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A concept of "evolving categories" is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and…

Data Structures and Algorithms · Computer Science 2007-05-23 Evgeny Yanenko

To answer a question, language models often need to integrate prior knowledge learned during pretraining and new information presented in context. We hypothesize that models perform this integration in a predictable way across different…

Computation and Language · Computer Science 2024-06-18 Kevin Du , Vésteinn Snæbjarnarson , Niklas Stoehr , Jennifer C. White , Aaron Schein , Ryan Cotterell

In this paper, we show how to interpret a language featuring concurrency, references and replication into proof nets, which correspond to a fragment of differential linear logic. We prove a simulation and adequacy theorem. A key element in…

Logic in Computer Science · Computer Science 2021-02-12 Yann Hamdaoui

Homotopy coherence has a considerable history, albeit also by other names. For this volume highlighting symmetries, the appropriate use is: Homotopy coherence of representations, at one time known as strong homotopy representations. We…

Algebraic Topology · Mathematics 2022-02-14 Tim Porter , Jim Stasheff

Recent years have seen the proliferation of disinformation and fake news online. Traditional approaches to mitigate these issues is to use manual or automatic fact-checking. Recently, another approach has emerged: checking whether the input…

Computation and Language · Computer Science 2022-05-10 Shaden Shaar , Firoj Alam , Giovanni Da San Martino , Preslav Nakov

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

Analysis of PDEs · Mathematics 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of…

Artificial Intelligence · Computer Science 2018-02-05 Peter D. Bruza

Program reductions are used widely to simplify reasoning about the correctness of concurrent and distributed programs. In this paper, we propose a general approach to proof simplification of concurrent programs based on exploring generic…

Programming Languages · Computer Science 2019-11-01 Azadeh Farzan , Anthony Vandikas

The phenomena of in-context learning has typically been thought of as "learning from examples". In this work which focuses on Machine Translation, we present a perspective of in-context learning as the desired generation task maintaining…

Computation and Language · Computer Science 2023-05-08 Suzanna Sia , Kevin Duh

In machine learning, the one-class classification problem occurs when training instances are only available from one class. It has been observed that making use of this class's structure, or its different contexts, may improve one-class…

Machine Learning · Computer Science 2019-07-10 Richard Hugh Moulton , Herna L. Viktor , Nathalie Japkowicz , João Gama

Recently semantic parsing in context has received considerable attention, which is challenging since there are complex contextual phenomena. Previous works verified their proposed methods in limited scenarios, which motivates us to conduct…

Computation and Language · Computer Science 2020-06-16 Qian Liu , Bei Chen , Jiaqi Guo , Jian-Guang Lou , Bin Zhou , Dongmei Zhang

To cope with the ever-growing information overload, an increasing number of digital libraries employ content-based recommender systems. These systems traditionally recommend related documents with the help of similarity measures. However,…

Information Retrieval · Computer Science 2020-08-04 Malte Ostendorff

An appropriate framework is put forward for the construction of $\lambda$-models with $\infty$-groupoid structure, which we call \textit{homotopic $\lambda$-models}, through the use of an $\infty$-category with cartesian closure and enough…

Logic in Computer Science · Computer Science 2022-10-27 Daniel O. Martínez-Rivillas , Ruy J. G. B. de Queiroz

A cocycle category H(X,Y) is defined for objects X and Y in a model category, and it is shown that the set of morphisms [X,Y] is isomorphic to the set of path components of H(X,Y) provided the ambient model category is right proper and…

Algebraic Topology · Mathematics 2007-05-23 J. F. Jardine

Consistency models have emerged as a promising alternative to diffusion models, offering high-quality generative capabilities through single-step sample generation. However, their application to multi-domain image translation tasks, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Amil Bhagat , Milind Jain , A. V. Subramanyam

Statistical methods are indispensable to scientific inference. However, there exists a longstanding tension across a wide range of scientific disciplines about the role that ``context'' should play in the application of statistical methods…

Applications · Statistics 2026-04-06 Ashley I Naimi

A model category is called combinatorial if it is cofibrantly generated and its underlying category is locally presentable. As shown in recent years, homotopy categories of combinatorial model categories share useful properties, such as…

Algebraic Topology · Mathematics 2020-12-04 Carles Casacuberta , Jiri Rosicky

With the growing abundance of unlabeled data in real-world tasks, researchers have to rely on the predictions given by black-boxed computational models. However, it is an often neglected fact that these models may be scoring high on…

Computation and Language · Computer Science 2018-10-03 Aysenur Bilgin , Laura Hollink , Jacco van Ossenbruggen , Erik Tjong Kim Sang , Kim Smeenk , Frank Harbers , Marcel Broersma

We consider the task of learning a context-dependent mapping from utterances to denotations. With only denotations at training time, we must search over a combinatorially large space of logical forms, which is even larger with…

Computation and Language · Computer Science 2016-06-20 Reginald Long , Panupong Pasupat , Percy Liang

Consensus is a well-studied problem in distributed sensing, computation and control, yet deriving useful and easily computable bounds on the rate of convergence to consensus remains a challenge. This paper discusses the use of seminorms for…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Ron Ofir , Ji Liu , A. Stephen Morse , Brian D. O. Anderson