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Recent data-driven approaches to scene interpretation predominantly pose inference as an end-to-end black-box mapping, commonly performed by a Convolutional Neural Network (CNN). However, decades of work on perceptual organization in both…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Chi Li , M. Zeeshan Zia , Quoc-Huy Tran , Xiang Yu , Gregory D. Hager , Manmohan Chandraker

Deep neural networks lack straightforward ways to incorporate domain knowledge and are notoriously considered black boxes. Prior works attempted to inject domain knowledge into architectures implicitly through data augmentation. Building on…

Machine Learning · Computer Science 2022-11-18 Emmanouil Theodosis , Demba Ba

The design of convolutional neural architectures that are exactly equivariant to continuous translations is an active field of research. It promises to benefit scientific computing, notably by making existing imaging systems more physically…

Computer Vision and Pattern Recognition · Computer Science 2025-06-19 Jérémy Scanvic , Quentin Barthélemy , Julián Tachella

How do neural networks trained over sequences acquire the ability to perform structured operations, such as arithmetic, geometric, and algorithmic computation? To gain insight into this question, we introduce the sequential group…

Machine Learning · Computer Science 2026-02-04 Giovanni Luca Marchetti , Daniel Kunin , Adele Myers , Francisco Acosta , Nina Miolane

Using symmetry as an inductive bias in deep learning has been proven to be a principled approach for sample-efficient model design. However, the relationship between symmetry and the imperative for equivariance in neural networks is not…

Machine Learning · Computer Science 2024-03-25 Sékou-Oumar Kaba , Siamak Ravanbakhsh

The ability to reason with natural language is a fundamental prerequisite for many NLP tasks such as information extraction, machine translation and question answering. To quantify this ability, systems are commonly tested whether they can…

Computation and Language · Computer Science 2016-06-07 Vladyslav Kolesnyk , Tim Rocktäschel , Sebastian Riedel

We review a novel neural network architecture called lattice gauge equivariant convolutional neural networks (L-CNNs), which can be applied to generic machine learning problems in lattice gauge theory while exactly preserving gauge…

High Energy Physics - Lattice · Physics 2021-11-09 Matteo Favoni , Andreas Ipp , David I. Müller , Daniel Schuh

We present a neural network architecture, Bispectral Neural Networks (BNNs) for learning representations that are invariant to the actions of compact commutative groups on the space over which a signal is defined. The model incorporates the…

Machine Learning · Computer Science 2023-05-23 Sophia Sanborn , Christian Shewmake , Bruno Olshausen , Christopher Hillar

We introduce equi-tuning, a novel fine-tuning method that transforms (potentially non-equivariant) pretrained models into group equivariant models while incurring minimum $L_2$ loss between the feature representations of the pretrained and…

Although provably robust to translational perturbations, convolutional neural networks (CNNs) are known to suffer from extreme performance degradation when presented at test time with more general geometric transformations of inputs.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Lachlan Ewen MacDonald , Sameera Ramasinghe , Simon Lucey

In this work we propose a new neural network architecture that efficiently implements and learns general purpose set-equivariant functions. Such a function f maps a set of entities x = {x1, . . . , xn} from one domain to a set of same…

Machine Learning · Computer Science 2019-09-23 Roland Vollgraf

Currently there exists rather promising new trend in machine leaning (ML) based on the relationship between neural networks (NN) and Gaussian processes (GP), including many related subtopics, e.g., signal propagation in NNs, theoretical…

Machine Learning · Computer Science 2023-03-01 Andrey Demichev , Alexander Kryukov

We consider the problem of learning general-purpose, paraphrastic sentence embeddings based on supervision from the Paraphrase Database (Ganitkevitch et al., 2013). We compare six compositional architectures, evaluating them on annotated…

Computation and Language · Computer Science 2016-03-07 John Wieting , Mohit Bansal , Kevin Gimpel , Karen Livescu

Many applications require the robustness, or ideally the invariance, of a neural network to certain transformations of input data. Most commonly, this requirement is addressed by either augmenting the training data, using adversarial…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Kanchana Vaishnavi Gandikota , Jonas Geiping , Zorah Lähner , Adam Czapliński , Michael Moeller

Natural language is compositional; the meaning of a sentence is a function of the meaning of its parts. This property allows humans to create and interpret novel sentences, generalizing robustly outside their prior experience. Neural…

Computation and Language · Computer Science 2021-06-30 Henry Conklin , Bailin Wang , Kenny Smith , Ivan Titov

The extent to which neural networks are able to acquire and represent symbolic rules remains a key topic of research and debate. Much current work focuses on the impressive capabilities of large language models, as well as their often…

Machine Learning · Computer Science 2025-06-11 Anna Langedijk , Jaap Jumelet , Willem Zuidema

At the core of self-supervised learning for vision is the idea of learning invariant or equivariant representations with respect to a set of data transformations. This approach, however, introduces strong inductive biases, which can render…

Machine Learning · Computer Science 2024-05-29 Sharut Gupta , Chenyu Wang , Yifei Wang , Tommi Jaakkola , Stefanie Jegelka

Recent advances in deep learning and Transformers have driven major breakthroughs in robotics by employing techniques such as imitation learning, reinforcement learning, and LLM-based multimodal perception and decision-making. However,…

Radio spectrum monitoring in contested environments motivates the need for reliable automatic signal classification technology. Prior work highlights deep learning as a promising approach, but existing models depend on brute-force Doppler…

Signal Processing · Electrical Eng. & Systems 2025-11-19 Avi Bagchi , Dwight Hutchenson

We present a methodology that explores how sentence structure is reflected in neural representations of machine translation systems. We demonstrate our model-agnostic approach with the Transformer English-German translation model. We…

Computation and Language · Computer Science 2022-11-04 Gal Patel , Leshem Choshen , Omri Abend
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