activity
20132026
most citedWide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descent

290 citations · 701 across the 29 of their papers we have counts for

collaborators

30 papers

cs.CL2026★ 3 cited

Gemma 4 Technical Report

Gemma Team, Sherif El Abd, Vaibhav Aggarwal +320

We introduce Gemma 4, a new generation of open-weight, natively multimodal language models in the Gemma model family. Designed to advance compute efficiency and reasoning, the Gemm…

cs.LG2025

Scaling Collapse Reveals Universal Dynamics in Compute-Optimally Trained Neural Networks

Shikai Qiu, Lechao Xiao, Andrew Gordon Wilson +2

What scaling limits govern neural network training dynamics when model size and training time grow in tandem? We show that despite the complex interactions between architecture, tr…

cs.LG2024★ 2 cited

Rethinking Conventional Wisdom in Machine Learning: From Generalization to Scaling

Lechao Xiao

The remarkable success of large language pretraining and the discovery of scaling laws signify a paradigm shift in machine learning. Notably, the primary objective has evolved from…

cs.CL2024★ 2 cited

Training Language Models on the Knowledge Graph: Insights on Hallucinations and Their Detectability

Jiri Hron, Laura Culp, Gamaleldin Elsayed +28

While many capabilities of language models (LMs) improve with increased training budget, the influence of scale on hallucinations is not yet fully understood. Hallucinations come i…

cs.LG2024★ 1 cited

Scaling Exponents Across Parameterizations and Optimizers

Katie Everett, Lechao Xiao, Mitchell Wortsman +8

Robust and effective scaling of models from small to large width typically requires the precise adjustment of many algorithmic and architectural details, such as parameterization a…

stat.ML2024★ 1 cited

4+3 Phases of Compute-Optimal Neural Scaling Laws

Elliot Paquette, Courtney Paquette, Lechao Xiao +1

We consider the solvable neural scaling model with three parameters: data complexity, target complexity, and model-parameter-count. We use this neural scaling model to derive new p…

cs.LG2023★ 7 cited

Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Models

Avi Singh, John D. Co-Reyes, Rishabh Agarwal +38

Fine-tuning language models~(LMs) on human-generated data remains a prevalent practice. However, the performance of such models is often limited by the quantity and diversity of hi…

cs.CL2023

Frontier Language Models are not Robust to Adversarial Arithmetic, or "What do I need to say so you agree 2+2=5?

C. Daniel Freeman, Laura Culp, Aaron Parisi +27

We introduce and study the problem of adversarial arithmetic, which provides a simple yet challenging testbed for language model alignment. This problem is comprised of arithmetic…

cs.LG2023★ 4 cited

Small-scale proxies for large-scale Transformer training instabilities

Mitchell Wortsman, Peter J. Liu, Lechao Xiao +13

Teams that have trained large Transformer-based models have reported training instabilities at large scale that did not appear when training with the same hyperparameters at smalle…

cs.LG2022★ 4 cited

Fast Neural Kernel Embeddings for General Activations

Insu Han, Amir Zandieh, Jaehoon Lee +3

Infinite width limit has shed light on generalization and optimization aspects of deep learning by establishing connections between neural networks and kernel methods. Despite thei…

cs.LG2022★ 4 cited

Synergy and Symmetry in Deep Learning: Interactions between the Data, Model, and Inference Algorithm

Lechao Xiao, Jeffrey Pennington

Although learning in high dimensions is commonly believed to suffer from the curse of dimensionality, modern machine learning methods often exhibit an astonishing power to tackle a…

cs.LG2022

Precise Learning Curves and Higher-Order Scaling Limits for Dot Product Kernel Regression

Lechao Xiao, Hong Hu, Theodor Misiakiewicz +2

As modern machine learning models continue to advance the computational frontier, it has become increasingly important to develop precise estimates for expected performance improve…

cs.LG2021★ 4 cited

Eigenspace Restructuring: a Principle of Space and Frequency in Neural Networks

Lechao Xiao

Understanding the fundamental principles behind the massive success of neural networks is one of the most important open questions in deep learning. However, due to the highly comp…

cs.LG2021★ 21 cited

Dataset Distillation with Infinitely Wide Convolutional Networks

Timothy Nguyen, Roman Novak, Lechao Xiao +1

The effectiveness of machine learning algorithms arises from being able to extract useful features from large amounts of data. As model and dataset sizes increase, dataset distilla…

stat.ML2020★ 3 cited

Exploring the Uncertainty Properties of Neural Networks' Implicit Priors in the Infinite-Width Limit

Ben Adlam, Jaehoon Lee, Lechao Xiao +2

Modern deep learning models have achieved great success in predictive accuracy for many data modalities. However, their application to many real-world tasks is restricted by poor u…

cs.LG2020★ 39 cited

Finite Versus Infinite Neural Networks: an Empirical Study

Jaehoon Lee, Samuel S. Schoenholz, Jeffrey Pennington +4

We perform a careful, thorough, and large scale empirical study of the correspondence between wide neural networks and kernel methods. By doing so, we resolve a variety of open que…

cs.LG2020★ 13 cited

The Surprising Simplicity of the Early-Time Learning Dynamics of Neural Networks

Wei Hu, Lechao Xiao, Ben Adlam +1

Modern neural networks are often regarded as complex black-box functions whose behavior is difficult to understand owing to their nonlinear dependence on the data and the nonconvex…

cs.LG2020★ 34 cited

Provable Benefit of Orthogonal Initialization in Optimizing Deep Linear Networks

Wei Hu, Lechao Xiao, Jeffrey Pennington

The selection of initial parameter values for gradient-based optimization of deep neural networks is one of the most impactful hyperparameter choices in deep learning systems, affe…

stat.ML2019★ 57 cited

Neural Tangents: Fast and Easy Infinite Neural Networks in Python

Roman Novak, Lechao Xiao, Jiri Hron +4

Neural Tangents is a library designed to enable research into infinite-width neural networks. It provides a high-level API for specifying complex and hierarchical neural network ar…

cs.LG2019★ 14 cited

Disentangling Trainability and Generalization in Deep Neural Networks

Lechao Xiao, Jeffrey Pennington, Samuel S. Schoenholz

A longstanding goal in the theory of deep learning is to characterize the conditions under which a given neural network architecture will be trainable, and if so, how well it might…

math.CA2019

Oscillatory Loomis-Whitney and Projections of Sublevel Sets

Maxim Gilula, Kevin O'Neill, Lechao Xiao

We consider an oscillatory integral operator with Loomis-Whitney multilinear form. The phase is real analytic in a neighborhood of the origin in and satisfies a nond…

stat.ML2019★ 290 cited

Wide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descent

Jaehoon Lee, Lechao Xiao, Samuel S. Schoenholz +4

A longstanding goal in deep learning research has been to precisely characterize training and generalization. However, the often complex loss landscapes of neural networks have mad…

stat.ML2018★ 149 cited

Bayesian Deep Convolutional Networks with Many Channels are Gaussian Processes

Roman Novak, Lechao Xiao, Jaehoon Lee +6

There is a previously identified equivalence between wide fully connected neural networks (FCNs) and Gaussian processes (GPs). This equivalence enables, for instance, test set pred…

stat.ML2018★ 37 cited

Dynamical Isometry and a Mean Field Theory of CNNs: How to Train 10,000-Layer Vanilla Convolutional Neural Networks

Lechao Xiao, Yasaman Bahri, Jascha Sohl-Dickstein +2

In recent years, state-of-the-art methods in computer vision have utilized increasingly deep convolutional neural network architectures (CNNs), with some of the most successful mod…