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Topological data analysis (TDA) has become a powerful approach over the last twenty years, mainly due to its ability to capture the shape and the geometry inherent in the data. Persistence homology, which is a particular tool in TDA, has…

Neurons and Cognition · Quantitative Biology 2024-01-12 Anass B. El-Yaagoubi , Shuhao Jiao , Moo K. Chung , Hernando Ombao

The widespread adoption of depth sensors has substantially lowered the barrier to point-cloud acquisition. This letter proposes a semantic wireless transmission framework for three dimension (3D) point clouds built on Deep Joint Source -…

Machine Learning · Computer Science 2026-03-03 Junlin Chang , Yubo Han , Hang Yue , John S Thompson , Rongke Liu

Semantic communication is expected to be one of the cores of next-generation AI-based communications. One of the possibilities offered by semantic communication is the capability to regenerate, at the destination side, images or videos…

Artificial Intelligence · Computer Science 2026-05-18 Eleonora Grassucci , Sergio Barbarossa , Danilo Comminiello

Although existing semantic communication systems have achieved great success, they have not considered that the channel is time-varying wherein deep fading occurs occasionally. Moreover, the importance of each semantic feature differs from…

Signal Processing · Electrical Eng. & Systems 2023-05-08 Kequan Zhou , Guangyi Zhang , Yunlong Cai , Qiyu Hu , Guanding Yu

We present recurrent transformer networks (RTNs) for obtaining dense correspondences between semantically similar images. Our networks accomplish this through an iterative process of estimating spatial transformations between the input…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Seungryong Kim , Stephen Lin , Sangryul Jeon , Dongbo Min , Kwanghoon Sohn

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

Semantic communication can improve transmission efficiency by focusing on task-relevant information. However, under packet-based communication protocols, any error typically results in the loss of an entire packet, making semantic…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Xiao Yang , Shuai Ma , Yong Liang , Guangming Shi

We present a theoretical framework that extends classical information theory to finite and structured systems by redefining redundancy as a fundamental property of information organization rather than inefficiency. In this framework,…

Machine Learning · Computer Science 2025-10-14 Yuda Bi , Ying Zhu , Vince D Calhoun

Including intricate topological information (e.g., cycles) provably enhances the expressivity of message-passing graph neural networks (GNNs) beyond the Weisfeiler-Leman (WL) hierarchy. Consequently, Persistent Homology (PH) methods are…

Machine Learning · Computer Science 2026-02-05 Mattie Ji , Amauri H. Souza , Vikas Garg

Semantic communication aims to transmit information most relevant to a task rather than raw data, offering significant gains in communication efficiency for applications such as telepresence, augmented reality, and remote sensing. Recent…

Machine Learning · Computer Science 2025-12-18 Matin Mortaheb , Erciyes Karakaya , Sennur Ulukus

While semantic communication succeeds in efficiently transmitting due to the strong capability to extract the essential semantic information, it is still far from the intelligent or human-like communications. In this paper, we introduce an…

Signal Processing · Electrical Eng. & Systems 2023-03-23 Huiqiang Xie , Zhijin Qin , Geoffrey Ye Li

Representation learning plays a central role in structuring internal embeddings to capture the statistical properties of language, influencing the coherence and contextual consistency of generated text. Statistical Coherence Alignment is…

Computation and Language · Computer Science 2025-08-11 Jonathan Gale , Godfrey Aldington , Harriet Thistlewood , Thomas Tattershall , Basil Wentworth , Vincent Enoasmo

In some rate-distortion-type problems, the required fidelity of information is affected by past actions. As a result, the distortion function depends not only on the instantaneous distortion between a source symbol and its representation…

Information Theory · Computer Science 2026-01-30 Hamidreza Abin , Amin Gohari , Andrew W. Eckford

Graph-based semantic representations are valuable in natural language processing, where it is often simple and effective to represent linguistic concepts as nodes, and relations as edges between them. Several attempts has been made to find…

Formal Languages and Automata Theory · Computer Science 2021-05-10 Johanna Björklund , Frank Drewes , Anna Jonsson

In software system design, one of the purposes of diagrammatic modeling is to explain something (e.g., data tables) to others. Very often, syntax of diagrams is specified while the intended meaning of diagrammatic constructs remains…

Software Engineering · Computer Science 2022-10-05 Sabah Al-Fedaghi

Overparameterized neural networks often contain many removable neurons, yet what makes a neuron redundant remains poorly understood. Existing pruning criteria commonly rely on local quantities such as weight magnitude, activation strength,…

Machine Learning · Computer Science 2026-05-21 Yongyu Wang

In the context of lossy compression, Blau & Michaeli (2019) adopt a mathematical notion of perceptual quality and define the information rate-distortion-perception function, generalizing the classical rate-distortion tradeoff. We consider…

Information Theory · Computer Science 2021-12-23 George Zhang , Jingjing Qian , Jun Chen , Ashish Khisti

The emerging field semantic communication is driving the research of end-to-end data transmission. By utilizing the powerful representation ability of deep learning models, learned data transmission schemes have exhibited superior…

Information Theory · Computer Science 2023-05-25 Jincheng Dai , Sixian Wang , Ke Yang , Kailin Tan , Xiaoqi Qin , Zhongwei Si , Kai Niu , Ping Zhang

We consider the semantic rate-distortion problem motivated by task-oriented video compression. The semantic information corresponding to the task, which is not observable to the encoder, shows impacts on the observations through a joint…

Information Theory · Computer Science 2022-08-15 Tao Guo , Yizhu Wang , Jie Han , Huihui Wu , Bo Bai , Wei Han

Evaluating the quality of reasoning traces from large language models remains understudied, labor-intensive, and unreliable: current practice relies on expert rubrics, manual annotation, and slow pairwise judgments. Automated efforts are…

Artificial Intelligence · Computer Science 2026-05-28 Xue Wen Tan , Nathaniel Tan , Galen Lee , Stanley Kok