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Fine-tuning pre-trained models with custom data leads to numerous expert models on specific tasks. Merging models into one universal model to empower multi-task ability refraining from data leakage has gained popularity. With the expansion…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Fanhu Zeng , Haiyang Guo , Fei Zhu , Li Shen , Hao Tang

The Laplace approximation is sometimes not sufficiently accurate for smoothing parameter estimation in generalized additive mixed models. A novel estimation strategy is proposed that solves this problem and leads to estimates exhibiting the…

Methodology · Statistics 2025-04-15 Alex Stringer

Adapting general-purpose language models to new skills is currently an expensive process that must be repeated as new instruction datasets targeting new skills are created, or can cause the models to forget older skills. In this work, we…

Computation and Language · Computer Science 2024-10-18 Jacob Morrison , Noah A. Smith , Hannaneh Hajishirzi , Pang Wei Koh , Jesse Dodge , Pradeep Dasigi

In many economic applications, multiple source datasets are available, but their effective combination is challenging due to heterogeneity across datasets. To address this problem, we study a parameter-transfer framework that shares only…

Methodology · Statistics 2026-05-12 Fen Jiang , Wenhui Li , Xinyu Zhang

Model merging enables the combination of multiple specialized expert models into a single model capable of performing multiple tasks. However, the benefits of merging an increasing amount of specialized experts generally lead to diminishing…

Machine Learning · Computer Science 2025-12-23 Ronald Skorobogat , Karsten Roth , Mariana-Iuliana Georgescu

Model merging has emerged as a promising technique for combining multiple fine-tuned models into a single multitask model without retraining. However, the factors that determine whether merging will succeed or fail remain poorly understood.…

Computation and Language · Computer Science 2026-01-13 Adir Rahamim , Asaf Yehudai , Boaz Carmeli , Leshem Choshen , Yosi Mass , Yonatan Belinkov

Model merging efficiently aggregates capabilities from multiple fine-tuned models into a single one, operating purely in parameter space without original data or expensive re-computation. Despite empirical successes, a unified theory for…

Machine Learning · Computer Science 2026-03-20 Qinglun Li , Anke Tang , Miao Zhang , Mengzhu Wang , Quanjun Yin , Li Shen

Multi-task learning (MTL) aims to empower a model to tackle multiple tasks simultaneously. A recent development known as task arithmetic has revealed that several models, each fine-tuned for distinct tasks, can be directly merged into a…

Machine Learning · Computer Science 2024-05-29 Enneng Yang , Zhenyi Wang , Li Shen , Shiwei Liu , Guibing Guo , Xingwei Wang , Dacheng Tao

In mixture model-based clustering applications, it is common to fit several models from a family and report clustering results from only the `best' one. In such circumstances, selection of this best model is achieved using a model selection…

Methodology · Statistics 2017-10-09 Yuhong Wei , Paul D. McNicholas

Bayesian inference is attractive for its coherence and good frequentist properties. However, it is a common experience that eliciting a honest prior may be difficult and, in practice, people often take an {\em empirical Bayes} approach,…

Statistics Theory · Mathematics 2012-04-09 Sonia Petrone , Judith Rousseau , Catia Scricciolo

Model averaging has gained significant attention in recent years due to its ability of fusing information from different models. The critical challenge in frequentist model averaging is the choice of weight vector. The bootstrap method,…

Methodology · Statistics 2024-12-10 Minghui Song , Guohua Zou , Alan T. K. Wan

Bayesian inference on non-Gaussian data is often non-analytic and requires computationally expensive approximations such as sampling or variational inference. We propose an approximate inference framework primarily designed to be…

Machine Learning · Computer Science 2022-10-12 Marius Hobbhahn , Philipp Hennig

We propose a method for estimating the Fisher score--the gradient of the log-likelihood with respect to model parameters--using score matching. By introducing a latent parameter model, we show that the Fisher score can be learned by…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-11 Ce Sui , Shivam Pandey , Benjamin D. Wandelt

The success of large language models has garnered widespread attention for model merging techniques, especially training-free methods which combine model capabilities within the parameter space. However, two challenges remain: (1) uniform…

Artificial Intelligence · Computer Science 2025-03-28 Jiaqi Han , Jingwen Ye , Shunyu Liu , Haofei Zhang , Jie Song , Zunlei Feng , Mingli Song

Model merging is an efficient post-training strategy for integrating knowledge from multiple finetuned checkpoints of a shared foundation model. Existing methods operate in the parameter space, combining task vectors to mitigate conflicts,…

Machine Learning · Computer Science 2025-10-27 Kexuan Shi , Yandong Wen , Weiyang Liu

Mixture autoregressive (MAR) models provide a flexible way to model time series with predictive distributions which depend on the recent history of the process and are able to accommodate asymmetry and multimodality. Bayesian inference for…

Methodology · Statistics 2020-06-22 Davide Ravagli , Georgi N. Boshnakov

Regression Mean (RegMean), an approach that formulates model merging as a linear regression problem, aims to find the optimal weights for each linear layer in the merged model by minimizing the discrepancy in predictions between the merged…

Machine Learning · Computer Science 2026-04-28 The-Hai Nguyen , Dang Huu-Tien , Takeshi Suzuki , Le-Minh Nguyen

Model selection strategies have been routinely employed to determine a model for data analysis in statistics, and further study and inference then often proceed as though the selected model were the true model that were known a priori. This…

Methodology · Statistics 2018-02-13 Priyam Mitra , Heng Lian , Ritwik Mitra , Hua Liang , Min-ge Xie

Federated learning faces significant challenges in scenarios with heterogeneous data distributions and adverse network conditions, such as delays, packet loss, and data poisoning attacks. This paper proposes a novel method based on the…

Machine Learning · Computer Science 2025-01-28 Mohammad Ghabel Rahmat , Majid Khalilian

Ordinary differential equations are arguably the most popular and useful mathematical tool for describing physical and biological processes in the real world. Often, these physical and biological processes are observed with errors, in which…

Methodology · Statistics 2016-07-26 Sarat C. Dass , Jaeyong Lee , Kyoungjae Lee , Jonghun Park
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