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We introduce a conditional generative model for learning to disentangle the hidden factors of variation within a set of labeled observations, and separate them into complementary codes. One code summarizes the specified factors of variation…

Machine Learning · Computer Science 2016-11-11 Michael Mathieu , Junbo Zhao , Pablo Sprechmann , Aditya Ramesh , Yann LeCun

Structured latent variables allow incorporating meaningful prior knowledge into deep learning models. However, learning with such variables remains challenging because of their discrete nature. Nowadays, the standard learning approach is to…

Machine Learning · Computer Science 2021-10-29 Kirill Struminsky , Artyom Gadetsky , Denis Rakitin , Danil Karpushkin , Dmitry Vetrov

We define "Locally Nameless Permutation Types", which fuse permutation types as used in Nominal Isabelle with the locally nameless representation. We show that this combination is particularly useful when formalizing programming languages…

Programming Languages · Computer Science 2017-10-25 Edsko de Vries , Vasileios Koutavas

Several recent unsupervised learning methods use probabilistic approaches to solve combinatorial optimization (CO) problems based on the assumption of statistically independent solution variables. We demonstrate that this assumption imposes…

Machine Learning · Computer Science 2023-11-27 Sebastian Sanokowski , Wilhelm Berghammer , Sepp Hochreiter , Sebastian Lehner

Initial semantics aims to model inductive structures and their properties, and to provide them with recursion principles respecting these properties. An ubiquitous example is the fold operator for lists. We are concerned with initial…

Programming Languages · Computer Science 2026-03-31 Benedikt Ahrens , Ambroise Lafont , Thomas Lamiaux

We propose an approach to learn image representations that consist of disentangled factors of variation without exploiting any manual labeling or data domain knowledge. A factor of variation corresponds to an image attribute that can be…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Qiyang Hu , Attila Szabó , Tiziano Portenier , Matthias Zwicker , Paolo Favaro

Agda is a dependently-typed programming language and a proof assistant, pivotal in proof formalization and programming language theory. This paper extends the Agda ecosystem into machine learning territory, and, vice versa, makes…

Machine Learning · Computer Science 2024-10-31 Konstantinos Kogkalidis , Orestis Melkonian , Jean-Philippe Bernardy

Word-representable graphs, which are the same as semi-transitively orientable graphs, generalize several fundamental classes of graphs. In this paper we propose a novel approach to study word-representability of graphs using a technique of…

Combinatorics · Mathematics 2023-12-19 Sumin Huang , Sergey Kitaev , Artem Pyatkin

The similarity of feature representations plays a pivotal role in the success of problems related to domain adaptation. Feature similarity includes both the invariance of marginal distributions and the closeness of conditional distributions…

Machine Learning · Computer Science 2022-01-10 Ammar Shaker , Shujian Yu , Daniel Oñoro-Rubio

Extending the lambda-calculus with a construct for sharing, such as let expressions, enables a special representation of terms: iterated applications are decomposed by introducing sharing points in between any two of them, reducing to the…

Logic in Computer Science · Computer Science 2019-07-16 Beniamino Accattoli , Andrea Condoluci , Giulio Guerrieri , Claudio Sacerdoti Coen

A novel formalisation of variable control in languages with implicit names based on de Bruijn indices is presented. We design and implement three languages: first, a restricted language with implicit names; then, a restricted calculus with…

Logic in Computer Science · Computer Science 2026-01-14 Silvia Ghilezan , Jelena Ivetić , Pierre Lescanne , Simona Kašterović

Learning meaningful representations is at the heart of many tasks in the field of modern machine learning. Recently, a lot of methods were introduced that allow learning of image representations without supervision. These representations…

Node representations, or embeddings, are low-dimensional vectors that capture node properties, typically learned through unsupervised structural similarity objectives or supervised tasks. While recent efforts have focused on explaining…

Machine Learning · Computer Science 2025-10-17 Simone Piaggesi , André Panisson , Megha Khosla

The ability to identify and control different kinds of linguistic information encoded in vector representations of words has many use cases, especially for explainability and bias removal. This is usually done via a set of simple…

Computation and Language · Computer Science 2023-10-25 Tal Levy , Omer Goldman , Reut Tsarfaty

Contextual type theory distinguishes between bound variables and meta-variables to write potentially incomplete terms in the presence of binders. It has found good use as a framework for concise explanations of higher-order unification,…

Logic in Computer Science · Computer Science 2011-11-02 Mathieu Boespflug , Brigitte Pientka

Bayesian belief networks have grown to prominence because they provide compact representations for many problems for which probabilistic inference is appropriate, and there are algorithms to exploit this compactness. The next step is to…

Artificial Intelligence · Computer Science 2011-06-27 D. Poole , N. L. Zhang

We show that a language model's ability to predict text is tightly linked to the breadth of its embedding space: models that spread their contextual representations more widely tend to achieve lower perplexity. Concretely, we find that…

Computation and Language · Computer Science 2026-04-21 Yanhong Li , Ming Li , Karen Livescu , Jiawei Zhou

Defining substitution for a language with binders like the simply typed $\lambda$-calculus requires repetition, defining substitution and renaming separately. To verify the categorical properties of this calculus, we must repeat the same…

Logic in Computer Science · Computer Science 2025-10-15 Thorsten Altenkirch , Nathaniel Burke , Philip Wadler

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari

The Bindlib library for OCaml provides a set of tools for the manipulation of data structures with variable binding. It is very well suited for the representation of abstract syntax trees, and has already been used for the implementation of…

Programming Languages · Computer Science 2018-07-06 Rodolphe Lepigre , Christophe Raffalli