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The modeling of multi-energy systems (MES) is the basic task of analyzing energy systems integration. The variable energy efficiencies of the energy conversion and storage components in MES introduce nonlinearity to the model and thus…

Optimization and Control · Mathematics 2019-04-12 Wujing Huang , Ning Zhang , Yi Wang , Tomislav Capuder , Igor Kuzle , Chongqing Kang

In this work, we develop an optimization framework for problems whose solutions are well-approximated by Hierarchical Tucker (HT) tensors, an efficient structured tensor format based on recursive subspace factorizations. By exploiting the…

Numerical Analysis · Mathematics 2014-05-12 Curt Da Silva , Felix J. Herrmann

Multi-hop question answering (QA) requires systems to iteratively retrieve evidence and reason across multiple hops. While recent RAG and agentic methods report strong results, the underlying retrieval--reasoning \emph{process} is often…

Computation and Language · Computer Science 2026-01-05 Yuelyu Ji , Zhuochun Li , Rui Meng , Daqing He

The geometric median covariation matrix is a robust multivariate indicator of dispersion which can be extended without any difficulty to functional data. We define estimators, based on recursive algorithms, that can be simply updated at…

Statistics Theory · Mathematics 2016-07-12 Hervé Cardot , Antoine Godichon-Baggioni

We propose a method that enables practitioners to conveniently incorporate custom non-decomposable performance metrics into differentiable learning pipelines, notably those based upon neural network architectures. Our approach is based on…

Machine Learning · Computer Science 2020-03-04 Rizal Fathony , J. Zico Kolter

We study a dynamic version of the implicit trace estimation problem. Given access to an oracle for computing matrix-vector multiplications with a dynamically changing matrix A, our goal is to maintain an accurate approximation to A's trace…

Data Structures and Algorithms · Computer Science 2021-10-27 Prathamesh Dharangutte , Christopher Musco

This paper presents a hierarchical planning algorithm for racing with multiple opponents. The two-stage approach consists of a high-level behavioral planning step and a low-level optimization step. By combining discrete and continuous…

Robotics · Computer Science 2026-04-29 Georg Jank , Matthias Rowold , Boris Lohmann

Sparse matrix multiplication is an important component of linear algebra computations. Implementing sparse matrix multiplication on an associative processor (AP) enables high level of parallelism, where a row of one matrix is multiplied in…

Mathematical Software · Computer Science 2017-05-23 L. Yavits , A. Morad , R. Ginosar

We present attributed hierarchical port graphs (AHP) as an extension of port graphs that aims at facilitating the design of modular port graph models for complex systems. AHP consist of a number of interconnected layers, where each layer…

Logic in Computer Science · Computer Science 2018-02-20 Nneka Chinelo Ene , Maribel Fernández , Bruno Pinaud

The estimation of high dimensional precision matrices has been a central topic in statistical learning. However, as the number of parameters scales quadratically with the dimension $p$, many state-of-the-art methods do not scale well to…

Computation · Statistics 2019-07-10 Cheng Wang , Binyan Jiang

A combination of hierarchical tree-like data structures and data access patterns from fast multipole methods and hierarchical low-rank approximation of linear operators from H-matrix methods appears to form an algorithmic path forward for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-10 Rio Yokota , George Turkiyyah , David Keyes

We study robust PCA for the fully observed setting, which is about separating a low rank matrix $\boldsymbol{L}$ and a sparse matrix $\boldsymbol{S}$ from their sum $\boldsymbol{D}=\boldsymbol{L}+\boldsymbol{S}$. In this paper, a new…

Information Theory · Computer Science 2021-06-29 HanQin Cai , Jian-Feng Cai , Ke Wei

We introduce and address the problem of ad hoc table retrieval: answering a keyword query with a ranked list of tables. This task is not only interesting on its own account, but is also being used as a core component in many other…

Information Retrieval · Computer Science 2018-03-09 Shuo Zhang , Krisztian Balog

Hierarchical matrices can be used to construct efficient preconditioners for partial differential and integral equations by taking advantage of low-rank structures in triangular factorizations and inverses of the corresponding stiffness…

Numerical Analysis · Mathematics 2019-06-13 Steffen Börm

Pairwise comparison matrix as a crucial component of AHP, presents the prefer- ence relations among alternatives. However, in many cases, the pairwise comparison matrix is difficult to complete, which obstructs the subsequent operations of…

Optimization and Control · Mathematics 2016-07-28 Xinyi Zhou , Yong Hu , Yong Deng , Felix T. S. Chan , Alessio Ishizak

Sequential recommendation demonstrates the capability to recommend items by modeling the sequential behavior of users. Traditional methods typically treat users as sequences of items, overlooking the collaborative relationships among them.…

Information Retrieval · Computer Science 2023-08-15 Sijia Liu , Jiahao Liu , Hansu Gu , Dongsheng Li , Tun Lu , Peng Zhang , Ning Gu

Feature missing is a serious problem in many applications, which may lead to low quality of training data and further significantly degrade the learning performance. While feature acquisition usually involves special devices or complex…

Machine Learning · Computer Science 2018-06-06 Sheng-Jun Huang , Miao Xu , Ming-Kun Xie , Masashi Sugiyama , Gang Niu , Songcan Chen

How data is represented and operationalized is critical for building computational solutions that are both effective and efficient. A common approach is to represent data objects as binary vectors, denoted \textit{hash codes}, which require…

Information Retrieval · Computer Science 2021-09-07 Casper Hansen

The multi-factor model is a widely used model in quantitative investment. The success of a multi-factor model is largely determined by the effectiveness of the alpha factors used in the model. This paper proposes a new evolutionary…

Computational Finance · Quantitative Finance 2020-04-07 Tianping Zhang , Yuanqi Li , Yifei Jin , Jian Li

The theory community has proposed several new heap variants in the recent past which have remained largely untested experimentally. We take the field back to the drawing board, with straightforward implementations of both classic and novel…

Data Structures and Algorithms · Computer Science 2014-03-04 Daniel H. Larkin , Siddhartha Sen , Robert E. Tarjan