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Investigation of the underlying physics or biology from empirical data requires a quantifiable notion of similarity - when do two observed data sets indicate nearly identical generating processes, and when they do not. The discriminating…

Machine Learning · Computer Science 2014-01-07 Ishanu Chattopadhyay , Hod Lipson

We determine the conditions for the existence of a pair of degenerate parity breaking separable eigenstates in general arrays of arbitrary spins connected through $XYZ$ couplings of arbitrary range and placed in a transverse field, not…

Quantum Physics · Physics 2015-05-14 R. Rossignoli , N. Canosa , J. M. Matera

Skeleton-based zero-shot action recognition aims to recognize unknown human actions based on the learned priors of the known skeleton-based actions and a semantic descriptor space shared by both known and unknown categories. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Yang Chen , Jingcai Guo , Tian He , Ling Wang

We characterize mutual information as the unique map on ordered pairs of random variables satisfying a set of axioms similar to those of Faddeev's characterization of the Shannon entropy. There is a new axiom in our characterization however…

Information Theory · Computer Science 2022-11-30 James Fullwood

This paper proposes an embedding method for co-occurrence data aimed at visual information exploration. We consider cases where co-occurrence probabilities are measured between pairs of elements from heterogeneous domains. The proposed…

Machine Learning · Computer Science 2025-08-26 Takuro Ishida , Tetsuo Furukawa

In this paper we consider a version of the zero-shot learning problem where seen class source and target domain data are provided. The goal during test-time is to accurately predict the class label of an unseen target domain instance based…

Computer Vision and Pattern Recognition · Computer Science 2015-09-29 Ziming Zhang , Venkatesh Saligrama

Spuriousness arises when there is an association between two or more variables in a dataset that are not causally related. In this work, we propose an explainability framework to preemptively disentangle the nature of such spurious…

Machine Learning · Computer Science 2025-11-17 Barproda Halder , Faisal Hamman , Pasan Dissanayake , Qiuyi Zhang , Ilia Sucholutsky , Sanghamitra Dutta

Common sense suggests that a particle must have a definite origin if its full path information is available. In quantum mechanics, the knowledge of path information is captured through the well-established duality relation between path…

Quantum Physics · Physics 2026-04-14 Xinhe Jiang , Armin Hochrainer , Jaroslav Kysela , Manuel Erhard , Xuemei Gu , Ya Yu , Anton Zeilinger

Bivariate Partial Information Decomposition (PID) describes how the mutual information between a random variable M and two random variables Y and Z is decomposed into unique, redundant, and synergistic terms. Recently, PID has shown promise…

Information Theory · Computer Science 2023-05-12 Chaitanya Goswami , Amanda Merkley , Pulkit Grover

We build information geometry for a partially ordered set of variables and define the orthogonal decomposition of information theoretic quantities. The natural connection between information geometry and order theory leads to efficient…

Information Theory · Computer Science 2016-11-18 Mahito Sugiyama , Hiroyuki Nakahara , Koji Tsuda

Partial Information Decomposition (PID) has become one of the most prominent information-theoretic frameworks for describing the structure and quality of information in complex systems. Despite its widespread utility, there exists no unique…

Information Theory · Computer Science 2026-03-10 Alberto Liardi , Keenan J. A. Down , George Blackburne , Matteo Neri , Pedro A. M. Mediano

The Partial Information Decomposition (PID) takes one step beyond Shannon's theory in decomposing the information two variables $A,B$ possess about a third variable $T$ into distinct parts: unique, shared (or redundant) and synergistic…

Quantum Physics · Physics 2023-11-27 S. J. van Enk

In 2012, Groth, et al. [J. ACM, 59 (3), 1-35, 2012] developed some new techniques for noninteractive zero-knowledge (NIZK) and presented: the first perfect NIZK argument system for all NP; the first universally composable NIZK argument for…

Cryptography and Security · Computer Science 2018-05-17 Zhengjun Cao , Lihua Liu

Fairness holds a pivotal role in the realm of machine learning, particularly when it comes to addressing groups categorised by protected attributes, e.g., gender, race. Prevailing algorithms in fair learning predominantly hinge on…

Machine Learning · Computer Science 2024-11-11 Quan Zhou , Jakub Marecek

There is mounting evidence of emergent phenomena in the capabilities of deep learning methods as we scale up datasets, model sizes, and training times. While there are some accounts of how these resources modulate statistical capacity, far…

Machine Learning · Computer Science 2023-01-18 Boaz Barak , Benjamin L. Edelman , Surbhi Goel , Sham Kakade , Eran Malach , Cyril Zhang

We study holographic entropy inequalities and their structural properties by making use of a judicious grouping of terms into certain multipartite information quantities. This allows us to recast cumbersome entropic expressions into much…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Frederic Jia

Some of the tightest information-theoretic generalization bounds depend on the average information between the learned hypothesis and a single training example. However, these sample-wise bounds were derived only for expected generalization…

Machine Learning · Computer Science 2022-12-14 Hrayr Harutyunyan , Greg Ver Steeg , Aram Galstyan

We investigate the information distribution among different entities in the weak measurements protocol. Focusing on multilevel, decaying systems under continuous (no-click) monitoring, we derive exact, conservation-type information…

Quantum Physics · Physics 2026-01-30 Yusef Maleki , Luis D. Zambrano Palma , M. Suhail Zubairy

This paper presents a novel approach to Zero-Shot Action Recognition. Recent works have explored the detection and classification of objects to obtain semantic information from videos with remarkable performance. Inspired by them, we…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Valter Estevam , Rayson Laroca , David Menotti , Helio Pedrini

Zero-shot learning (ZSL) aims to recognize objects of novel classes without any training samples of specific classes, which is achieved by exploiting the semantic information and auxiliary datasets. Recently most ZSL approaches focus on…

Computer Vision and Pattern Recognition · Computer Science 2018-07-25 Huajie Jiang , Ruiping Wang , Shiguang Shan , Xilin Chen
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