Hubbry Logo
Jacob ZivJacob ZivMain
Open search
Jacob Ziv
Community hub
Jacob Ziv
logo
8 pages, 0 posts
0 subscribers
Be the first to start a discussion here.
Be the first to start a discussion here.
Jacob Ziv
Jacob Ziv
Jacob Ziv
View on Wikipedia
from Wikipedia

Jacob Ziv (Hebrew: יעקב זיו; 27 November 1931 – 25 March 2023) was an Israeli electrical engineer and information theorist who developed the LZ family of lossless data compression algorithms alongside Abraham Lempel. He is also a namesake of the Ziv–Zakai bound in estimation theory, with Moshe Zakai.

Key Information

Biography

[edit]

Born in Tiberias, British mandate of Palestine, on 27 November 1931, Ziv received his B.Sc., Dip. Eng. (1954) and M.Sc. degrees (1957) in electrical engineering from the Technion – Israel Institute of Technology, and his D.Sc. degree, receiving the degree from the Massachusetts Institute of Technology in 1962.[1] In 1970, Ziv joined the Technion – Israel Institute of Technology and was the Herman Gross Professor of Electrical Engineering and a Technion Distinguished Professor.[2]

Ziv was dean of the Faculty of Electrical Engineering from 1974 to 1976 and vice president for Academic Affairs from 1978 to 1982.[2] From 1987, Ziv had spent three sabbatical leaves at the Information Research Department of Bell Laboratories in Murray Hill, New Jersey.[3]

From 1955 to 1959, he served as a senior research engineer for the Scientific Department of the Israel Ministry of Defense, focused on research and development of communication systems.[2] While studying for his doctorate at M.I.T. from 1961 to 1962, he joined the Applied Science Division of Melpar, Inc. in Watertown, Massachusetts, where he was a senior research engineer performing research in communication theory.[2] In 1962 he returned to the Israel Ministry of Defense's scientific department, as head of the Communications Division and was also a contributor to the Faculty of Electrical Engineering, Technion – Israel Institute of Technology.[2] From 1968 to 1970 he was one of the technical staff members of Bell Laboratories, Inc., and, from 1985 to 1991, was the chairman of the Israeli Universities Planning and Grants Committee.[3] He was also a member of the Israel Academy of Sciences and Humanities from 1981 to his death, and he served as its president between 1995 and 2004.[3]

Ziv died on 25 March 2023, at age 91.[4][5]

Awards

[edit]

In 1993, Ziv was awarded the Israel Prize, for exact sciences.[6] Ziv received in 1995 the IEEE Richard W. Hamming Medal, for "contributions to information theory, and the theory and practice of data compression",[7] and in 1998 a Golden Jubilee Award for Technological Innovation from the IEEE Information Theory Society.[8]

Ziv is the recipient of the 1997 Claude E. Shannon Award from the IEEE Information Theory Society[9] and the 2008 BBVA Foundation Frontiers of Knowledge Award in the category of Information and Communication Technologies.[10] In 2021, Ziv has been awarded the IEEE Medal of Honor, the highest recognition from IEEE, "for fundamental contributions to information theory and data compression technology, and for distinguished research leadership".[11]

Ziv was elected to the American Philosophical Society in 2003[12] and the National Academy of Sciences in 2004.[13]

See also

[edit]

Lectures

[edit]

References

[edit]
[edit]
Revisions and contributorsEdit on WikipediaRead on Wikipedia

Jacob Ziv

View on Grokipedia
from Grokipedia
Jacob Ziv (November 27, 1931 – March 25, 2023) was an Israeli electrical engineer and computer scientist best known for co-developing the Lempel–Ziv (LZ) family of lossless data compression algorithms with Abraham Lempel, which revolutionized digital data storage and transmission by enabling efficient compression without loss of information. Born in , (now ), on the shores of the , Ziv was the younger of two sons to Ben Tzion and Hannah Ziv. He earned his B.Sc. and M.Sc. degrees in electrical engineering from the in 1954 and 1957, respectively, followed by a Ph.D. (Sc.D.) in electrical engineering from the in 1962, focusing on communication and . Ziv's career began as a research engineer at the Israeli Ministry of Defense from 1955 to 1959, where he advanced to head of the Communications Division by 1962. He then worked as a senior research engineer at Melpar, Inc., in the United States from 1961 to 1962, before returning to a role at the Ministry until 1968. In 1968, he joined Bell Telephone Laboratories as a member of the technical staff, conducting research in information theory until 1970. That year, he returned to the Technion as the Herman Gross Professor of Electrical Engineering, a position he held until his retirement, while also serving in key administrative roles such as dean of the Faculty of Electrical Engineering (1974–1976), vice president for academic affairs (1978–1982), and president of the Israel National Academy of Sciences and Humanities (1996–2005). Ziv's most influential work came during his sabbatical at Bell Labs in 1977, when he collaborated with Lempel, a colleague from the Technion, to develop the LZ77 algorithm, published as "A Universal Algorithm for Sequential Data Compression" in the IEEE Transactions on Information Theory. This algorithm introduced a dictionary-based method for compressing sequential data by referencing repeated patterns, achieving near-optimal compression ratios asymptotically. The following year, they refined the approach with LZ78 in "Compression of Individual Sequences via Variable-Rate Coding," which used a more adaptive dictionary construction and formed the basis for variants like LZW employed in formats such as GIF, PNG, and ZIP files. These algorithms, collectively known as Lempel–Ziv compression, underpin much of modern lossless data compression and earned an IEEE Milestone in 2004 for their foundational impact. Beyond compression, Ziv contributed to the Wyner–Ziv theorem on source coding with side information at the decoder, advancing distributed video coding techniques. Throughout his career, Ziv received numerous accolades for his pioneering contributions to and data compression, including the 1995 Marconi Prize, election to the U.S. as an international member in 2004, and the prestigious IEEE in 2021—the highest award from the IEEE—for "pioneering the theory of universal lossless source coding and its application to data compression." He was also an IEEE Life Fellow and held honorary doctorates from several institutions. Ziv passed away in , , at the age of 91, shortly after the death of his longtime collaborator Lempel.

Early Life and Education

Upbringing in Palestine

Jacob Ziv was born on November 27, 1931, in , in the British Mandate of (now ), to Jewish immigrant parents from . He was the younger of two sons of Ben Tzion Ziv, an educator who served as principal of an elementary school in , and Hannah Ziv. At the age of three, Ziv's family relocated from to the Tel Aviv suburb of , where his father became the principal of the town's first school, named after him. This move within exposed the young Ziv to the region's growing Jewish communities and the tensions preceding statehood. Ziv's formative years coincided with the escalating conflicts in the region, culminating in the 1948 Arab-Israeli War, known in Israel as the War of Independence. At age 16, following the war's outbreak, he was conscripted into the Israel Defense Forces (IDF). This period of mandatory service amid the war's challenges shaped his early experiences in the newly forming state. Ziv completed his high school education at Herzliya Gymnasium in . Following this, he transitioned to higher education at the in .

Academic Training

Jacob Ziv began his formal academic training at the in , where he pursued studies in . He earned his B.Sc. degree in 1954, followed by an M.Sc. degree in 1957. In 1960, Ziv traveled to the to advance his education at the (MIT) in . There, he completed a D.Sc. degree—equivalent to a Ph.D.—in in 1962. Influenced by prominent figures in such as and Jack Wozencraft, Ziv's doctoral dissertation centered on , exploring fundamental problems in error-correcting codes and communication systems. During his time at MIT, Ziv was profoundly influenced by the pioneering work in , particularly that of , whose foundational ideas on and shaped the department's curriculum and research environment. This exposure, combined with coursework under influential faculty like and Jack Wozencraft, equipped Ziv with the theoretical tools essential for his subsequent contributions to data compression and universal coding.

Professional Career

Early Positions

Following his bachelor's degree from the Technion in 1954, Jacob Ziv began his professional career as a research engineer in the Scientific Department of the Ministry of Defense, where he served from 1955 to 1959. In this role, he focused on the research and development of communication and radar systems, applying his expertise to defense-related technologies during a period of challenges in the newly established state of . While pursuing his PhD at MIT from 1959 to 1962, Ziv worked part-time as a senior research engineer at Melpar, Inc., in , from 1961 to 1962. After completing his PhD at MIT in 1962, Ziv returned to the Ministry of Defense, taking on the position of head of the Communications Division in the Scientific Department from 1962 to 1968. Here, he led efforts in advancing protocols essential for military operations, balancing intensive practical demands with his growing interest in theoretical aspects of . This period solidified his foundation in applied while highlighting the limitations of defense work for deeper academic pursuits. In 1968, Ziv joined Bell Laboratories in , as a member of the technical staff until 1970. During this time, he collaborated with leading figures in on foundational projects that bridged practical communications engineering with emerging theoretical frameworks, marking a pivotal shift toward research-oriented endeavors.

Technion Roles

In 1970, Jacob Ziv joined the as the Herman Gross Professor of in the Department of , and was later appointed a . His academic career at the Technion spanned over five decades, marked by a commitment to both research and institutional leadership within the Andrew and Erna Viterbi Faculty of Electrical and Computer Engineering. Ziv assumed significant administrative roles early in his tenure, serving as Dean of the Faculty of from 1974 to 1976 and as for Academic Affairs from 1978 to 1982. These positions allowed him to shape the department's curriculum and research priorities, fostering advancements in electrical engineering and information sciences at the institution. Throughout his career, Ziv maintained close ties to industry through leaves at Bell Laboratories, including periods from 1977–1978, 1983–1984, and 1991–1992, where he pursued collaborative research on and . As an educator, Ziv contributed extensively to teaching courses on and , emphasizing practical applications and theoretical foundations that influenced generations of engineers. He was renowned for his mentorship of Ph.D. students, providing guidance that propelled many into prominent careers in academia and industry; notable among his collaborators was Abraham Lempel, with whom he developed key advancements during their time at the Technion. Ziv's dedication to student development extended beyond formal advising, as he served as a and advisor, contributing to the Technion's reputation as a hub for innovation in .

Research Contributions

Lempel–Ziv Algorithms

Jacob Ziv collaborated with Abraham Lempel, a fellow professor at the , to develop a family of lossless compression algorithms that revolutionized digital storage and transmission. Their partnership began in the mid-1970s at the Technion's Department of , where theoretical insights into evolved into practical tools for encoding redundant efficiently. These algorithms, known as Lempel–Ziv (LZ) methods, form the foundation of many modern compression standards by exploiting patterns in sequential without probabilistic assumptions. The LZ77 algorithm, introduced in 1977, employs a sliding window approach for lossless compression by referencing substrings from previously encoded text. It maintains a search buffer of recently processed data (typically 4–32 KB) and a lookahead buffer for upcoming symbols, treating the search buffer as an implicit dictionary of prior substrings. The core mechanism scans the lookahead for the longest matching substring starting from the current position in the search buffer, encoding matches as a pair (distance, length) where distance indicates the backward offset from the current position and length specifies the match size; any non-matching next symbol is output literally. This dictionary-based encoding reduces output size by avoiding repetition, with the window sliding forward after each match. To illustrate LZ77's process, consider compressing the string "ABABABA" with a small window size for clarity (in practice, windows are larger):
  1. Start at position 1 ('A'): No prior data, output literal 'A'. Window advances.
  2. Position 2 ('B'): No match, output literal 'B'. Window: "AB".
  3. Position 3 ('A'): Matches 'A' at distance 2, 1; output (2,1). Next 'B' is literal. Window advances to "ABA B".
  4. Position 5 ('A'): Matches "ABA" at 4, 3; output (4,3). End of string.
The compressed output consists of literals and (distance, length) triples, achieving redundancy avoidance by pointer references. This method's efficiency stems from its universal applicability to any stationary source, approaching the entropy rate asymptotically. Building on LZ77, the LZ78 algorithm, published in 1978, shifts to a static, incrementally growing dictionary for compression, parsing the input into non-overlapping phrases that are either dictionary references or new entries. The dictionary begins empty (or preloaded with single symbols in some implementations) and expands by appending the longest recognized prefix of the current phrase with the next unseen symbol, outputting the index of the prefix followed by the new symbol. This incremental codebook growth ensures no redundancy, as each new phrase is unique and added only once, with codes assigned in order of discovery. A detailed example of LZ78 on the sequence "ABABBABA" (starting with empty dictionary, indices from 1) proceeds as follows:
  • Position 1 'A': Longest prefix empty (0), output (0, 'A'); add "A" as 1. Advance to 'B'.
  • Position 2 'B': Empty (0), output (0, 'B'); add "B" as 2. Advance to 'A'.
  • Position 3 'A': "A..." matches 1, output 1; next 'B', add "AB" as 3. Advance to 'B' (position 5).
  • Position 5 'B': "BA..." matches "B"=2, output 2; next 'A', add "BA" as 4. Advance to 'B' (position 7).
  • Position 7 'B': "BA" matches 4, output 4; next 'A', add "BAA"? Wait, next is end? String "A B A B B A B A", positions 1A 2B 3A 4B 5B 6A 7B 8A After position 5 'B' (5th char 'B'), prefix "B"=2, next pos6 'A', add "BA"=4, advance to pos7 'B'. Pos7 'B': "BA" (7B 8A), matches "BA"=4, output 4; next symbol after would be end, but since length 2 reaches end, output 4, no add. For end, if no next symbol, just output the prefix index.
The compressed output is (0,A)(0,B)(1,B)(2,A)(4), with dictionary growing to include "A","B","AB","BA". This process avoids redundancy by building a complete set of encountered phrases, enabling decoding via synchronized dictionary reconstruction. Ziv and Lempel's algorithms were patented, with LZ78 covered under U.S. Patent 4,464,650, facilitating commercial adoption. LZ77 forms the basis for the algorithm, which combines it with and is used in ZIP archives and images for efficient file and graphics compression. LZ78 inspired the (LZW) variant, implemented in images and Unix's compress utility, while their principles indirectly underpin standards like PDF's FlateDecode (DEFLATE-based) and MP3's layered compression for audio data reduction. These evolutions from theoretical papers to widespread tools highlight the algorithms' enduring practicality in handling diverse data types.

Information Theory Advances

Jacob Ziv made significant contributions to , particularly in the development of lower bounds for errors and extensions to fundamental probabilistic properties. In collaboration with Moshe Zakai, Ziv introduced the Ziv–Zakai bound in 1969, providing a tight lower bound on the error probability in Bayesian parameter problems. This bound addresses limitations of earlier local bounds like the by incorporating prior distributions and global error characteristics, making it particularly useful for low scenarios. The bound is expressed as Pe≥∫−∞∞max⁡(12,Q(d(θ,θ+δ)2σ))f(δ) dδ,P_e \geq \int_{-\infty}^{\infty} \max\left( \frac{1}{2}, Q\left( \frac{d(\theta, \theta + \delta)}{2\sigma} \right) \right) f(\delta) \, d\delta, where PeP_e is the error probability, Q(⋅)Q(\cdot) is the Gaussian Q-function, d(θ,θ+δ)d(\theta, \theta + \delta) represents the metric distance between parameter values, σ\sigma is the noise standard deviation, and f(δ)f(\delta) is the prior density of the parameter difference δ\delta. Applications of the Ziv–Zakai bound include signal detection and time-delay estimation in radar and communication systems, where it predicts performance thresholds more accurately than asymptotic approximations. Ziv also co-developed the Wyner–Ziv theorem in 1976 with Aaron D. Wyner, establishing the rate-distortion function for lossy source coding with side information available only at the decoder. This result, known as Wyner–Ziv coding, provides the theoretical foundation for distributed video coding and enables efficient compression in scenarios where encoder and decoder have asymmetric information, such as wireless sensor networks. The theorem states that the rate-distortion limit is the same as if the side information were available at both encoder and decoder, under certain conditions. Beyond estimation bounds, Ziv advanced universal coding theory through his work on individual sequences, developing frameworks for source coding without prior knowledge of probability distributions. His 1978 paper on compression and complexity laid foundational ideas for universal source codes that achieve near-optimal performance for arbitrary data sequences. In sequential hypothesis testing, Ziv contributed methods for universal detection and of sequences, enabling robust decision-making in non-stationary environments without assuming specific statistical models. These approaches, exemplified in his 1985 work on universal prediction, extend classical hypothesis testing to individual data realizations. Ziv also extended the asymptotic equipartition property (AEP), providing necessary and sufficient conditions for its existence in finite-alphabet sources in 1968. This work generalized the AEP, a cornerstone of , to broader classes of processes, ensuring that typical sequences have probabilities close to 2−nH2^{-nH} asymptotically, where HH is the . His extensions facilitated deeper analysis of ergodic processes and their coding implications. Theoretically, Ziv's advancements bridged and by integrating individual-sequence perspectives into probabilistic bounds, influencing modern error analysis in , such as in robust parameter for neural networks. These contributions underscore the interplay between measures and under , with the Ziv–Zakai bound remaining a benchmark for global limits in tasks.

Awards and Honors

Major Prizes

In 1993, Jacob Ziv received the in Exact Sciences for his pioneering contributions to data compression and , recognizing his foundational work that revolutionized handling. This prestigious national award, Israel's highest honor in the sciences, underscored Ziv's impact on engineering and technology fields. In 1995, Ziv was awarded the for his contributions to the theory and practice of data compression. Also in 1995, Ziv received the IEEE Medal, honoring his advances in , particularly "for contributions to , and the and practice of compression." Named after the influential mathematician , this medal highlights exceptional achievements in information and communication sciences, affirming Ziv's role in bridging theoretical insights with practical applications in . In 1997, Ziv earned the Claude E. Shannon Award from the IEEE Information Theory Society, the society's highest accolade, for his transformative contributions to that advanced universal data compression techniques. This award, named after the father of , celebrates lifetime achievements in the field and positioned Ziv among elite researchers shaping modern communications. The BBVA Foundation Frontiers of Knowledge Award in Information and Communication Technologies followed in 2009, bestowed upon Ziv for his "pioneering work in lossless data compression, which is now universally used in the digital world." This international prize, often likened to a Nobel for its categories, emphasized the global ubiquity of Ziv's algorithms in everyday technologies like file archiving and web transmission. Ziv's crowning recognition came in 2021 with the , the organization's highest award, cited for "fundamental contributions to and compression ." Presented during the IEEE Vision, , and Challenges Summit and Honors Ceremony in May 2021, the medal's citation highlighted Ziv's leadership in fostering collaborative research communities. As the first Israeli recipient, this honor encapsulated his enduring influence on electrical and electronics engineering.

Academy Elections

Jacob Ziv was elected to the Israel Academy of Sciences and Humanities in 1981, recognizing his foundational contributions to and data compression. He later served as head of the academy's Sciences Section before ascending to the presidency in 1996, a position he held until 2004. During his tenure as president, Ziv played a pivotal role in shaping Israeli , advising the government on research priorities and funding allocations through the academy's advisory functions, which influenced national investments in scientific infrastructure and innovation. In 1998, Ziv was elected an International Honorary Member of the American Academy of Arts and Sciences. Ziv's international stature was further affirmed by his election as a Foreign Associate of the U.S. in 1988, honoring his engineering advancements in data compression algorithms. In 2003, he was elected to membership in the , one of the oldest learned societies in the United States, acknowledging his interdisciplinary impact on , physical sciences, and . The following year, in 2004, Ziv became a Foreign Associate of the U.S. , specifically in the Section on Computer and Information Sciences, reflecting his global influence in . Throughout his academy affiliations, Ziv contributed to committees focused on and broader scientific policy, including advisory roles in the U.S. ' Committee on Science, , , and , where he helped guide discussions on technological advancements and their societal implications. These elections and positions underscored Ziv's role as a bridge between Israeli and international scientific communities, amplifying his efforts to advance research funding and collaboration in information sciences.

Legacy

Technological Impact

The Lempel–Ziv (LZ) algorithms developed by Jacob Ziv and Abraham Lempel formed the foundational basis for several widely adopted data compression standards in digital storage and transmission. The LZW variant, an extension of LZ78, was incorporated into the Graphics Interchange Format (GIF) in 1987, enabling efficient lossless compression for web graphics and animations. Similarly, the ZIP file format, introduced in 1989 by Phil Katz, relies on DEFLATE, a combination of LZ77 sliding-window compression and Huffman coding, which became a cornerstone for archiving and distributing files across computing platforms. The Portable Network Graphics (PNG) format, standardized in 1996 as a patent-free alternative to GIF, employs DEFLATE for its compression, supporting high-quality image storage in web and print applications. DEFLATE itself was formalized as an Internet Engineering Task Force (IETF) standard in RFC 1951, influencing protocols like HTTP for compressed content delivery. These algorithms also exerted indirect influence on other media and document formats by providing lossless compression primitives that underpinned more specialized techniques. In PDF files, LZW and are used for compressing text, operators, and embedded images, allowing for compact yet faithful representation of documents in digital workflows. For audio, while employs perceptual coding with modified discrete cosine transform and Huffman entropy coding, the LZ principles contributed to the broader ecosystem of efficient data handling that enabled the development and proliferation of lossy formats like by establishing robust lossless foundations for hybrid systems. The widespread integration of LZ algorithms has profoundly reduced and transmission costs, facilitating the explosion of , usage, and applications. By achieving compression ratios often exceeding 2:1 without loss of , these methods have lowered hardware requirements and bandwidth needs, enabling scalable services and supporting the global data economy's growth. Ziv's collaborations, particularly with Lempel, extended beyond their initial LZ publications, as Lempel continued advancing compression research at the Technion and in industry roles, including establishing Hewlett-Packard's operations where LZ-derived techniques informed practical implementations. Their joint legacy endures in ongoing refinements to dictionary-based compression, influencing modern variants used in software like and .

Posthumous Recognition

Jacob Ziv passed away on March 25, 2023, in at the age of 91. Following his death, the Technion—where Ziv had served for over 50 years as a professor and administrator—issued a tribute highlighting his profound contributions to and his role as an alumnus and lifelong dedicated faculty member. The IEEE also honored him posthumously through a commemorative article in IEEE Spectrum, recognizing his pioneering work on data compression algorithms that transformed digital technologies worldwide. These tributes underscored the widespread admiration from academic and professional communities, with the Israel Academy of Sciences and Humanities, which Ziv had previously led as president, issuing a formal statement mourning the loss of a key architect of Israeli science. In October 2025, the Academy of Sciences and Humanities hosted a "Conference in Memory of Former Academy President Professor Jacob Ziv" on October 26 in , focusing on his scientific achievements in and his broader contributions to the State of ; the event featured presentations by leading scholars and was broadcast live to a global audience. Ziv's enduring legacy has been marked by institutional remembrances at the Technion, including an annual memorial event held on March 23, 2025, organized by the of Electrical and to celebrate his research impact. Post-2023 publications in data compression continue to reference his foundational Lempel–Ziv algorithms as seminal works, affirming their ongoing relevance in academic literature.

References

  1. https://www.nasonline.org/wp-content/uploads/2025/01/Ziv-Jacob.pdf
  2. https://spectrum.ieee.org/remembering-jacob-ziv
  3. https://minghsiehece.usc.edu/jacob-ziv/
  4. https://ieeexplore.ieee.org/document/1055714
  5. https://ieeexplore.ieee.org/document/1055934
  6. https://spectrum.ieee.org/from-winzips-to-cat-gifs-jacob-zivs-algorithms-have-powered-decades-of-compression
  7. https://www.haaretz.com/israel-news/tech-news/2021-01-31/ty-article/.premium/the-man-who-actually-made-the-world-a-better-place-with-data-compression/0000017f-dbba-d856-a37f-fffadf860000
  8. https://www.ynetnews.com/business/article/bj2k2g0x3
  9. https://ethw.org/Jacob_Ziv
  10. https://ethw.org/Oral-History:Jacob_Ziv
  11. https://www.amacad.org/person/jacob-ziv
  12. https://www.i-programmer.info/news/82-heritage/16183-jacob-ziv.html
  13. https://www.academy.ac.il/SystemFiles/19517.pdf
  14. https://www.technion.ac.il/en/blog/dist-prof-jacob-ziv-1931-2023/
  15. https://courses.cs.duke.edu/spring03/cps296.5/papers/ziv_lempel_1977_universal_algorithm.pdf
  16. https://www.maxgcoding.com/lossless-compression-lz77
  17. https://www.philippe-fournier-viger.com/spmf/lz78.pdf
  18. https://faculty.kfupm.edu.sa/ics/saquib/ICS202/Unit31_LZ78.pdf
  19. https://www.w3.org/Graphics/PNG/RFC-1951
  20. https://cs.stanford.edu/people/eroberts/cs181/projects/1999-00/software-patents/lzw.html
  21. https://ethw.org/Milestones:Lempel-Ziv_Data_Compression_Algorithm%2C_1977
  22. https://www.ese.wustl.edu/~nehorai/paper/Ziv-Zakai_Chapter_2024.pdf
  23. https://www.mit.edu/~6.454/www_fall_2001/kusuma/wynerziv.pdf
  24. https://arxiv.org/pdf/2406.02904
  25. https://www.sciencedirect.com/science/article/pii/S0019995868902829
  26. http://nae.edu/340340.aspx
  27. https://marconisociety.org/fellow-bio/jacob-ziv/
  28. https://corporate-awards.ieee.org/wp-content/uploads/hamming-rl.pdf
  29. https://ieeexplore.ieee.org/author/37267355900
  30. https://www.itsoc.org/honors/claude-e-shannon-award
  31. https://www.frontiersofknowledgeawards-fbbva.es/noticias/jacob-ziv-wins-the-bbva-foundation-frontiers-of-knowledge-award-in-information-and-communication-technologies/
  32. https://www.itsoc.org/news-events/recent-news/ziv-receives-frontiers-of-knowledge-award
  33. https://corporate-awards.ieee.org/recipient/jacob-ziv/
  34. https://ieeetv.ieee.org/ieee-vics-honors-ceremony-2021
  35. https://www.technion.ac.il/en/blog/ieee-medal-of-honor-to-technion-living-legend-dist-prof-ziv/
  36. https://www.academy.ac.il/Index2/Entry.aspx?nodeId=809&entryId=18193
  37. https://www.academy.ac.il/SystemFiles/20685.pdf
  38. https://www.ncbi.nlm.nih.gov/books/NBK230257/
  39. https://www.academy.ac.il/SystemFiles/23865.pdf
  40. https://www.itsoc.org/sites/default/files/2021-03/itNL0903.pdf
  41. https://www.nasonline.org/directory-entry/jacob-ziv-cx2y9j/
  42. https://www.cs.purdue.edu/homes/spa/papers/dcc06.pdf
  43. https://www.hanshq.net/zip.html
  44. http://www.libpng.org/pub/png/spec/1.2/PNG-Compression.html
  45. https://www.prepressure.com/pdf/basics/compression
  46. https://aish.com/everyone-has-benefitted-from-this-holocaust-survivors-inventions/
  47. https://ethw.org/History_of_Lossless_Data_Compression_Algorithms
  48. https://www.itsoc.org/news/jacob-ziv-pioneer-lossless-data-compression-passed-away
  49. https://www.academy.ac.il/News/NewsItem.aspx?nodeId=837&id=2518
  50. https://www.academy.ac.il/News/NewsItem.aspx?nodeId=837&id=3258
  51. https://ece.technion.ac.il/news/
Add your contribution
Related Hubs
User Avatar
No comments yet.