Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Czapliński, Adam"'
Autor:
Gandikota, Kanchana Vaishnavi, Geiping, Jonas, Lähner, Zorah, Czapliński, Adam, Moeller, Michael
Many applications require robustness, or ideally invariance, of neural networks to certain transformations of input data. Most commonly, this requirement is addressed by training data augmentation, using adversarial training, or defining network arch
Externí odkaz:
http://arxiv.org/abs/2209.11916
We observe that general reducible curves in sufficiently positive linear systems on K3 surfaces are of a form that generalises Kodaira's classification of singular elliptic fibres and thus call them extended ADE curves. On such a curve $C$, we descri
Externí odkaz:
http://arxiv.org/abs/2206.11686
We are concerned with the eigenstructure of supersymmetric tensors. Like in the matrix case, normalized tensor eigenvectors are fixed points of the tensor power iteration map. However, unless the given tensor is orthogonally decomposable, some of the
Externí odkaz:
http://arxiv.org/abs/2203.01865
Autor:
Gandikota, Kanchana Vaishnavi, Geiping, Jonas, Lähner, Zorah, Czapliński, Adam, Moeller, Michael
Many applications require the robustness, or ideally the invariance, of a neural network to certain transformations of input data. Most commonly, this requirement is addressed by either augmenting the training data, using adversarial training, or def
Externí odkaz:
http://arxiv.org/abs/2106.10044
Publikováno v:
In Advances in Applied Mathematics July 2023 148
Publikováno v:
Collect. Math. 72 (2021), Issue 1, pp. 87-107
We find a semi-algebraic description of the Minkowski sum $\mathcal{A}_{3,n}$ of $n$ copies of the bounded twisted cubic $\{(t,t^2,t^3)\mid -1\leq t\leq 1\}$ for each integer $n\geq3$. These descriptions provide efficient membership tests for the set
Externí odkaz:
http://arxiv.org/abs/1905.05983
We apply methods from algebraic geometry to study uniform matrix product states. Our main results concern the topology of the locus of tensors expressed as uMPS, their defining equations and identifiability. By an interplay of theorems from algebra,
Externí odkaz:
http://arxiv.org/abs/1904.07563
Publikováno v:
In Advances in Applied Mathematics January 2023 142
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Czapliński, Adam, Pokora, Piotr
Publikováno v:
Phenomenological Approach to Algebraic Geometry Banach Center Volume 116: 63 -- 76 (2018)
In this paper we study the concept of characteristic numbers and Chern slopes in the context of curve configurations in the real and complex projective plane. We show that some extremal line configurations inherit the same asymptotic invariants, name
Externí odkaz:
http://arxiv.org/abs/1511.03879