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Model merging is an effective post-training strategy for composing capabilities in large language models without joint retraining. We study this in the supervised fine-tuning (SFT) stage, where multiple capability-based SFT checkpoints --…

Machine Learning · Computer Science 2025-09-16 Pouria Mahdavinia , Hamed Mahdavi , Niloofar Mireshghallah , Mehrdad Mahdavi

Large-scale deep learning models with a pretraining-finetuning paradigm have led to a surge of numerous task-specific models fine-tuned from a common pre-trained model. Recently, several research efforts have been made on merging these…

Machine Learning · Computer Science 2025-04-22 Yeoreum Lee , Jinwook Jung , Sungyong Baik

Model merging aims to efficiently combine the weights of multiple expert models, each trained on a specific task, into a single multi-task model, with strong performance across all tasks. When applied to all but the last layer of weights,…

Machine Learning · Computer Science 2024-10-17 Ekansh Sharma , Daniel M. Roy , Gintare Karolina Dziugaite

We propose Frank--Wolfe (FW) algorithms with an adaptive Bregman step-size strategy for smooth adaptable (also called: relatively smooth) (weakly-) convex functions. This means that the gradient of the objective function is not necessarily…

Optimization and Control · Mathematics 2026-02-19 Shota Takahashi , Sebastian Pokutta , Akiko Takeda

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

The Frank-Wolfe (FW) optimization algorithm has lately re-gained popularity thanks in particular to its ability to nicely handle the structured constraints appearing in machine learning applications. However, its convergence rate is known…

Optimization and Control · Mathematics 2015-11-19 Simon Lacoste-Julien , Martin Jaggi

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

In this paper, we consider large-scale linearly constrained composite convex optimization problem, whose objective is a sum of a smooth function and a possibly nonsmooth function. We propose a scalable \textbf{F}rank-\textbf{W}olfe based…

Optimization and Control · Mathematics 2015-10-13 Ya-Feng Liu , Xiangfeng Wang , Xin Liu , Shiqian Ma

Model merging combines multiple fine-tuned checkpoints into a single model without additional training, offering an attractive approach to reusing models and efficiently improving performance. However, it remains unclear whether the…

Computation and Language · Computer Science 2026-03-31 Oğuz Kağan Hitit , Leander Girrbach , Zeynep Akata

Deep model fusion/merging is an emerging technique that merges the parameters or predictions of multiple deep learning models into a single one. It combines the abilities of different models to make up for the biases and errors of a single…

Machine Learning · Computer Science 2023-09-28 Weishi Li , Yong Peng , Miao Zhang , Liang Ding , Han Hu , Li Shen

Multi-task learning (MTL) leverages a shared model to accomplish multiple tasks and facilitate knowledge transfer. Recent research on task arithmetic-based MTL demonstrates that merging the parameters of independently fine-tuned models can…

Machine Learning · Computer Science 2024-10-30 Li Shen , Anke Tang , Enneng Yang , Guibing Guo , Yong Luo , Lefei Zhang , Xiaochun Cao , Bo Du , Dacheng Tao

Merging multiple expert models offers a promising approach for performing multi-task learning without accessing their original data. Existing methods attempt to alleviate task conflicts by sparsifying task vectors or promoting orthogonality…

Machine Learning · Computer Science 2025-05-27 Yongxian Wei , Anke Tang , Li Shen , Zixuan Hu , Chun Yuan , Xiaochun Cao

While most current approaches rely on further training techniques, such as fine-tuning or reinforcement learning, to enhance model capacities, model merging stands out for its ability of improving models without requiring any additional…

Computation and Language · Computer Science 2025-05-26 Zehua Liu , Han Wu , Yuxuan Yao , Ruifeng She , Xiongwei Han , Tao Zhong , Mingxuan Yuan

Recent methods aim to merge neural networks (NNs) with identical architectures trained on different tasks into a single multi-task model. While most works focus on the simpler setup of merging NNs initialized from a common pre-trained…

Machine Learning · Computer Science 2025-08-18 Edan Kinderman , Itay Hubara , Haggai Maron , Daniel Soudry

Software reuse has long been recognized as a critical and widely studied topic in software engineering, offering substantial benefits in reducing development costs, improving software quality, and enhancing operational efficiency. This…

Software Engineering · Computer Science 2026-02-02 You Lu , Jiyang Zhang , Bihuan Chen , Chaofeng Sha , Dingji Wang , Xin Peng

Model merging combines task experts into one model and avoids joint training, retraining, or deploying many expert models, but the merged model often still underperforms task experts. We study this performance gap through feature drift, the…

Machine Learning · Computer Science 2026-05-14 Yanggan Gu , Shuo Cai , Zihao Wang , Wenjun Wang , Yuanyi Wang , Pengkai Wang , Sirui Huang , Su Lu , Jianmin Wu , Hongxia Yang

Model merging provides a cost-effective and data-efficient combination of specialized deep neural networks through parameter integration. This technique leverages expert models across downstream tasks without requiring retraining. Most…

Machine Learning · Computer Science 2025-10-17 Levy Chaves , Eduardo Valle , Sandra Avila

Foundation models update slowly due to resource-intensive training, whereas domain-specific models evolve rapidly between releases. Model merging seeks to combine multiple expert models into a single, more capable model, reducing storage…

Artificial Intelligence · Computer Science 2026-03-04 Yongxian Wei , Runxi Cheng , Weike Jin , Enneng Yang , Li Shen , Lu Hou , Sinan Du , Chun Yuan , Xiaochun Cao , Dacheng Tao

Owing to their low-complexity iterations, Frank-Wolfe (FW) solvers are well suited for various large-scale learning tasks. When block-separable constraints are present, randomized block FW (RB-FW) has been shown to further reduce complexity…

Optimization and Control · Mathematics 2017-11-22 Liang Zhang , Gang Wang , Daniel Romero , Georgios B. Giannakis

Minimizing a function over an intersection of convex sets is an important task in optimization that is often much more challenging than minimizing it over each individual constraint set. While traditional methods such as Frank-Wolfe (FW) or…

Optimization and Control · Mathematics 2018-04-11 Gauthier Gidel , Fabian Pedregosa , Simon Lacoste-Julien