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4D medical image interpolation is essential for improving temporal resolution and diagnostic precision in clinical applications. Previous works ignore the problem of distribution shifts, resulting in poor generalization under different…

Image and Video Processing · Electrical Eng. & Systems 2025-02-05 Qikang Zhang , Yingjie Lei , Zihao Zheng , Ziyang Chen , Zhonghao Xie

This paper considers the problem of sampling and reconstruction of a continuous-time sparse signal without assuming the knowledge of the sampling instants or the sampling rate. This topic has its roots in the problem of recovering multiple…

Information Theory · Computer Science 2017-01-31 Ayush Bhandari , Aurelien Bourquard , Ramesh Raskar

Many empirical studies suggest that samples of continuous-time signals taken at locations randomly deviated from an equispaced grid (i.e., off-the-grid) can benefit signal acquisition, e.g., undersampling and anti-aliasing. However,…

Information Theory · Computer Science 2025-09-10 Oscar López , Özgür Yılmaz

Inference-time sampling can elicit strong reasoning abilities from language models without additional training. Existing power-sampling methods do so by sharpening the distribution over full generated outputs, favoring completions that are…

Machine Learning · Computer Science 2026-05-28 Aleksei Arzhantsev , Otmane Sakhi , Nicolas Chopin

In clinical trials, multiple outcomes of different priorities commonly occur as the patient's response may not be adequately characterized by a single outcome. Win statistics are appealing summary measures for between-group difference at…

Methodology · Statistics 2025-06-04 Ying Cui , Bo Huang , Gaohong Dong , Ryuji Uozumi , Lu Tian

We investigate time encoding as an alternative method to classical sampling, and address the problem of reconstructing classes of non-bandlimited signals from time-based samples. We consider a sampling mechanism based on first filtering the…

Signal Processing · Electrical Eng. & Systems 2019-12-17 Roxana Alexandru , Pier Luigi Dragotti

We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexact, the rigorous enforcement of multichannel interpolation is…

Information Theory · Computer Science 2022-09-20 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

We study the problem of coincidence detection in time series data, where we aim to determine whether the appearance of simultaneous or near-simultaneous events in two time series is indicative of some shared underlying signal or…

Statistics Theory · Mathematics 2026-01-21 Ruiting Liang , Samuel Dyson , Rina Foygel Barber , Daniel E. Holz

Lebesgue sampling is based on collecting information depending on the values of the signal. Although the interpolation methods for periodic sampling have been a topic of research for a long time, there is a lack of study in methods capable…

Signal Processing · Electrical Eng. & Systems 2019-06-10 Matthieu Bellucci , Luis Miralles , M. Atif Qureshi , Brian Mac Namee

We study the problem of interpolating a noisy Fourier-sparse signal in the time duration $[0, T]$ from noisy samples in the same range, where the ground truth signal can be any $k$-Fourier-sparse signal with band-limit $[-F, F]$. Our main…

Data Structures and Algorithms · Computer Science 2023-02-09 Zhao Song , Baocheng Sun , Omri Weinstein , Ruizhe Zhang

The event camera is a novel bio-inspired vision sensor. When the brightness change exceeds the preset threshold, the sensor generates events asynchronously. The number of valid events directly affects the performance of event-based tasks,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Xijie Xiang , Lin Zhu , Jianing Li , Yonghong Tian , Tiejun Huang

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Marek W. Rupniewski

Monitoring Wireless Sensor Networks (WSNs) are composed of sensor nodes that report temperature, relative humidity, and other environmental parameters. The time between two successive measurements is a critical parameter to set during the…

Networking and Internet Architecture · Computer Science 2016-07-13 Gabriel Martins Dias , Maddalena Nurchis , Boris Bellalta

Analyzing numerous or long time series is difficult in practice due to the high storage costs and computational requirements. Therefore, techniques have been proposed to generate compact similarity-preserving representations of time series,…

Machine Learning · Computer Science 2022-08-29 Pieter Robberechts , Wannes Meert , Jesse Davis

Time-lapse image sequences offer visually compelling insights into dynamic processes that are too slow to observe in real time. However, playing a long time-lapse sequence back as a video often results in distracting flicker due to random…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Erik Härkönen , Miika Aittala , Tuomas Kynkäänniemi , Samuli Laine , Timo Aila , Jaakko Lehtinen

Irregularly sampled multivariate time series are ubiquitous in various fields, particularly in healthcare, and exhibit two key characteristics: intra-series irregularity and inter-series discrepancy. Intra-series irregularity refers to the…

Machine Learning · Computer Science 2023-06-19 Jiawen Zhang , Shun Zheng , Wei Cao , Jiang Bian , Jia Li

In some studies \citep[e.g.,][]{zhang2016understanding} of deep learning, it is observed that over-parametrized deep neural networks achieve a small testing error even when the training error is almost zero. Despite numerous works towards…

Machine Learning · Statistics 2022-02-25 Yue Xing , Qifan Song , Guang Cheng

We develop a formal framework for the behavioral comparison of linear systems across different time domains. We accomplish this by introducing the notion of system interpolation, which determines whether the input-state trajectories of a…

Optimization and Control · Mathematics 2026-02-26 Armin Pirastehzad , Bart Besselink

Multivariate time series alignment is critical for ensuring coherent analysis across variables, but missing values and timestamp inconsistencies make this task highly challenging. Existing approaches often rely on prior imputation, which…

Databases · Computer Science 2025-12-23 Ding Jia , Jingyu Zhu , Yu Sun , Aoqian Zhang , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

Spin squeezing can increase the sensitivity of interferometric measurements of small signals in large spin ensembles beyond the standard quantum limit. In many practical settings, the ideal metrological gain is limited by imperfect readout…

Quantum Physics · Physics 2024-07-02 Martin Koppenhöfer , A. A. Clerk