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We make a systematic study of the focal surface of a congruence of lines in the projective space. Using differential techniques together with techniques from intersection theory, we reobtain in particular all the invariants of the focal…

Algebraic Geometry · Mathematics 2007-05-23 E. Arrondo , M. Bertolini , C. Turrini

Past research has identified a rich set of handcrafted linguistic features that can potentially assist various tasks. However, their extensive number makes it difficult to effectively select and utilize existing handcrafted features.…

Computation and Language · Computer Science 2023-06-02 Bruce W. Lee , Jason Hyung-Jong Lee

Recent advances in natural language processing (NLP) have produced general models that can perform complex tasks such as summarizing long passages and translating across languages. Here, we introduce a method to extract adjective…

Computation and Language · Computer Science 2022-03-07 Andrew Cutler , David M. Condon

In recent years, deep convolutional neural networks have achieved state of the art performance in various computer vision task such as classification, detection or segmentation. Due to their outstanding performance, CNNs are more and more…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Sebastian Sudholt , Gernot A. Fink

Group fairness in machine learning is an important area of research focused on achieving equitable outcomes across different groups defined by sensitive attributes such as race or gender. Federated Learning, a decentralized approach to…

Machine Learning · Computer Science 2025-09-15 Teresa Salazar , Helder Araújo , Alberto Cano , Pedro Henriques Abreu

The aim of this work is to understand the retraction phenomenon in the arts and humanities domain through an analysis of the retraction notices: formal documents stating and describing the retraction of a particular publication. The…

Digital Libraries · Computer Science 2023-08-29 Ivan Heibi , Silvio Peroni

A new method is presented, that can help a person become aware of his or her unconscious preferences, and convey them to others in the form of verbal explanation. The method combines the concepts of reflection, visualization, and…

Artificial Intelligence · Computer Science 2010-09-28 Yoshiharu Maeno , Yukio Ohsawa

Algorithmic fairness has conventionally adopted the mathematically convenient perspective of racial color-blindness (i.e., difference unaware treatment). However, we contend that in a range of important settings, group difference awareness…

Computers and Society · Computer Science 2025-08-12 Angelina Wang , Michelle Phan , Daniel E. Ho , Sanmi Koyejo

Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

Social and Information Networks · Computer Science 2014-02-04 Burcu Kantarcı , Vincent Labatut

This is a survey on rectifiability. I discuss basic properties of rectifiable sets, measures, currents and varifolds and their role in complex and harmonic analysis, potential theory, calculus of variations, PDEs and some other topics.

Classical Analysis and ODEs · Mathematics 2022-03-02 Pertti Mattila

Spectroscopy infers the internal structure of physical systems by measuring their response to perturbations. We apply this principle to neural networks: perturbing the data distribution by upweighting a token $y$ in context $x$, we measure…

Machine Learning · Computer Science 2026-01-21 Andrew Gordon , Garrett Baker , George Wang , William Snell , Stan van Wingerden , Daniel Murfet

We define the notion of an indexed profunctor over a 2-category, and use it to develop an abstract theory of limits. The theory subsumes (conical) limits, weighted limits, ends and Kan extensions. Results include an abstract version of the…

Category Theory · Mathematics 2023-02-14 Sori Lee

I examine the hypothesis that consciousness can be understood as a state of matter, "perceptronium", with distinctive information processing abilities. I explore five basic principles that may distinguish conscious matter from other…

Popular Physics · Physics 2023-08-16 Max Tegmark

In this paper, six constructions of difference families are presented. These constructions make use of difference sets, almost difference sets and disjoint difference families, and give new point of views of relationships among these…

Information Theory · Computer Science 2014-11-14 Cunsheng Ding , Chik How Tan , Yin Tan

The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.

Number Theory · Mathematics 2007-05-23 Yann Bugeaud , Michel Laurent

Conceptual formalism supported by typical ontologies may not be sufficient to represent uncertainty information which is caused due to the lack of clear cut boundaries between concepts of a domain. Fuzzy ontologies are proposed to offer a…

Artificial Intelligence · Computer Science 2018-05-08 Zahra Riahi Samani , Mehrnoush Shamsfard

Computing conceptual structures, like formal concept lattices, is in the age of massive data sets a challenging task. There are various approaches to deal with this, e.g., random sampling, parallelization, or attribute extraction. A so far…

Artificial Intelligence · Computer Science 2020-02-28 Tom Hanika , Maren Koyda , Gerd Stumme

Text classification is a quintessential and practical problem in natural language processing with applications in diverse domains such as sentiment analysis, fake news detection, medical diagnosis, and document classification. A sizable…

Computation and Language · Computer Science 2024-10-15 Syed Mustafa Haider Rizvi , Ramsha Imran , Arif Mahmood

What can we discover? As the discussion in this paper is limited to ontological considerations, it does not deal with the discovery of new concepts. It raises the following question: What are the entities or existents that we can discover?…

History and Philosophy of Physics · Physics 2014-02-04 Amihud Gilead

Ontologies comprising of concepts, their attributes, and relationships are used in many knowledge based AI systems. While there have been efforts towards populating domain specific ontologies, we examine the role of document structure in…

Artificial Intelligence · Computer Science 2022-04-14 Abhay M Shalghar , Ayush Kumar , Balaji Ganesan , Aswin Kannan , Akshay Parekh , Shobha G