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We propose a systematic procedure for the approximation of density functionals in density functional theory that consists of two parts. First, for the efficient approximation of a general density functional, we introduce an efficient ansatz…

Strongly Correlated Electrons · Physics 2016-08-29 Michael Lubasch , Johanna I. Fuks , Heiko Appel , Angel Rubio , J. Ignacio Cirac , Mari-Carmen Bañuls

Multi-task learning of dense prediction tasks, by sharing both the encoder and decoder, as opposed to sharing only the encoder, provides an attractive front to increase both accuracy and computational efficiency. When the tasks are similar,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Naresh Kumar Gurulingan , Elahe Arani , Bahram Zonooz

Machine learning techniques are used in a wide range of domains. However, machine learning models often suffer from the problem of over-fitting. Many data augmentation methods have been proposed to tackle such a problem, and one of them is…

Machine Learning · Statistics 2021-06-21 Masanari Kimura

Fine-tuning pre-trained models for downstream tasks is a widely adopted technique known for its adaptability and reliability across various domains. Despite its conceptual simplicity, fine-tuning entails several troublesome engineering…

Artificial Intelligence · Computer Science 2024-12-30 Chaeyun Jang , Hyungi Lee , Jungtaek Kim , Juho Lee

Multi-step time-series prediction is an essential supportive step for decision-makers in several industrial areas. Artificial intelligence techniques, which use a neural network component in various forms, have recently frequently been used…

Machine Learning · Computer Science 2025-12-11 Tony Salloom , Okyay Kaynak , Xinbo Yub , Wei He

Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of clusters to be used in GBP has remained more of an art then a…

Artificial Intelligence · Computer Science 2012-07-19 Max Welling

Bayesian predictive synthesis (BPS) provides a method for combining multiple predictive distributions based on agent/expert opinion analysis theory and encompasses a range of existing density forecast pooling methods. The key ingredient in…

Econometrics · Economics 2023-11-22 Tony Chernis , Niko Hauzenberger , Florian Huber , Gary Koop , James Mitchell

In the era of large language models, model merging is a promising way to combine multiple task-specific models into a single multitask model without extra training. However, two challenges remain: (a) interference between different models…

Computation and Language · Computer Science 2024-10-15 Zhenyi Lu , Chenghao Fan , Wei Wei , Xiaoye Qu , Dangyang Chen , Yu Cheng

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

There have been many attempts to leverage multiple diffusion models for collaborative generation, extending beyond the original domain. A prominent approach involves synchronizing multiple diffusion trajectories by mixing the estimated…

Machine Learning · Computer Science 2025-06-04 Hyunjun Lee , Hyunsoo Lee , Sookwan Han

Probabilistic mixture models have been widely used for different machine learning and pattern recognition tasks such as clustering, dimensionality reduction, and classification. In this paper, we focus on trying to solve the most common…

Machine Learning · Computer Science 2020-04-08 Gustavo A Valencia-Zapata , Daniel Mejia , Gerhard Klimeck , Michael Zentner , Okan Ersoy

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

Machine Learning · Computer Science 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

The fine-tuning of pre-trained language models has resulted in the widespread availability of task-specific models. Model merging offers an efficient way to create multi-task models by combining these fine-tuned models at the parameter…

Computation and Language · Computer Science 2025-04-29 Sanwoo Lee , Jiahao Liu , Qifan Wang , Jingang Wang , Xunliang Cai , Yunfang Wu

Traditional optimization methods rely on the use of single-precision floating point arithmetic, which can be costly in terms of memory size and computing power. However, mixed precision optimization techniques leverage the use of both…

Machine Learning · Computer Science 2023-09-25 Basile Lewandowski , Atli Kosson

Two of the most widely used electronic structure theory methods, namely Hartree-Fock and Kohn-Sham density functional theory, both requires the iterative solution of a set of Schr\"odinger-like equations. The speed of convergence of such…

Chemical Physics · Physics 2024-06-06 S. Hazra , U. Patil , S. Sanvito

Although Bayesian density estimation using discrete mixtures has good performance in modest dimensions, there is a lack of statistical and computational scalability to high-dimensional multivariate cases. To combat the curse of…

Methodology · Statistics 2014-10-29 Ye Wang , Antonio Canale , David Dunson

In this paper, we employ fixed point theory and semidefinite programming to compute the performance bounds on convex block-sparsity recovery algorithms. As a prerequisite for optimal sensing matrix design, a computable performance bound…

Information Theory · Computer Science 2011-10-06 Gongguo Tang , Arye Nehorai

We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

Optimization and Control · Mathematics 2023-10-30 Donato Maragno , Holly Wiberg , Dimitris Bertsimas , S. Ilker Birbil , Dick den Hertog , Adejuyigbe Fajemisin

Many applications using large datasets require efficient methods for minimizing a proximable convex function subject to satisfying a set of linear constraints within a specified tolerance. For this task, we present a proximal projection…

Optimization and Control · Mathematics 2024-12-10 Howard Heaton

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