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The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

机器学习 · 统计学 2012-12-04 Xun Huan , Youssef M. Marzouk

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

This paper describes a new form of unsupervised learning, whose input is a set of unlabeled points that are assumed to be local maxima of an unknown value function v in an unknown subset of the vector space. Two functions are learned: (i) a…

机器学习 · 计算机科学 2020-01-16 Lior Wolf , Sagie Benaim , Tomer Galanti

In contrast to the many continuous global optimization methods that assume the objective function and constraints are factorable, we study how to find globally maximal solutions to problems that are not factorable, focusing on a particular…

最优化与控制 · 数学 2022-08-31 Hugh Medal , Izuwa Ahanor

Machine learning (ML) is increasingly employed in real-world applications like medicine or economics, thus, potentially affecting large populations. However, ML models often do not perform homogeneously, leading to underperformance or,…

机器学习 · 计算机科学 2025-08-28 Tom Siegl , Kutalmış Coşkun , Bjarne C. Hiller , Amin Mirzaei , Florian Lemmerich , Martin Becker

Random feature model with a nonlinear activation function has been shown to perform asymptotically equivalent to a Gaussian model in terms of training and generalization errors. Analysis of the equivalent model reveals an important yet not…

机器学习 · 计算机科学 2023-10-02 Samet Demir , Zafer Doğan

We study ``selective'' or ``conditional'' classification problems under an agnostic setting. Classification tasks commonly focus on modeling the relationship between features and categories that captures the vast majority of data. In…

机器学习 · 计算机科学 2025-02-04 Jizhou Huang , Brendan Juba

Classification tasks are usually evaluated in terms of accuracy. However, accuracy is discontinuous and cannot be directly optimized using gradient ascent. Popular methods minimize cross-entropy, hinge loss, or other surrogate losses, which…

机器学习 · 计算机科学 2024-07-25 Ivan Karpukhin , Stanislav Dereka , Sergey Kolesnikov

We consider model selection and estimation for partial spline models and propose a new regularization method in the context of smoothing splines. The regularization method has a simple yet elegant form, consisting of roughness penalty on…

统计方法学 · 统计学 2013-11-25 Guang Cheng , Hao Helen Zhang , Zuofeng Shang

We introduce computational methods that allow for effective estimation of a flexible, parametric non-stationary spatial model when the field size is too large to compute the multivariate normal likelihood directly. In this method, the field…

统计计算 · 统计学 2018-09-20 Amanda Muyskens , Joseph Guinness , Montserrat Fuentes

Modern classification problems frequently present mild to severe label imbalance as well as specific requirements on classification characteristics, and require optimizing performance measures that are non-decomposable over the dataset,…

机器学习 · 统计学 2015-05-27 Harikrishna Narasimhan , Purushottam Kar , Prateek Jain

We consider robust optimization problems, where the goal is to optimize in the worst case over a class of objective functions. We develop a reduction from robust improper optimization to Bayesian optimization: given an oracle that returns…

机器学习 · 计算机科学 2017-07-05 Robert Chen , Brendan Lucier , Yaron Singer , Vasilis Syrgkanis

In classification problems, sampling bias between training data and testing data is critical to the ranking performance of classification scores. Such bias can be both unintentionally introduced by data collection and intentionally…

统计方法学 · 统计学 2017-11-02 Chandler Zuo

The predictive quality of machine learning models is typically measured in terms of their (approximate) expected prediction accuracy or the so-called Area Under the Curve (AUC). Minimizing the reciprocals of these measures are the goals of…

机器学习 · 统计学 2019-03-04 Hiva Ghanbari , Minhan Li , Katya Scheinberg

We consider the problem of active coarse ranking, where the goal is to sort items according to their means into clusters of pre-specified sizes, by adaptively sampling from their reward distributions. This setting is useful in many social…

机器学习 · 计算机科学 2018-02-21 Sumeet Katariya , Lalit Jain , Nandana Sengupta , James Evans , Robert Nowak

We explore the connection between outlier-robust high-dimensional statistics and non-convex optimization in the presence of sparsity constraints, with a focus on the fundamental tasks of robust sparse mean estimation and robust sparse PCA.…

机器学习 · 计算机科学 2022-11-15 Yu Cheng , Ilias Diakonikolas , Rong Ge , Shivam Gupta , Daniel M. Kane , Mahdi Soltanolkotabi

In this paper we relate the partition function to the max-statistics of random variables. In particular, we provide a novel framework for approximating and bounding the partition function using MAP inference on randomly perturbed models. As…

机器学习 · 计算机科学 2012-07-03 Tamir Hazan , Tommi Jaakkola

Sparse representation based classification (SRC) has been proved to be a simple, effective and robust solution to face recognition. As it gets popular, doubts on the necessity of enforcing sparsity starts coming up, and primary experimental…

计算机视觉与模式识别 · 计算机科学 2014-03-07 Yang Wu , Vansteenberge Jarich , Masayuki Mukunoki , Michihiko Minoh

Binary classification involves predicting the label of an instance based on whether the model score for the positive class exceeds a threshold chosen based on the application requirements (e.g., maximizing recall for a precision bound).…

机器学习 · 计算机科学 2023-11-21 Gundeep Arora , Srujana Merugu , Anoop Saladi , Rajeev Rastogi

Positive and unlabelled learning is an important problem which arises naturally in many applications. The significant limitation of almost all existing methods lies in assuming that the propensity score function is constant (SCAR…

机器学习 · 统计学 2023-11-01 Konrad Furmańczyk , Jan Mielniczuk , Wojciech Rejchel , Paweł Teisseyre