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State-space models (SSMs) have recently gained attention in deep learning for their ability to efficiently model long-range dependencies, making them promising candidates for edge-AI applications. In this paper, we analyze the effects of…

Machine Learning · Computer Science 2025-06-17 Leo Zhao , Tristan Torchet , Melika Payvand , Laura Kriener , Filippo Moro

Quantum state preparation involves preparing a target state from an initial system, a process integral to applications such as quantum machine learning and solving systems of linear equations. Recently, there has been a growing interest in…

Quantum Physics · Physics 2024-05-08 Shuwen Kan , Miguel Palma , Zefan Du , Samuel A Stein , Chenxu Liu , Juntao Chen , Ang Li , Ying Mao

The best performing Binary Neural Networks (BNNs) are usually attained using Adam optimization and its multi-step training variants. However, to the best of our knowledge, few studies explore the fundamental reasons why Adam is superior to…

Machine Learning · Computer Science 2021-06-22 Zechun Liu , Zhiqiang Shen , Shichao Li , Koen Helwegen , Dong Huang , Kwang-Ting Cheng

We propose DualOptim+, a novel optimization framework for improving machine unlearning in large language models. It introduces a base state to capture common representations shared by forgetting and retaining objectives and delta states to…

Machine Learning · Computer Science 2026-05-22 Xuyang Zhong , Qizhang Li , Yiwen Guo , Chen Liu

Beside the standard stochastic gradient descent (SGD) method, the Adam optimizer due to Kingma & Ba (2014) is currently probably the best-known optimization method for the training of deep neural networks in artificial intelligence (AI)…

Optimization and Control · Mathematics 2025-11-11 Steffen Dereich , Thang Do , Arnulf Jentzen , Philippe von Wurstemberger

This paper addresses the problem of safe optimization under a single smooth constraint, a scenario that arises in diverse real-world applications such as robotics and autonomous navigation. The objective of safe optimization is to solve a…

Optimization and Control · Mathematics 2025-05-15 Ilnura Usmanova , Kfir Yehuda Levy

Quantum memory devices with high storage efficiency and bandwidth are essential elements for future quantum networks. Solid-state quantum memories can provide broadband storage, but they primarily suffer from low storage efficiency. We use…

Quantum Physics · Physics 2024-04-08 Yisheng Lei , Haechan An , Zongfeng Li , Mahdi Hosseini

Zeroth-order optimization (ZO) is a memory-efficient strategy for fine-tuning Large Language Models using only forward passes. However, the application of ZO fine-tuning in memory-constrained settings such as mobile phones and laptops is…

Practical results have shown that deep learning optimizers using small constant learning rates, hyperparameters close to one, and large batch sizes can find the model parameters of deep neural networks that minimize the loss functions. We…

Machine Learning · Computer Science 2022-08-23 Hideaki Iiduka

Optimization plays a costly and crucial role in developing machine learning systems. In learned optimizers, the few hyperparameters of commonly used hand-designed optimizers, e.g. Adam or SGD, are replaced with flexible parametric…

Machine Learning · Computer Science 2022-07-19 Luke Metz , C. Daniel Freeman , James Harrison , Niru Maheswaranathan , Jascha Sohl-Dickstein

Large language models (LLMs) are increasingly prevalent across diverse applications. However, their enormous size limits storage and processing capabilities to a few well-resourced stakeholders. As a result, most applications rely on…

Computation and Language · Computer Science 2025-11-05 Mohammadsajad Alipour , Mohammad Mohammadi Amiri

Approximate bi-level optimization (ABLO) consists of (outer-level) optimization problems, involving numerical (inner-level) optimization loops. While ABLO has many applications across deep learning, it suffers from time and memory…

Machine Learning · Computer Science 2021-06-09 Valerii Likhosherstov , Xingyou Song , Krzysztof Choromanski , Jared Davis , Adrian Weller

Quantized training of Large Language Models (LLMs) remains an open challenge, as maintaining accuracy while performing all matrix multiplications in low precision has proven difficult. This is particularly the case when fine-tuning…

Machine Learning · Computer Science 2025-11-06 Saleh Ashkboos , Mahdi Nikdan , Soroush Tabesh , Roberto L. Castro , Torsten Hoefler , Dan Alistarh

Optimization is essential in deep learning. The foundational method upon which most optimizers are built is momentum-based stochastic gradient descent. However, it suffers from two key drawbacks. First, it has noisy and varying gradients,…

Machine Learning · Computer Science 2026-05-22 Saurabh Saini , Kapil Ahuja , Thomas Wick , Saurav Kumar

The continuous improvements on image compression with variational autoencoders have lead to learned codecs competitive with conventional approaches in terms of rate-distortion efficiency. Nonetheless, taking the quantization into account…

Machine Learning · Computer Science 2025-06-11 Florian Borzechowski , Michael Schäfer , Heiko Schwarz , Jonathan Pfaff , Detlev Marpe , Thomas Wiegand

Adam-type optimizers, as a class of adaptive moment estimation methods with the exponential moving average scheme, have been successfully used in many applications of deep learning. Such methods are appealing due to the capability on…

Machine Learning · Computer Science 2020-12-17 Bingxin Zhou , Xuebin Zheng , Junbin Gao

The sequential minimal optimization (SMO) algorithm and variants thereof are the de facto standard method for solving large quadratic programs for support vector machine (SVM) training. In this paper we propose a simple yet powerful…

Machine Learning · Computer Science 2013-08-01 Tobias Glasmachers

Modern deep learning heavily depends on adaptive optimizers such as Adam and its variants, which are renowned for their capacity to handle model scaling and streamline hyperparameter tuning. However, these algorithms typically experience…

Machine Learning · Computer Science 2024-10-18 Son Nguyen , Lizhang Chen , Bo Liu , Qiang Liu

We consider the problem of jointly optimizing ADC bit resolution and analog beamforming over a frequency-selective massive MIMO uplink. We build upon a popular model to incorporate the impact of low bit resolution ADCs, that hitherto has…

Signal Processing · Electrical Eng. & Systems 2019-02-28 Narayan Prasad , Xiao-Feng Qi , Alan Gatherer

Quantum computers promise to perform certain computations exponentially faster than any classical device. Precise control over their physical implementation and proper shielding from unwanted interactions with the environment become more…

Quantum Physics · Physics 2021-11-19 Thomas Häner , Torsten Hoefler , Matthias Troyer