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We consider the discrete-time filtering problem in scenarios where the observation noise is degenerate or low. More precisely, one is given access to a discrete time observation sequence which at any time $k$ depends only on the state of an…

Computation · Statistics 2025-11-17 Abylay Zhumekenov , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

Quartz nanopipettes are an important emerging class of electric single-molecule sensors for DNA, proteins, their complexes as well as other biomolecular targets. However, in comparison to other resistive pulse sensors, nanopipettes…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Rand A. Al-Waqfi , Cengiz Khan , Oliver J. Irving , Lauren Matthews , Tim Albrecht

We consider protocols for estimating the parameter in a single-parameter unital qubit channel, assuming that the available initial states are highly mixed with very low purity. We compare two protocols, each invoking the channel once, via…

Quantum Physics · Physics 2026-04-14 David Collins , Taylor Larrechea

Owing to its several merits over other DNA sequencing technologies, nanopore sequencers hold an immense potential to revolutionize the efficiency of DNA storage systems. However, their higher error rates necessitate further research to…

Information Theory · Computer Science 2024-05-08 Anisha Banerjee , Yonatan Yehezkeally , Antonia Wachter-Zeh , Eitan Yaakobi

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

Machine Learning · Computer Science 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

This paper proposes a machine learning-assisted channel estimation approach for massive MIMO systems, leveraging DNNs to outperform traditional LS and MMSE methods. In 5G and beyond, accurate channel estimation mitigates pilot contamination…

Signal Processing · Electrical Eng. & Systems 2025-10-16 Haoran He

Previously proposed FullSubNet has achieved outstanding performance in Deep Noise Suppression (DNS) Challenge and attracted much attention. However, it still encounters issues such as input-output mismatch and coarse processing for…

Sound · Computer Science 2022-03-29 Jun Chen , Zilin Wang , Deyi Tuo , Zhiyong Wu , Shiyin Kang , Helen Meng

Synthetic DNA approaches 227.5 exabytes per gram of storage density with stability over millennial timescales. Realising this capacity requires error-correction codes that recover data from substantial synthesis and sequencing errors.…

Information Theory · Computer Science 2026-04-23 James L. Banal

Finding optimal and noise robust probe states is a key problem in quantum metrology. In this paper we propose Markov dynamics as a possible mechanism for generating such states, and show how the Heisenberg scaling emerges for systems with…

Quantum Physics · Physics 2015-06-18 Catalin Catana , Madalin Guta

A real-time communication system with two encoders communicating with a single receiver over separate noisy channels is considered. The two encoders make distinct partial observations of a Markov source. Each encoder must encode its…

Information Theory · Computer Science 2009-10-27 Ashutosh Nayyar , Demosthenis Teneketzis

Denoising diffusion probabilistic models and score-matching models have proven to be very powerful for generative tasks. While these approaches have also been applied to the generation of discrete graphs, they have, so far, relied on…

Machine Learning · Computer Science 2023-08-17 Kilian Konstantin Haefeli , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

The increased temporal and spectral resolution of oversampled systems allows many sensor-signal analysis tasks to be performed (e.g. detection, classification and tracking) using a filterbank of low-pass digital differentiators. Such…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Hugh L. Kennedy

Adopting a two-stage paradigm of pretraining followed by fine-tuning, Pretrained Language Models (PLMs) have achieved substantial advancements in the field of natural language processing. However, in real-world scenarios, data labels are…

Computation and Language · Computer Science 2023-11-03 Song Wang , Zhen Tan , Ruocheng Guo , Jundong Li

We consider a toy model of noise channels, given by a random mixture of unitary operations, for state transfer problems with continuous variables. Assuming that the path between the transmitter node and the receiver node can be intervened,…

Quantum Physics · Physics 2024-02-16 Fattah Sakuldee , Behnam Tonekaboni

Previous work on neural noisy channel modeling relied on latent variable models that incrementally process the source and target sentence. This makes decoding decisions based on partial source prefixes even though the full source is…

Computation and Language · Computer Science 2019-08-19 Kyra Yee , Nathan Ng , Yann N. Dauphin , Michael Auli

DNA is a promising medium for digital information storage for its exceptional density and durability. While prior studies advanced coding theory, workflow design, and simulation tools, challenges such as synthesis costs, sequencing errors,…

Emerging Technologies · Computer Science 2025-10-06 Rakesh Thakur , Lavanya Singh , Yashika , Manomay Bundawala , Aruna Kumar

Noisy labels are inevitable in real-world scenarios. Due to the strong capacity of deep neural networks to memorize corrupted labels, these noisy labels can cause significant performance degradation. Existing research on mitigating the…

Machine Learning · Computer Science 2025-10-02 Xinlei Zhang , Fan Liu , Chuanyi Zhang , Fan Cheng , Yuhui Zheng

Biochemical signal transduction, a form of molecular communication, can be modeled using graphical Markov channels with input-modulated transition rates. Such channel models are strongly non-Gaussian. In this paper we use a linear noise…

Quantitative Methods · Quantitative Biology 2019-08-30 Gregory R. Hessler , Andrew W. Eckford , Peter J. Thomas

Temporary changes in electrical resistance of a nanopore sensor caused by translocating target analytes are recorded as a sequence of pulses on current traces. Prevalent algorithms for feature extraction in pulse-like signals lack…

Signal Processing · Electrical Eng. & Systems 2021-05-11 Dario Dematties , Chenyu Wen , Mauricio David Pérez , Dian Zhou , Shi-Li Zhang

Molecular separation traditionnally relies on sieving processes across passive nanoporous membranes. Here we explore theoretically the concept of non-equilibrium active sieving. We investigate a simple model for an active noisy nanopore,…

Soft Condensed Matter · Physics 2017-10-23 Sophie Marbach , Lydéric Bocquet