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In information theory, lossless compression of general data is based on an explicit assumption of a stochastic generative model on target data. However, in lossless image compression, the researchers have mainly focused on the coding…

Information Theory · Computer Science 2021-08-24 Yuta Nakahara , Toshiyasu Matsushima

We propose a hybrid stochastic method for the tensor renormalization group (TRG) approach. TRG is known as a powerful tool to study the many-body systems and quantum field theory on the lattice. It is based on a low-rank approximation of…

High Energy Physics - Lattice · Physics 2021-10-25 Hiroshi Ohki , Erika Arai , Masaaki Tomii

We present a Split Vector Quantized Variational Autoencoder (SVQ-VAE) architecture using a split vector quantizer for NTTS, as an enhancement to the well-known Variational Autoencoder (VAE) and Vector Quantized Variational Autoencoder…

Sound · Computer Science 2023-09-15 Marek Strong , Jonas Rohnke , Antonio Bonafonte , Mateusz Łajszczak , Trevor Wood

Vector quantised variational autoencoders (VQ-VAE) are characterised by three main components: 1) encoding visual data, 2) assigning $k$ different vectors in the so-called embedding space, and 3) decoding the learnt features. While images…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Arash Akbarinia , Raquel Gil-Rodríguez , Alban Flachot , Matteo Toscani

We propose an adaptive coding approach to achieve linear-quadratic-Gaussian (LQG) control with near-minimum bitrate prefix-free feedback. Our approach combines a recent analysis of a quantizer design for minimum rate LQG control with work…

Information Theory · Computer Science 2023-04-04 Travis C. Cuvelier , Takashi Tanaka , Robert W. Heath

In recent years Variation Autoencoders have become one of the most popular unsupervised learning of complicated distributions.Variational Autoencoder (VAE) provides more efficient reconstructive performance over a traditional autoencoder.…

Machine Learning · Statistics 2017-07-12 Gautam Ramachandra

In theory, vector quantization (VQ) is always better than scalar quantization (SQ) in terms of rate-distortion (R-D) performance. Recent state-of-the-art methods for neural image compression are mainly based on nonlinear transform coding…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Runsen Feng , Zongyu Guo , Weiping Li , Zhibo Chen

Least squares (LS) fitting is one of the most fundamental techniques in science and engineering. It is used to estimate parameters from multiple noisy observations. In many problems the parameters are known a-priori to be bounded integer…

Information Theory · Computer Science 2009-01-05 Amir Leshem , Jacob Goldberger

Integrating compositional and symbolic properties into current distributional semantic spaces can enhance the interpretability, controllability, compositionality, and generalisation capabilities of Transformer-based auto-regressive language…

Computation and Language · Computer Science 2026-04-16 Yingji Zhang , Danilo S. Carvalho , André Freitas

Neural audio coding has emerged as a vivid research direction by promising good audio quality at very low bitrates unachievable by classical coding techniques. Here, end-to-end trainable autoencoder-like models represent the state of the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-20 Andreas Brendel , Nicola Pia , Kishan Gupta , Lyonel Behringer , Guillaume Fuchs , Markus Multrus

The likelihood decoder is a stochastic decoder that selects the decoded message at random, using the posterior distribution of the true underlying message given the channel output. In this work, we study a generalized version of this…

Information Theory · Computer Science 2016-11-17 Neri Merhav

Optimization in the latent space of variational autoencoders is a promising approach to generate high-dimensional discrete objects that maximize an expensive black-box property (e.g., drug-likeness in molecular generation, function…

Machine Learning · Computer Science 2021-07-02 Pascal Notin , José Miguel Hernández-Lobato , Yarin Gal

Variational autoencoders (VAEs), as an important aspect of generative models, have received a lot of research interests and reached many successful applications. However, it is always a challenge to achieve the consistency between the…

Machine Learning · Computer Science 2022-05-10 Xiaoyu Chen , Chen Gong , Qiang He , Xinwen Hou , Yu Liu

An efficient and data-driven encoding scheme is proposed to enhance the performance of variational quantum classifiers. This encoding is specially designed for complex datasets like images and seeks to help the classification task by…

Quantum Physics · Physics 2025-09-22 Marco Mordacci , Mahul Pandey , Paolo Santini , Michele Amoretti

Standard variational lower bounds used to train latent variable models produce biased estimates of most quantities of interest. We introduce an unbiased estimator of the log marginal likelihood and its gradients for latent variable models…

Machine Learning · Computer Science 2020-07-14 Yucen Luo , Alex Beatson , Mohammad Norouzi , Jun Zhu , David Duvenaud , Ryan P. Adams , Ricky T. Q. Chen

We propose a novel probabilistic framework, termed LVM-GP, for uncertainty quantification in solving forward and inverse partial differential equations (PDEs) with noisy data. The core idea is to construct a stochastic mapping from the…

Machine Learning · Statistics 2025-07-31 Xiaodong Feng , Ling Guo , Xiaoliang Wan , Hao Wu , Tao Zhou , Wenwen Zhou

In this paper we propose a Non-Linear Predictive Vector quantizer (PVQ) for speech coding, based on Multi-Layer Perceptrons. We also propose a method to evaluate if a quantizer is well designed, and if it exploits the correlation between…

Machine Learning · Computer Science 2022-03-08 Marcos Faundez-Zanuy

In recent years, neural network based methods have been proposed as a method that cangenerate representations from music, but they are not human readable and hardly analyzable oreditable by a human. To address this issue, we propose a novel…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-29 Jinsung Kim , Yeong-Seok Jeong , Woosung Choi , Jaehwa Chung , Soonyoung Jung

We explore the possibility of improving probabilistic models in structured prediction. Specifically, we combine the models with constrained decoding approaches in the context of token classification for information extraction. The decoding…

Computation and Language · Computer Science 2023-12-07 Arthur Hemmer , Mickaël Coustaty , Nicola Bartolo , Jérôme Brachat , Jean-Marc Ogier

Vector quantization(VQ) is a lossy data compression technique from signal processing for which simple competitive learning is one standard method to quantize patterns from the input space. Extending competitive learning VQ to the domain of…

Computer Vision and Pattern Recognition · Computer Science 2010-01-07 Brijnesh J. Jain , Klaus Obermayer