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The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal…

Methodology · Statistics 2017-03-14 Fani Tsapeli , Peter Tino , Mirco Musolesi

Time series data, defined by equally spaced points over time, is essential in fields like medicine, telecommunications, and energy. Analyzing it involves tasks such as classification, clustering, prototyping, and regression. Classification…

Machine Learning · Computer Science 2025-02-27 Ali Ismail-Fawaz

Motion planning under sensing uncertainty is critical for robots in unstructured environments to guarantee safety for both the robot and any nearby humans. Most work on planning under uncertainty does not scale to high-dimensional robots…

In this work we explore encoding strategies learned by statistical models of sensory coding in noisy spiking networks. Early stages of sensory communication in neural systems can be viewed as encoding channels in the information-theoretic…

Neurons and Cognition · Quantitative Biology 2020-06-30 M. E. Rule , M. Sorbaro , M. H. Hennig

This letter reports on a new method of analysing experimentally gained time series with respect to different types of noise involved, namely, we show that it is possible to differentiate between dynamical and measurement noise. This method…

Data Analysis, Statistics and Probability · Physics 2009-11-07 M. Siefert , J. Peinke , R. Friedrich

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Human motion is inherently continuous and dynamic, posing significant challenges for generative models. While discrete generation methods are widely used, they suffer from limited expressiveness and frame-wise noise artifacts. In contrast,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Jungbin Cho , Junwan Kim , Jisoo Kim , Minseo Kim , Mingu Kang , Sungeun Hong , Tae-Hyun Oh , Youngjae Yu

Sparse and convolutional constraints form a natural prior for many optimization problems that arise from physical processes. Detecting motifs in speech and musical passages, super-resolving images, compressing videos, and reconstructing…

Computer Vision and Pattern Recognition · Computer Science 2014-06-11 Hilton Bristow , Simon Lucey

Neural encoding plays an important role in faithfully describing the temporally rich patterns, whose instances include human speech and environmental sounds. For tasks that involve classifying such spatio-temporal patterns with the Spiking…

Neural and Evolutionary Computing · Computer Science 2019-09-27 Zihan Pan , Jibin Wu , Yansong Chua , Malu Zhang , Haizhou Li

Conditional motion generation has been extensively studied in computer vision, yet two critical challenges remain. First, while masked autoregressive methods have recently outperformed diffusion-based approaches, existing masking models…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Zeyu Zhang , Yiran Wang , Wei Mao , Danning Li , Rui Zhao , Biao Wu , Zirui Song , Bohan Zhuang , Ian Reid , Richard Hartley

Optimization problems with continuous data appear in, e.g., robust machine learning, functional data analysis, and variational inference. Here, the target function is given as an integral over a family of (continuously) indexed target…

Machine Learning · Computer Science 2023-11-01 Kexin Jin , Jonas Latz , Chenguang Liu , Carola-Bibiane Schönlieb

We take an information theoretic perspective on a classical sparse-sampling noisy linear model and present an analytical expression for the mutual information, which plays central role in a variety of communications/processing problems.…

Information Theory · Computer Science 2014-03-25 Wasim Huleihel , Neri Merhav , Shlomo Shamai

Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and…

Data Analysis, Statistics and Probability · Physics 2016-07-27 Daniel Pumpe , Maksim Greiner , Ewald Müller , Torsten A. Enßlin

Life relies on the efficient performance of molecular codes, which relate symbols and meanings via error-prone molecular recognition. We describe how optimizing a code to withstand the impact of molecular recognition noise may be…

Quantitative Methods · Quantitative Biology 2010-07-26 Tsvi Tlusty

The identification and modeling of time-varying systems is a fundamental challenge in signal processing and system identification. To address this challenge, we propose a class of time-varying state-space model (SSM) based neural networks…

Machine Learning · Computer Science 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Sparse coding algorithms are about finding a linear basis in which signals can be represented by a small number of active (non-zero) coefficients. Such coding has many applications in science and engineering and is believed to play an…

Neural and Evolutionary Computing · Computer Science 2016-08-14 András Lőrincz , Zsolt Palotai , Gábor Szirtes

Differential equations and numerical methods are extensively used to model various real-world phenomena in science and engineering. With modern developments, we aim to find the underlying differential equation from a single observation of…

Numerical Analysis · Mathematics 2025-06-10 Roy Y. He , Hao Liu , Wenjing Liao , Sung Ha Kang

A motion taxonomy can encode manipulations as a binary-encoded representation, which we refer to as motion codes. These motion codes innately represent a manipulation action in an embedded space that describes the motion's mechanical…

Robotics · Computer Science 2021-06-02 Maxat Alibayev , David Paulius , Yu Sun

Various alignment problems arising in cryo-electron microscopy, community detection, time synchronization, computer vision, and other fields fall into a common framework of synchronization problems over compact groups such as Z/L, U(1), or…

Information Theory · Computer Science 2018-09-14 Amelia Perry , Alexander S. Wein , Afonso S. Bandeira , Ankur Moitra

Automated scientific discovery aims to improve scientific understanding through machine learning. A central approach in this field is symbolic regression, which uses genetic programming or sparse regression to learn interpretable…

Neural and Evolutionary Computing · Computer Science 2026-03-11 Sigur de Vries , Sander W. Keemink , Marcel A. J. van Gerven