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We propose a unified diffusion model-based correction and super-resolution method to enhance the fidelity and resolution of diverse low-quality data through a two-step pipeline. First, the correction step employs a novel enhanced stochastic…

Numerical Analysis · Mathematics 2025-05-15 Wuzhe Xu , Yulong Lu , Sifan Wang , Tong-Rui Liu

RNA structure determination is essential for understanding its biological functions. However, the reconstruction process often faces challenges, such as atomic clashes, which can lead to inaccurate models. To address these challenges, we…

Biomolecules · Quantitative Biology 2026-03-04 Menghao Wu , Zhigang Yao

Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble- averaged density of states without exact…

Disordered Systems and Neural Networks · Physics 2012-11-07 Jiahao Chen , Eric Hontz , Jeremy Moix , Matthew Welborn , Troy Van Voorhis , Alberto Suárez , Ramis Movassagh , Alan Edelman

Existing multimedia recommender systems provide users with suggestions of media by evaluating the similarities, such as games and movies. To enhance the semantics and explainability of embeddings, it is a consensus to apply additional…

Information Retrieval · Computer Science 2025-09-04 Yunqi Mi , Boyang Yan , Guoshuai Zhao , Jialie Shen , Xueming Qian

The problem of RNA secondary structure design (also called inverse folding) is the following: given a target secondary structure, one aims to create a sequence that folds into, or is compatible with, a given structure. In several practical…

Quantitative Methods · Quantitative Biology 2013-08-02 Yu Zhou , Yann Ponty , Stéphane Vialette , Jérôme Waldispühl , Yi Zhang , Alain Denise

The history of the seemingly simple problem of straight line fitting in the presence of both $x$ and $y$ errors has been fraught with misadventure, with statistically ad hoc and poorly tested methods abounding in the literature. The problem…

Methodology · Statistics 2023-11-15 Deaglan Bartlett , Harry Desmond

Fully computable a posteriori error estimates in the energy norm are given for singularly perturbed semilinear reaction-diffusion equations posed in polygonal domains. Linear finite elements are considered on anisotropic triangulations. To…

Numerical Analysis · Mathematics 2017-07-20 Natalia Kopteva

Integrative biomolecular modeling of RNA relies on structural refined collections and accurate experimental data that reflect binding and folding behavior. However, the prediction of such collections remains challenging due to the rugged…

The simple entropic method to statistical reconstructing of heterogeneous three-dimensional media from a single two-dimensional image is briefly reported. We apply the entropic descriptor quantifying spatial inhomogeneity that depends on…

Statistical Mechanics · Physics 2015-11-18 D. Frączek , W. Olchawa , R. Piasecki , R. Wiśniowski

Unsupervised learning-based medical image registration approaches have witnessed rapid development in recent years. We propose to revisit a commonly ignored while simple and well-established principle: recursive refinement of deformation…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Xinzi He , Jia Guo , Xuzhe Zhang , Hanwen Bi , Sarah Gerard , David Kaczka , Amin Motahari , Eric Hoffman , Joseph Reinhardt , R. Graham Barr , Elsa Angelini , Andrew Laine

Depth completion aims to recover dense depth maps from sparse depth measurements. It is of increasing importance for autonomous driving and draws increasing attention from the vision community. Most of existing methods directly train a…

Computer Vision and Pattern Recognition · Computer Science 2019-10-16 Yan Xu , Xinge Zhu , Jianping Shi , Guofeng Zhang , Hujun Bao , Hongsheng Li

Background: In the Nearest-Neighbor Thermodynamic Model, a standard approach for RNA secondary structure prediction, the energy of the multiloops is modeled using a linear entropic penalty governed by three branching parameters. Although…

Biomolecules · Quantitative Biology 2025-10-15 Svetlana Poznanović , Owen Cardwell , Christine Heitsch

Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding highly resolved, uniform discretitization in numerical…

Numerical Analysis · Mathematics 2019-08-27 Andreas Fischer , Bernhard Eidel

With the emergence of 3D foundation models, there is growing interest in fine-tuning them for downstream tasks, where LoRA is the dominant fine-tuning paradigm. As 3D datasets exhibit distinct variations in texture, geometry, camera motion,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Yu Jiang , Hanwen Jiang , Ahmed Abdelkader , Wen-Sheng Chu , Brandon Y. Feng , Zhangyang Wang , Qixing Huang

A maximally stable extreme region (MSER) analysis based convolutional neural network (CNN) for unified defect detection framework is proposed in this paper. Our proposed framework utilizes the generality and stability of MSER to generate…

Signal Processing · Electrical Eng. & Systems 2020-05-26 Zelin Deng , Xiaolong Yan , Shengjun Zhang , Colleen P. Bailey

While artificial intelligence has made remarkable strides in revealing the relationship between biological macromolecules' primary sequence and tertiary structure, designing RNA sequences based on specified tertiary structures remains…

Biomolecules · Quantitative Biology 2024-03-08 Cheng Tan , Yijie Zhang , Zhangyang Gao , Bozhen Hu , Siyuan Li , Zicheng Liu , Stan Z. Li

Advances in unsupervised learning of object-representations have culminated in the development of a broad range of methods for unsupervised object segmentation and interpretable object-centric scene generation. These methods, however, are…

Computer Vision and Pattern Recognition · Computer Science 2022-01-26 Martin Engelcke , Oiwi Parker Jones , Ingmar Posner

Explainable recommendation is a technique that combines prediction and generation tasks to produce more persuasive results. Among these tasks, textual generation demands large amounts of data to achieve satisfactory accuracy. However,…

Social and Information Networks · Computer Science 2024-05-28 Hao Cheng , Shuo Wang , Wensheng Lu , Wei Zhang , Mingyang Zhou , Kezhong Lu , Hao Liao

A novel method combining maximum entropy principle, the Bayesian-inference of ensembles approach, and the optimization of empirical forward models is presented. Here we focus on the Karplus parameters for RNA systems, which relate the…

Chemical Physics · Physics 2023-06-06 Thorben Fröhlking , Mattia Bernetti , Giovanni Bussi

Deep convolutional neural networks achieve remarkable performance by exhaustively processing dense spatial feature maps, yet this brute-force strategy introduces significant computational redundancy and encourages reliance on spurious…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Tom Devynck , Bilal Faye , Djamel Bouchaffra , Nadjib Lazaar , Hanane Azzag , Mustapha Lebbah
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