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In this work, we study the numerical approximation of local fluctuations of certain classes of parabolic stochastic partial differential equations (SPDEs). Our focus is on effects for small spatially-correlated noise on a time scale before…

Numerical Analysis · Mathematics 2019-02-21 Christian Kuehn , Patrick Kuerschner

Lossy compression algorithms are typically designed to achieve the lowest possible distortion at a given bit rate. However, recent studies show that pursuing high perceptual quality would lead to increase of the lowest achievable distortion…

Information Theory · Computer Science 2021-06-15 Zeyu Yan , Fei Wen , Rendong Ying , Chao Ma , Peilin Liu

We consider a linear minimum mean squared error (LMMSE) estimation framework with model mismatch where the assumed model order is smaller than that of the underlying linear system which generates the data used in the estimation process. By…

Signal Processing · Electrical Eng. & Systems 2021-05-26 Martin Hellkvist , Ayça Özçelikkale

This paper introduces Laplace techniques for designing a neural network, with the goal of estimating simplex-constraint sparse vectors from compressed measurements. To this end, we recast the problem of MMSE estimation (w.r.t. a pre-defined…

Information Theory · Computer Science 2017-09-28 Steffen Limmer , Slawomir Stanczak

Despite the striking success of general protein folding models such as AlphaFold2(AF2, Jumper et al. (2021)), the accurate computational modeling of antibody-antigen complexes remains a challenging task. In this paper, we first analyze…

Quantitative Methods · Quantitative Biology 2024-07-03 Ruidong Wu , Ruihan Guo , Rui Wang , Shitong Luo , Yue Xu , Jiahan Li , Jianzhu Ma , Qiang Liu , Yunan Luo , Jian Peng

Detecting anomalous regions in images is a frequently encountered problem in industrial monitoring. A relevant example is the analysis of tissues and other products that in normal conditions conform to a specific texture, while defects…

Computer Vision and Pattern Recognition · Computer Science 2022-08-31 Andrea Bionda , Luca Frittoli , Giacomo Boracchi

Fractional-order differential equations (FDEs) enhance traditional differential equations by extending the order of differential operators from integers to real numbers, offering greater flexibility in modeling complex dynamical systems…

Machine Learning · Computer Science 2025-03-24 Qiyu Kang , Xuhao Li , Kai Zhao , Wenjun Cui , Yanan Zhao , Weihua Deng , Wee Peng Tay

In the linear minimum mean square error (LMMSE) estimation for orthogonal frequency division multiplexing (OFDM) systems, the problem about the determination of the algorithm's parameters, especially those related with channel frequency…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Kai Mei , Jun Liu , Xiaoran Liu , Jun Xiong , Xiaoying Zhang , Jibo Wei

We analyze the mean-squared error (MSE) performance of widely linear (WL) and conventional subspace-based channel estimation for single-input multiple-output (SIMO) flat-fading channels employing binary phase-shift-keying (BPSK) modulation…

Information Theory · Computer Science 2015-05-28 Saeed Abdallah , Ioannis N. Psaromiligkos

Sparse autoencoders (SAEs) have gained a lot of attention as a promising tool to improve the interpretability of large language models (LLMs) by mapping the complex superposition of polysemantic neurons into monosemantic features and…

Computation and Language · Computer Science 2025-02-19 Gouki Minegishi , Hiroki Furuta , Yusuke Iwasawa , Yutaka Matsuo

Audio-visual learning helps to comprehensively understand the world by fusing practical information from multiple modalities. However, recent studies show that the imbalanced optimization of uni-modal encoders in a joint-learning model is a…

Sound · Computer Science 2023-03-14 Ruize Xu , Ruoxuan Feng , Shi-Xiong Zhang , Di Hu

Sign-based algorithms (e.g. signSGD) have been proposed as a biased gradient compression technique to alleviate the communication bottleneck in training large neural networks across multiple workers. We show simple convex counter-examples…

Machine Learning · Computer Science 2019-05-30 Sai Praneeth Karimireddy , Quentin Rebjock , Sebastian U. Stich , Martin Jaggi

Stacked AutoEncoders (SAE) have been widely adopted in edge anomaly detection scenarios. However, the resource-intensive nature of SAE can pose significant challenges for edge devices, which are typically resource-constrained and must adapt…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Lizhao Zhang , Shengsong Kong , Tao Guo , Shaobo Li , Zhenzhou Ji

In this manuscript, we propose to use a variational autoencoder-based framework for parameterizing a conditional linear minimum mean squared error estimator. The variational autoencoder models the underlying unknown data distribution as…

Signal Processing · Electrical Eng. & Systems 2024-08-23 Michael Baur , Benedikt Fesl , Wolfgang Utschick

This work investigates three methods for calculating loss for autoencoder-based pretraining of image encoders: The commonly used reconstruction loss, the more recently introduced deep perceptual similarity loss, and a feature prediction…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 Gustav Grund Pihlgren , Fredrik Sandin , Marcus Liwicki

Blind inverse problems arise in many experimental settings where both the signal of interest and the forward operator are (partially) unknown. In this context, methods developed for the non-blind case cannot be adapted in a straightforward…

Machine Learning · Computer Science 2026-04-21 Nathan Buskulic , Luca Calatroni , Lorenzo Rosasco , Silvia Villa

Mean square error (MSE) has been the preferred choice as loss function in the current deep neural network (DNN) based speech separation techniques. In this paper, we propose a new cost function with the aim of optimizing the extended short…

Sound · Computer Science 2018-07-19 Gaurav Naithani , Joonas Nikunen , Lars Bramsløw , Tuomas Virtanen

Deep neural networks for medical image segmentation are often overconfident, compromising both reliability and clinical utility. In this work, we propose differentiable formulations of marginal L1 Average Calibration Error (mL1-ACE) as an…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Theodore Barfoot , Luis C. Garcia-Peraza-Herrera , Samet Akcay , Ben Glocker , Tom Vercauteren

An additive autoencoder for dimension reduction, which is composed of a serially performed bias estimation, linear trend estimation, and nonlinear residual estimation, is proposed and analyzed. Computational experiments confirm that an…

Machine Learning · Computer Science 2022-10-14 Tommi Kärkkäinen , Jan Hänninen

In order to devise an anomaly detection model using only normal training data, an autoencoder (AE) is typically trained to reconstruct the data. As a result, the AE can extract normal representations in its latent space. During test time,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Marcella Astrid , Muhammad Zaigham Zaheer , Seung-Ik Lee