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Emerging memory technologies have a significant gap between the cost, both in time and in energy, of writing to memory versus reading from memory. In this paper we present models and algorithms that account for this difference, with a focus…

Data Structures and Algorithms · Computer Science 2016-03-15 Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Julian Shun

In memory-constrained algorithms we have read-only access to the input, and the number of additional variables is limited. In this paper we introduce the compressed stack technique, a method that allows to transform algorithms whose space…

Computational Geometry · Computer Science 2014-06-26 Luis Barba , Matias Korman , Stefan Langerman , Kunikiko Sadakane , Rodrigo Silveira

Memristive in-memory sorting has been proposed recently to improve hardware sorting efficiency. Using iterative in-memory min computations, data movements between memory and external processing units can be eliminated for improved latency…

Hardware Architecture · Computer Science 2022-02-22 Lianfeng Yu , Zhaokun Jing , Yuchao Yang , Yaoyu Tao

Optimizing the consolidation process in container-based fulfillment centers requires trading off competing objectives such as processing speed, resource usage, and space utilization while adhering to a range of real-world operational…

Machine Learning · Computer Science 2026-03-02 Sikata Sengupta , Guangyi Liu , Omer Gottesman , Joseph W Durham , Michael Kearns , Aaron Roth , Michael Caldara

We present space efficient Monte Carlo algorithms that solve Subset Sum and Knapsack instances with $n$ items using $O^*(2^{0.86n})$ time and polynomial space, where the $O^*(\cdot)$ notation suppresses factors polynomial in the input size.…

Data Structures and Algorithms · Computer Science 2017-06-27 Nikhil Bansal , Shashwat Garg , Jesper Nederlof , Nikhil Vyas

The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider…

Numerical Analysis · Mathematics 2018-05-08 Iria C. S. Cosme , Isaac F. Fernandes , João L. de Carvalho , Samuel Xavier-de-Souza

We revisit the problem of permuting an array of length $n$ according to a given permutation in place, that is, using only a small number of bits of extra storage. Fich, Munro and Poblete [FOCS 1990, SICOMP 1995] obtained an elegant…

Data Structures and Algorithms · Computer Science 2021-01-12 Bartłomiej Dudek , Paweł Gawrychowski , Karol Pokorski

In-memory computing is a promising alternative to traditional computer designs, as it helps overcome performance limits caused by the separation of memory and processing units. However, many current approaches struggle with unreliable…

Although deep reinforcement learning has advanced significantly over the past several years, sample efficiency remains a major challenge. Careful choice of input representations can help improve efficiency depending on the structure present…

Machine Learning · Computer Science 2019-05-08 John Mern , Dorsa Sadigh , Mykel Kochenderfer

We investigate effects of ordering in blocked matrix--matrix multiplication. We find that submatrices do not have to be stored contiguously in memory to achieve near optimal performance. Instead it is the choice of execution order of the…

Data Structures and Algorithms · Computer Science 2008-08-15 Nicolas Bock , Emanuel H. Rubensson , Paweł Sałek , Anders M. N. Niklasson , Matt Challacombe

Sorting is a fundamental and well studied problem that has been studied extensively. Sorting plays an important role in the area of databases, as many queries can be served much faster if the relations are first sorted. One of the most…

Databases · Computer Science 2021-03-29 Yamit Barshatz-Schneor , Roy Friedman

We present the first explicit comparison-based algorithm that sorts the sumset $X + Y = \{x_i + y_j,\ \forall 0 \le i, j < n\}$, where $X$ and $Y$ are sorted arrays of real numbers, in optimal $O(n^2)$ time and comparisons. While Fredman…

Data Structures and Algorithms · Computer Science 2025-04-24 S. Mundhra

Low-rank representation~(LRR) has been a significant method for segmenting data that are generated from a union of subspaces. It is, however, known that solving the LRR program is challenging in terms of time complexity and memory…

Machine Learning · Statistics 2017-10-24 Jie Shen , Ping Li , Huan Xu

The proliferation of number of processing elements (PEs) in parallel computer systems, along with the use of more extensive parallelization of algorithms causes the interprocessor communications dominate VLSI chip space. This paper proposes…

Data Structures and Algorithms · Computer Science 2020-11-24 Taeyoung An , A. Yavuz Oruc

While the accuracy of convolutional neural networks has achieved vast improvements by introducing larger and deeper network architectures, also the memory footprint for storing their parameters and activations has increased. This trend…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Petar Jokic , Stephane Emery , Luca Benini

We give a simple and efficient algorithm for adaptively counting inversions in a sequence of $n$ integers. Our algorithm runs in $O(n + n \sqrt{\lg{(Inv/n)}})$ time in the word-RAM model of computation, where $Inv$ is the number of…

Data Structures and Algorithms · Computer Science 2015-03-05 Amr Elmasry

Sparse matrix-vector multiplication (SpMV) is a fundamental operation in machine learning, scientific computing, and graph algorithms. In this paper, we investigate the space, time, and energy efficiency of SpMV using various compressed…

Data Structures and Algorithms · Computer Science 2024-09-30 Francesco Tosoni , Philip Bille , Valerio Brunacci , Alessio De Angelis , Paolo Ferragina , Giovanni Manzini

Due to the huge difference in performance between the computer memory and processor, the virtual memory management plays a vital role in system performance. A Cache memory is the fast memory which is used to compensate the speed difference…

Performance · Computer Science 2011-07-26 Debabala Swain , Bijay Paikaray , Debabrata Swain

We consider space-saving versions of several important operations on univariate polynomials, namely power series inversion and division, division with remainder, multi-point evaluation, and interpolation. Now-classical results show that…

Symbolic Computation · Computer Science 2020-09-01 Pascal Giorgi , Bruno Grenet , Daniel S. Roche

Server consolidation based on virtualization technology simplifies system administration and improves energy efficiency by improving resource utilizations and reducing the physical machine (PM) number in contemporary service-oriented data…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-29 Bo Wang , Ying Song , Yuzhong Sun , Jun Liu