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Recent years have witnessed a tremendous growth using topological summaries, especially the persistence diagrams (encoding the so-called persistent homology) for analyzing complex shapes. Intuitively, persistent homology maps a potentially…

计算几何 · 计算机科学 2021-04-19 Samantha Chen , Yusu Wang

We propose a new algorithm that uses an auxiliary neural network to express the potential of the optimal transport map between two data distributions. In the sequel, we use the aforementioned map to train generative networks. Unlike WGANs,…

机器学习 · 计算机科学 2020-04-21 Vaios Laschos , Jan Tinapp , Klaus Obermayer

In this paper, we propose a new and unified approach for nonparametric regression and conditional distribution learning. Our approach simultaneously estimates a regression function and a conditional generator using a generative learning…

机器学习 · 统计学 2023-06-28 Shanshan Song , Tong Wang , Guohao Shen , Yuanyuan Lin , Jian Huang

Existing approaches to depth or disparity estimation output a distribution over a set of pre-defined discrete values. This leads to inaccurate results when the true depth or disparity does not match any of these values. The fact that this…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Divyansh Garg , Yan Wang , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger , Wei-Lun Chao

We introduce Primal-Dual Wasserstein GAN, a new learning algorithm for building latent variable models of the data distribution based on the primal and the dual formulations of the optimal transport (OT) problem. We utilize the primal…

机器学习 · 统计学 2018-05-25 Mevlana Gemici , Zeynep Akata , Max Welling

Predictive states for stochastic processes are a nonparametric and interpretable construct with relevance across a multitude of modeling paradigms. Recent progress on the self-supervised reconstruction of predictive states from time-series…

统计力学 · 物理学 2022-12-21 Samuel P. Loomis , James P. Crutchfield

Generating samples given a specific label requires estimating conditional distributions. We derive a tractable upper bound of the Wasserstein distance between conditional distributions to lay the theoretical groundwork to learn conditional…

机器学习 · 统计学 2023-08-29 Young-geun Kim , Kyungbok Lee , Youngwon Choi , Joong-Ho Won , Myunghee Cho Paik

Event reconstruction is a central step in many particle physics experiments, turning detector observables into parameter estimates; for example estimating the energy of an interaction given the sensor readout of a detector. A corresponding…

高能物理 - 实验 · 物理学 2023-01-11 Philipp Eller , Aaron Fienberg , Jan Weldert , Garrett Wendel , Sebastian Böser , D. F. Cowen

Reinforcement learning (RL) has been widely studied for improving sequence-generation models. However, the conventional rewards used for RL training typically cannot capture sufficient semantic information and therefore render model bias.…

计算与语言 · 计算机科学 2020-01-22 Ruiyi Zhang , Changyou Chen , Zhe Gan , Zheng Wen , Wenlin Wang , Lawrence Carin

In this paper, we employ a 1D deep convolutional generative adversarial network (DCGAN) for sequential anomaly detection in energy time series data. Anomaly detection involves gradient descent to reconstruct energy sub-sequences,…

机器学习 · 计算机科学 2024-02-23 Hardik Prabhu , Jayaraman Valadi , Pandarasamy Arjunan

Artificial neural networks are prone to being fooled by carefully perturbed inputs which cause an egregious misclassification. These \textit{adversarial} attacks have been the focus of extensive research. Likewise, there has been an…

机器学习 · 计算机科学 2023-10-11 Dwight Nwaigwe , Lucrezia Carboni , Martial Mermillod , Sophie Achard , Michel Dojat

A rapidly growing area of work has studied the existence of adversarial examples, datapoints which have been perturbed to fool a classifier, but the vast majority of these works have focused primarily on threat models defined by $\ell_p$…

机器学习 · 计算机科学 2020-01-22 Eric Wong , Frank R. Schmidt , J. Zico Kolter

This paper proposes a new theoretical lens to view Wasserstein generative adversarial networks (WGANs). To minimize the Wasserstein-1 distance between the true data distribution and our estimate of it, we derive a distribution-dependent…

机器学习 · 统计学 2025-02-05 Zachariah Malik , Yu-Jui Huang

Gaussian mixture models find their place as a powerful tool, mostly in the clustering problem, but with proper preparation also in feature extraction, pattern recognition, image segmentation and in general machine learning. When faced with…

机器学习 · 计算机科学 2022-04-01 Mateusz Przyborowski , Mateusz Pabiś , Andrzej Janusz , Dominik Ślęzak

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

机器学习 · 计算机科学 2017-05-09 Zhimin Chen , Yuguang Tong

Statistical models often include thousands of parameters. However, large models decrease the investigator's ability to interpret and communicate the estimated parameters. Reducing the dimensionality of the parameter space in the estimation…

统计方法学 · 统计学 2022-05-16 Eric Dunipace , Lorenzo Trippa

The solution of probabilistic inverse problems for which the corresponding forward problem is constrained by physical principles is challenging. This is especially true if the dimension of the inferred vector is large and the prior…

机器学习 · 统计学 2023-06-09 Deep Ray , Javier Murgoitio-Esandi , Agnimitra Dasgupta , Assad A. Oberai

This paper studies how well generative adversarial networks (GANs) learn probability distributions from finite samples. Our main results establish the convergence rates of GANs under a collection of integral probability metrics defined…

机器学习 · 计算机科学 2022-06-10 Jian Huang , Yuling Jiao , Zhen Li , Shiao Liu , Yang Wang , Yunfei Yang

We propose a new minimum-distance estimator for linear random coefficient models. This estimator integrates the recently advanced sliced Wasserstein distance with the nearest neighbor methods, both of which enhance computational efficiency.…

统计理论 · 数学 2025-04-25 Keunwoo Lim , Ting Ye , Fang Han

With the rapid development of online payment platforms, it is now possible to record massive transaction data. Clustering on transaction data significantly contributes to analyzing merchants' behavior patterns. This enables payment…

统计方法学 · 统计学 2023-02-17 Yingqiu Zhu , Danyang Huang , Bo Zhang