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Recently, the attention-enhanced multi-layer encoder, such as Transformer, has been extensively studied in Machine Reading Comprehension (MRC). To predict the answer, it is common practice to employ a predictor to draw information only from…

Computation and Language · Computer Science 2021-02-03 Nuo Chen , Fenglin Liu , Chenyu You , Peilin Zhou , Yuexian Zou

Density map estimation enables accurate object counting in heavily occluded, and densely packed scenes where detection-based counting fails. In multi-class density estimation, class awareness can be introduced by modelling classes…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Villanelle O'Reilly , Jonathan Cox , Georgios Leontidis , Marc Hanheide , Petra Bosilj , James M. Brown

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

Score-based diffusion models have emerged as a powerful class of generative methods, achieving state-of-the-art performance across diverse domains. Despite their empirical success, the mathematical foundations of those models remain only…

Optimization and Control · Mathematics 2026-05-13 Kang Liu , Enrique Zuazua

Attention-based models such as transformers have shown outstanding performance on dense prediction tasks, such as semantic segmentation, owing to their capability of capturing long-range dependency in an image. However, the benefit of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Ashutosh Agarwal , Chetan Arora

We consider the problem of estimating the density $g$ of identically distributed variables $X\_i$, from a sample $Z\_1, ..., Z\_n$ where $Z\_i=X\_i+\sigma\epsilon\_i$, $i=1, ..., n$ and $\sigma \epsilon\_i$ is a noise independent of $X\_i$…

Statistics Theory · Mathematics 2008-02-11 Fabienne Comte , Yves Rozenholc , Marie-Luce Taupin

Dense crowd counting aims to predict thousands of human instances from an image, by calculating integrals of a density map over image pixels. Existing approaches mainly suffer from the extreme density variances. Such density pattern shift…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Chenfeng Xu , Kai Qiu , Jianlong Fu , Song Bai , Yongchao Xu , Xiang Bai

In this work, instead of directly predicting the pixel-level segmentation masks, the problem of referring image segmentation is formulated as sequential polygon generation, and the predicted polygons can be later converted into segmentation…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Jiang Liu , Hui Ding , Zhaowei Cai , Yuting Zhang , Ravi Kumar Satzoda , Vijay Mahadevan , R. Manmatha

We study a discrete denoising diffusion framework that integrates a sample-efficient estimator of single-site conditionals with round-robin noising and denoising dynamics for generative modeling over discrete state spaces. Rather than…

Machine Learning · Computer Science 2026-03-02 Karthik Elamvazhuthi , Abhijith Jayakumar , Andrey Y. Lokhov

Diffusion Policies have become widely used in Imitation Learning, offering several appealing properties, such as generating multimodal and discontinuous behavior. As models are becoming larger to capture more complex capabilities, their…

Machine Learning · Computer Science 2024-12-18 Moritz Reuss , Jyothish Pari , Pulkit Agrawal , Rudolf Lioutikov

Diffusion models have become a leading paradigm in generative AI, with score estimation via denoising score matching as a central component. While recent theory provides strong statistical guarantees, it typically relies on…

Machine Learning · Computer Science 2026-04-21 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

We introduce ScoreFusion, a theoretically grounded method for fusing multiple pre-trained diffusion models that are assumed to generate from auxiliary populations. ScoreFusion is particularly useful for enhancing the generative modeling of…

Machine Learning · Statistics 2025-04-18 Hao Liu , Junze Tony Ye , Jose Blanchet , Nian Si

Many real-world problems require reasoning across multiple scales, demanding models which operate not on single data points, but on entire distributions. We introduce generative distribution embeddings (GDE), a framework that lifts…

Machine Learning · Computer Science 2026-02-23 Nic Fishman , Gokul Gowri , Peng Yin , Jonathan Gootenberg , Omar Abudayyeh

While many unsupervised learning models focus on one family of tasks, either generative or discriminative, we explore the possibility of a unified representation learner: a model which addresses both families of tasks simultaneously. We…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Soumik Mukhopadhyay , Matthew Gwilliam , Yosuke Yamaguchi , Vatsal Agarwal , Namitha Padmanabhan , Archana Swaminathan , Tianyi Zhou , Jun Ohya , Abhinav Shrivastava

Diffusion models generate samples by estimating the score function of the target distribution at various noise levels. The model is trained using samples drawn from the target distribution by progressively adding noise. Previous sample…

Machine Learning · Computer Science 2025-10-28 Syamantak Kumar , Dheeraj Nagaraj , Purnamrita Sarkar

We construct a density estimator and an estimator of the distribution function in the uniform deconvolution model. The estimators are based on inversion formulas and kernel estimators of the density of the observations and its derivative.…

Statistics Theory · Mathematics 2011-01-06 Bert van Es

Diffusion models have gained attention for their ability to represent complex distributions and incorporate uncertainty, making them ideal for robust predictions in the presence of noisy or incomplete data. In this study, we develop and…

Machine Learning · Computer Science 2024-11-05 Yilin Zhuang , Sibo Cheng , Karthik Duraisamy

Multimodal Deep Learning has garnered much interest, and transformers have triggered novel approaches, thanks to the cross-attention mechanism. Here we propose an approach to deal with two key existing challenges: the high computational…

Machine Learning · Computer Science 2021-10-20 Dhruv Agarwal , Tanay Agrawal , Laura M. Ferrari , François Bremond

Ensemble of machine learning models yields improved performance as well as robustness. However, their memory requirements and inference costs can be prohibitively high. Knowledge distillation is an approach that allows a single model to…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Zhengcong Fei , Shuman Tian , Junshi Huang , Xiaoming Wei , Xiaolin Wei

This work explores the theoretical and practical foundations of denoising diffusion probabilistic models (DDPMs) and score-based generative models, which leverage stochastic processes and Brownian motion to model complex data distributions.…

Machine Learning · Computer Science 2024-12-30 Jathin Korrapati , Tanish Baranwal , Rahul Shah
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