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We propose indifference pricing to estimate the value of the weak information. Our framework allows for tractability, quantifying the amount of additional information, and permits the description of the smallness and the stability with…

Mathematical Finance · Quantitative Finance 2024-08-06 Fabrice Baudoin , Oleksii Mostovyi

We study information-theoretic phase transitions for the detectability of latent geometry in bipartite random geometric graphs RGGs with Gaussian d-dimensional latent vectors while only a subset of edges carries latent information…

Probability · Mathematics 2026-04-13 Andreas Göbel , Marcus Pappik , Leon Schiller

Individual components such as cells, particles, or agents within a larger system often require detailed understanding of their relative position to act accordingly, enabling the system as a whole to function in an organised and efficient…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Prashant Singh , Karel Proesmans

Human-annotated attributes serve as powerful semantic embeddings in zero-shot learning. However, their annotation process is labor-intensive and needs expert supervision. Current unsupervised semantic embeddings, i.e., word embeddings,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Wenjia Xu , Yongqin Xian , Jiuniu Wang , Bernt Schiele , Zeynep Akata

In principle, zero-shot learning makes it possible to train a recognition model simply by specifying the category's attributes. For example, with classifiers for generic attributes like \emph{striped} and \emph{four-legged}, one can…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Dinesh Jayaraman , Kristen Grauman

This paper studies how spatial thinking interacts with simplicity in [informal] proof, by analysing a set of example proofs mainly concerned with Ferrers diagrams (visual representations of partitions of integers, and comparing them to…

History and Overview · Mathematics 2018-03-02 Alan J. Cain

The partial information decomposition (PID) aims to quantify the amount of redundant information that a set of sources provides about a target. Here, we show that this goal can be formulated as a type of information bottleneck (IB) problem,…

Information Theory · Computer Science 2024-06-28 Artemy Kolchinsky

Generalised zero-shot learning (GZSL) methods aim to classify previously seen and unseen visual classes by leveraging the semantic information of those classes. In the context of GZSL, semantic information is non-visual data such as a text…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Rafael Felix , Ben Harwood , Michele Sasdelli , Gustavo Carneiro

We propose a zero-shot learning relation classification (ZSLRC) framework that improves on state-of-the-art by its ability to recognize novel relations that were not present in training data. The zero-shot learning approach mimics the way…

Computation and Language · Computer Science 2021-11-22 Jiaying Gong , Hoda Eldardiry

Reasoning paths are reliable information in knowledge graph completion (KGC) in which algorithms can find strong clues of the actual relation between entities. However, in real-world applications, it is difficult to guarantee that…

Information Retrieval · Computer Science 2025-10-08 Yanning Hou , Sihang Zhou , Ke Liang , Lingyuan Meng , Xiaoshu Chen , Ke Xu , Siwei Wang , Xinwang Liu , Jian Huang

Hiding information in network traffic may lead to leakage of confidential information. In this paper we introduce a new steganographic system: the PadSteg (Padding Steganography). To authors' best knowledge it is the first information…

Cryptography and Security · Computer Science 2010-07-06 Bartosz Jankowski , Wojciech Mazurczyk , Krzysztof Szczypiorski

Information algebras arise from the idea that information comes in pieces which can be aggregated or combined into new pieces, that information refers to questions and that from any piece of information, the part relevant to a given…

Information Theory · Computer Science 2021-01-01 Juerg Kohlas , Juerg Schmid

Partial Information Decomposition (PID) represents multivariate mutual information via antichain-lattice that aims to specify which source groups can recover which informational components of a target. For three or more sources, widely…

Information Theory · Computer Science 2026-04-15 Aobo Lyu , Andrew Clark , Netanel Raviv

Network node similarity measure has been paid particular attention in the field of statistical physics. In this paper, we utilize the concept of information and information loss to measure the node similarity. The whole model is based on…

Physics and Society · Physics 2014-03-19 Yongli Li , Peng Luo , Chong Wu

Methods have been developed to identify the probability distribution of a random vector $Z$ from information consisting of its bounded range and the probability density function or moments of a quantity of interest, $Q(Z)$. The mapping from…

Numerical Analysis · Mathematics 2020-01-16 Wayne Isaac T. Uy , Mircea D. Grigoriu

In this paper, we study an information-theoretic problem of designing a fair representation that attains bounded statistical (demographic) parity. More specifically, an agent uses some useful data $X$ to solve a task $T$. Since both $X$ and…

Information Theory · Computer Science 2025-08-19 Amirreza Zamani , Abolfazl Changizi , Ragnar Thobaben , Mikael Skoglund

We introduce the notion of information ratio $\text{Ir}(H/G)$ between two (simple, undirected) graphs $G$ and $H$, defined as the supremum of ratios $k/n$ such that there exists a mapping between the strong products $G^k$ to $H^n$ that…

Information Theory · Computer Science 2017-10-03 Lele Wang , Ofer Shayevitz

Any unconstrained information inequality in three or fewer random variables can be written as a linear combination of instances of Shannon's inequality I(A;B|C) >= 0 . Such inequalities are sometimes referred to as "Shannon" inequalities.…

Information Theory · Computer Science 2011-04-20 Randall Dougherty , Chris Freiling , Kenneth Zeger

Many models learn representations of knowledge graph data by exploiting its low-rank latent structure, encoding known relations between entities and enabling unknown facts to be inferred. To predict whether a relation holds between…

Machine Learning · Computer Science 2021-01-19 Carl Allen , Ivana Balažević , Timothy Hospedales

A half-square of a bipartite graph $B=(X,Y,E_B)$ has one color class of $B$ as vertex set, say $X$; two vertices are adjacent whenever they have a common neighbor in $Y$. If $G=(V,E_G)$ is the half-square of a planar bipartite graph…

Discrete Mathematics · Computer Science 2018-12-12 Hoang-Oanh Le , Van Bang Le