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In recent years, there has been a growing interest in geometric evolution in heterogeneous media. Here we consider curvature driven fows of planar curves, with an additional space-dependent forcing term. Motivated by a homogenization…

Analysis of PDEs · Mathematics 2010-03-29 Annalisa Cesaroni , Matteo Novaga , Enrico Valdinoci

Conversational systems have become increasingly popular as a way for humans to interact with computers. To be able to provide intelligent responses, conversational systems must correctly model the structure and semantics of a conversation.…

Computation and Language · Computer Science 2018-06-19 Svitlana Vakulenko , Maarten de Rijke , Michael Cochez , Vadim Savenkov , Axel Polleres

Results of measurements give legitimacy to a physical theory. What if acquiring these results in the first place necessitates what the same theory considers to be an interaction? In this note, we assume that theories account for…

Quantum Physics · Physics 2019-05-01 Arne Hansen , Stefan Wolf

This paper bridges internal and external analysis approaches to large language models (LLMs) by demonstrating that geometric properties of internal model representations serve as reliable proxies for evaluating generated text quality. We…

Language is contextual as meanings of words are dependent on their contexts. Contextuality is, concomitantly, a well-defined concept in quantum mechanics where it is considered a major resource for quantum computations. We investigate…

Computation and Language · Computer Science 2021-08-02 Daphne Wang , Mehrnoosh Sadrzadeh , Samson Abramsky , Victor H. Cervantes

Static concreteness ratings are widely used in NLP, yet a word's concreteness can shift with context, especially in figurative language such as metaphor, where common concrete nouns can take abstract interpretations. While such shifts are…

Computation and Language · Computer Science 2026-04-21 Saptarshi Ghosh , Tianyu Jiang

In this paper, we present a new corpus of entailment problems. This corpus combines the following characteristics: 1. it is precise (does not leave out implicit hypotheses) 2. it is based on "real-world" texts (i.e. most of the premises…

Computation and Language · Computer Science 2018-12-17 Jean-Philippe Bernardy , Stergios Chatzikyriakidis

Text Classification is the most essential and fundamental problem in Natural Language Processing. While numerous recent text classification models applied the sequential deep learning technique, graph neural network-based models can…

Computation and Language · Computer Science 2024-07-08 Kunze Wang , Yihao Ding , Soyeon Caren Han

Overparameterized shallow neural networks admit substantial parameter redundancy: distinct parameter vectors may represent the same predictor due to hidden-unit permutations, rescalings, and related symmetries. As a result, geometric…

Machine Learning · Computer Science 2026-03-24 Hang-Cheng Dong , Pengcheng Cheng

Natural language text exhibits hierarchical structure in a variety of respects. Ideally, we could incorporate our prior knowledge of this hierarchical structure into unsupervised learning algorithms that work on text data. Recent work by…

Computation and Language · Computer Science 2018-06-13 Bhuwan Dhingra , Christopher J. Shallue , Mohammad Norouzi , Andrew M. Dai , George E. Dahl

Natural Language Processing is rapidly evolving into a primary instrument for Computational Social Science, with researchers increasingly using embeddings to measure latent constructs such as novelty, creativity, and bias. However, this…

Computation and Language · Computer Science 2026-05-11 Baishi Li , Ta Yu , Kelvin J. L. Koa , Ke-Wei Huang

Models for text generation have become focal for many research tasks and especially for the generation of sentence corpora. However, understanding the properties of an automatically generated text corpus remains challenging. We propose a…

Simple representations of documents based on the occurrences of terms are ubiquitous in areas like Information Retrieval, and also frequent in Natural Language Processing. In this work we propose a logical-probabilistic approach to the…

Computation and Language · Computer Science 2011-06-03 Alvaro Francisco Huertas-Rosero , C. J. van Rijsbergen

Personalized text-to-image generation has attracted unprecedented attention in the recent few years due to its unique capability of generating highly-personalized images via using the input concept dataset and novel textual prompt. However,…

Artificial Intelligence · Computer Science 2024-07-02 Shian Du , Xiaotian Cheng , Qi Qian , Henglu Wei , Yi Xu , Xiangyang Ji

Intimacy is a fundamental aspect of how we relate to others in social settings. Language encodes the social information of intimacy through both topics and other more subtle cues (such as linguistic hedging and swearing). Here, we introduce…

Computation and Language · Computer Science 2020-11-06 Jiaxin Pei , David Jurgens

To any metric spaces there is an associated metric profile. The rectifiability of the metric profile gives a good notion of curvature of a sub-Riemannian space. We shall say that a curvature class is the rectifiability class of the metric…

Metric Geometry · Mathematics 2007-05-23 Marius Buliga

Beyond the information stored in pages of the World Wide Web, novel types of ``meta-information'' are created when they connect to each other. This information is a collective effect of independent users writing and linking pages, hidden…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean-Pierre Eckmann , Elisha Moses

In this paper we construct the action describing dynamics of the particle moving in curved spacetime, with a non-trivial momentum space geometry. Curved momentum space is the core feature of theories where relative locality effects are…

High Energy Physics - Theory · Physics 2013-07-11 Jerzy Kowalski-Glikman , Giacomo Rosati

A methodology based upon recurrence quantification analysis is proposed for the study of orthographic structure of written texts. Five different orthographic data sets (20th century Italian poems, 20th century American poems, contemporary…

cmp-lg · Computer Science 2012-08-27 F. Orsucci , K. Walter , A. Giuliani , C. L. Webber, , J. P. Zbilut

This position paper argues that text embedding research should move beyond surface meaning and embrace implicit semantics as a central modeling objective. Text embeddings are a foundational component of modern NLP, underpinning a wide range…

Computation and Language · Computer Science 2026-05-29 Yiqun Sun , Qiang Huang , Anthony K. H. Tung , Jun Yu
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