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This work considers the problem of binary classification: given training data $x_1, \dots, x_n$ from a certain population, together with associated labels $y_1,\dots, y_n \in \left\{0,1 \right\}$, determine the best label for an element $x$…

统计理论 · 数学 2016-07-04 Nicolas Garcia Trillos , Ryan Murray

Machine learning models traditionally assume that training and test data are independently and identically distributed. However, in real-world applications, the test distribution often differs from training. This problem, known as…

机器学习 · 计算机科学 2024-06-19 Kotaro Yoshida , Hiroki Naganuma

While nowadays most gradient-based optimization methods focus on exploring the high-dimensional geometric features, the random error accumulated in a stochastic version of any algorithm implementation has not been stressed yet. In this…

机器学习 · 计算机科学 2020-08-14 Tong Yang , Long Sha , Pengyu Hong

Kernel ridge regression, in general, is expensive in memory allocation and computation time. This paper addresses low rank approximations and surrogates for kernel ridge regression, which bridge these difficulties. The fundamental…

机器学习 · 统计学 2025-01-07 Paul Dommel

Standard regularization methods that are used to compute solutions to ill-posed inverse problems require knowledge of the forward model. In many real-life applications, the forward model is not known, but training data is readily available.…

数值分析 · 数学 2015-06-19 Julianne Chung , Matthias Chung

We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions…

机器学习 · 计算机科学 2010-10-22 Kenneth L. Clarkson , Elad Hazan , David P. Woodruff

Binary neural networks (BNNs) have attracted broad research interest due to their efficient storage and computational ability. Nevertheless, a significant challenge of BNNs lies in handling discrete constraints while ensuring bit entropy…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Mingbao Lin , Rongrong Ji , Zihan Xu , Baochang Zhang , Fei Chao , Chia-Wen Lin , Ling Shao

Recently, entropic descriptors based the Monte Carlo hybrid reconstruction of the microstructure of a binary/greyscale pattern has been proposed (Piasecki 2011 Proc. R. Soc. A 467 806). We try to speed up this method applied in this…

统计力学 · 物理学 2012-06-19 R. Piasecki , W. Olchawa

We consider the problem of minimizing an objective function that is the sum of a convex function and a group sparsity-inducing regularizer. Problems that integrate such regularizers arise in modern machine learning applications, often for…

最优化与控制 · 数学 2020-07-30 Frank E. Curtis , Yutong Dai , Daniel P. Robinson

In applications with significant class imbalance or asymmetric costs, metrics such as the $F_\beta$-measure, AM measure, Jaccard similarity coefficient, and weighted accuracy offer more suitable evaluation criteria than standard binary…

机器学习 · 计算机科学 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

Proximal Policy Optimization (PPO) has become the predominant algorithm for on-policy reinforcement learning due to its scalability and empirical robustness across domains. However, there is a significant disconnect between the underlying…

Variance regularized counterfactual risk minimization (VRCRM) has been proposed as an alternative off-policy learning (OPL) method. VRCRM method uses a lower-bound on the $f$-divergence between the logging policy and the target policy as…

机器学习 · 计算机科学 2024-10-15 Hua Chang Bakker , Shashank Gupta , Harrie Oosterhuis

Binary embedding is the problem of mapping points from a high-dimensional space to a Hamming cube in lower dimension while preserving pairwise distances. An efficient way to accomplish this is to make use of fast embedding techniques…

数据结构与算法 · 计算机科学 2016-03-15 Samet Oymak

A key enabler of deploying convolutional neural networks on resource-constrained embedded systems is the binary neural network (BNN). BNNs save on memory and simplify computation by binarizing both features and weights. Unfortunately,…

机器学习 · 计算机科学 2023-10-19 Floran de Putter , Henk Corporaal

When equipped with efficient optimization algorithms, the over-parameterized neural networks have demonstrated high level of performance even though the loss function is non-convex and non-smooth. While many works have been focusing on…

机器学习 · 计算机科学 2021-03-11 Zhiqi Bu , Shiyun Xu , Kan Chen

The rate loss is an important issue for multi-user beamspace multiple-input multiple-output (MIMO) millimeter-wave systems. In such systems, multi-cluster channel propagation leads as a function of the quantization error and, as a result,…

信号处理 · 电气工程与系统科学 2019-04-18 Md. Abdul Latif Sarker , Md. Fazlul Kader , Dong Seog Han

A large variety of real-world Reinforcement Learning (RL) tasks is characterized by a complex and heterogeneous structure that makes end-to-end (or flat) approaches hardly applicable or even infeasible. Hierarchical Reinforcement Learning…

机器学习 · 计算机科学 2023-05-12 Gianluca Drappo , Alberto Maria Metelli , Marcello Restelli

In this paper, we aim to learn a mapping (or embedding) from images to a compact binary space in which Hamming distances correspond to a ranking measure for the image retrieval task. We make use of a triplet loss because this has been shown…

计算机视觉与模式识别 · 计算机科学 2016-08-02 Bohan Zhuang , Guosheng Lin , Chunhua Shen , Ian Reid

The Bregman-Kaczmarz method is an iterative method which can solve strongly convex problems with linear constraints and uses only one or a selected number of rows of the system matrix in each iteration, thereby making it amenable for…

最优化与控制 · 数学 2023-07-31 Dirk A. Lorenz , Maximilian Winkler

In this paper, we present novel randomized algorithms for solving saddle point problems whose dual feasible region is given by the direct product of many convex sets. Our algorithms can achieve an ${\cal O}(1/N)$ and ${\cal O}(1/N^2)$ rate…

最优化与控制 · 数学 2015-11-16 Cong Dang , Guanghui Lan