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This paper proposes a polynomial-time algorithm to construct the monotone stepwise curve that minimizes the sum of squared errors with respect to a given cloud of data points. The fitted curve is also constrained on the maximum number of…

最优化与控制 · 数学 2021-07-01 Víctor Bucarey , Martine Labbé , Juan M. Morales , Salvador Pineda

Many complex systems change their structure over time, in these cases dynamic networks can provide a richer representation of such phenomena. As a consequence, many inference methods have been generalized to the dynamic case with the aim to…

社会与信息网络 · 计算机科学 2023-10-25 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

The paper proposes a new message passing algorithm for cycle-free factor graphs. The proposed "entropy message passing" (EMP) algorithm may be viewed as sum-product message passing over the entropy semiring, which has previously appeared in…

机器学习 · 计算机科学 2016-11-18 Velimir M. Ilic , Miomir S. Stankovic , Branimir T. Todorovic

There has recently been increasing interest in learning representations of temporal knowledge graphs (KGs), which record the dynamic relationships between entities over time. Temporal KGs often exhibit multiple simultaneous non-Euclidean…

机器学习 · 计算机科学 2020-12-03 Zhen Han , Yunpu Ma , Peng Chen , Volker Tresp

Dynamic graphs refer to graphs whose structure dynamically changes over time. Despite the benefits of learning vertex representations (i.e., embeddings) for dynamic graphs, existing works merely view a dynamic graph as a sequence of changes…

机器学习 · 计算机科学 2023-11-02 Yu Yang , Hongzhi Yin , Jiannong Cao , Tong Chen , Quoc Viet Hung Nguyen , Xiaofang Zhou , Lei Chen

We extend the generalized approximate message passing (G-AMP) approach, originally proposed for high-dimensional generalized-linear regression in the context of compressive sensing, to the generalized-bilinear case, which enables its…

信息论 · 计算机科学 2015-06-17 Jason T. Parker , Philip Schniter , Volkan Cevher

In this paper, we propose a novel method for monocular depth estimation in dynamic scenes. We first explore the arbitrariness of object's movement trajectory in dynamic scenes theoretically. To overcome the arbitrariness, we use assume that…

计算机视觉与模式识别 · 计算机科学 2024-11-08 Kebin Peng , John Quarles , Kevin Desai

We extend decision tree and random forest algorithms to product space manifolds: Cartesian products of Euclidean, hyperspherical, and hyperbolic manifolds. Such spaces have extremely expressive geometries capable of representing many…

机器学习 · 计算机科学 2025-05-08 Philippe Chlenski , Quentin Chu , Itsik Pe'er

Mesh simplification is the process of reducing the number of vertices, edges and triangles in a three-dimensional (3D) mesh while preserving the overall shape and salient features of the mesh. A popular strategy for this is edge collapse,…

计算几何 · 计算机科学 2025-12-24 Purva Kulkarni , Aravind Shankara Narayanan

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

统计理论 · 数学 2025-12-15 Piotr Bania , Anna Wójcik

Consider a distributed task where the communication network is fixed but the local inputs given to the nodes of the distributed system may change over time. In this work, we explore the following question: if some of the local inputs…

分布式、并行与集群计算 · 计算机科学 2021-01-20 Klaus-Tycho Foerster , Janne H. Korhonen , Ami Paz , Joel Rybicki , Stefan Schmid

Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

细胞行为 · 定量生物学 2018-08-16 Enrico Gavagnin , Christian A. Yates

In this paper we study the problem of dynamically maintaining graph properties under batches of edge insertions and deletions in the massively parallel model of computation. In this setting, the graph is stored on a number of machines, each…

数据结构与算法 · 计算机科学 2019-08-07 David Durfee , Laxman Dhulipala , Janardhan Kulkarni , Richard Peng , Saurabh Sawlani , Xiaorui Sun

The rapid growth of 3D content from modern reconstruction and generative pipelines, such as neural rendering and large-scale 3D asset generation, has led to an abundance of dense, noisy, and often non-manifold meshes. While these…

图形学 · 计算机科学 2026-05-15 Kunal Bhosikar , Preet Savalia , Lokender Tiwari , Brojeshwar Bhowmick

Neural networks are lately more and more often being used in the context of data-driven control, as an approximate model of the true system dynamics. Model Predictive Control (MPC) adopts this practise leading to neural MPC strategies. This…

系统与控制 · 电气工程与系统科学 2024-06-05 Spyridon Syntakas , Kostas Vlachos

The performance of space-time adaptive processing (STAP) is often degraded by factors such as limited sample size and moving targets. Traditional clutter covariance matrix (CCM) estimation relies on Euclidean metrics, which fail to capture…

综合数学 · 数学 2025-01-08 Jia-Mian Li , Jian-Yi Chen , Bing-Zhao Li

In this paper, we investigate the scheduling design of a mobile edge computing (MEC) system, where active mobile devices with computation tasks randomly appear in a cell. Every task can be computed at either the mobile device or the MEC…

信息论 · 计算机科学 2020-04-17 Shanfeng Huang , Bojie Lv , Rui Wang , Kaibin Huang

Autoregressive sequence modeling stands as the cornerstone of modern Generative AI, powering results across diverse modalities ranging from text generation to image generation. However, a fundamental limitation of this paradigm is the rigid…

机器学习 · 计算机科学 2026-02-02 Yangyan Li

Unraveling the dynamical motions of biomolecules is essential for bridging their structure and function, yet it remains a major computational challenge. Molecular dynamics (MD) simulation provides a detailed depiction of biomolecular…

生物大分子 · 定量生物学 2025-09-17 Allan dos Santos Costa , Manvitha Ponnapati , Dana Rubin , Tess Smidt , Joseph Jacobson

Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices…

数值分析 · 数学 2020-06-11 Daniel Seibel