Notice: This website is continuously updated as new conference proceedings and journal volumes are published. Consequently, the figures presented here may differ from those reported in our publications.


A brief overview of our methodology is provided on the Methods page, along with references to publications documenting our approach and links to the code and data used in each study.


The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates.

The inductive bias of ReLU networks on orthogonally separable data

Authors: Mary Phuong, Christoph H Lampert

ICLR 2021 | Venue PDF | LLM Run Details | Input Tokens: 22,721 Total number of tokens sent to the LLM as input for this paper's analysis. | Output Tokens: 3,441 Total number of tokens produced by the LLM (including reasoning/thinking tokens) for this paper's analysis.

Reproducibility Variable Result LLM Response
Research Type Experimental In this section, we first verify that the theoretical result (Theorem 1) is predictive of experimental outcomes, even when some technical assumptions are violated. Second, we present evidence that a similar result may hold for deeper networks as well, although this goes beyond Theorem 1.
Researcher Affiliation Academia Mary Phuong & Christoph H. Lampert IST Austria Am Campus 1, 3400 Klosterneuburg, Austria EMAIL
Pseudocode No The paper does not contain any structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide any concrete access to source code for the methodology described.
Open Datasets Yes We experiment on the MNIST dataset subsetted to two classes, the digit 0 and the digit 1.
Dataset Splits No The paper mentions training on datasets but does not provide specific details on how the data was split into training, validation, and test sets with percentages or sample counts.
Hardware Specification No The paper does not explicitly describe the specific hardware used to run its experiments.
Software Dependencies No The paper mentions optimizers (Adam, SGD) and network types (ReLU, residual network) but does not provide specific version numbers for any software dependencies like programming languages or libraries.
Experiment Setup Yes We train by stochastic gradient descent with batch size 50 and a learning rate of 0.1 for 500 epochs. At initialisation, we multiply all weights by 0.05.