DOI: 10.1016/0893-6080(89)90014-2. Neural networks and principal component analysis: Learning from examples without local minima

Neural networks and principal component analysis: Learning from examples without local minima

10.1016/0893-6080(89)90014-2

Crossref journal-article

Elsevier BV

Neural Networks (78)

Bibliography

Baldi, P., & Hornik, K. (1989). Neural networks and principal component analysis: Learning from examples without local minima. Neural Networks, 2(1), 53â58.

Authors 2

Pierre Baldi (first)
Kurt Hornik (additional)

References 16 Referenced 894

10.1207/s15516709cog0901_7 / Cognitive Science / A learning algorithm for Boltzmann machines by Ackley (1985)
{'key': '10.1016/0893-6080(89)90014-2_BIB2', 'series-title': 'An introduction to numerical analysis', 'author': 'Atkinson', 'year': '1978'} / An introduction to numerical analysis by Atkinson (1978)
10.1007/BF00332918 / Biological Cybernetics / Auto-association by multilayer perceptrons and singular value decomposition by Bourlard (1988)
Cottrell, G. W., Munro, P. W., & Zipser, D. (in press). Image compression by back propagation: A demonstration of extensional programming. In N. E. Sharkey (Ed.), Advances in cognitive science (Vol. 2). Norwood, NJ: Abbex.
{'key': '10.1016/0893-6080(89)90014-2_BIB5', 'article-title': 'Learning the hidden structure of speech', 'author': 'Ellman', 'year': '1987'} / Learning the hidden structure of speech by Ellman (1987)
10.1016/0893-6080(88)90021-4 / Neural Networks / Nonlinear neural networks: Principles, mechanisms and architectures by Grossberg (1988)
{'key': '10.1016/0893-6080(89)90014-2_BIB7', 'series-title': 'Multivariate analysis', 'author': 'Kshirsagar', 'year': '1972'} / Multivariate analysis by Kshirsagar (1972)
{'key': '10.1016/0893-6080(89)90014-2_BIB8', 'first-page': '7508', 'article-title': 'From basic network principles to neural architecture: Emergence of spatial opponent cells', 'volume': '83', 'author': 'Linsker', 'year': '1986'} / From basic network principles to neural architecture: Emergence of spatial opponent cells by Linsker (1986)
{'key': '10.1016/0893-6080(89)90014-2_BIB9', 'first-page': '8390', 'article-title': 'From basic network principles to neural architecture: Emergence of orientation selective cells', 'volume': '83', 'author': 'Linsker', 'year': '1986'} / From basic network principles to neural architecture: Emergence of orientation selective cells by Linsker (1986)
{'key': '10.1016/0893-6080(89)90014-2_BIB10', 'first-page': '8779', 'article-title': 'From basic network principle to neural architecture: Emergence of orientation columns', 'volume': '83', 'author': 'Linsker', 'year': '1986'} / From basic network principle to neural architecture: Emergence of orientation columns by Linsker (1986)
{'key': '10.1016/0893-6080(89)90014-2_BIB11', 'first-page': '4', 'article-title': 'An introduction to computing with neural nets', 'author': 'Lippman', 'year': '1987', 'journal-title': 'IEEE Transactions on Acoustics, Speech, and Signal Processing Magazine'} / IEEE Transactions on Acoustics, Speech, and Signal Processing Magazine / An introduction to computing with neural nets by Lippman (1987)
10.1017/S0266466600011476 / Econometric Theory / Symmetry, 0–1 matrices and Jacobians by Magnus (1986)
10.1007/BF00275687 / Journal of Mathematical Biology / A simplified neuron model as a principal component analyzer by Oja (1982)
{'key': '10.1016/0893-6080(89)90014-2_BIB14', 'series-title': 'The algebra of econometrics', 'author': 'Pollock', 'year': '1979'} / The algebra of econometrics by Pollock (1979)
{'key': '10.1016/0893-6080(89)90014-2_BIB15', 'volume': 'Vols. 1 & 2', 'author': 'Rumelhart', 'year': '1986'} by Rumelhart (1986)
{'key': '10.1016/0893-6080(89)90014-2_BIB16', 'series-title': 'Explorations in the microstructure of cognition', 'first-page': '318', 'article-title': 'Learning internal representation by error propagaton. In Parallel distributed processing', 'author': 'Rumelhart', 'year': '1986'} / Explorations in the microstructure of cognition / Learning internal representation by error propagaton. In Parallel distributed processing by Rumelhart (1986)

Dates

Type	When
Created	22 years, 4 months ago (April 24, 2003, 9:05 p.m.)
Deposited	6 years, 5 months ago (March 22, 2019, 10:58 a.m.)
Indexed	23 hours, 13 minutes ago (Aug. 30, 2025, 12:58 p.m.)
Issued	36 years, 7 months ago (Jan. 1, 1989)
Published	36 years, 7 months ago (Jan. 1, 1989)
Published Print	36 years, 7 months ago (Jan. 1, 1989)

Funders 0

None

BibTeX

@article{Baldi_1989, title={Neural networks and principal component analysis: Learning from examples without local minima}, volume={2}, ISSN={0893-6080}, url={http://dx.doi.org/10.1016/0893-6080(89)90014-2}, DOI={10.1016/0893-6080(89)90014-2}, number={1}, journal={Neural Networks}, publisher={Elsevier BV}, author={Baldi, Pierre and Hornik, Kurt}, year={1989}, month=jan, pages={53–58} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        30
      ]
    ],
    "date-time": "2025-08-30T16:58:34Z",
    "timestamp": 1756573114552
  },
  "reference-count": 16,
  "publisher": "Elsevier BV",
  "issue": "1",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1989,
            1,
            1
          ]
        ],
        "date-time": "1989-01-01T00:00:00Z",
        "timestamp": 599616000000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.elsevier.com/tdm/userlicense/1.0/"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1989,
        1
      ]
    ]
  },
  "DOI": "10.1016/0893-6080(89)90014-2",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2003,
        4,
        25
      ]
    ],
    "date-time": "2003-04-25T01:05:53Z",
    "timestamp": 1051232753000
  },
  "page": "53-58",
  "source": "Crossref",
  "is-referenced-by-count": 894,
  "title": "Neural networks and principal component analysis: Learning from examples without local minima",
  "prefix": "10.1016",
  "volume": "2",
  "author": [
    {
      "given": "Pierre",
      "family": "Baldi",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Kurt",
      "family": "Hornik",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "78",
  "reference": [
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB1",
      "doi-asserted-by": "crossref",
      "first-page": "147",
      "DOI": "10.1207/s15516709cog0901_7",
      "article-title": "A learning algorithm for Boltzmann machines",
      "volume": "9",
      "author": "Ackley",
      "year": "1985",
      "journal-title": "Cognitive Science"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB2",
      "series-title": "An introduction to numerical analysis",
      "author": "Atkinson",
      "year": "1978"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB3",
      "doi-asserted-by": "crossref",
      "first-page": "291",
      "DOI": "10.1007/BF00332918",
      "article-title": "Auto-association by multilayer perceptrons and singular value decomposition",
      "volume": "59",
      "author": "Bourlard",
      "year": "1988",
      "journal-title": "Biological Cybernetics"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB4",
      "unstructured": "Cottrell, G. W., Munro, P. W., & Zipser, D. (in press). Image compression by back propagation: A demonstration of extensional programming. In N. E. Sharkey (Ed.), Advances in cognitive science (Vol. 2). Norwood, NJ: Abbex."
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB5",
      "article-title": "Learning the hidden structure of speech",
      "author": "Ellman",
      "year": "1987"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB6",
      "doi-asserted-by": "crossref",
      "first-page": "17",
      "DOI": "10.1016/0893-6080(88)90021-4",
      "article-title": "Nonlinear neural networks: Principles, mechanisms and architectures",
      "volume": "1",
      "author": "Grossberg",
      "year": "1988",
      "journal-title": "Neural Networks"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB7",
      "series-title": "Multivariate analysis",
      "author": "Kshirsagar",
      "year": "1972"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB8",
      "first-page": "7508",
      "article-title": "From basic network principles to neural architecture: Emergence of spatial opponent cells",
      "volume": "83",
      "author": "Linsker",
      "year": "1986"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB9",
      "first-page": "8390",
      "article-title": "From basic network principles to neural architecture: Emergence of orientation selective cells",
      "volume": "83",
      "author": "Linsker",
      "year": "1986"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB10",
      "first-page": "8779",
      "article-title": "From basic network principle to neural architecture: Emergence of orientation columns",
      "volume": "83",
      "author": "Linsker",
      "year": "1986"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB11",
      "first-page": "4",
      "article-title": "An introduction to computing with neural nets",
      "author": "Lippman",
      "year": "1987",
      "journal-title": "IEEE Transactions on Acoustics, Speech, and Signal Processing Magazine"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB12",
      "doi-asserted-by": "crossref",
      "first-page": "157",
      "DOI": "10.1017/S0266466600011476",
      "article-title": "Symmetry, 0\u20131 matrices and Jacobians",
      "volume": "2",
      "author": "Magnus",
      "year": "1986",
      "journal-title": "Econometric Theory"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB13",
      "doi-asserted-by": "crossref",
      "first-page": "267",
      "DOI": "10.1007/BF00275687",
      "article-title": "A simplified neuron model as a principal component analyzer",
      "volume": "15",
      "author": "Oja",
      "year": "1982",
      "journal-title": "Journal of Mathematical Biology"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB14",
      "series-title": "The algebra of econometrics",
      "author": "Pollock",
      "year": "1979"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB15",
      "volume": "Vols. 1 & 2",
      "author": "Rumelhart",
      "year": "1986"
    },
    {
      "key": "10.1016/0893-6080(89)90014-2_BIB16",
      "series-title": "Explorations in the microstructure of cognition",
      "first-page": "318",
      "article-title": "Learning internal representation by error propagaton. In Parallel distributed processing",
      "author": "Rumelhart",
      "year": "1986"
    }
  ],
  "container-title": "Neural Networks",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.elsevier.com/content/article/PII:0893608089900142?httpAccept=text/xml",
      "content-type": "text/xml",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://api.elsevier.com/content/article/PII:0893608089900142?httpAccept=text/plain",
      "content-type": "text/plain",
      "content-version": "vor",
      "intended-application": "text-mining"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        3,
        22
      ]
    ],
    "date-time": "2019-03-22T14:58:03Z",
    "timestamp": 1553266683000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://linkinghub.elsevier.com/retrieve/pii/0893608089900142"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1989,
        1
      ]
    ]
  },
  "references-count": 16,
  "journal-issue": {
    "issue": "1",
    "published-print": {
      "date-parts": [
        [
          1989,
          1
        ]
      ]
    }
  },
  "alternative-id": [
    "0893608089900142"
  ],
  "URL": "http://dx.doi.org/10.1016/0893-6080(89)90014-2",
  "relation": {},
  "ISSN": [
    "0893-6080"
  ],
  "subject": [],
  "container-title-short": "Neural Networks",
  "published": {
    "date-parts": [
      [
        1989,
        1
      ]
    ]
  }
}