activity
20132026
most citedExact solutions to the nonlinear dynamics of learning in deep linear neural networks

978 citations · 1.6k across the 24 of their papers we have counts for

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11 papers · 1 filter

cs.LG2026

Parameter symmetries determine representational geometry in overparameterized nonlinear networks

Marvin Theiss, Lukas Braun, Andrew M. Saxe +1

Representations are routinely used across machine learning, psychology, and neuroscience to draw inferences about the computations of biological and artificial systems. Such infere…

cs.LG2026

Not all solutions are created equal: An analytical dissociation of functional and representational similarity in deep linear neural networks

Lukas Braun, Erin Grant, Andrew M. Saxe

A foundational principle of connectionism is that perception, action, and cognition emerge from parallel computations among simple, interconnected units that generate and rely on n…

cs.LG2024★ 1 cited

On The Specialization of Neural Modules

Devon Jarvis, Richard Klein, Benjamin Rosman +1

A number of machine learning models have been proposed with the goal of achieving systematic generalization: the ability to reason about new situations by combining aspects of prev…

cs.LG2022★ 12 cited

The Neural Race Reduction: Dynamics of Abstraction in Gated Networks

Andrew M. Saxe, Shagun Sodhani, Sam Lewallen

Our theoretical understanding of deep learning has not kept pace with its empirical success. While network architecture is known to be critical, we do not yet understand its effect…

cs.LG2022★ 1 cited

Know your audience: specializing grounded language models with listener subtraction

Aaditya K. Singh, David Ding, Andrew Saxe +2

Effective communication requires adapting to the idiosyncrasies of each communicative context--such as the common ground shared with each partner. Humans demonstrate this ability t…

cs.LG2021★ 8 cited

An Analytical Theory of Curriculum Learning in Teacher-Student Networks

Luca Saglietti, Stefano Sarao Mannelli, Andrew Saxe

In humans and animals, curriculum learning -- presenting data in a curated order - is critical to rapid learning and effective pedagogy. Yet in machine learning, curricula are not…

cs.LG2021★ 22 cited

Probing transfer learning with a model of synthetic correlated datasets

Federica Gerace, Luca Saglietti, Stefano Sarao Mannelli +2

Transfer learning can significantly improve the sample efficiency of neural networks, by exploiting the relatedness between a data-scarce target task and a data-abundant source tas…

cs.LG2018★ 245 cited

A mathematical theory of semantic development in deep neural networks

Andrew M. Saxe, James L. McClelland, Surya Ganguli

An extensive body of empirical research has revealed remarkable regularities in the acquisition, organization, deployment, and neural representation of human semantic knowledge, th…

cs.LG2018★ 1 cited

Are Efficient Deep Representations Learnable?

Maxwell Nye, Andrew Saxe

Many theories of deep learning have shown that a deep network can require dramatically fewer resources to represent a given function compared to a shallow network. But a question r…

cs.LG2018★ 56 cited

Energy-entropy competition and the effectiveness of stochastic gradient descent in machine learning

Yao Zhang, Andrew M. Saxe, Madhu S. Advani +1

Finding parameters that minimise a loss function is at the core of many machine learning methods. The Stochastic Gradient Descent algorithm is widely used and delivers state of the…

cs.LG2016★ 22 cited

Active Long Term Memory Networks

Tommaso Furlanello, Jiaping Zhao, Andrew M. Saxe +2

Continual Learning in artificial neural networks suffers from interference and forgetting when different tasks are learned sequentially. This paper introduces the Active Long Term…