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Studying neural network loss landscapes provides insights into the nature of the underlying optimization problems. Unfortunately, loss landscapes are notoriously difficult to visualize in a human-comprehensible fashion. One common way to…

Machine Learning · Computer Science 2022-02-04 Tiffany Vlaar , Jonathan Frankle

There are many surprising and perhaps counter-intuitive properties of optimization of deep neural networks. We propose and experimentally verify a unified phenomenological model of the loss landscape that incorporates many of them. High…

Machine Learning · Computer Science 2019-06-12 Stanislav Fort , Stanislaw Jastrzebski

Model merging combines the parameters of multiple neural networks into a single model without additional training. As fine-tuned large language models (LLMs) proliferate, merging offers a computationally efficient alternative to ensembles…

Computation and Language · Computer Science 2026-03-31 Mingyang Song , Mao Zheng

Model merging aims to combine multiple expert models into a more capable single model, offering benefits such as reduced storage and serving costs, improved generalization, and support for decentralized model development. Despite its…

Machine Learning · Computer Science 2024-10-07 Prateek Yadav , Tu Vu , Jonathan Lai , Alexandra Chronopoulou , Manaal Faruqui , Mohit Bansal , Tsendsuren Munkhdalai

Model merging aims to build a multi-task learner by combining the parameters of individually fine-tuned models without additional training. While a straightforward approach is to average model parameters across tasks, this often results in…

Machine Learning · Computer Science 2025-04-04 Jiho Choi , Donggyun Kim , Chanhyuk Lee , Seunghoon Hong

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

Determining the optimal model for a given task often requires training multiple models from scratch, which becomes impractical as dataset and model sizes grow. A more efficient alternative is to expand smaller pre-trained models, but this…

Machine Learning · Computer Science 2025-06-17 Pranshu Malviya , Jerry Huang , Aristide Baratin , Quentin Fournier , Sarath Chandar

We present multi-point optimization: an optimization technique that allows to train several models simultaneously without the need to keep the parameters of each one individually. The proposed method is used for a thorough empirical…

Machine Learning · Computer Science 2025-11-18 Ivan Skorokhodov , Mikhail Burtsev

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

Model merging integrates the weights of multiple task-specific models into a single multi-task model. Despite recent interest in the problem, a significant performance gap between the combined and single-task models remains. In this paper,…

Recent numerical experiments have demonstrated that the choice of optimization geometry used during training can impact generalization performance when learning expressive nonlinear model classes such as deep neural networks. These…

Machine Learning · Computer Science 2022-04-25 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

In this paper we study how the choice of loss functions of non-convex optimization problems affects their robustness and optimization landscape, through the study of noisy matrix sensing. In traditional regression tasks, mean squared error…

Machine Learning · Computer Science 2026-01-06 Xinyuan Song , Ziye Ma

We survey the model merging literature through the lens of loss landscape geometry to connect observations from empirical studies on model merging and loss landscape analysis to phenomena that govern neural network training and the…

Training large neural networks (NNs) requires optimizing high-dimensional data-dependent loss functions. The optimization landscape of these functions is often highly complex and textured, even fractal-like, with many spurious local minima,…

Machine Learning · Computer Science 2025-10-27 Mohammed Djameleddine Belgoumri , Mohamed Reda Bouadjenek , Hakim Hacid , Imran Razzak , Sunil Aryal

Selecting the best data mixture is critical for successful Supervised Fine-Tuning (SFT) of Multimodal Large Language Models. However, determining the optimal mixture weights across multiple domain-specific datasets remains a significant…

Machine Learning · Computer Science 2026-02-06 Davide Berasi , Matteo Farina , Massimiliano Mancini , Elisa Ricci

Model merging integrates multiple task-specific models into a single consolidated one. Recent research has made progress in improving merging performance for in-distribution or multi-task scenarios, but domain generalization in model…

Machine Learning · Computer Science 2026-03-10 Levy Chaves , Chao Zhou , Rebekka Burkholz , Eduardo Valle , Sandra Avila

Viewing neural network models in terms of their loss landscapes has a long history in the statistical mechanics approach to learning, and in recent years it has received attention within machine learning proper. Among other things, local…

Machine Learning · Computer Science 2021-12-14 Yaoqing Yang , Liam Hodgkinson , Ryan Theisen , Joe Zou , Joseph E. Gonzalez , Kannan Ramchandran , Michael W. Mahoney

Model merging dramatically reduces storage and computational resources by combining multiple expert models into a single multi-task model. Although recent model merging methods have shown promising results, they struggle to maintain…

Machine Learning · Computer Science 2025-06-04 Zijing Wang , Xingle Xu , Yongkang Liu , Yiqun Zhang , Peiqin Lin , Shi Feng , Xiaocui Yang , Daling Wang , Hinrich Schütze

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 combines knowledge from separately fine-tuned models, yet the factors driving its success remain poorly understood. While recent work treats mergeability as an intrinsic property of the models, we show with an…

Machine Learning · Computer Science 2026-05-27 Luca Zhou , Bo Zhao , Rose Yu , Emanuele Rodolà
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