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Real-world applications often face data privacy constraints and high acquisition costs, making the assumption of sufficient training data in incremental tasks unrealistic and leading to significant performance degradation in…

计算机视觉与模式识别 · 计算机科学 2025-08-08 Liang Bai , Hong Song , Jinfu Li , Yucong Lin , Jingfan Fan , Tianyu Fu , Danni Ai , Deqiang Xiao , Jian Yang

In this paper, a multi-parameterized proximal point algorithm combining with a relaxation step is developed for solving convex minimization problem subject to linear constraints. We show its global convergence and sublinear convergence rate…

数值分析 · 数学 2019-07-11 Jianchao Bai , Ke Guo , Xiaokai Chang

Legged robots can pass through complex field environments by selecting gaits and discrete footholds carefully. Traditional methods plan gait and foothold separately and treat them as the single-step optimal process. However, such processing…

机器人学 · 计算机科学 2023-07-06 Liang Ding , Peng Xu , Haibo Gao , Zhikai Wang , Ruyi Zhou , Zhaopei Gong , Guangjun Liu

Safe path and gait planning are essential for bipedal robots to navigate complex real-world environments. The prevailing approaches often plan the path and gait separately in a hierarchical fashion, potentially resulting in unsafe movements…

机器人学 · 计算机科学 2024-03-27 Chengyang Peng , Victor Paredes , Ayonga Hereid

We study the problem of designing systems in order to minimize cost while meeting a given flexibility target. Flexibility is attained by enforcing a joint chance constraint, which ensures that the system will exhibit feasible operation with…

最优化与控制 · 数学 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

Spline functions are smooth piecewise polynomials widely used for interpolation and smoothing, and nonnegative spline smoothing is also studied for nonnegative data. Previous research used sufficient conditions for the nonnegativity of…

最优化与控制 · 数学 2026-05-06 Hiroki Arai , Daichi Kitahara

Planning in hybrid systems with both discrete and continuous control variables is important for dealing with real-world applications such as extra-planetary exploration and multi-vehicle transportation systems. Meanwhile, generating…

机器人学 · 计算机科学 2021-02-23 Jingkai Chen , Brian Williams , Chuchu Fan

This paper provides an optimized cable path planning solution for a tree-topology network in an irregular 2D manifold in a 3D Euclidean space, with an application to the planning of submarine cable networks. Our solution method is based on…

系统与控制 · 电气工程与系统科学 2021-05-05 Tianjiao Wang , Zengfu Wang , Bill Moran , Moshe Zukerman

We provide new gradient-based methods for efficiently solving a broad class of ill-conditioned optimization problems. We consider the problem of minimizing a function $f : \mathbb{R}^d \rightarrow \mathbb{R}$ which is implicitly…

最优化与控制 · 数学 2021-11-08 Jonathan Kelner , Annie Marsden , Vatsal Sharan , Aaron Sidford , Gregory Valiant , Honglin Yuan

The optimal design of multi-target rendezvous and flyby missions is challenging due to the combination of traditional spacecraft trajectory optimization and high-dimensional combinatorial problems. This often requires large-scale global…

天体物理仪器与方法 · 物理学 2025-01-24 Jack Yarndley , Harry Holt , Roberto Armellin

Integer programming (IP) has proven to be highly effective in solving many path-based optimization problems in robotics. However, the applications of IP are generally done in an ad-hoc, problem specific manner. In this work, after examined…

机器人学 · 计算机科学 2019-03-04 Shuai D. Han , Jingjin Yu

The lasso is the most famous sparse regression and feature selection method. One reason for its popularity is the speed at which the underlying optimization problem can be solved. Sorted L-One Penalized Estimation (SLOPE) is a…

最优化与控制 · 数学 2024-05-14 Johan Larsson , Quentin Klopfenstein , Mathurin Massias , Jonas Wallin

Whilst there are many approaches to detecting changes in mean for a univariate time-series, the problem of detecting multiple changes in slope has comparatively been ignored. Part of the reason for this is that detecting changes in slope is…

统计计算 · 统计学 2017-02-06 Robert Maidstone , Paul Fearnhead , Adam Letchford

This paper proposes a novel framework for humanoid robots to execute inspection tasks with high efficiency and millimeter-level precision. The approach combines hierarchical planning, time-optimal standing position generation, and…

Augmentation methods for mixed-integer (linear) programs are a class of primal solution approaches in which a current iterate is augmented to a better solution or proved optimal. It is well known that the performance of these methods, i.e.,…

最优化与控制 · 数学 2015-10-20 Pierre Le Bodic , Jeffrey W. Pavelka , Marc E. Pfetsch , Sebastian Pokutta

Many real-world walking scenarios contain obstacles and unsafe ground patches (e.g., slippery or cluttered areas), leaving a disconnected set of admissible footholds that can be modeled as stepping-stone-like regions. We propose an onboard,…

机器人学 · 计算机科学 2026-03-10 Zhaoyang Xiang , Upama Pant , Ayonga Hereid

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

最优化与控制 · 数学 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

We solve large-scale mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This is motivated by the MILPs being able to model problems in multi-agent autonomy, e.g., task assignment problems and…

最优化与控制 · 数学 2022-11-23 Luke Fina , Matthew Hale

While modern policy optimization methods can do complex manipulation from sensory data, they struggle on problems with extended time horizons and multiple sub-goals. On the other hand, task and motion planning (TAMP) methods scale to long…

机器人学 · 计算机科学 2021-12-08 Michael James McDonald , Dylan Hadfield-Menell

In this paper we solve mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This work is motivated by the MILPs being able to model problems in multi-agent autonomy, such as task assignment problems…

最优化与控制 · 数学 2024-10-16 Luke Fina , Christopher Petersen , Matthew Hale