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We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

Optimization and Control · Mathematics 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

The exponential ordering is exploited in the context of non-auto\-no\-mous delay systems, inducing monotone skew-product semiflows under less restrictive conditions than usual. Some dynamical concepts linked to the order, such as…

Dynamical Systems · Mathematics 2022-12-09 Sylvia Novo , Rafael Obaya , Ana M. Sanz , Victor M. Villarragut

This paper considers the efficient minimization of the infinite time average of a stationary ergodic process in the space of a handful of design parameters which affect it. Problems of this class, derived from physical or numerical…

Optimization and Control · Mathematics 2019-10-29 Pooriya Beyhaghi , Ryan Alimo , Thomas Bewley

We propose a general strategy to discretize the Dyson series without applying direct numerical quadrature to high-dimensional integrals, and extend this framework to open quantum systems. The resulting discretization can also be interpreted…

Quantum Physics · Physics 2025-10-20 Zhenning Cai , Yixiao Sun , Geshuo Wang

We develop a discrete-time optimal control framework for systems evolving on Lie groups. Our work generalizes the original Differential Dynamic Programming method, by employing a coordinate-free, Lie-theoretic approach for its derivation. A…

Optimization and Control · Mathematics 2018-09-24 George I. Boutselis , Evangelos Theodorou

Distributed optimization algorithms are used in a wide variety of problems involving complex network systems where the goal is for a set of agents in the network to solve a network-wide optimization problem via distributed update rules. In…

Optimization and Control · Mathematics 2025-09-23 Liam Hallinan , Ioannis Lestas

We study sorting in the evolving data model, introduced by [AKMU11], where the true total order changes while the sorting algorithm is processing the input. More precisely, each comparison operation of the algorithm is followed by a…

Data Structures and Algorithms · Computer Science 2024-09-24 George Giakkoupis , Marcos Kiwi , Dimitrios Los

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

Optimization and Control · Mathematics 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

Threshold methods are popular for ordinal regression problems, which are classification problems for data with a natural ordinal relation. They learn a one-dimensional transformation (1DT) of observations of the explanatory variable, and…

Machine Learning · Computer Science 2024-05-24 Ryoya Yamasaki , Toshiyuki Tanaka

Supervised fine-tuning (SFT) is computationally efficient but often yields inferior generalization compared to reinforcement learning (RL). This gap is primarily driven by RL's use of on-policy data. We propose a framework to bridge this…

Machine Learning · Computer Science 2026-03-17 Miaosen Zhang , Yishan Liu , Shuxia Lin , Xu Yang , Qi Dai , Chong Luo , Weihao Jiang , Peng Hou , Anxiang Zeng , Xin Geng , Baining Guo

Deep learning has been widely applied in recommender systems, which has achieved revolutionary progress recently. However, most existing learning-based methods assume that the user and item distributions remain unchanged between the…

Information Retrieval · Computer Science 2025-03-13 Xihong Yang , Yiqi Wang , Jin Chen , Wenqi Fan , Xiangyu Zhao , En Zhu , Xinwang Liu , Defu Lian

Most of the previous works on data flow optimizations for Machine Learning hardware accelerators try to find algorithmic re-factorization such as loop-reordering and loop-tiling. However, the analysis and information they provide are still…

Hardware Architecture · Computer Science 2021-12-21 Vincent Tableau Roche , Purushotham Murugappa Velayuthan

Ou et al. (2022) introduce the problem of learning set functions from data generated by a so-called optimal subset oracle. Their approach approximates the underlying utility function with an energy-based model, whose parameters are…

Machine Learning · Computer Science 2024-12-18 Gözde Özcan , Chengzhi Shi , Stratis Ioannidis

We give optimal sorting algorithms in the evolving data framework, where an algorithm's input data is changing while the algorithm is executing. In this framework, instead of producing a final output, an algorithm attempts to maintain an…

Data Structures and Algorithms · Computer Science 2018-05-10 Juan Jose Besa , William E. Devanny , David Eppstein , Michael T. Goodrich , Timothy Johnson

We consider the problem of discrete-time signal denoising, focusing on a specific family of non-linear convolution-type estimators. Each such estimator is associated with a time-invariant filter which is obtained adaptively, by solving a…

Statistics Theory · Mathematics 2018-06-13 Dmitrii Ostrovskii , Zaid Harchaoui

We present a new $4$-approximation algorithm for the Combinatorial Motion Planning problem which runs in $\mathcal{O}(n^2\alpha(n^2,n))$ time, where $\alpha$ is the functional inverse of the Ackermann function, and a fully distributed…

Discrete Mathematics · Computer Science 2018-05-24 Simran Dokania , Aditya Paliwal , Shrisha Rao

We study sorting algorithms based on randomized round-robin comparisons. Specifically, we study Spin-the-bottle sort, where comparisons are unrestricted, and Annealing sort, where comparisons are restricted to a distance bounded by a…

Data Structures and Algorithms · Computer Science 2015-03-17 Michael T. Goodrich

In this paper, we study the finite-sample statistical rates of distributional temporal difference (TD) learning with linear function approximation. The purpose of distributional TD learning is to estimate the return distribution of a…

Machine Learning · Statistics 2025-11-18 Kaicheng Jin , Yang Peng , Jiansheng Yang , Zhihua Zhang

A good parallelization strategy can significantly improve the efficiency or reduce the cost for the distributed training of deep neural networks (DNNs). Recently, several methods have been proposed to find efficient parallelization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Zhenkun Cai , Kaihao Ma , Xiao Yan , Yidi Wu , Yuzhen Huang , James Cheng , Teng Su , Fan Yu

An interior-point algorithm framework is proposed, analyzed, and tested for solving nonlinearly constrained continuous optimization problems. The main setting of interest is when the objective and constraint functions may be nonlinear…

Optimization and Control · Mathematics 2024-08-30 Frank E. Curtis , Xin Jiang , Qi Wang