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In the application of linear network coding to wireless broadcasting with feedback, we prove that the problem of determining the existence of an innovative encoding vector is NP-complete when the finite field size is two. When the finite…

Information Theory · Computer Science 2016-11-17 Ho Yuet Kwan , Kenneth W. Shum , Chi Wan Sung

Complex Query Answering (CQA) is an important and fundamental task for knowledge graph (KG) reasoning. Query encoding (QE) is proposed as a fast and robust solution to CQA. In the encoding process, most existing QE methods first parse the…

Computation and Language · Computer Science 2023-06-27 Jiaxin Bai , Tianshi Zheng , Yangqiu Song

We introduce a general framework called neural network (NN) encoded variational quantum algorithms (VQAs), or NN-VQA for short, to address the challenges of implementing VQAs on noisy intermediate-scale quantum (NISQ) computers.…

Quantum Physics · Physics 2024-02-06 Jiaqi Miao , Chang-Yu Hsieh , Shi-Xin Zhang

We study the joint distribution of the input sum and the output sum of a deterministic transducer. Here, the input of this finite-state machine is a uniformly distributed random sequence. We give a simple combinatorial characterization of…

Combinatorics · Mathematics 2015-04-14 Clemens Heuberger , Sara Kropf , Stephan Wagner

Recently, Babenko and Lempitsky introduced Additive Quantization (AQ), a generalization of Product Quantization (PQ) where a non-independent set of codebooks is used to compress vectors into small binary codes. Unfortunately, under this…

Computer Vision and Pattern Recognition · Computer Science 2014-11-11 Julieta Martinez , Holger H. Hoos , James J. Little

Inverse problems are fundamental to many scientific and engineering disciplines; they arise when one seeks to reconstruct hidden, underlying quantities from noisy measurements. Many applications demand not just point estimates but…

Machine Learning · Computer Science 2026-02-11 Jack Michael Solomon , Rishi Leburu , Matthias Chung

Variational Quantum Algorithms (VQAs) have emerged as promising methods for tackling complex problems on near-term quantum devices. Among these algorithms, the Variational Quantum Linear Solver (VQLS) addresses linear systems of the form…

Quantum Physics · Physics 2024-09-11 Gloria Turati , Alessia Marruzzo , Maurizio Ferrari Dacrema , Paolo Cremonesi

Learning deep discrete latent presentations offers a promise of better symbolic and summarized abstractions that are more useful to subsequent downstream tasks. Inspired by the seminal Vector Quantized Variational Auto-Encoder (VQ-VAE),…

Machine Learning · Computer Science 2023-06-21 Tung-Long Vuong , Trung Le , He Zhao , Chuanxia Zheng , Mehrtash Harandi , Jianfei Cai , Dinh Phung

The role of gauge invariance is reconsidered by "deriving it without assuming it" within an autonomous approach to interactions of Standard Model particles. In this approach, the renormalizable interactions are purely constrained by quantum…

High Energy Physics - Theory · Physics 2026-05-26 Karl-Henning Rehren

Generative models of graphs are well-known, but many existing models are limited in scalability and expressivity. We present a novel sequential graphical variational autoencoder operating directly on graphical representations of data. In…

Machine Learning · Computer Science 2019-12-18 Bowen Jing , Ethan A. Chi , Jillian Tang

Many real-world problems in machine learning, signal processing, and communications assume that an unknown vector $x$ is measured by a matrix A, resulting in a vector $y=Ax+z$, where $z$ denotes the noise; we call this a single measurement…

Information Theory · Computer Science 2017-07-13 Junan Zhu

The Gaussianity assumption has been consistently criticized as a main limitation of the Variational Autoencoder (VAE) despite its efficiency in computational modeling. In this paper, we propose a new approach that expands the model capacity…

Machine Learning · Statistics 2023-10-30 Seunghwan An , Jong-June Jeon

Vector Quantized Variational AutoEncoders (VQ-VAE) are a powerful representation learning framework that can discover discrete groups of features from a speech signal without supervision. Until now, the VQ-VAE architecture has previously…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-19 Yi Zhao , Haoyu Li , Cheng-I Lai , Jennifer Williams , Erica Cooper , Junichi Yamagishi

Recent state-of-the-art neural audio compression models have progressively adopted residual vector quantization (RVQ). Despite this success, these models employ a fixed number of codebooks per frame, which can be suboptimal in terms of…

Recent advancements in quantum annealing hardware and numerous studies in this area suggests that quantum annealers have the potential to be effective in solving unconstrained binary quadratic programming problems. Naturally, one may desire…

Quantum Physics · Physics 2019-03-01 Sahar Karimi , Pooya Ronagh

Voice conversion (VC) is a task that transforms the source speaker's timbre, accent, and tones in audio into another one's while preserving the linguistic content. It is still a challenging work, especially in a one-shot setting.…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-09 Da-Yi Wu , Yen-Hao Chen , Hung-Yi Lee

Deep neural networks with discrete latent variables offer the promise of better symbolic reasoning, and learning abstractions that are more useful to new tasks. There has been a surge in interest in discrete latent variable models, however,…

Machine Learning · Computer Science 2018-07-23 Aurko Roy , Ashish Vaswani , Arvind Neelakantan , Niki Parmar

The framework of variational autoencoders (VAEs) provides a principled method for jointly learning latent-variable models and corresponding inference models. However, the main drawback of this approach is the blurriness of the generated…

Machine Learning · Computer Science 2020-07-01 Ioannis Gatopoulos , Maarten Stol , Jakub M. Tomczak

Dual-Encoders is a promising mechanism for answer retrieval in question answering (QA) systems. Currently most conventional Dual-Encoders learn the semantic representations of questions and answers merely through matching score. Researchers…

Computation and Language · Computer Science 2022-06-08 Yanmeng Wang , Jun Bai , Ye Wang , Jianfei Zhang , Wenge Rong , Zongcheng Ji , Shaojun Wang , Jing Xiao

Deep learning-based semantic communication has largely relied on analog or semi-digital transmission, which limits compatibility with modern digital communication infrastructures. Recent studies have employed vector quantization (VQ) to…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Zian Meng , Qiang Li , Wenqian Tang , Mingdie Yan , Xiaohu Ge