#neuraltangentkernel search results

#NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760

TheGregYang's tweet image. #NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760
TheGregYang's tweet image. #NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760

Is deeper always better? Nope. For a ground truth of a fixed complexity, there seems to be an optimal depth beyond which deeper is always worse. This optimal depth generally increases with complexity #NeuralTangentKernel #NTK #NNGP arxiv.org/abs/1907.10599

TheGregYang's tweet image. Is deeper always better? Nope. For a ground truth of a fixed complexity, there seems to be an optimal depth beyond which deeper is always worse. This optimal depth generally increases with complexity #NeuralTangentKernel #NTK #NNGP arxiv.org/abs/1907.10599

Did you know? The #NeuralTangentKernel, as an integral operator over the Boolean cube, is diagonalized by the the Boolean Fourier basis -- the set of 2^d monomials. Same for Conjugate Kernel, aka NNGP kernel. Compute eigenvalues: github.com/thegregyang/NN… arxiv.org/abs/1907.10599

TheGregYang's tweet image. Did you know? The #NeuralTangentKernel, as an integral operator over the Boolean cube, is diagonalized by the the Boolean Fourier basis -- the set of 2^d monomials. Same for Conjugate Kernel, aka NNGP kernel.
Compute eigenvalues: github.com/thegregyang/NN…
arxiv.org/abs/1907.10599

How does #NeuralTangentKernel compare with the Conjugate Kernel (aka NNGP)? ie Is training all layers always better than just the last? Diagonalize #NTK, CK in closed form & find: #NTK is better for complex features but #CK is better for simpler ones. arxiv.org/abs/1907.10599

TheGregYang's tweet image. How does #NeuralTangentKernel compare with the Conjugate Kernel (aka NNGP)? ie Is training all layers always better than just the last? Diagonalize #NTK, CK in closed form & find: #NTK is better for complex features but #CK is better for simpler ones.
arxiv.org/abs/1907.10599

The #ICLR2022 paper of @ZCODE0 Shaofeng @Dai_Zh Beng Chin @bryanklow proposes training-free #NeuralArchitectureSearch based on #NeuralTangentKernel. Paper: openreview.net/forum?id=v-v1c…


PINNACLE 🏔️, which is based on #PINNs #NeuralTangentKernel, jointly optimizes the selection of different training points via #ActiveLearning. We theoretically show that PINNACLE 🏔️ can reduce generalization loss. #ICLR2024 @iclr_conf #AI4Science #PDEs (2/n)


We'll give an oral presentation on PINNACLE 🏔️ at @icmlconf #ICML2024 Workshop on AI for Science, which is based on #PINNs #NeuralTangentKernel to jointly optimize the selection of different training points via #ActiveLearning (26 Jul, ai4sciencecommunity.github.io/icml24.html)! #AI4Science #PDEs


To boost scalability, we devise FreeShap, a fine-tuning-free approximation of #ShapleyValue which amortizes the fine-tuning cost using kernel regression on the precomputed #NeuralTangentKernel. We demonstrate FreeShap on #DataSelection #DataDeletion & wrong label detection. (2/n)


For our #ICLR2022 paper on training-free #NeuralArchitectureSearch based on #NeuralTangentKernel, do visit us during the poster session on April 26 @ 5:30pm-7:30pm PST. Check us out @ iclr.cc/virtual/2022/p…

The #ICLR2022 paper of @ZCODE0 Shaofeng @Dai_Zh Beng Chin @bryanklow proposes training-free #NeuralArchitectureSearch based on #NeuralTangentKernel. Paper: openreview.net/forum?id=v-v1c…



We'll give an oral presentation on PINNACLE 🏔️ at @icmlconf #ICML2024 Workshop on AI for Science, which is based on #PINNs #NeuralTangentKernel to jointly optimize the selection of different training points via #ActiveLearning (26 Jul, ai4sciencecommunity.github.io/icml24.html)! #AI4Science #PDEs


To boost scalability, we devise FreeShap, a fine-tuning-free approximation of #ShapleyValue which amortizes the fine-tuning cost using kernel regression on the precomputed #NeuralTangentKernel. We demonstrate FreeShap on #DataSelection #DataDeletion & wrong label detection. (2/n)


PINNACLE 🏔️, which is based on #PINNs #NeuralTangentKernel, jointly optimizes the selection of different training points via #ActiveLearning. We theoretically show that PINNACLE 🏔️ can reduce generalization loss. #ICLR2024 @iclr_conf #AI4Science #PDEs (2/n)


For our #ICLR2022 paper on training-free #NeuralArchitectureSearch based on #NeuralTangentKernel, do visit us during the poster session on April 26 @ 5:30pm-7:30pm PST. Check us out @ iclr.cc/virtual/2022/p…

The #ICLR2022 paper of @ZCODE0 Shaofeng @Dai_Zh Beng Chin @bryanklow proposes training-free #NeuralArchitectureSearch based on #NeuralTangentKernel. Paper: openreview.net/forum?id=v-v1c…



The #ICLR2022 paper of @ZCODE0 Shaofeng @Dai_Zh Beng Chin @bryanklow proposes training-free #NeuralArchitectureSearch based on #NeuralTangentKernel. Paper: openreview.net/forum?id=v-v1c…


#NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760

TheGregYang's tweet image. #NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760
TheGregYang's tweet image. #NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760

Is deeper always better? Nope. For a ground truth of a fixed complexity, there seems to be an optimal depth beyond which deeper is always worse. This optimal depth generally increases with complexity #NeuralTangentKernel #NTK #NNGP arxiv.org/abs/1907.10599

TheGregYang's tweet image. Is deeper always better? Nope. For a ground truth of a fixed complexity, there seems to be an optimal depth beyond which deeper is always worse. This optimal depth generally increases with complexity #NeuralTangentKernel #NTK #NNGP arxiv.org/abs/1907.10599

Did you know? The #NeuralTangentKernel, as an integral operator over the Boolean cube, is diagonalized by the the Boolean Fourier basis -- the set of 2^d monomials. Same for Conjugate Kernel, aka NNGP kernel. Compute eigenvalues: github.com/thegregyang/NN… arxiv.org/abs/1907.10599

TheGregYang's tweet image. Did you know? The #NeuralTangentKernel, as an integral operator over the Boolean cube, is diagonalized by the the Boolean Fourier basis -- the set of 2^d monomials. Same for Conjugate Kernel, aka NNGP kernel.
Compute eigenvalues: github.com/thegregyang/NN…
arxiv.org/abs/1907.10599

How does #NeuralTangentKernel compare with the Conjugate Kernel (aka NNGP)? ie Is training all layers always better than just the last? Diagonalize #NTK, CK in closed form & find: #NTK is better for complex features but #CK is better for simpler ones. arxiv.org/abs/1907.10599

TheGregYang's tweet image. How does #NeuralTangentKernel compare with the Conjugate Kernel (aka NNGP)? ie Is training all layers always better than just the last? Diagonalize #NTK, CK in closed form & find: #NTK is better for complex features but #CK is better for simpler ones.
arxiv.org/abs/1907.10599

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The #ICLR2022 paper of @ZCODE0 Shaofeng @Dai_Zh Beng Chin @bryanklow proposes training-free #NeuralArchitectureSearch based on #NeuralTangentKernel. Paper: openreview.net/forum?id=v-v1c…


Is deeper always better? Nope. For a ground truth of a fixed complexity, there seems to be an optimal depth beyond which deeper is always worse. This optimal depth generally increases with complexity #NeuralTangentKernel #NTK #NNGP arxiv.org/abs/1907.10599

TheGregYang's tweet image. Is deeper always better? Nope. For a ground truth of a fixed complexity, there seems to be an optimal depth beyond which deeper is always worse. This optimal depth generally increases with complexity #NeuralTangentKernel #NTK #NNGP arxiv.org/abs/1907.10599

#NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760

TheGregYang's tweet image. #NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760
TheGregYang's tweet image. #NeuralTangentKernel gives the evol of inf-width NN; what about finite width? Introducing *#NeuralTangentHierarchy* of higher order tensors arxiv.org/abs/1909.08156: each lvl corrects the finite-width error of the prv lvl. Compute ‘em by tensor programs arxiv.org/abs/1902.04760

How does #NeuralTangentKernel compare with the Conjugate Kernel (aka NNGP)? ie Is training all layers always better than just the last? Diagonalize #NTK, CK in closed form & find: #NTK is better for complex features but #CK is better for simpler ones. arxiv.org/abs/1907.10599

TheGregYang's tweet image. How does #NeuralTangentKernel compare with the Conjugate Kernel (aka NNGP)? ie Is training all layers always better than just the last? Diagonalize #NTK, CK in closed form & find: #NTK is better for complex features but #CK is better for simpler ones.
arxiv.org/abs/1907.10599

Did you know? The #NeuralTangentKernel, as an integral operator over the Boolean cube, is diagonalized by the the Boolean Fourier basis -- the set of 2^d monomials. Same for Conjugate Kernel, aka NNGP kernel. Compute eigenvalues: github.com/thegregyang/NN… arxiv.org/abs/1907.10599

TheGregYang's tweet image. Did you know? The #NeuralTangentKernel, as an integral operator over the Boolean cube, is diagonalized by the the Boolean Fourier basis -- the set of 2^d monomials. Same for Conjugate Kernel, aka NNGP kernel.
Compute eigenvalues: github.com/thegregyang/NN…
arxiv.org/abs/1907.10599

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