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The presence of linear paths in parameter space between two different network solutions in certain cases, i.e., linear mode connectivity (LMC), has garnered interest from both theoretical and practical fronts. There has been significant…

Machine Learning · Computer Science 2024-06-25 Sidak Pal Singh , Linara Adilova , Michael Kamp , Asja Fischer , Bernhard Schölkopf , Thomas Hofmann

Linear Mode Connectivity (LMC) refers to the phenomenon that performance remains consistent for linearly interpolated models in the parameter space. For independently optimized model pairs from different random initializations, achieving…

Machine Learning · Computer Science 2025-02-17 Ryuichi Kanoh , Mahito Sugiyama

Linear mode-connectivity (LMC) (or lack thereof) is one of the intriguing characteristics of neural network loss landscapes. While empirically well established, it unfortunately still lacks a proper theoretical understanding. Even worse,…

Machine Learning · Computer Science 2023-12-18 Gul Sena Altintas , Gregor Bachmann , Lorenzo Noci , Thomas Hofmann

The phenomenon of linear mode connectivity (LMC) links several aspects of deep learning, including training stability under noisy stochastic gradients, the smoothness and generalization of local minima (basins), the similarity and…

Machine Learning · Computer Science 2025-11-07 C. Hepburn , T. Zielke , A. P. Raulf

Understanding the geometry of neural network loss landscapes is a central question in deep learning, with implications for generalization and optimization. A striking phenomenon is linear mode connectivity (LMC), where independently trained…

Machine Learning · Computer Science 2025-11-14 Alexander Theus , Alessandro Cabodi , Sotiris Anagnostidis , Antonio Orvieto , Sidak Pal Singh , Valentina Boeva

Recently, Ainsworth et al. empirically demonstrated that, given two independently trained models, applying a parameter permutation that preserves the input-output behavior allows the two models to be connected by a low-loss linear path.…

Machine Learning · Computer Science 2026-03-09 Akira Ito , Masanori Yamada , Daiki Chijiwa , Atsutoshi Kumagai

Federated learning (FL) involves multiple heterogeneous clients collaboratively training a global model via iterative local updates and model fusion. The generalization of FL's global model has a large gap compared with centralized…

Machine Learning · Computer Science 2025-05-27 Zexi Li , Jie Lin , Zhiqi Li , Didi Zhu , Tao Shen , Tao Lin , Chao Wu , Nicholas D. Lane

In the contemporary of deep learning, where models often grapple with the challenge of simultaneously achieving robustness against adversarial attacks and strong generalization capabilities, this study introduces an innovative Local Feature…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Yunpeng Gong , Chuangliang Zhang , Yongjie Hou , Lifei Chen , Min Jiang

Empirical studies have shown that continuous low-loss paths can be constructed between independently trained neural network models. This phenomenon, known as mode connectivity, refers to the existence of such paths between distinct…

Machine Learning · Computer Science 2026-05-29 Yongding Tian , Zaid Al-Ars , Maksim Kitsak , Peter Hofstee

Averaging neural network parameters is an intuitive method for fusing the knowledge of two independent models. It is most prominently used in federated learning. If models are averaged at the end of training, this can only lead to a good…

Machine Learning · Computer Science 2024-03-20 Linara Adilova , Maksym Andriushchenko , Michael Kamp , Asja Fischer , Martin Jaggi

We propose a new type of leaf node for use in Symbolic Regression (SR) that performs linear combinations of feature variables (LCF). These nodes can be handled in three different modes -- an unsynchronized mode, where all LCFs are free to…

Neural and Evolutionary Computing · Computer Science 2017-04-20 Jan Žegklitz , Petr Pošík

A fundamental challenge in understanding graph neural networks (GNNs) lies in characterizing their optimization dynamics and loss landscape geometry, critical for improving interpretability and robustness. While mode connectivity, a lens…

Machine Learning · Computer Science 2025-02-19 Bingheng Li , Zhikai Chen , Haoyu Han , Shenglai Zeng , Jingzhe Liu , Jiliang Tang

It is widely accepted in the mode connectivity literature that when two neural networks are trained similarly on the same data, they are connected by a path through parameter space over which test set accuracy is maintained. Under some…

Machine Learning · Computer Science 2023-01-24 Jeevesh Juneja , Rachit Bansal , Kyunghyun Cho , João Sedoc , Naomi Saphra

Federated learning (FL) enables multiple clients to train a model while keeping their data private collaboratively. Previous studies have shown that data heterogeneity between clients leads to drifts across client updates. However, there…

Machine Learning · Computer Science 2023-10-02 Tailin Zhou , Jun Zhang , Danny H. K. Tsang

The question of how and why the phenomenon of mode connectivity occurs in training deep neural networks has gained remarkable attention in the research community. From a theoretical perspective, two possible explanations have been proposed:…

Machine Learning · Computer Science 2021-10-22 Quynh Nguyen , Pierre Brechet , Marco Mondelli

Neural networks have emerged as a powerful paradigm for tasks in high energy physics, yet their opaque training process renders them as a black box. In contrast, the traditional cut flow method offers simplicity and interpretability but…

Machine Learning · Computer Science 2025-12-18 Jing Li , Hao Sun

Continual (sequential) training and multitask (simultaneous) training are often attempting to solve the same overall objective: to find a solution that performs well on all considered tasks. The main difference is in the training regimes,…

Machine Learning · Computer Science 2020-10-12 Seyed Iman Mirzadeh , Mehrdad Farajtabar , Dilan Gorur , Razvan Pascanu , Hassan Ghasemzadeh

One of the most intriguing findings in the structure of neural network landscape is the phenomenon of mode connectivity: For two typical global minima, there exists a path connecting them without barrier. This concept of mode connectivity…

Machine Learning · Computer Science 2024-04-10 Zhanran Lin , Puheng Li , Lei Wu

In recent years, Graph Neural Networks (GNNs) have shown superior performance on diverse applications on real-world datasets. To improve the model capacity and alleviate the over-smoothing problem, several methods proposed to incorporate…

Machine Learning · Computer Science 2021-12-28 Lanning Wei , Huan Zhao , Zhiqiang He

To understand the biological characteristics of neurological disorders with functional connectivity (FC), recent studies have widely utilized deep learning-based models to identify the disease and conducted post-hoc analyses via explainable…

Machine Learning · Computer Science 2023-10-09 Eunsong Kang , Da-woon Heo , Jiwon Lee , Heung-Il Suk
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