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pro vyhledávání: '"Alilooee, Ali"'
In this paper, we introduce DetailCLIP: A Detail-Oriented CLIP to address the limitations of contrastive learning-based vision-language models, particularly CLIP, in handling detail-oriented and fine-grained tasks like segmentation. While CLIP and it
Externí odkaz:
http://arxiv.org/abs/2409.06809
Autor:
Alilooee, Ali, Banerjee, Arindam
The symbolic powers, in general, are not equal to the ordinary powers. Therefore, one interesting question here is for what classes of ideals ordinary and symbolic powers coincide? The answer to this question for squarefree monomial ideals may be pac
Externí odkaz:
http://arxiv.org/abs/1903.03573
Let $G$ be a finite simple graph and $I(G)$ denote the corresponding edge ideal. In this paper we prove that if $G$ is a unicyclic graph then for all $s \geq 1$ the regularity of $I(G)^s$ is exactly $2s+\text{reg}(I(G))-2$. We also characterize the u
Externí odkaz:
http://arxiv.org/abs/1702.00916
Publikováno v:
Journal of Algebraic Combinatorics, May (2018), Volume 47, Issue 3, pp. 441--472
We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutative algebra and polyhedral geometry. For instance, we show the $j$-mul
Externí odkaz:
http://arxiv.org/abs/1607.00733
Autor:
Alilooee, Ali, Banerjee, Arindam
In this paper we prove that if $I(G)$ is a bipartite edge ideal with regularity three then for all $s\geq 2$ the regularity of $I(G)^s$ is exactly $2s+1$.
Externí odkaz:
http://arxiv.org/abs/1408.2557
Autor:
Alilooee, Ali, Faridi, Sara
In 1995 Villarreal gave a combinatorial description of the equations of Rees algebras of quadratic squarefree monomial ideals. His description was based on the concept of closed even walks in a graph. In this paper we will generalize his results for
Externí odkaz:
http://arxiv.org/abs/1309.1771
Autor:
Alilooee, Ali, Faridi, Sara
We give a formula to compute all the top degree graded Betti numbers of the path ideal of a cycle. Also we will find a criterion to determine when Betti numbers of this ideal are non zero and give a formula to compute its projective dimension and reg
Externí odkaz:
http://arxiv.org/abs/1305.1651
Autor:
Alilooee, Ali, Faridi, Sara
We use purely combinatorial arguments to give a formula to compute all graded Betti numbers of path ideals of line graphs and cycles. As a consequence we can give new and short proofs for the known formulas of regularity and projective dimensions of
Externí odkaz:
http://arxiv.org/abs/1110.6653
Autor:
ALILOOEE, ALI, BANERJEE, ARINDAM
Publikováno v:
Journal of Commutative Algebra, 2017 Dec 01. 9(4), 441-454.
Externí odkaz:
https://www.jstor.org/stable/26392817
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