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Generative AI has redefined artificial intelligence, enabling the creation of innovative content and customized solutions that drive business practices into a new era of efficiency and creativity. In this paper, we focus on diffusion…

机器学习 · 计算机科学 2024-03-21 Zihao Li , Hui Yuan , Kaixuan Huang , Chengzhuo Ni , Yinyu Ye , Minshuo Chen , Mengdi Wang

Kernel embeddings of distributions have recently gained significant attention in the machine learning community as a data-driven technique for representing probability distributions. Broadly, these techniques enable efficient computation of…

最优化与控制 · 数学 2021-03-25 Adam J. Thorpe , Meeko M. K. Oishi

We present a new technique for the interpolation of discretely-sampled non-negat ive scalar fields across regions of missing data. Any set of basis functions can be used, though the method is fastest when they are close to orthogonal. We…

天体物理学 · 物理学 2007-05-23 Will Saunders , Bill E. Ballinger

Dataset distillation seeks to synthesize a highly compact dataset that achieves performance comparable to the original dataset on downstream tasks. For the classification task that use pre-trained self-supervised models as backbones,…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Qianxin Xia , Jiawei Du , Xin Zhang , Yuhan Zhang , Jielei Wang , Guoming Lu

Diffusion models have emerged as a powerful framework in generative modeling, typically relying on optimizing neural networks to estimate the score function via forward SDE simulations. In this work, we propose an alternative method that is…

数值分析 · 数学 2025-06-17 Yuehaw Khoo , Mathias Oster , Yifan Peng

This paper studies the ubiquitous problem of liquidating large quantities of highly correlated stocks, a task frequently encountered by institutional investors and proprietary trading firms. Traditional methods in this setting suffer from…

交易与市场微观结构 · 定量金融 2025-02-13 Moustapha Pemy , Na Zhang

Complex phenomena can be better understood when broken down into a limited number of simpler "components". Linear statistical methods such as the principal component analysis and its variants are widely used across various fields of applied…

数据分析、统计与概率 · 物理学 2025-01-13 Iacopo Tirelli , Miguel Alfonso Mendez , Andrea Ianiro , Stefano Discetti

Deep generative models produce data according to a learned representation, e.g. diffusion models, through a process of approximation computing possible samples. Approximation can be understood as reconstruction and the large datasets used…

人机交互 · 计算机科学 2023-09-25 Luís Arandas , Mick Grierson , Miguel Carvalhais

Data imputation and data generation have important applications for many domains, like healthcare and finance, where incomplete or missing data can hinder accurate analysis and decision-making. Diffusion models have emerged as powerful…

机器学习 · 计算机科学 2025-06-10 Mario Villaizán-Vallelado , Matteo Salvatori , Carlos Segura , Ioannis Arapakis

Building on recent advances in image generation, we present a fully data-driven approach to rendering markup into images. The approach is based on diffusion models, which parameterize the distribution of data using a sequence of denoising…

机器学习 · 计算机科学 2022-10-12 Yuntian Deng , Noriyuki Kojima , Alexander M. Rush

Diffusion models have attained prominence for their ability to synthesize a probability distribution for a given dataset via a diffusion process, enabling the generation of new data points with high fidelity. However, diffusion processes…

机器学习 · 计算机科学 2024-11-25 Shervin Khalafi , Dongsheng Ding , Alejandro Ribeiro

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

投资组合管理 · 定量金融 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

统计理论 · 数学 2024-07-12 Xicheng Zhang

This paper introduces an approach to endow generative diffusion processes the ability to satisfy and certify compliance with constraints and physical principles. The proposed method recast the traditional sampling process of generative…

机器学习 · 计算机科学 2024-11-05 Jacob K Christopher , Stephen Baek , Ferdinando Fioretto

This work develops a distributed optimization strategy with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown in Part II to have a wider stability range…

最优化与控制 · 数学 2017-12-05 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

机器学习 · 统计学 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

Diffusion models (DMs) have established themselves as the state-of-the-art generative modeling approach in the visual domain and beyond. A crucial drawback of DMs is their slow sampling speed, relying on many sequential function evaluations…

计算机视觉与模式识别 · 计算机科学 2024-04-24 Amirmojtaba Sabour , Sanja Fidler , Karsten Kreis

Nuclei segmentation and classification is a significant process in pathology image analysis. Deep learning-based approaches have greatly contributed to the higher accuracy of this task. However, those approaches suffer from the imbalanced…

计算机视觉与模式识别 · 计算机科学 2023-06-27 Hyun-Jic Oh , Won-Ki Jeong

Denoising diffusion probabilistic models are a promising new class of generative models that mark a milestone in high-quality image generation. This paper showcases their ability to sequentially generate video, surpassing prior methods in…

计算机视觉与模式识别 · 计算机科学 2022-12-09 Ruihan Yang , Prakhar Srivastava , Stephan Mandt

In high-dimensional statistics, variable selection recovers the latent sparse patterns from all possible covariate combinations. This paper proposes a novel optimization method to solve the exact L0-regularized regression problem, which is…

统计方法学 · 统计学 2022-06-02 Mingzhang Yin , Nhat Ho , Bowei Yan , Xiaoning Qian , Mingyuan Zhou