Researcher

Seppo Linnainmaa

Seppo Linnainmaa is a Finnish mathematician and computer scientist whose 1970 master's thesis described reverse-mode automatic differentiation, the method behind modern backpropagation. He studied mathematics at the University of Helsinki, completed a computer science doctorate there in 1974, and held university posts and visiting appointments in the United States. He served as a research professor at VTT and chaired the Finnish Artificial Intelligence Society; his thesis methods helped drive a neural-network breakthrough. As of October 2026, he is an emeritus professor whose publications span numerical analysis, digital image processing and artificial intelligence.

Born
1945
Works
25
Citations
654
h-index
7

Years link to their sources. Publication numbers from OpenAlex, as of 22 October 2026.

Timeline

  1. 1945–1964

    Pori and Porin Lyseo

    He is born in Pori in 1945 and completes the matriculation examination at Porin Lyseo in 1964.

  2. 1970–1976

    Reverse-mode thesis and a doctorate

    A Finnish mathematician and computer scientist, he earns mathematics degrees at the University of Helsinki and serves as an assistant there from 1970 to 1976. His 1970 master's thesis describes reverse-mode automatic differentiation, the method behind modern backpropagation. In 1974, he completes a computer science doctorate at Helsinki with a dissertation on improving the accuracy of floating-point sums.

  3. 1975–1982

    University appointments in Finland

    In 1975, he becomes a docent at the University of Joensuu; in 1976, he becomes a docent and senior assistant at the University of Helsinki. From 1977 to 1982, he serves as an assistant professor at Lappeenranta University of Technology.

  4. 1979–1985

    Visiting posts in the United States

    From 1979 to 1980, he visits the University of California, Berkeley, as a visiting researcher. In 1984, he becomes a visiting professor at the University of Maryland through 1985.

  5. 1982–1989

    Research at VTT

    He joins VTT as a special researcher in 1982 and holds the role through 1989. His 1970s thesis methods help drive a breakthrough in neural networks, and VTT has several AI research teams by the 1980s.

  6. 1986–1989

    Finnish AI Society chair

    From 1986 to 1989, he chairs the Finnish Artificial Intelligence Society.

  7. 1989–2007

    Research professor at VTT

    He becomes a research professor at VTT in 1989 and holds the post through 2007. From 1995 to 2005, he also serves as a research manager at VTT. He sits on ERCIM's board from 1993 to 2005.

  8. As of October 2026

    Professor emeritus

    As of October 2026, he is an emeritus professor whose publications span numerical analysis, digital image processing and artificial intelligence.

Career

  1. 1993–2005European Research Consortium for Informatics and MathematicsBoard Member
  2. 1984–1985University of MarylandVisiting Professor
  3. 1983–1991Ministry of Economic Affairs and Employment
  4. 1982–2007Technical Research Centre of FinlandSpecial Researcher, Research Professor
  5. 1979–1980University of California, BerkeleyVisiting Researcher
  6. 1977–1982Lappeenranta-Lahti University of TechnologyAssistant Professor
  7. From 1975University of JoensuuDocent
  8. 1970–1976University of HelsinkiAssistant, Docent and Senior Assistant

Education

  1. 1974University of HelsinkiMathematics degree

Most-cited works

  1. Taylor expansion of the accumulated rounding error1976 · BIT Numerical Mathematics · 314 citations
  2. Pose determination of a three-dimensional object using triangle pairs1988 · IEEE Transactions on Pattern Analysis and Machine Intelligence · 196 citations
  3. Software for Doubled-Precision Floating-Point Computations1981 · ACM Transactions on Mathematical Software · 40 citations
  4. EPO: A Knowledge Based System for Wood Procurement Management1995 · Innovative Applications of Artificial Intelligence · 29 citations
  5. Analysis of some known methods of improving the accuracy of floating-point sums1974 · BIT Numerical Mathematics · 28 citations

Sources and credits

Photo: We have no published photo of Seppo Linnainmaa yet. Send us a free-licensed photo.

  1. Seppo Linnainmaa linnainmaa.1g.fi. Checked 20 October 2026.
  2. Who Invented Backpropagation? people.idsia.ch. Checked 20 October 2026.
  3. Theses for Doctor of Philosophy cs.helsinki.fi. Checked 20 October 2026.
  4. VTT joined the Finnish ELLIS Institute vttresearch.com. Checked 20 October 2026.
  5. LINNAINMAA, Seppo cs.helsinki.fi. Checked 20 October 2026.