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Training a neural network requires navigating a high-dimensional, non-convex loss surface to find parameters that minimize this loss. In many ways, it is surprising that optimizers such as stochastic gradient descent and ADAM can reliably…

机器学习 · 计算机科学 2026-02-06 Conor Rowan , Finn Murphy-Blanchard

Despite their effective use in various fields, many aspects of neural networks are poorly understood. One important way to investigate the characteristics of neural networks is to explore the loss landscape. However, most models produce a…

机器学习 · 计算机科学 2022-04-12 Aleksandar Doknic , Torsten Möller

Modern machine learning often relies on optimizing a neural network's parameters using a loss function to learn complex features. Beyond training, examining the loss function with respect to a network's parameters (i.e., as a loss…

Neural network training relies on our ability to find "good" minimizers of highly non-convex loss functions. It is well-known that certain network architecture designs (e.g., skip connections) produce loss functions that train easier, and…

机器学习 · 计算机科学 2018-11-08 Hao Li , Zheng Xu , Gavin Taylor , Christoph Studer , Tom Goldstein

In machine learning, a loss function measures the difference between model predictions and ground-truth (or target) values. For neural network models, visualizing how this loss changes as model parameters are varied can provide insights…

Characterizing the loss of a neural network with respect to model parameters, i.e., the loss landscape, can provide valuable insights into properties of that model. Various methods for visualizing loss landscapes have been proposed, but…

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…

机器学习 · 计算机科学 2019-06-12 Stanislav Fort , Stanislaw Jastrzebski

Many machine learning methods operate by inverting a neural network at inference time, which has become a popular technique for solving inverse problems in computer vision, robotics, and graphics. However, these methods often involve…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Ruoshi Liu , Chengzhi Mao , Purva Tendulkar , Hao Wang , Carl Vondrick

In this short paper, a neural network that is able to form a low dimensional topological hidden representation is explained. The neural network can be trained as an autoencoder, a classifier or mix of both, and produces different low…

机器学习 · 计算机科学 2020-06-16 Pitoyo Hartono

Recent work has established clear links between the generalization performance of trained neural networks and the geometry of their loss landscape near the local minima to which they converge. This suggests that qualitative and quantitative…

机器学习 · 计算机科学 2022-01-28 Stefan Horoi , Jessie Huang , Bastian Rieck , Guillaume Lajoie , Guy Wolf , Smita Krishnaswamy

Investigations into the loss landscapes of deep neural networks are often laborious. This work documents our user-driven approach to create a platform for semi-automating this process. LossPlot accepts data in the form of a csv, and allows…

机器学习 · 计算机科学 2021-12-01 Robert Bain , Mikhail Tokarev , Harsh Kothari , Rahul Damineni

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…

机器学习 · 计算机科学 2022-02-04 Tiffany Vlaar , Jonathan Frankle

The clear understanding of the non-convex landscape of neural network is a complex incomplete problem. This paper studies the landscape of linear (residual) network, the simplified version of the nonlinear network. By treating the gradient…

代数几何 · 数学 2021-02-09 Xiuyi Yang

This paper proposes LONER, the first real-time LiDAR SLAM algorithm that uses a neural implicit scene representation. Existing implicit mapping methods for LiDAR show promising results in large-scale reconstruction, but either require…

机器人学 · 计算机科学 2024-03-26 Seth Isaacson , Pou-Chun Kung , Mani Ramanagopal , Ram Vasudevan , Katherine A. Skinner

This paper presents a deep nonlinear metric learning framework for data visualization on an image dataset. We propose the Triangular Similarity and prove its equivalence to the Cosine Similarity in measuring a data pair. Based on this novel…

计算机视觉与模式识别 · 计算机科学 2016-12-28 Lilei Zheng , Ying Zhang , Stefan Duffner , Khalid Idrissi , Christophe Garcia , Atilla Baskurt

We present a class of novel optimisers for training neural networks that makes use of the Riemannian metric naturally induced when the loss landscape is embedded in higher-dimensional space. This is the same metric that underlies common…

机器学习 · 计算机科学 2025-09-05 Thomas R. Harvey

Understanding the structure of neural network loss surfaces, particularly the emergence of low-loss tunnels, is critical for advancing neural network theory and practice. In this paper, we propose a novel approach to directly embed loss…

机器学习 · 计算机科学 2025-03-06 Daniel Dold , Julius Kobialka , Nicolai Palm , Emanuel Sommer , David Rügamer , Oliver Dürr

Graph Neural Networks (GNNs) are powerful models for graph-structured data, with broad applications. However, the interplay between GNN parameter optimization, expressivity, and generalization remains poorly understood. We address this by…

机器学习 · 计算机科学 2025-09-16 Samir Moustafa , Lorenz Kummer , Simon Fetzel , Nils M. Kriege , Wilfried N. Gansterer

Machine Learning with Deep Neural Networks (DNNs) has become a successful tool in solving tasks across various fields of application. However, the complexity of DNNs makes it difficult to understand how they solve their learned task. To…

机器学习 · 计算机科学 2023-06-16 Valerie Krug , Raihan Kabir Ratul , Christopher Olson , Sebastian Stober

Recent advances in visual-language machine learning models have demonstrated exceptional ability to use natural language and understand visual scenes by training on large, unstructured datasets. However, this training paradigm cannot…

计算与语言 · 计算机科学 2025-08-01 Anthony C Davis , Burhan Sadiq , Tianmin Shu , Chien-Ming Huang
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