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Recent Reinforcement Learning (RL) algorithms making use of Kullback-Leibler (KL) regularization as a core component have shown outstanding performance. Yet, only little is understood theoretically about why KL regularization helps, so far.…

Machine Learning · Computer Science 2021-01-07 Nino Vieillard , Tadashi Kozuno , Bruno Scherrer , Olivier Pietquin , Rémi Munos , Matthieu Geist

Quantum federated learning (QFL) has recently received increasing attention, where quantum neural networks (QNNs) are integrated into federated learning (FL). In contrast to the existing static QFL methods, we propose slimmable QFL…

Machine Learning · Computer Science 2022-07-22 Won Joon Yun , Jae Pyoung Kim , Soyi Jung , Jihong Park , Mehdi Bennis , Joongheon Kim

Trustworthy deployment of ML models requires a proper measure of uncertainty, especially in safety-critical applications. We focus on uncertainty quantification (UQ) for classification problems via two avenues -- prediction sets using…

Machine Learning · Statistics 2021-07-08 Aleksandr Podkopaev , Aaditya Ramdas

Several scalable sample-based methods to compute the Kullback Leibler (KL) divergence between two distributions have been proposed and applied in large-scale machine learning models. While they have been found to be unstable, the…

Machine Learning · Computer Science 2021-09-07 Sandesh Ghimire , Prashnna K Gyawali , Linwei Wang

Quantum nonlocality stands as a resource for Device Independent Quantum Information Processing (DIQIP), as, for instance, Device Independent Quantum Key Distribution. We investigate experimentally the assumption of limited Measurement…

Quantum Physics · Physics 2015-06-08 Djeylan Aktas , Sébastien Tanzilli , Anthony Martin , Gilles Pütz , Rob Thew , Nicolas Gisin

Bayesian nonparametric statistics is an area of considerable research interest. While recently there has been an extensive concentration in developing Bayesian nonparametric procedures for model checking, the use of the Dirichlet process,…

Statistics Theory · Mathematics 2019-03-15 Luai Al-Labadi , Viskakh Patel , Kasra Vakiloroayaei , Clement Wan

Since pioneering work of Hinton et al., knowledge distillation based on Kullback-Leibler Divergence (KL-Div) has been predominant, and recently its variants have achieved compelling performance. However, KL-Div only compares probabilities…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Jiaming Lv , Haoyuan Yang , Peihua Li

Relief algorithm is a feature selection algorithm used in binary classification proposed by Kira and Rendell, and its computational complexity remarkable increases with both the scale of samples and the number of features. In order to…

Quantum Physics · Physics 2024-05-14 Wen-Jie Liu , Pei-Pei Gao , Wen-Bin Yu , Zhi-Guo Qu , Ching-Nung Yang

Reverse Kullback-Leibler (RKL) divergence has recently emerged as the preferred objective for large language model (LLM) distillation, consistently outperforming forward KL (FKL), particularly in regimes with large vocabularies and…

Machine Learning · Computer Science 2026-04-02 Hoang-Chau Luong , Dat Ba Tran , Lingwei Chen

Distributionally robust reinforcement learning (DRRL) focuses on designing policies that achieve good performance under model uncertainties. The goal is to maximize the worst-case long-term discounted reward, where the data for RL comes…

Machine Learning · Computer Science 2026-03-17 Saptarshi Mandal , Yashaswini Murthy , R. Srikant

The maximum likelihood method is the best-known method for estimating the probabilities behind the data. However, the conventional method obtains the probability model closest to the empirical distribution, resulting in overfitting. Then…

Machine Learning · Statistics 2023-10-03 Akihisa Ichiki

We study the problem of training and certifying adversarially robust quantized neural networks (QNNs). Quantization is a technique for making neural networks more efficient by running them using low-bit integer arithmetic and is therefore…

Machine Learning · Computer Science 2022-11-30 Mathias Lechner , Đorđe Žikelić , Krishnendu Chatterjee , Thomas A. Henzinger , Daniela Rus

We introduce the concept of quantum minimal learning machine (QMLM), a supervised similarity-based learning algorithm. The algorithm is conceptually based on a classical machine learning model and adopted to work with quantum data. We will…

Quantum Physics · Physics 2026-03-10 Clemens Lindner , Joonas Hämäläinen , Matti Raasakka

Many policy optimization approaches in reinforcement learning incorporate a Kullback-Leilbler (KL) divergence to the previous policy, to prevent the policy from changing too quickly. This idea was initially proposed in a seminal paper on…

Machine Learning · Computer Science 2024-03-19 Lingwei Zhu , Zheng Chen , Matthew Schlegel , Martha White

We consider the problem of estimating probability density functions based on sample data, using a finite mixture of densities from some component class. To this end, we introduce the $h$-lifted Kullback--Leibler (KL) divergence as a…

Machine Learning · Statistics 2024-12-24 Mark Chiu Chong , Hien Duy Nguyen , TrungTin Nguyen

Existing multi-view classification and clustering methods typically improve task accuracy by leveraging and fusing information from different views. However, ensuring the reliability of multi-view integration and final decisions is crucial,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Zhipeng Xue , Yan Zhang , Ming Li , Chun Li , Yue Liu , Fei Yu

The Kullback-Leibler (KL) divergence plays a central role in probabilistic machine learning, where it commonly serves as the canonical loss function. Optimization in such settings is often performed over the probability simplex, where the…

Machine Learning · Computer Science 2025-07-31 Adwait Datar , Nihat Ay

A loss function measures the discrepancy between the true values and their estimated fits, for a given instance of data. In classification problems, a loss function is said to be proper if a minimizer of the expected loss is the true…

Information Theory · Computer Science 2020-01-03 Amichai Painsky , Gregory W. Wornell

Upon integrating Quantum Neural Network (QNN) as the local model, Quantum Federated Learning (QFL) has recently confronted notable challenges. Firstly, exploration is hindered over sharp minima, decreasing learning performance. Secondly,…

Quantum Physics · Physics 2025-09-09 Duc-Thien Phan , Minh-Duong Nguyen , Quoc-Viet Pham , Huilong Pi

The improvement in the performance of efficient and lightweight models (i.e., the student model) is achieved through knowledge distillation (KD), which involves transferring knowledge from more complex models (i.e., the teacher model).…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Seonghak Kim , Gyeongdo Ham , Yucheol Cho , Daeshik Kim
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