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We consider the problem of jointly modeling and clustering populations of tensors by introducing a high-dimensional tensor mixture model with heterogeneous covariances. To effectively tackle the high dimensionality of tensor objects, we…

统计方法学 · 统计学 2024-11-21 Biao Cai , Jingfei Zhang , Will Wei Sun

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

最优化与控制 · 数学 2025-11-03 Damilola Fasiku , Wentao Tang

Pretrained encoders for mathematical texts have achieved significant improvements on various tasks such as formula classification and information retrieval. Yet they remain limited in representing and capturing student strategies for entire…

计算机与社会 · 计算机科学 2026-04-13 Siddhartha Pradhan , Ethan Prihar , Erin Ottmar

In this paper, a new one-parameter filled function approach is developed for nonlinear multi-objective optimization. Inspired by key filled function ideas from single-objective optimization, the proposed method is adapted to the…

最优化与控制 · 数学 2026-04-01 Bikram Adhikary , Md Abu Talhamainuddin Ansary

Block coordinate descent is an optimization paradigm that iteratively updates one block of variables at a time, making it quite amenable to big data applications due to its scalability and performance. Its convergence behavior has been…

最优化与控制 · 数学 2023-10-13 Liangzu Peng , René Vidal

This work focuses on the limitations about the insufficient fitting capability of current quantum machine learning methods, which results from the over-reliance on a single data embedding strategy. We propose a novel quantum machine…

量子物理 · 物理学 2025-04-01 Siyu Han , Lihan Jia , Lanzhe Guo

In dense retrieval, deep encoders provide embeddings for both inputs and targets, and the softmax function is used to parameterize a distribution over a large number of candidate targets (e.g., textual passages for information retrieval).…

机器学习 · 计算机科学 2024-09-04 Nicholas Monath , Will Grathwohl , Michael Boratko , Rob Fergus , Andrew McCallum , Manzil Zaheer

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

最优化与控制 · 数学 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

最优化与控制 · 数学 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

An increasing share of captured images and videos are transmitted for storage and remote analysis by computer vision algorithms, rather than to be viewed by humans. Contrary to traditional standard codecs with engineered tools, neural…

计算机视觉与模式识别 · 计算机科学 2021-03-09 Lahiru D. Chamain , Fabien Racapé , Jean Bégaint , Akshay Pushparaja , Simon Feltman

For solving pseudo-convex global optimization problems, we present a novel fully adaptive steepest descent method (or ASDM) without any hard-to-estimate parameters. For the step-size regulation in an $\varepsilon$-normalized direction, we…

最优化与控制 · 数学 2021-08-12 Z. R. Gabidullina

Consider convex optimization problems subject to a large number of constraints. We focus on stochastic problems in which the objective takes the form of expected values and the feasible set is the intersection of a large number of convex…

机器学习 · 统计学 2015-11-13 Mengdi Wang , Yichen Chen , Jialin Liu , Yuantao Gu

Optimal control of switched systems is challenging due to the discrete nature of the switching control input. The embedding-based approach addresses this challenge by solving a corresponding relaxed optimal control problem with only…

最优化与控制 · 数学 2015-03-25 Hua Chen , Wei Zhang

We introduce a new convex optimization problem, termed quadratic decomposable submodular function minimization. The problem is closely related to decomposable submodular function minimization and arises in many learning on graphs and…

机器学习 · 计算机科学 2018-10-12 Pan Li , Niao He , Olgica Milenkovic

Text embeddings are essential components in modern NLP pipelines. Although numerous embedding models have been proposed, no single model consistently dominates across domains and tasks. This variability motivates the use of ensemble…

机器学习 · 计算机科学 2026-02-13 Sungjun Lim , Kangjun Noh , Youngjun Choi , Heeyoung Lee , Kyungwoo Song

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

最优化与控制 · 数学 2026-05-13 Trang H. Tran , Luis Nunes Vicente

We introduce a multi-phase rocket landing guidance framework that can handle nonlinear dynamics and does not mandate any additional mixed-integer or nonconvex constraints to handle discrete temporal events/switching. To achieve this, we…

Nonsmooth composite optimization with orthogonality constraints has a wide range of applications in statistical learning and data science. However, this problem is challenging due to its nonsmooth objective and computationally expensive…

最优化与控制 · 数学 2026-05-15 Ganzhao Yuan

Containers are used by an increasing number of Internet service providers to deploy their applications in multi-access edge computing (MEC) systems. Although container-based virtualization technologies significantly increase application…

分布式、并行与集群计算 · 计算机科学 2023-05-24 Ao Liu , Shaoshi Yang , Jingsheng Tan , Zongze Liang , Jiasen Sun , Tao Wen , Hongyan Yan

We introduce a method to provide vectorial representations of visual classification tasks which can be used to reason about the nature of those tasks and their relations. Given a dataset with ground-truth labels and a loss function defined…

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