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Recently, many improved naive Bayes methods have been developed with enhanced discrimination capabilities. Among them, regularized naive Bayes (RNB) produces excellent performance by balancing the discrimination power and generalization…

Machine Learning · Computer Science 2023-04-19 Shihe Wang , Jianfeng Ren , Ruibin Bai

Scientific observations may consist of a large number of variables (features). Identifying a subset of meaningful features is often ignored in unsupervised learning, despite its potential for unraveling clear patterns hidden in the ambient…

Machine Learning · Computer Science 2020-11-10 Ofir Lindenbaum , Uri Shaham , Jonathan Svirsky , Erez Peterfreund , Yuval Kluger

We consider the problem of discretizing one-dimensional, real-valued functions as graphs. The goal is to find a small set of points, from which we can approximate the remaining function values. The method for approximating the unknown…

Numerical Analysis · Mathematics 2023-06-01 John Paul Ward

Feature selection is the process of sieving features, in which informative features are separated from the redundant and irrelevant ones. This process plays an important role in machine learning, data mining and bioinformatics. However,…

Cryptography and Security · Computer Science 2020-08-19 Javad Rahimipour Anaraki , Saeed Samet

The truncated singular value decomposition may be used to find the solution of linear discrete ill-posed problems in conjunction with Tikhonov regularization and requires the estimation of a regularization parameter that balances between…

Numerical Analysis · Mathematics 2022-08-16 Rosemary A. Renaut , Anthony W. Helmstetter , Saeed Vatankhah

Incorporating graph side information into recommender systems has been widely used to better predict ratings, but relatively few works have focused on theoretical guarantees. Ahn et al. (2018) firstly characterized the optimal sample…

Information Theory · Computer Science 2021-09-09 Changhun Jo , Kangwook Lee

Unlike unsupervised approaches such as autoencoders that learn to reconstruct their inputs, this paper introduces an alternative approach to unsupervised feature learning called divergent discriminative feature accumulation (DDFA) that…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Paul A. Szerlip , Gregory Morse , Justin K. Pugh , Kenneth O. Stanley

Bayesian networks are convenient graphical expressions for high dimensional probability distributions representing complex relationships between a large number of random variables. They have been employed extensively in areas such as…

Machine Learning · Statistics 2014-04-04 Jem Corcoran , Daniel Tran , Nicholas Levine

We develop adaptive discretization algorithms for locally optimal experimental design of nonlinear prediction models. With these algorithms, we refine and improve a pertinent state-of-the-art algorithm in various respects. We establish…

Optimization and Control · Mathematics 2024-06-04 Jochen Schmid , Philipp Seufert , Michael Bortz

Differential privacy (DP) is a widely-accepted and widely-applied notion of privacy based on worst-case analysis. Often, DP classifies most mechanisms without additive noise as non-private (Dwork et al., 2014). Thus, additive noises are…

Cryptography and Security · Computer Science 2023-12-14 Ao Liu , Yu-Xiang Wang , Lirong Xia

Researchers usually discretize a continuous dependent variable into two target classes by introducing an artificial discretization threshold (e.g., median). However, such discretization may introduce noise (i.e., discretization noise) due…

Software Engineering · Computer Science 2022-02-15 Gopi Krishnan Rajbahadur , Shaowei Wang , Yasutaka Kamei , Ahmed E. Hassan

Deep learning technology has developed unprecedentedly in the last decade and has become the primary choice in many application domains. This progress is mainly attributed to a systematic collaboration in which rapidly growing computing…

Machine Learning · Computer Science 2023-12-27 Shiye Lei , Dacheng Tao

Selecting relevant features is an important and necessary step for intelligent machines to maximize their chances of success. However, intelligent machines generally have no enough computing resources when faced with huge volume of data.…

Machine Learning · Computer Science 2025-07-04 Hexiang Bai , Deyu Li , Jiye Liang , Yanhui Zhai

We analyze the method for calculation of properties of non-relativistic quantum systems based on exact diagonalization of space-discretized short-time evolution operators. In this paper we present a detailed analysis of the errors…

Statistical Mechanics · Physics 2011-08-08 Ivana Vidanovic , Aleksandar Bogojevic , Aleksandar Belic

Training machine learning models with differential privacy (DP) has received increasing interest in recent years. One of the most popular algorithms for training differentially private models is differentially private stochastic gradient…

Machine Learning · Computer Science 2024-02-21 Ziteng Sun , Ananda Theertha Suresh , Aditya Krishna Menon

Motivation: A considerable number of data mining approaches for biomedical data analysis, including state-of-the-art associative models, require a form of data discretization. Although diverse discretization approaches have been proposed,…

Quantitative Methods · Quantitative Biology 2021-03-09 Leonardo Alexandre , Rafael S. Costa , Rui Henriques

When deep learning is applied to visual object recognition, data augmentation is often used to generate additional training data without extra labeling cost. It helps to reduce overfitting and increase the performance of the algorithm. In…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Alexey Dosovitskiy , Jost Tobias Springenberg , Thomas Brox

Differential privacy is a standard framework to quantify the privacy loss in the data anonymization process. To preserve differential privacy, a random noise adding mechanism is widely adopted, where the trade-off between data privacy level…

Cryptography and Security · Computer Science 2022-03-22 Shuying Qin , Jianping He , Chongrong Fang , James Lam

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

Machine Learning · Computer Science 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

Supervised fine-tuning (SFT) has become a crucial step for aligning pretrained large language models (LLMs) using supervised datasets of input-output pairs. However, despite being supervised, SFT is inherently limited by its generative…

Computation and Language · Computer Science 2025-07-25 Siqi Guo , Ilgee Hong , Vicente Balmaseda , Changlong Yu , Liang Qiu , Xin Liu , Haoming Jiang , Tuo Zhao , Tianbao Yang