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Global Value Numbering(GVN) is a popular method for detecting redundant computations. A polynomial time algorithm for GVN is presented by Gulwani and Necula(2006). Here we present two limitations of this GVN algorithm due to which detection…

Programming Languages · Computer Science 2018-04-09 Saleena Nabeezath , Vineeth Paleri

Global Value Numbering (GVN) is an important static analysis to detect equivalent expressions in a program. We present an iterative data-flow analysis GVN algorithm in SSA for the purpose of detecting total redundancies. The central…

Programming Languages · Computer Science 2015-04-14 Rekha R Pai

In this paper, we introduce a generalized value iteration network (GVIN), which is an end-to-end neural network planning module. GVIN emulates the value iteration algorithm by using a novel graph convolution operator, which enables GVIN to…

Machine Learning · Computer Science 2017-10-27 Sufeng Niu , Siheng Chen , Hanyu Guo , Colin Targonski , Melissa C. Smith , Jelena Kovačević

Graph Neural Network (GNN) is a powerful tool to perform standard machine learning on graphs. To have a Euclidean representation of every node in the Non-Euclidean graph-like data, GNN follows neighbourhood aggregation and combination of…

Machine Learning · Computer Science 2021-11-18 Sucheta Dawn , Sanghamitra Bandyopadhyay

Consider a distributed system N in which each agent has an input value and each communication link has a weight. Given a global function, that is, a function f whose value depends on the whole network, the goal is for every agent to…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-08-08 Joseph Y. Halpern , Sabina Petride

Predicting temporal progress from visual trajectories is important for intelligent robots that can learn, adapt, and improve. However, learning such progress estimator, or temporal value function, across different tasks and domains requires…

Variable Elimination (VE) is a classical exact inference algorithm for probabilistic graphical models such as Bayesian Networks, computing the marginal distribution of a subset of the random variables in the model. Our goal is to understand…

Logic in Computer Science · Computer Science 2025-01-28 Thomas Ehrhard , Claudia Faggian , Michele Pagani

Existing value function approximation methods have been successfully used in many applications, but they often lack useful a priori error bounds. We propose a new approximate bilinear programming formulation of value function approximation,…

Artificial Intelligence · Computer Science 2010-06-15 Marek Petrik , Shlomo Zilberstein

We approach structured output prediction by optimizing a deep value network (DVN) to precisely estimate the task loss on different output configurations for a given input. Once the model is trained, we perform inference by gradient descent…

Machine Learning · Computer Science 2017-08-09 Michael Gygli , Mohammad Norouzi , Anelia Angelova

Generalized singular values (GSVs) play an essential role in the comparative analysis. In the real world data for comparative analysis, both data matrices are usually numerically low-rank. This paper proposes a randomized algorithm to first…

Numerical Analysis · Mathematics 2024-04-16 Weiwei Xu , Weijie Shen , Wen Li , Weiguo Gao , Yingzhou Li

Generalized variational inference (GVI) provides an optimization-theoretic framework for statistical estimation that encapsulates many traditional estimation procedures. The typical GVI problem is to compute a distribution of parameters…

Optimization and Control · Mathematics 2023-10-27 Aurya S. Javeed , Drew P. Kouri , Thomas M. Surowiec

The paradigm shift from shallow classifiers with hand-crafted features to end-to-end trainable deep learning models has shown significant improvements on supervised learning tasks. Despite the promising power of deep neural networks (DNN),…

Machine Learning · Computer Science 2017-06-09 Chih-Kuan Yeh , Yao-Hung Hubert Tsai , Yu-Chiang Frank Wang

General Value Function (GVF) is a powerful tool to represent both the {\em predictive} and {\em retrospective} knowledge in reinforcement learning (RL). In practice, often multiple interrelated GVFs need to be evaluated jointly with…

Machine Learning · Computer Science 2021-07-07 Tengyu Xu , Zhuoran Yang , Zhaoran Wang , Yingbin Liang

Generalized cross validation (GCV) is one of the most important approaches used to estimate parameters in the context of inverse problems and regularization techniques. A notable example is the determination of the smoothness parameter in…

Machine Learning · Statistics 2017-06-09 Giulio Bottegal , Gianluigi Pillonetto

Precise analysis of pointer information plays an important role in many static analysis techniques and tools today. The precision, however, must be balanced against the scalability of the analysis. This paper focusses on improving the…

Programming Languages · Computer Science 2017-02-21 Ankush Das , Akash Lal

The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the…

Numerical Analysis · Mathematics 2022-01-24 Nicolas Boullé , Alex Townsend

We give a polynomial time reduction from vector scheduling problem (VS) to generalized load balancing problem (GLB). This reduction gives the first non-trivial online algorithm for VS where vectors come in an online fashion. The online…

Computational Complexity · Computer Science 2014-01-15 Xiaojun Zhu , Qun Li , Weizhen Mao , Guihai Chen

The generalized singular value decomposition (GSVD) is a valuable tool that has many applications in computational science. However, computing the GSVD for large-scale problems is challenging. Motivated by applications in hyper-differential…

Numerical Analysis · Mathematics 2020-02-10 Arvind K. Saibaba , Joseph Hart , Bart van Bloemen Waanders

The output distribution of a neural network (NN) over the entire input space captures the complete input-output mapping relationship, offering insights toward a more comprehensive NN understanding. Exhaustive enumeration or traditional…

Artificial Intelligence · Computer Science 2023-02-22 Weitang Liu , Ying-Wai Li , Yi-Zhuang You , Jingbo Shang

Finding the optimal solution to a complex optimization problem is of great importance in practically all fields of science, technology, technical design and econometrics. We demonstrate that a modified Grover's quantum algorithm can be…

Quantum Physics · Physics 2015-05-13 Jing Zhu , Zhen Huang , Sabre Kais
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