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In stochastic computing (SC), a real-valued number is represented by a stochastic bit stream, encoding its value in the probability of obtaining a one. This leads to a significantly lower hardware effort for various functions and provides a…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Michael Lunglmayr , Daniel Wiesinger , Werner Haselmayr

Any system that is used for naming or representing numbers is a number system, also known as numeral system. The modern civilization is familiar with decimal number system using ten digits. However digital devices and computers use binary…

Discrete Mathematics · Computer Science 2011-07-11 Shahid Latif , Rahat Ullah , Hamid Jan

There is a growing interest in the use of reduced-precision arithmetic, exacerbated by the recent interest in artificial intelligence, especially with deep learning. Most architectures already provide reduced-precision capabilities (e.g.,…

Hardware Architecture · Computer Science 2022-12-09 Olivier Sentieys , Daniel Menard

In many important applications -- such as search engines and relational database systems -- data is stored in the form of arrays of integers. Encoding and, most importantly, decoding of these arrays consumes considerable CPU time.…

Information Retrieval · Computer Science 2021-02-02 Daniel Lemire , Leonid Boytsov

Conversion between binary and decimal floating-point representations is ubiquitous. Floating-point radix conversion means converting both the exponent and the mantissa. We develop an atomic operation for FP radix conversion with simple…

Mathematical Software · Computer Science 2014-07-21 O. Kupriianova , Ch. Lauter , J. -M. Muller

Finite-precision arithmetic computations face an inherent tradeoff between accuracy and efficiency. The points in this tradeoff space are determined, among other factors, by different data types but also evaluation orders. To put it simply,…

Programming Languages · Computer Science 2017-07-10 Eva Darulova , Einar Horn , Saksham Sharma

Dynamic program slicing can significantly reduce the code developers need to inspect by narrowing it down to only a subset of relevant program statements. However, despite an extensive body of research showing its usefulness, dynamic…

Software Engineering · Computer Science 2022-01-04 Bogdan Alexandru Stoica , Swarup K. Sahoo , James R. Larus , Vikram S. Adve

An investigation of the comparative efficiency of the different methods in which {\pi} is cal- culated. This thesis will compare and contrast five different methods in calculating {\pi} by first deriving the various proofs to each method…

Classical Analysis and ODEs · Mathematics 2013-10-22 Nouri Al-Othman

We present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximation with correction techniques, we achieve 3.8 times faster…

Statistical Mechanics · Physics 2019-02-07 Hiroshi Watanabe , Satoshi Morita , Synge Todo , Naoki Kawashima

Bit-flipping (BF) decoding of low-density parity-check codes is of low complexity but gives inferior performance in general. To improve performance and provide new BF decoder options for complexity-performance tradeoffs, we propose new…

Information Theory · Computer Science 2015-09-01 Tofar C. -Y. Chang , Yu T. Su

System-generated logs are typically converted into categorical log templates through parsing. These templates are crucial for generating actionable insights in various downstream tasks. However, existing parsers often fail to capture…

Computation and Language · Computer Science 2025-06-03 Prerak Srivastava , Giulio Corallo , Sergey Rybalko

String matching is the problem of finding all the substrings of a text which match a given pattern. It is one of the most investigated problems in computer science, mainly due to its very diverse applications in several fields. Recently,…

Data Structures and Algorithms · Computer Science 2017-07-04 Domenico Cantone , Simone Faro , Arianna Pavone

The number of IoT devices is expected to continue its dramatic growth in the coming years and, with it, a growth in the amount of data to be transmitted, processed and stored. Compression techniques that support analytics directly on the…

Data Structures and Algorithms · Computer Science 2023-08-29 Francesco Taurone , Daniel E. Lucani , Marcell Fehér , Qi Zhang

We developed an algorithm that easily goes from one odd number to the next odd number in binary representation for the reduced forward Collatz map (Syracuse function). The algorithm indicates when an odd number can grow or shrink to the…

General Mathematics · Mathematics 2023-01-19 Richard Kaufman

Modern cyber-physical systems, such as automotive control, rely on feedback controllers that regulate the system towards desired a setpoint. In practice, however, the controller must also be scheduled efficiently on resource-constrained…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Debarpita Banerjee , Debasmita Lohar , Sumana Ghosh

Dynamic and polymorphic languages attach information, such as types, to run time objects, and therefore adapt the memory layout of values to include space for this information. This makes it difficult to efficiently implement IEEE754…

Programming Languages · Computer Science 2025-10-13 Olivier Melançon , Manuel Serrano , Marc Feeley

This paper presents the analysis of the impact of a floating-point number precision reduction on the quality of text classification. The precision reduction of the vectors representing the data (e.g. TF-IDF representation in our case)…

Computation and Language · Computer Science 2017-06-21 Krzysztof Wróbel , Maciej Wielgosz , Marcin Pietroń , Michał Karwatowski , Aleksander Smywiński-Pohl

Stochastic computing (SC) is a high density, low-power computation technique which encodes values as unary bitstreams instead of binary-encoded (BE) values. Practical SC implementations require deterministic or pseudo-random number…

Emerging Technologies · Computer Science 2019-02-28 Vincent T. Lee , Samuel Archibald Elliot , Armin Alaghi , Luis Ceze

While Deep Neural Networks (DNNs) push the state-of-the-art in many machine learning applications, they often require millions of expensive floating-point operations for each input classification. This computation overhead limits the…

Neural and Evolutionary Computing · Computer Science 2017-05-12 Hokchhay Tann , Soheil Hashemi , Iris Bahar , Sherief Reda

Conventional hardware-friendly quantization methods, such as fixed-point or integer, tend to perform poorly at very low word sizes as their shrinking dynamic ranges cannot adequately capture the wide data distributions commonly seen in…

Machine Learning · Computer Science 2020-02-12 Thierry Tambe , En-Yu Yang , Zishen Wan , Yuntian Deng , Vijay Janapa Reddi , Alexander Rush , David Brooks , Gu-Yeon Wei