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Coded distributed computing framework enables large-scale machine learning (ML) models to be trained efficiently in a distributed manner, while mitigating the straggler effect. In this work, we consider a multi-task assignment problem in a…

Information Theory · Computer Science 2019-05-21 Yuxuan Sun , Junlin Zhao , Sheng Zhou , Deniz Gündüz

Coding schemes for several problems in network information theory are constructed starting from point-to-point channel codes that are designed for symmetric channels. Given that the point-to-point codes satisfy certain properties pertaining…

Information Theory · Computer Science 2023-10-23 Nadim Ghaddar , Shouvik Ganguly , Lele Wang , Young-Han Kim

We construct optimal secure coded distributed schemes that extend the known optimal constructions over fields of characteristic 0 to all fields. A serendipitous result is that we can encode \emph{all} functions over finite fields with a…

Information Theory · Computer Science 2025-04-28 Pedro Soto

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

The remarkable growth and significant success of machine learning have expanded its applications into programming languages and program analysis. However, a key challenge in adopting the latest machine learning methods is the representation…

Programming Languages · Computer Science 2023-12-01 Ali TehraniJamsaz , Quazi Ishtiaque Mahmud , Le Chen , Nesreen K. Ahmed , Ali Jannesari

The following \textit{network computing} problem is considered. Source nodes in a directed acyclic network generate independent messages and a single receiver node computes a target function $f$ of the messages. The objective is to maximize…

Information Theory · Computer Science 2016-11-18 Rathinakumar Appuswamy , Massimo Franceschetti , Nikhil Karamchandani , Ken Zeger

We consider a large-scale matrix multiplication problem where the computation is carried out using a distributed system with a master node and multiple worker nodes, where each worker can store parts of the input matrices. We propose a…

Information Theory · Computer Science 2018-01-25 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Scalable addressing of high dimensional constrained combinatorial optimization problems is a challenge that arises in several science and engineering disciplines. Recent work introduced novel application of graph neural networks for solving…

Optimization and Control · Mathematics 2024-05-20 Nasimeh Heydaribeni , Xinrui Zhan , Ruisi Zhang , Tina Eliassi-Rad , Farinaz Koushanfar

This paper extends the well-known source coding problem of multiple descriptions, in its general and basic setting, to analog source-channel coding scenarios. Encoding-decoding functions that optimally map between the (possibly continuous…

Information Theory · Computer Science 2015-10-05 Mustafa Said Mehmetoglu , Emrah Akyol , Kenneth Rose

Let $X_1, ..., X_m$ be a set of $m$ statistically dependent sources over the common alphabet $\mathbb{F}_q$, that are linearly independent when considered as functions over the sample space. We consider a distributed function computation…

Information Theory · Computer Science 2016-11-17 V. Lalitha , N. Prakash , K. Vinodh , P. Vijay Kumar , S. Sandeep Pradhan

Consider the problem of source coding in networks with multiple receiving terminals, each having access to some kind of side information. In this case, standard coding techniques are either prohibitively complex to decode, or require…

Information Theory · Computer Science 2011-11-28 Chen Avin , Michael Borokhovich , Asaf Cohen , Zvi Lotker

This paper investigates a unification of distributed source coding, multiple description coding, and source coding with side information at decoders. The equivalence between the multiple-decoder extension of distributed source coding with…

Information Theory · Computer Science 2024-10-28 Jun Muramatsu

We study the problem of the reconstruction of a Gaussian field defined in [0,1] using N sensors deployed at regular intervals. The goal is to quantify the total data rate required for the reconstruction of the field with a given mean square…

Information Theory · Computer Science 2007-10-23 Akshay Kashyap , Luis Alfonso Lastras-Montaño , Cathy Xia , Zhen Liu

The increasing complexity of computing systems places a tremendous burden on optimizing compilers, requiring ever more accurate and aggressive optimizations. Machine learning offers significant benefits for constructing optimization…

Machine Learning · Computer Science 2020-03-25 Chris Cummins , Zacharias V. Fisches , Tal Ben-Nun , Torsten Hoefler , Hugh Leather

We develop a novel gradient-based algorithm for optimizing nonsmooth nonconvex functions where nonsmoothness arises from explicit nonsmooth operators in the objective's analytical form. Our key innovation involves encoding active smooth…

Optimization and Control · Mathematics 2025-05-08 Fengqiao Luo

In this paper, we consider the information-theoretic characterization of the set of achievable rates and distortions in a broad class of multiterminal communication scenarios with general continuous-valued sources and channels. A framework…

Information Theory · Computer Science 2022-02-24 Farhad Shirani , S. Sandeep Pradhan

In the current work, we have formulated the optimal bit-allocation problem for a scalable codec of images or videos as a constrained vector-valued optimization problem and demonstrated that there can be many optimal solutions, called Pareto…

Information Theory · Computer Science 2016-03-03 Wen-Liang Hwang

The problem of reconstructing a source sequence with the presence of decoder side-information that is mis-synchronized to the source due to deletions is studied in a distributed source coding framework. Motivated by practical applications,…

Information Theory · Computer Science 2016-11-17 Nan Ma , Kannan Ramchandran , David Tse

Raptor codes have been widely used in many multimedia broadcast/multicast applications. However, our understanding of Raptor codes is still incomplete due to the insufficient amount of theoretical work on the performance analysis of Raptor…

Information Theory · Computer Science 2015-01-30 Peng Wang , Guoqiang Mao , Zihuai Lin , Ming Ding , Weifa Liang , Xiaohu Ge , Zhiyun Lin

We deal with zero-delay source coding of a vector-valued Gauss-Markov source subject to a mean-squared error (MSE) fidelity criterion characterized by the operational zero-delay vector-valued Gaussian rate distortion function (RDF). We…

Information Theory · Computer Science 2018-10-02 Photios A. Stavrou , Jan Ostergaard , Charalambos D. Charalambous