Knowledge (XXG)

Seppo Linnainmaa

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to the building blocks of the function. Linnainmaa published it first, following Gerardi Ostrowski who had used it in the context of certain process models in chemical engineering some five years earlier, but didn't publish.
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The representation of the cumulative rounding error of an algorithm as a Taylor expansion of the local rounding errors
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in his MSc thesis. In 1974 he obtained the first doctorate ever awarded in computer science at the
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Algoritmin kumulatiivinen pyöristysvirhe yksittäisten pyöristysvirheiden Taylor-kehitelmänä
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in arbitrary, discrete, possibly sparsely connected,
212:"Who Invented the Reverse Mode of Differentiation?" 8: 345:Academic staff of the University of Helsinki 16:Finnish mathematician and computer scientist 205: 203: 89:(AD), in order to efficiently compute the 238: 236: 150: 148: 146: 33:known for creating the modern version of 219:Documenta Matematica, Extra Volume ISMP 117: 7: 172:(Thesis) (in Finnish). pp. 6–7. 14: 104:, by recursively applying the 22:(born 28 September 1945) is a 1: 340:University of Helsinki alumni 282:Who Invented Backpropagation? 100:that can be represented as a 63:VTT Technical Research Centre 350:Machine learning researchers 280:JĂĽrgen Schmidhuber, (2015). 127:Suomen professorit 1640–2007 125:Ellonen, Leena, ed. (2008). 335:Finnish computer scientists 366: 210:Griewank, Andreas (2012). 77:Explicit, efficient error 248:BIT Numerical Mathematics 87:automatic differentiation 51:automatic differentiation 20:Seppo Ilmari Linnainmaa 330:Finnish mathematicians 69:. He retired in 2007. 59:University of Maryland 55:University of Helsinki 221:. pp. 389–400. 260:10.1007/BF01931367 98:composite function 31:computer scientist 244:Linnainmaa, Seppo 156:Linnainmaa, Seppo 136:978-952-99281-1-8 357: 325:People from Pori 296:Seppo Linnainmaa 284: 278: 272: 271: 240: 231: 230: 216: 207: 198: 197: 195: 194: 180: 174: 173: 171: 152: 141: 140: 122: 365: 364: 360: 359: 358: 356: 355: 354: 305: 304: 292: 287: 279: 275: 242: 241: 234: 214: 209: 208: 201: 192: 190: 182: 181: 177: 169: 154: 153: 144: 137: 124: 123: 119: 115: 83:neural networks 79:backpropagation 75: 73:Backpropagation 45:He was born in 43: 35:backpropagation 17: 12: 11: 5: 363: 361: 353: 352: 347: 342: 337: 332: 327: 322: 317: 307: 306: 303: 302: 291: 290:External links 288: 286: 285: 273: 254:(2): 146–160. 232: 199: 175: 142: 135: 116: 114: 111: 95:differentiable 74: 71: 42: 39: 15: 13: 10: 9: 6: 4: 3: 2: 362: 351: 348: 346: 343: 341: 338: 336: 333: 331: 328: 326: 323: 321: 318: 316: 315:Living people 313: 312: 310: 301: 297: 294: 293: 289: 283: 277: 274: 269: 265: 261: 257: 253: 249: 245: 239: 237: 233: 228: 224: 220: 213: 206: 204: 200: 189: 188:OnThisDay.com 185: 179: 176: 167: 163: 162: 157: 151: 149: 147: 143: 138: 132: 128: 121: 118: 112: 110: 107: 103: 99: 96: 92: 88: 84: 80: 72: 70: 68: 64: 60: 56: 52: 48: 40: 38: 36: 32: 28: 27:mathematician 25: 21: 276: 251: 247: 243: 218: 191:. Retrieved 187: 178: 165: 160: 155: 126: 120: 76: 44: 19: 18: 320:1945 births 309:Categories 193:2024-04-06 106:chain rule 91:derivative 268:122357351 41:Biography 300:LinkedIn 227:15568746 158:(1970). 67:Finland 24:Finnish 266:  225:  168:] 133:  264:S2CID 223:S2CID 215:(PDF) 170:(PDF) 164:[ 113:Notes 102:graph 93:of a 131:ISBN 47:Pori 29:and 298:on 256:doi 65:of 311:: 262:. 252:16 250:. 235:^ 217:. 202:^ 186:. 145:^ 37:. 270:. 258:: 229:. 196:. 139:.

Index

Finnish
mathematician
computer scientist
backpropagation
Pori
automatic differentiation
University of Helsinki
University of Maryland
VTT Technical Research Centre
Finland
backpropagation
neural networks
automatic differentiation
derivative
differentiable
composite function
graph
chain rule
ISBN
978-952-99281-1-8



Linnainmaa, Seppo
Algoritmin kumulatiivinen pyöristysvirhe yksittäisten pyöristysvirheiden Taylor-kehitelmänä
"Seppo Linnainmaa (Mathematician and Computer Scientist)"


"Who Invented the Reverse Mode of Differentiation?"
S2CID

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