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This paper investigates contextual word representation models from the lens of similarity analysis. Given a collection of trained models, we measure the similarity of their internal representations and attention. Critically, these models…

Computation and Language · Computer Science 2020-05-05 John M. Wu , Yonatan Belinkov , Hassan Sajjad , Nadir Durrani , Fahim Dalvi , James Glass

Interpretability has become an important topic of research as more machine learning (ML) models are deployed and widely used to make important decisions. Most of the current explanation methods provide explanations through feature…

Machine Learning · Statistics 2019-10-09 Amirata Ghorbani , James Wexler , James Zou , Been Kim

Understanding representational similarity between neural recordings and computational models is essential for neuroscience, yet remains challenging to measure reliably due to the constraints on the number of neurons that can be recorded…

Disordered Systems and Neural Networks · Physics 2025-10-27 Hyunmo Kang , Abdulkadir Canatar , SueYeon Chung

Representation learning, and interpreting learned representations, are key areas of focus in machine learning and neuroscience. Both fields generally use representations as a means to understand or improve a system's computations. In this…

Machine Learning · Computer Science 2024-09-24 Andrew Kyle Lampinen , Stephanie C. Y. Chan , Katherine Hermann

We study the problem of constructing positive representations of complex measures. In this paper we consider complex densities on a direct product of $U(1)$ groups and look for representations by probability distributions on the…

High Energy Physics - Lattice · Physics 2017-12-21 Erhard Seiler , Jacek Wosiek

In this paper, we introduce a novel method to generate interpretable regression function estimators. The idea is based on called data-dependent coverings. The aim is to extract from the data a covering of the feature space instead of a…

Statistics Theory · Mathematics 2021-01-27 Vincent Margot , Jean-Patrick Baudry , Frédéric Guilloux , Olivier Wintenberger

Scientists often seek simplified representations of complex systems to facilitate prediction and understanding. If the factors comprising a representation allow us to make accurate predictions about our system, but obscuring any subset of…

Machine Learning · Computer Science 2017-10-12 Greg Ver Steeg , Rob Brekelmans , Hrayr Harutyunyan , Aram Galstyan

Learning Spaces are certain set systems that are applied in the mathematical modeling of education. We propose a suitable compression (without loss of information) of such set systems to facilitate their logical and statistical analysis.…

Data Structures and Algorithms · Computer Science 2017-08-14 Marcel Wild

We define a notion of complexity, which quantifies the nonlinearity of the computation of a neural network, as well as a complementary measure of the effective dimension of feature representations. We investigate these observables both for…

Machine Learning · Computer Science 2021-03-18 Romuald A. Janik , Przemek Witaszczyk

Representation learning assumes that real-world data is generated by a few semantically meaningful generative factors (i.e., sources of variation) and aims to discover them in the latent space. These factors are expected to be causally…

Machine Learning · Computer Science 2023-10-27 Xiaoyu Liu , Jiaxin Yuan , Bang An , Yuancheng Xu , Yifan Yang , Furong Huang

We provide an approach to exploratory data analysis in matched observational studies with a single intervention and multiple endpoints. In such settings, the researcher would like to explore evidence for actual treatment effects among these…

Methodology · Statistics 2025-12-10 Mengqi Lin , Colin Fogarty

Explaining complex or seemingly simple machine learning models is an important practical problem. We want to explain individual predictions from a complex machine learning model by learning simple, interpretable explanations. Shapley values…

Machine Learning · Statistics 2020-02-07 Kjersti Aas , Martin Jullum , Anders Løland

Understanding the decision-making processes of neural networks is a central goal of mechanistic interpretability. In the context of Large Language Models (LLMs), this involves uncovering the underlying mechanisms and identifying the roles…

Computation and Language · Computer Science 2026-04-21 Nils Feldhus , Laura Kopf

The Chapter starts with introductory information about quantitative linguistics notions, like rank--frequency dependence, Zipf's law, frequency spectra, etc. Similarities in distributions of words in texts with level occupation in quantum…

Data Analysis, Statistics and Probability · Physics 2024-01-04 Andrij Rovenchak

Formal Concept Analysis (FCA) is an approach to creating a conceptual hierarchy in which a \textit{concept lattice} is generated from a \textit{formal context}. That is, a triple consisting of a set of objects, $G$, a set of attributes,…

Logic in Computer Science · Computer Science 2024-10-08 Lucas Carr , Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph

Formal Concept Analysis (FCA) is a well-established method for data analysis which finds many applications in data mining. Its extension on complex data representation formats brought a wave of new applications to the problems such as gene…

Information Retrieval · Computer Science 2018-09-27 Dmitry Morozov , Mario Lezoche , Hervé Panetto

This paper proposes sparse and easy-to-interpret proximate factors to approximate statistical latent factors. Latent factors in a large-dimensional factor model can be estimated by principal component analysis (PCA), but are usually hard to…

Methodology · Statistics 2020-08-04 Markus Pelger , Ruoxuan Xiong

Recent empirical evidence shows that LLM representations encode human-interpretable concepts. Nevertheless, the mechanisms by which these representations emerge remain largely unexplored. To shed further light on this, we introduce a novel…

Machine Learning · Computer Science 2026-03-03 Yuhang Liu , Dong Gong , Yichao Cai , Erdun Gao , Zhen Zhang , Biwei Huang , Mingming Gong , Anton van den Hengel , Javen Qinfeng Shi

Concept-based interpretability methods aim to explain deep neural network model predictions using a predefined set of semantic concepts. These methods evaluate a trained model on a new, "probe" dataset and correlate model predictions with…

Computer Vision and Pattern Recognition · Computer Science 2023-05-15 Vikram V. Ramaswamy , Sunnie S. Y. Kim , Ruth Fong , Olga Russakovsky

In this introductory article we present the basics of an approach to implementing computational interpreting of natural language aiming to model the meanings of words and phrases. Unlike other approaches, we attempt to define the meanings…

Computation and Language · Computer Science 2019-08-12 Michael Kapustin , Pavlo Kapustin