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Machine Unlearning aims to remove undesired information from trained models without requiring full retraining from scratch. Despite recent advancements, their underlying loss landscapes and optimization dynamics received less attention. In…

机器学习 · 计算机科学 2025-04-10 Jiali Cheng , Hadi Amiri

We extend the concept of loss landscape mode connectivity to the input space of deep neural networks. Mode connectivity was originally studied within parameter space, where it describes the existence of low-loss paths between different…

机器学习 · 计算机科学 2024-09-10 Jakub Vrabel , Ori Shem-Ur , Yaron Oz , David Krueger

Mode connectivity is a recently introduced frame- work that empirically establishes the connected- ness of minima by finding a high accuracy curve between two independently trained models. To investigate the limits of this setup, we examine…

机器学习 · 计算机科学 2018-06-20 Akhilesh Gotmare , Nitish Shirish Keskar , Caiming Xiong , Richard Socher

We study neural network loss landscapes through the lens of mode connectivity, the observation that minimizers of neural networks retrieved via training on a dataset are connected via simple paths of low loss. Specifically, we ask the…

机器学习 · 计算机科学 2023-06-02 Ekdeep Singh Lubana , Eric J. Bigelow , Robert P. Dick , David Krueger , Hidenori Tanaka

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…

机器学习 · 计算机科学 2024-03-20 Linara Adilova , Maksym Andriushchenko , Michael Kamp , Asja Fischer , Martin Jaggi

Mode connectivity is a phenomenon where trained models are connected by a path of low loss. We reframe this in the context of Information Geometry, where neural networks are studied as spaces of parameterized distributions with curved…

机器学习 · 计算机科学 2023-08-25 Charlie Tan , Theodore Long , Sarah Zhao , Rudolf Laine

Recent work has revealed many intriguing empirical phenomena in neural network training, despite the poorly understood and highly complex loss landscapes and training dynamics. One of these phenomena, Linear Mode Connectivity (LMC), has…

机器学习 · 计算机科学 2023-11-14 Zhanpeng Zhou , Yongyi Yang , Xiaojiang Yang , Junchi Yan , Wei Hu

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…

机器学习 · 计算机科学 2023-10-02 Tailin Zhou , Jun Zhang , Danny H. K. Tsang

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…

机器学习 · 计算机科学 2024-04-10 Zhanran Lin , Puheng Li , Lei Wu

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…

机器学习 · 计算机科学 2025-02-17 Ryuichi Kanoh , Mahito Sugiyama

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:…

机器学习 · 计算机科学 2021-10-22 Quynh Nguyen , Pierre Brechet , Marco Mondelli

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.…

机器学习 · 计算机科学 2026-03-09 Akira Ito , Masanori Yamada , Daiki Chijiwa , Atsutoshi Kumagai

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…

机器学习 · 计算机科学 2025-02-19 Bingheng Li , Zhikai Chen , Haoyu Han , Shenglai Zeng , Jingzhe Liu , Jiliang Tang

Mode connectivity is a surprising phenomenon in the loss landscape of deep nets. Optima -- at least those discovered by gradient-based optimization -- turn out to be connected by simple paths on which the loss function is almost constant.…

机器学习 · 计算机科学 2020-01-07 Rohith Kuditipudi , Xiang Wang , Holden Lee , Yi Zhang , Zhiyuan Li , Wei Hu , Sanjeev Arora , Rong Ge

Deep ensemble is a simple yet powerful way to improve the performance of deep neural networks. Under this motivation, recent works on mode connectivity have shown that parameters of ensembles are connected by low-loss subspaces, and one can…

机器学习 · 计算机科学 2023-06-21 EungGu Yun , Hyungi Lee , Giung Nam , Juho Lee

Recent work on mode connectivity in the loss landscape of deep neural networks has demonstrated that the locus of (sub-)optimal weight vectors lies on continuous paths. In this work, we train a neural network that serves as a hypernetwork,…

机器学习 · 统计学 2019-05-09 Lior Deutsch , Erik Nijkamp , Yu Yang

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

机器学习 · 计算机科学 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

Recent years have witnessed the prevalent application of pre-trained language models (PLMs) in NLP. From the perspective of parameter space, PLMs provide generic initialization, starting from which high-performance minima could be found.…

计算与语言 · 计算机科学 2022-10-26 Yujia Qin , Cheng Qian , Jing Yi , Weize Chen , Yankai Lin , Xu Han , Zhiyuan Liu , Maosong Sun , Jie Zhou

The energy landscape of high-dimensional non-convex optimization problems is crucial to understanding the effectiveness of modern deep neural network architectures. Recent works have experimentally shown that two different solutions found…

机器学习 · 计算机科学 2024-03-04 Damien Ferbach , Baptiste Goujaud , Gauthier Gidel , Aymeric Dieuleveut

One practice of employing deep neural networks is to apply the same architecture to all the input instances. However, a fixed architecture may not be representative enough for data with high diversity. To promote the model capacity,…

计算机视觉与模式识别 · 计算机科学 2020-10-05 Kun Yuan , Quanquan Li , Dapeng Chen , Aojun Zhou , Junjie Yan
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