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A geometrical pattern is a set of points with all pairwise distances (or, more generally, relative distances) specified. Finding matches to such patterns has applications to spatial data in seismic, astronomical, and transportation…

Databases · Computer Science 2017-03-09 Fabio Porto , Amir Khatibi , João R. Nobre , Eduardo Ogasawara , Patrick Valduriez , Dennis Shasha

Probabilistic Amplitude Shaping (PAS) is a coded-modulation scheme in which the encoder is a concatenation of a distribution matcher with a systematic Forward Error Correction (FEC) code. For reduced computational complexity the decoder can…

Information Theory · Computer Science 2018-06-05 Rana Ali Amjad

The field of astronomy is experiencing a data explosion driven by significant advances in observational instrumentation, and classical methods often fall short of addressing the complexity of modern astronomical datasets. Probabilistic…

Instrumentation and Methods for Astrophysics · Physics 2026-01-26 Abigail Sheerin , Giuseppe Vinci

World models compress rich sensory streams into compact latent codes that anticipate future observations. We let separate agents acquire such models from distinct viewpoints of the same environment without any parameter sharing or…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Haoran Zhang , Youjin Wang , Yi Duan , Rong Fu , Dianyu Zhao , Sicheng Fan , Shuaishuai Cao , Wentao Guo , Xiao Zhou

A probability distribution allows practitioners to uncover hidden structure in the data and build models to solve supervised learning problems using limited data. The focus of this report is on Variational autoencoders, a method to learn…

Machine Learning · Computer Science 2022-06-22 Vasanth Kalingeri

Recent works for attributed network clustering utilize graph convolution to obtain node embeddings and simultaneously perform clustering assignments on the embedding space. It is effective since graph convolution combines the structural and…

Machine Learning · Computer Science 2021-04-16 Shuiqiao Yang , Sunny Verma , Borui Cai , Jiaojiao Jiang , Kun Yu , Fang Chen , Shui Yu

We propose a method to learn object representations from 3D point clouds using bundles of geometrically interpretable hidden units, which we call geometric capsules. Each geometric capsule represents a visual entity, such as an object or a…

Machine Learning · Computer Science 2019-12-10 Nitish Srivastava , Hanlin Goh , Ruslan Salakhutdinov

We introduce a method for learning chaotic maps using an improved autoencoder neural network that incorporates a conjugacy layer in the latent space. The added conjugacy layer transforms nonlinear maps into a simple piecewise linear map…

Dynamical Systems · Mathematics 2025-07-15 Meagan Carney , Cecilia González-Tokman , Ruethaichanok Kardkasem , Hongkun Zhang

We present a mathematical and algorithmic scheme for learning the principal geometric elements in an image or 3D object. We build on recent work that convexifies the basic problem of finding a combination of a small number shapes that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-05 Alireza Aghasi , Justin Romberg

The Viterbi & Viterbi (V&V) algorithm is well understood for QPSK and 16-QAM, but modifications are required for higher-order modulation formats. We present an approach to extend the standard V&V algorithm for higher-order modulation…

Information Theory · Computer Science 2023-10-19 Andrej Rode , Wintana Araya Gebrehiwot , Shrinivas Chimmalgi , Laurent Schmalen

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

In this paper, we propose a semantic communication approach based on probabilistic graphical model (PGM). The proposed approach involves constructing a PGM from a training dataset, which is then shared as common knowledge between the…

Machine Learning · Computer Science 2024-08-09 Haowen Wan , Qianqian Yang , Jiancheng Tang , Zhiguo shi

Autoencoders allow to reconstruct a given input from a small set of parameters. However, the input size is often limited due to computational costs. We therefore propose a clustering and reassembling method for volumetric point clouds, in…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Stephan Antholzer , Martin Berger , Tobias Hell

Autoencoders are neural network formulations where the input and output of the network are identical and the goal is to identify the hidden representation in the provided datasets. Generally, autoencoders project the data nonlinearly onto a…

Signal Processing · Electrical Eng. & Systems 2019-07-10 Debjani Bhowick , Deepak K. Gupta , Saumen Maiti , Uma Shankar

We give an algorithm that learns a representation of data through compression. The algorithm 1) predicts bits sequentially from those previously seen and 2) has a structure and a number of computations similar to an autoencoder. The…

Computer Vision and Pattern Recognition · Computer Science 2011-08-05 Karol Gregor , Yann LeCun

This paper proposes using a sparse-structured multivariate Gaussian to provide a closed-form approximator for the output of probabilistic ensemble models used for dense image prediction tasks. This is achieved through a convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Ivor J. A. Simpson , Sara Vicente , Neill D. F. Campbell

In this study, we present a graph neural network-based learning approach using an autoencoder setup to derive low-dimensional variables from features observed in experimental crystal structures. These variables are then biased in enhanced…

Statistical Mechanics · Physics 2023-10-13 Ziyue Zou , Pratyush Tiwary

The use of regional coverage satellite constellations is on the rise, urging the need for an optimal constellation design method for complex regional coverage. Traditional constellations are often designed for continuous global coverage,…

Optimization and Control · Mathematics 2020-11-30 Hang Woon Lee , Seiichi Shimizu , Shoji Yoshikawa , Koki Ho

Dictionary learning is a versatile method to produce an overcomplete set of vectors, called atoms, to represent a given input with only a few atoms. In the literature, it has been used primarily for tasks that explore its powerful…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Alexander Köhler , Michael Breuß

In this paper we describe a general probabilistic framework for modeling waveforms such as heartbeats from ECG data. The model is based on segmental hidden Markov models (as used in speech recognition) with the addition of random effects to…

Applications · Statistics 2012-07-19 Seyoung Kim , Padhraic Smyth , Stefan Luther
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