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We develop an analytical synthesis that bridges data-driven Distributionally Robust Optimization (DRO) and Economic Decision Theory under Ambiguity (DTA). By reinterpreting standard regularization and DRO techniques as data-driven…

Machine Learning · Statistics 2025-02-27 Nicola Bariletto , Khai Nguyen , Nhat Ho

Phylogenetic inference can potentially result in a more accurate tree using data from multiple loci. However, if the loci are incongruent--due to events such as incomplete lineage sorting or horizontal gene transfer--it can be misleading to…

Populations and Evolution · Quantitative Biology 2016-03-10 Kevin Gori , Tomasz Suchan , Nadir Alvarez , Nick Goldman , Christophe Dessimoz

Distance metric learning is successful in discovering intrinsic relations in data. However, most algorithms are computationally demanding when the problem size becomes large. In this paper, we propose a discriminative metric learning…

Machine Learning · Computer Science 2019-05-15 Jun Li , Xun Lin , Xiaoguang Rui , Yong Rui , Dacheng Tao

Novelty detection aims to automatically identify out-of-distribution (OOD) data, without any prior knowledge of them. It is a critical step in data monitoring, behavior analysis and other applications, helping enable continual learning in…

Machine Learning · Computer Science 2021-12-21 Jingbo Sun , Li Yang , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar , Deliang Fan , Yu Cao

Variable selection is of increasing importance to address the difficulties of high dimensionality in many scientific areas. In this paper, we demonstrate a property for distance covariance, which is incorporated in a novel feature screening…

Methodology · Statistics 2014-09-03 Jing Kong , Sijian Wang , Grace Wahba

Adam is one of the most popular optimization algorithms in deep learning. However, it is known that Adam does not converge in theory unless choosing a hyperparameter, i.e., $\beta_2$, in a problem-dependent manner. There have been many…

Label Distribution Learning (LDL) is an effective approach for handling label ambiguity, as it can analyze all labels at once and indicate the extent to which each label describes a given sample. Most existing LDL methods consider the…

Machine Learning · Computer Science 2024-11-21 Ziqi Jia , Xiaoyang Qu , Chenghao Liu , Jianzong Wang

Recent successes in Generative Adversarial Networks (GAN) have affirmed the importance of using more data in GAN training. Yet it is expensive to collect data in many domains such as medical applications. Data Augmentation (DA) has been…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Ngoc-Trung Tran , Viet-Hung Tran , Ngoc-Bao Nguyen , Trung-Kien Nguyen , Ngai-Man Cheung

Empirically, Deep Learning (DL) has demonstrated unprecedented success in practical applications. However, DL remains by and large a mysterious "black-box", spurring recent theoretical research to build its mathematical foundations. In this…

Machine Learning · Computer Science 2025-01-22 Jwo-Yuh Wu , Liang-Chi Huang , Wen-Hsuan Li , Chun-Hung Liu

Deep neural networks are known to be vulnerable to unseen data: they may wrongly assign high confidence stcores to out-distribuion samples. Recent works try to solve the problem using representation learning methods and specific metrics. In…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Haowei He , Jiaye Teng , Yang Yuan

Data-Driven Product Development (DDPD) leverages data to learn the relationship between product design specifications and resulting properties. To discover improved designs, we train a neural network on past experiments and apply Projected…

Machine Learning · Computer Science 2026-01-06 Andrea Thomas Nava , Lijo Johny , Fabio Azzalini , Johannes Schneider , Arianna Casanova

Data analysis require a pairwise proximity measure over objects. Recent work has extended this to situations where the distance information between objects is given as comparison results of distances between three objects (triplets). Humans…

Machine Learning · Computer Science 2023-02-21 Sarwan Ali , Muhammad Ahmad , Umair ul Hassan , Muhammad Asad Khan , Shafiq Alam , Imdadullah Khan

Modern data workflows are inherently adaptive, repeatedly querying the same dataset to refine and validate sequential decisions, but such adaptivity can lead to overfitting and invalid statistical inference. Adaptive Data Analysis (ADA)…

Machine Learning · Computer Science 2026-02-10 Joon Suk Huh

Almost all statistical and machine learning methods in analyzing brain networks rely on distances and loss functions, which are mostly Euclidean or matrix norms. The Euclidean or matrix distances may fail to capture underlying subtle…

Computational Geometry · Computer Science 2021-02-18 Moo K. Chung , Alexander Smith , Gary Shiu

We propose a computationally-friendly adaptive learning rate schedule, "AdaLoss", which directly uses the information of the loss function to adjust the stepsize in gradient descent methods. We prove that this schedule enjoys linear…

Machine Learning · Statistics 2021-09-20 Xiaoxia Wu , Yuege Xie , Simon Du , Rachel Ward

We study networked binary classification on a directed acyclic graph (DAG) where each agent observes only a subset of the feature columns of a shared dataset. Agents act sequentially along the DAG: each receives prediction columns from its…

Automatic differentiation (AD) has driven recent advances in machine learning, including deep neural networks and Hamiltonian Markov Chain Monte Carlo methods. Partially observed nonlinear stochastic dynamical systems have proved resistant…

Methodology · Statistics 2024-07-04 Kevin Tan , Giles Hooker , Edward L. Ionides

Typing methods are widely used in the surveillance of infectious diseases, outbreaks investigation and studies of the natural history of an infection. And their use is becoming standard, in particular with the introduction of High…

Data Structures and Algorithms · Computer Science 2020-06-16 Cátia Vaz , Marta Nascimento , João A. Carriço , Tatiana Rocher , Alexandre P. Francisco

Deep metric learning (DML) aims to automatically construct task-specific distances or similarities of data, resulting in a low-dimensional representation. Several significant metric-learning methods have been proposed. Nonetheless, no…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Imam Mustafa Kamal , Hyerim Bae

Background: Many biological systems are modeled qualitatively with discrete models, such as probabilistic Boolean networks, logical models, Petri nets, and agent-based models, with the goal to gain a better understanding of the system. The…