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In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of straggling machines. Recent work has studied approximate gradient coding, which…

Machine Learning · Statistics 2021-08-09 Margalit Glasgow , Mary Wootters

Fractional gradient descent has been studied extensively, with a focus on its ability to extend traditional gradient descent methods by incorporating fractional-order derivatives. This approach allows for more flexibility in navigating…

Machine Learning · Computer Science 2024-11-25 Teodor Alexandru Szente , James Harrison , Mihai Zanfir , Cristian Sminchisescu

We propose a novel approach to learning the generative neural fields represented by linear combinations of implicit basis networks. Our algorithm learns basis networks in the form of implicit neural representations and their coefficients in…

Machine Learning · Computer Science 2023-10-31 Tackgeun You , Mijeong Kim , Jungtaek Kim , Bohyung Han

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

Machine Learning · Statistics 2021-03-08 Nicole Mücke

Continual Learning requires a model to learn multiple tasks in sequence while maintaining both stability:preserving knowledge from previously learned tasks, and plasticity:effectively learning new tasks. Gradient projection has emerged as…

Machine Learning · Computer Science 2025-06-12 Haomiao Qiu , Miao Zhang , Ziyue Qiao , Weili Guan , Min Zhang , Liqiang Nie

Optimization problems occurring in a wide variety of physical design problems, including but not limited to optical engineering, quantum control, structural engineering, involve minimization of a simple cost function of the state of the…

Optimization and Control · Mathematics 2021-11-05 Rahul Trivedi

The ability to learn continually without forgetting the past tasks is a desired attribute for artificial learning systems. Existing approaches to enable such learning in artificial neural networks usually rely on network growth, importance…

Machine Learning · Computer Science 2021-03-18 Gobinda Saha , Isha Garg , Kaushik Roy

Deep feedforward and recurrent networks have achieved impressive results in many perception and language processing applications. This success is partially attributed to architectural innovations such as convolutional and long short-term…

Machine Learning · Statistics 2015-11-24 Arvind Neelakantan , Luke Vilnis , Quoc V. Le , Ilya Sutskever , Lukasz Kaiser , Karol Kurach , James Martens

We introduce a novel optimization problem formulation that departs from the conventional way of minimizing machine learning model loss as a black-box function. Unlike traditional formulations, the proposed approach explicitly incorporates…

Machine Learning · Computer Science 2026-01-07 Yury Demidovich , Grigory Malinovsky , Egor Shulgin , Peter Richtárik

The integration of contextual embeddings into the optimization processes of large language models is an advancement in natural language processing. The Context-Aware Neural Gradient Mapping framework introduces a dynamic gradient adjustment…

Computation and Language · Computer Science 2025-04-25 David Boldo , Lily Pemberton , Gabriel Thistledown , Jacob Fairchild , Felix Kowalski

Advancing towards generalist agents necessitates the concurrent processing of multiple tasks using a unified model, thereby underscoring the growing significance of simultaneous model training on multiple downstream tasks. A common issue in…

Machine Learning · Computer Science 2024-11-28 Zhi Zhang , Jiayi Shen , Congfeng Cao , Gaole Dai , Shiji Zhou , Qizhe Zhang , Shanghang Zhang , Ekaterina Shutova

Neural networks for image classification tasks assume that any given image during inference belongs to one of the training classes. This closed-set assumption is challenged in real-world applications where models may encounter inputs of…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Jinsol Lee , Ghassan AlRegib

Implicit models, which allow for the generation of samples but not for point-wise evaluation of probabilities, are omnipresent in real-world problems tackled by machine learning and a hot topic of current research. Some examples include…

Machine Learning · Statistics 2018-04-27 Yingzhen Li , Richard E. Turner

Max-cut, clustering, and many other partitioning problems that are of significant importance to machine learning and other scientific fields are NP-hard, a reality that has motivated researchers to develop a wealth of approximation…

Data Structures and Algorithms · Computer Science 2018-10-17 Maria-Florina Balcan , Vaishnavh Nagarajan , Ellen Vitercik , Colin White

The move from hand-designed features to learned features in machine learning has been wildly successful. In spite of this, optimization algorithms are still designed by hand. In this paper we show how the design of an optimization algorithm…

Neural and Evolutionary Computing · Computer Science 2016-12-01 Marcin Andrychowicz , Misha Denil , Sergio Gomez , Matthew W. Hoffman , David Pfau , Tom Schaul , Brendan Shillingford , Nando de Freitas

A crucial task in system identification problems is the selection of the most appropriate model class, and is classically addressed resorting to cross-validation or using asymptotic arguments. As recently suggested in the literature, this…

Numerical Analysis · Mathematics 2015-06-09 Silvia Bonettini , Alessandro Chiuso , Marco Prato

World models paired with model predictive control (MPC) can be trained offline on large-scale datasets of expert trajectories and enable generalization to a wide range of planning tasks at inference time. Compared to traditional MPC…

Machine Learning · Computer Science 2025-12-11 Arjun Parthasarathy , Nimit Kalra , Rohun Agrawal , Yann LeCun , Oumayma Bounou , Pavel Izmailov , Micah Goldblum

Optimization algorithms for solving nonconvex inverse problem have attracted significant interests recently. However, existing methods require the nonconvex regularization to be smooth or simple to ensure convergence. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Qingchao Zhang , Xiaojing Ye , Hongcheng Liu , Yunmei Chen

Continual learning, the ability of a model to adapt to an ongoing sequence of tasks without forgetting earlier ones, is a central goal of artificial intelligence. To better understand its underlying mechanisms, we study the limitations of…

Machine Learning · Statistics 2026-04-21 Hossein Taheri , Avishek Ghosh , Arya Mazumdar

We propose a variant of the classical conditional gradient method for sparse inverse problems with differentiable measurement models. Such models arise in many practical problems including superresolution, time-series modeling, and matrix…

Optimization and Control · Mathematics 2015-07-07 Nicholas Boyd , Geoffrey Schiebinger , Benjamin Recht
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