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This paper addresses distributed consensus optimization problems with mixed-integer variables, with a specific focus on Boolean variables. We introduce a novel distributed algorithm that extends the Consensus Augmented Lagrangian…

Optimization and Control · Mathematics 2026-04-17 Boyu Han , Xu Du , Karl H. Johansson , Apostolos I. Rikos

Comparing the internal representations of neural networks is a central goal in both neuroscience and machine learning. Standard alignment metrics operate on raw neural activations, implicitly assuming that similar representations produce…

Machine Learning · Computer Science 2026-04-02 Sunny Liu , Habon Issa , André Longon , Liv Gorton , Meenakshi Khosla , David Klindt

The last decade has witnessed the breakthrough of deep neural networks (DNNs) in many fields. With the increasing depth of DNNs, hundreds of millions of multiply-and-accumulate (MAC) operations need to be executed. To accelerate such…

Hardware Architecture · Computer Science 2022-11-29 Amro Eldebiky , Grace Li Zhang , Georg Boecherer , Bing Li , Ulf Schlichtmann

This paper is dedicated to lossless data compression with probability estimation using neural networks. First, we propose a probability estimation architecture based on a chain of neural predictors, so that each unit of the chain is defined…

Information Theory · Computer Science 2026-04-20 Yuriy Kim , Evgeny Belyaev

Autonomous synthesis and characterization of inorganic materials requires the automatic and accurate analysis of X-ray diffraction spectra. For this task, we designed a probabilistic deep learning algorithm to identify complex multi-phase…

Materials Science · Physics 2021-05-27 Nathan J. Szymanski , Christopher J. Bartel , Yan Zeng , Qingsong Tu , Gerbrand Ceder

Model quantization helps to reduce model size and latency of deep neural networks. Mixed precision quantization is favorable with customized hardwares supporting arithmetic operations at multiple bit-widths to achieve maximum efficiency. We…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Linjie Yang , Qing Jin

Hinging on ideas from physical-layer network coding, some promising proposals of coded random access systems seek to improve system performance (while preserving low complexity) by means of packet repetitions and decoding of linear…

Information Theory · Computer Science 2018-05-30 Adriano Pastore , Paul de Kerret , Monica Navarro , David Gregoratti , David Gesbert

Emerging deep learning workloads urgently need fast general matrix multiplication (GEMM). To meet such demand, one of the critical features of machine-learning-specific accelerators such as NVIDIA Tensor Cores, AMD Matrix Cores, and Google…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Bo Fang , Xinyi Li , Harvey Dam , Cheng Tan , Siva Kumar Sastry Hari , Timothy Tsai , Ignacio Laguna , Dingwen Tao , Ganesh Gopalakrishnan , Prashant Nair , Kevin Barker , Ang Li

Confidence calibration - the process to calibrate the output probability distribution of neural networks - is essential for safety-critical applications of such networks. Recent works verify the link between mis-calibration and overfitting.…

Machine Learning · Computer Science 2023-05-24 Linwei Tao , Minjing Dong , Daochang Liu , Changming Sun , Chang Xu

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

Numerical Analysis · Mathematics 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp

This paper introduces a consistent estimator and rate of convergence for the precision matrix of asset returns in large portfolios using a non-linear factor model within the deep learning framework. Our estimator remains valid even in low…

Machine Learning · Statistics 2023-08-30 Mehmet Caner , Maurizio Daniele

We introduce a novel mathematical framework for analyzing neural networks using tools from quiver representation theory. This framework enables us to quantify the similarity between a new data sample and the training data, as perceived by…

Machine Learning · Computer Science 2024-09-23 Samuel Leblanc , Aiky Rasolomanana , Marco Armenta

Physics-informed deep learning has emerged as a promising alternative for solving partial differential equations. However, for complex problems, training these networks can still be challenging, often resulting in unsatisfactory accuracy…

Machine Learning · Computer Science 2025-09-18 Wenqian Chen , Amanda A. Howard , Panos Stinis

In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

Optimization and Control · Mathematics 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

Data-driven methods based on machine learning have the potential to accelerate computational analysis of atomic structures. In this context, reliable uncertainty estimates are important for assessing confidence in predictions and enabling…

Machine Learning · Computer Science 2021-11-04 Jonas Busk , Peter Bjørn Jørgensen , Arghya Bhowmik , Mikkel N. Schmidt , Ole Winther , Tejs Vegge

Continual learning models for stationary data focus on learning and retaining concepts coming to them in a sequential manner. In the most generic class-incremental environment, we have to be ready to deal with classes coming one by one,…

Machine Learning · Computer Science 2023-07-11 Lukasz Korycki , Bartosz Krawczyk

Neural networks offer a versatile, flexible and accurate approach to loss reserving. However, such applications have focused primarily on the (important) problem of fitting accurate central estimates of the outstanding claims. In practice,…

Methodology · Statistics 2022-08-09 Muhammed Taher Al-Mudafer , Benjamin Avanzi , Greg Taylor , Bernard Wong

To improve the identification of potential anomaly patterns in complex user behavior, this paper proposes an anomaly detection method based on a deep mixture density network. The method constructs a Gaussian mixture model parameterized by a…

Machine Learning · Computer Science 2025-05-20 Lu Dai , Wenxuan Zhu , Xuehui Quan , Renzi Meng , Sheng Chai , Yichen Wang

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

Optimization and Control · Mathematics 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

Artificial Intelligence · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal
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