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Tensor networks are a very powerful data structure tool originating from quantum system simulations. In recent years, they have seen increased use in machine learning, mostly in trainings with gradient-based techniques, due to their…

Quantum Physics · Physics 2024-12-24 Sergi Masot-Llima , Artur Garcia-Saez

Exponential divided differences arise in numerical linear algebra, matrix-function evaluation, and quantum Monte Carlo simulations, where they serve as kernel weights for time evolution and observable estimation. Efficient and numerically…

Computational Physics · Physics 2025-12-30 Itay Hen

Calibrating deep neural models plays an important role in building reliable, robust AI systems in safety-critical applications. Recent work has shown that modern neural networks that possess high predictive capability are poorly calibrated…

Machine Learning · Computer Science 2025-09-16 Cheng Wang

Deep Bayesian neural network has aroused a great attention in recent years since it combines the benefits of deep neural network and probability theory. Because of this, the network can make predictions and quantify the uncertainty of the…

Machine Learning · Computer Science 2019-03-25 Yikuan Li , Yajie Zhu

Deep neural networks (NNs) encounter scalability limitations when confronted with a vast array of neurons, thereby constraining their achievable network depth. To address this challenge, we propose an integration of tensor networks (TN)…

Disordered Systems and Neural Networks · Physics 2024-08-20 Saeed S. Jahromi , Roman Orus

Bayesian neural networks (BNNs) hold great promise as a flexible and principled solution to deal with uncertainty when learning from finite data. Among approaches to realize probabilistic inference in deep neural networks, variational Bayes…

Miscalibration - a mismatch between a model's confidence and its correctness - of Deep Neural Networks (DNNs) makes their predictions hard to rely on. Ideally, we want networks to be accurate, calibrated and confident. We show that, as…

Machine Learning · Computer Science 2020-10-27 Jishnu Mukhoti , Viveka Kulharia , Amartya Sanyal , Stuart Golodetz , Philip H. S. Torr , Puneet K. Dokania

Deep neural networks are powerful tools to detect hidden patterns in data and leverage them to make predictions, but they are not designed to understand uncertainty and estimate reliable probabilities. In particular, they tend to be…

Machine Learning · Statistics 2022-11-10 Bat-Sheva Einbinder , Yaniv Romano , Matteo Sesia , Yanfei Zhou

A promising new algebraic approach to weighted model counting makes use of tensor networks, following a reduction from weighted model counting to tensor-network contraction. Prior work has focused on analyzing the single-core performance of…

Data Structures and Algorithms · Computer Science 2021-06-16 Jeffrey M. Dudek , Moshe Y. Vardi

The ATLAS experiment at the Large Hadron Collider explores the use of modern neural networks for a multi-dimensional calibration of its calorimeter signal defined by clusters of topologically connected cells (topo-clusters). The Bayesian…

High Energy Physics - Experiment · Physics 2026-02-03 ATLAS Collaboration

Deep convolutional neural networks have proven to be well suited for image classification applications. However, if there is distortion in the image, the classification accuracy can be significantly degraded, even with state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Minho Ha , Younghoon Byeon , Youngjoo Lee , Sunggu Lee

Quantum computers are expected to enable fast solving of large-scale combinatorial optimization problems. However, their limitations in fidelity and the number of qubits prevent them from handling real-world problems. Recently, a…

Statistical Mechanics · Physics 2025-07-23 Hyakka Nakada , Kotaro Tanahashi , Shu Tanaka

The operations used for neural network computation map favorably onto simple analog circuits, which outshine their digital counterparts in terms of compactness and efficiency. Nevertheless, such implementations have been largely supplanted…

Neural and Evolutionary Computing · Computer Science 2020-02-24 Jonathan Binas , Daniel Neil , Giacomo Indiveri , Shih-Chii Liu , Michael Pfeiffer

While post-training model compression can greatly reduce the inference cost of a deep neural network, uncompressed training still consumes a huge amount of hardware resources, run-time and energy. It is highly desirable to directly train a…

Machine Learning · Computer Science 2021-10-05 Cole Hawkins , Xing Liu , Zheng Zhang

Deep neural nets (DNNs) compression is crucial for adaptation to mobile devices. Though many successful algorithms exist to compress naturally trained DNNs, developing efficient and stable compression algorithms for robustly trained DNNs…

Machine Learning · Computer Science 2020-03-03 Thu Dinh , Bao Wang , Andrea L. Bertozzi , Stanley J. Osher

Machine Learning models should ideally be compact and robust. Compactness provides efficiency and comprehensibility whereas robustness provides resilience. Both topics have been studied in recent years but in isolation. Here we present a…

Machine Learning · Computer Science 2021-03-16 Omri Armstrong , Ran Gilad-Bachrach

While time series momentum is a well-studied phenomenon in finance, common strategies require the explicit definition of both a trend estimator and a position sizing rule. In this paper, we introduce Deep Momentum Networks -- a hybrid…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Stefan Zohren , Stephen Roberts

Nesterov's well-known scheme for accelerating gradient descent in convex optimization problems is adapted to accelerating stationary iterative solvers for linear systems. Compared with classical Krylov subspace acceleration methods, the…

Optimization and Control · Mathematics 2021-08-10 Tao Hong , Irad Yavneh

Deep neural networks are increasingly utilized in various machine learning tasks. However, as these models grow in complexity, they often face calibration issues, despite enhanced prediction accuracy. Many studies have endeavored to improve…

Machine Learning · Computer Science 2024-03-25 Linwei Tao , Younan Zhu , Haolan Guo , Minjing Dong , Chang Xu

The rough Bergomi (rBergomi) model can accurately describe the historical and implied volatilities, and has gained much attention in the past few years. However, there are many hidden unknown parameters or even functions in the model. In…

Computational Finance · Quantitative Finance 2024-02-06 Changqing Teng , Guanglian Li