetic, model soups, TIES, and DARE - are computationally efficient and empirically successful, but rely on…

Machine Learning · Computer Science 2026-05-29 Bethan Evans , Benjamin Etheridge , Stephen Roberts , Jared Tanner

Reliably predicting nuclear properties across the entire chart of isotopes is important for applications ranging from nuclear astrophysics to superheavy science to nuclear technology. To this day, however, all the theoretical models that…

Nuclear Theory · Physics 2025-10-29 Aman Sharma , Nicolas Schunck , Kyle Wendt

We revisit FedExProx - a recently proposed distributed optimization method designed to enhance convergence properties of parallel proximal algorithms via extrapolation. In the process, we uncover a surprising flaw: its known theoretical…

Optimization and Control · Mathematics 2026-04-21 Wojciech Anyszka , Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

Many vision-related tasks benefit from reasoning over multiple modalities to leverage complementary views of data in an attempt to learn robust embedding spaces. Most deep learning-based methods rely on a late fusion technique whereby…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Austin Reiter , Menglin Jia , Pu Yang , Ser-Nam Lim

Gaussian Mixture Models are a powerful tool in Data Science and Statistics that are mainly used for clustering and density approximation. The task of estimating the model parameters is in practice often solved by the Expectation…

Machine Learning · Statistics 2022-08-25 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

Multi-target tracking (MTT) serves as a cornerstone technology in information fusion, yet faces significant challenges in robustness and efficiency when dealing with model uncertainties, clutter interference, and target interactions.…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Ming Lei , Shufan Wu

With the proliferation of increasingly complicated Deep Learning architectures, data synthesis is a highly promising technique to address the demand of data-hungry models. However, reliably assessing the quality of a 'synthesiser' model's…

Machine Learning · Computer Science 2025-05-05 Julia A. Meister , Khuong An Nguyen

We develop a novel algorithm, Predictive Hierarchical Clustering (PHC), for agglomerative hierarchical clustering of current procedural terminology (CPT) codes. Our predictive hierarchical clustering aims to cluster subgroups, not…

Methodology · Statistics 2017-08-03 Elizabeth C. Lorenzi , Stephanie L. Brown , Zhifei Sun , Katherine Heller

Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for…

Machine Learning · Statistics 2017-03-09 Rajiv Khanna , Ethan Elenberg , Alexandros G. Dimakis , Sahand Negahban , Joydeep Ghosh

We consider the problem of late multi-modal fusion for discriminative learning. Motivated by noisy, multi-source domains that require understanding the reliability of each data source, we explore the notion of credibility in the context of…

Machine Learning · Computer Science 2024-07-18 Sahil Sidheekh , Pranuthi Tenali , Saurabh Mathur , Erik Blasch , Kristian Kersting , Sriraam Natarajan

The research area of algorithms with predictions has seen recent success showing how to incorporate machine learning into algorithm design to improve performance when the predictions are correct, while retaining worst-case guarantees when…

Machine Learning · Computer Science 2022-12-06 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

Model merging offers an effective strategy to combine the strengths of multiple finetuned models into a unified model that preserves the specialized capabilities of each. Existing methods merge models in a global manner, performing…

Machine Learning · Computer Science 2025-01-08 Yifei He , Yuzheng Hu , Yong Lin , Tong Zhang , Han Zhao

In this paper we propose an extension of the notion of deviation-based aggregation function tailored to aggregate multidimensional data. Our objective is both to improve the results obtained by other methods that try to select the best…

Classical trust region methods were designed to solve problems in which function and gradient information are exact. This paper considers the case when there are bounded errors (or noise) in the above computations and proposes a simple…

Optimization and Control · Mathematics 2022-01-05 Shigeng Sun , Jorge Nocedal

Data-driven approaches such as deep learning can result in predictive models for material properties with exceptional accuracy and efficiency. However, in many applications, data is sparse, severely limiting their accuracy and…

Machine Learning · Computer Science 2025-10-29 Robert J Appleton , Brian C Barnes , Alejandro Strachan

The Progressive-X algorithm, Prog-X in short, is proposed for geometric multi-model fitting. The method interleaves sampling and consolidation of the current data interpretation via repetitive hypothesis proposal, fast rejection, and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-07 Daniel Barath , Jiri Matas

With promising empirical performance across a wide range of applications, synthetic data augmentation appears a viable solution to data scarcity and the demands of increasingly data-intensive models. Its effectiveness lies in expanding the…

Machine Learning · Computer Science 2026-02-02 Zixuan Wu , So Won Jeong , Yating Liu , Yeo Jin Jung , Claire Donnat