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Diffusion models have emerged as a powerful class of generative models by learning to iteratively reverse the noising process. Their ability to generate high-quality samples has extended beyond high-dimensional image data to other complex…

Machine Learning · Computer Science 2025-09-03 Srinivas Anumasa , Barath Chandran. C , Tingting Chen , Dianbo Liu

Diffusion-based generative models employ stochastic differential equations (SDEs) and their equivalent probability flow ordinary differential equations (ODEs) to establish a smooth transformation between complex high-dimensional data…

Machine Learning · Computer Science 2025-12-12 Defang Chen , Zhenyu Zhou , Can Wang , Siwei Lyu

Experimental studies on enzyme evolution show that only a small fraction of all possible mutation trajectories are accessible to evolution. However, these experiments deal with individual enzymes and explore a tiny part of the fitness…

Populations and Evolution · Quantitative Biology 2015-05-30 Alexander E. Lobkovsky , Yuri I. Wolf , Eugene V. Koonin

Proteins evolve through complex sequence spaces, with fitness landscapes serving as a conceptual framework that links sequence to function. Fitness landscapes can be smooth, where multiple similarly accessible evolutionary paths are…

Populations and Evolution · Quantitative Biology 2024-11-21 Mahakaran Sandhu , John Chen , Dana Matthews , Matthew A Spence , Sacha B Pulsford , Barnabas Gall , James Nichols , Nobuhiko Tokuriki , Colin J Jackson

Have you ever been troubled by the complexity and computational cost of SE(3) protein structure modeling and been amazed by the simplicity and power of language modeling? Recent work has shown promise in simplifying protein structures as…

Quantitative Methods · Quantitative Biology 2023-01-25 Zhangyang Gao , Cheng Tan , Stan Z. Li

Protein structure prediction and folding are fundamental to understanding biology, with recent deep learning advances reshaping the field. Diffusion-based generative models have revolutionized protein design, enabling the creation of novel…

Machine Learning · Computer Science 2025-10-01 Yogesh Verma , Markus Heinonen , Vikas Garg

Proteins populate a manifold in the high-dimensional sequence space whose geometrical structure guides their natural evolution. Leveraging recently-developed structure prediction tools based on transformer models, we first examine the…

Biomolecules · Quantitative Biology 2023-11-13 A. Zambon , R. Zecchina , G. Tiana

Generative diffusion models have achieved remarkable success in producing high-quality images. However, these models typically operate in continuous intensity spaces, diffusing independently across pixels and color channels. As a result,…

Graphics · Computer Science 2025-05-20 Javier E. Santos , Agnese Marcato , Roman Colman , Nicholas Lubbers , Yen Ting Lin

Continuous diffusion is a natural framework for non-autoregressive generation but has generally lagged behind masked discrete diffusion models (MDMs) on discrete sequence generation. We argue that the bottleneck is not continuity itself,…

Machine Learning · Computer Science 2026-05-22 Yunshu Wu , Jiayi Cheng , Longxuan Yu , Partha Thakuria , Rob Brekelmans , Evangelos E. Papalexakis , Greg Ver Steeg

Continuous diffusion is a natural framework for non-autoregressive generation but has generally lagged behind masked discrete diffusion models (MDMs) on discrete sequence generation. We argue that the bottleneck is not continuity itself,…

Machine Learning · Computer Science 2026-05-22 Yunshu Wu , Jiayi Cheng , Longxuan Yu , Partha Thakuria , Rob Brekelmans , Evangelos E. Papalexakis , Greg Ver Steeg

The ability to engineer novel proteins with higher fitness for a desired property would be revolutionary for biotechnology and medicine. Modeling the combinatorially large space of sequences is infeasible; prior methods often constrain…

Biomolecules · Quantitative Biology 2024-03-05 Andrew Kirjner , Jason Yim , Raman Samusevich , Shahar Bracha , Tommi Jaakkola , Regina Barzilay , Ila Fiete

Diffusion models excel at capturing the natural design spaces of images, molecules, DNA, RNA, and protein sequences. However, rather than merely generating designs that are natural, we often aim to optimize downstream reward functions while…

Combining the signed distance function (SDF) and differentiable volume rendering has emerged as a powerful paradigm for surface reconstruction from multi-view images without 3D supervision. However, current methods are impeded by requiring…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Rui Peng , Xiaodong Gu , Luyang Tang , Shihe Shen , Fanqi Yu , Ronggang Wang

We introduce a new generative approach for synthesizing 3D geometry and images from single-view collections. Most existing approaches predict volumetric density to render multi-view consistent images. By employing volumetric rendering using…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Salvatore Esposito , Qingshan Xu , Kacper Kania , Charlie Hewitt , Octave Mariotti , Lohit Petikam , Julien Valentin , Arno Onken , Oisin Mac Aodha

Score distillation sampling (SDS), the methodology in which the score from pretrained 2D diffusion models is distilled into 3D representation, has recently brought significant advancements in text-to-3D generation task. However, this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Min-Seop Kwak , Donghoon Ahn , Ines Hyeonsu Kim , Jin-Hwa Kim , Seungryong Kim

Understanding causal dependencies in observational data is critical for informing decision-making. These relationships are often modeled as Bayesian Networks (BNs) and Directed Acyclic Graphs (DAGs). Existing methods, such as NOTEARS and…

Machine Learning · Computer Science 2026-04-03 Hao Zhu , Di Zhou , Donna Slonim

Predicting stable and metastable structures is central to molecular and materials discovery, but remains limited by the cost of searching high-dimensional energy landscapes. Deep generative models offer efficient structure sampling, yet…

Artificial Intelligence · Computer Science 2026-05-26 Yifang Qin , Yu Shi , Junfu Tan , Chang Liu , Ming Zhang , Ziheng Lu

Data-driven methods have recently made great progress in the discovery of partial differential equations (PDEs) from spatial-temporal data. However, several challenges remain to be solved, including sparse noisy data, incomplete candidate…

Computational Physics · Physics 2021-09-28 Hao Xu , Dongxiao Zhang , Junsheng Zeng

Non-native conformations drive protein misfolding diseases, complicate bioengineering efforts, and fuel molecular evolution. No current experimental technique is well-suited for elucidating them and their phenotypic effects. Especially…

We investigate an simple evolutionary game of sequences and demonstrate on this example the structure of fitness landscapes in discrete problems. We show the smoothing action of the genotype-phenotype mapping which still makes it feasible…

adap-org · Physics 2008-02-03 Torsten Asselmeyer , Werner Ebeling , Helge Rose
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