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Multimodal representation learning is fundamentally about transforming incomparable modalities into comparable representations. While prior research primarily focused on explicitly aligning these representations through targeted learning…

机器学习 · 计算机科学 2025-06-16 Megan Tjandrasuwita , Chanakya Ekbote , Liu Ziyin , Paul Pu Liang

In this paper, as a result of a theorem of Serre on congruence properties, a complete solution is given for an open question (see the text) presented recently by Kim, Koo and Park. Some further questions and results on similar types of…

数论 · 数学 2012-06-05 Derong Qiu

In this article, we study the invariant differential forms which a correspondence of curves admits. We also try to classify the correspondences of $\mathbb{P}^1$ that admits such invariant differential forms.

代数几何 · 数学 2012-03-07 Arnab Saha

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

计算机视觉与模式识别 · 计算机科学 2015-03-14 Joseph M. Burdis , Irina A. Kogan

In self-supervised representation learning, a common idea behind most of the state-of-the-art approaches is to enforce the robustness of the representations to predefined augmentations. A potential issue of this idea is the existence of…

机器学习 · 计算机科学 2021-08-26 Tianyu Hua , Wenxiao Wang , Zihui Xue , Sucheng Ren , Yue Wang , Hang Zhao

We address the problem of learning on sets of features, motivated by the need of performing pooling operations in long biological sequences of varying sizes, with long-range dependencies, and possibly few labeled data. To address this…

机器学习 · 计算机科学 2021-02-11 Grégoire Mialon , Dexiong Chen , Alexandre d'Aspremont , Julien Mairal

In a short article submitted to ArXiv [1], Maddamsetti et al. argue that the variation in the neutral mutation rate among genes in Escherichia coli that we recently reported [2] might be explained by horizontal gene transfer (HGT). To…

种群与进化 · 定量生物学 2012-11-08 Inigo Martincorena , Nicholas M. Luscombe

We represent preferences that exhibit absolute or relative attitudes towards ambiguity without assuming convexity of preferences. Our analysis is motivated by the recent experimental evidence by Baillon and Placido (2019) indicating that…

理论经济学 · 经济学 2024-07-02 Francesco Fabbri , Giulio Principi , Lorenzo Stanca

Shape preservation behavior of a spline consists of criterial conditions for preserving convexity, inflection, collinearity, torsion and coplanarity shapes of data polgonal arc. We present our results which acts as an improvement in the…

图形学 · 计算机科学 2009-09-29 Ravi Shankar Gautam

Unveil the homophilic/heterophilic behaviors that characterize the wiring patterns of complex networks is an important task in social network analysis, often approached studying the assortative mixing of node attributes. Recent works…

社会与信息网络 · 计算机科学 2020-12-10 Giulio Rossetti , Salvatore Citraro , Letizia Milli

We give a possible generalization to the example in the paper of Zanardi and Rasetti (quant-ph/9904011). For this generalized one explicit forms of adiabatic connection, curvature and etc. are given.

量子物理 · 物理学 2009-10-31 Kazuyuki Fujii

Conformal defects -- extended objects in conformal field theories -- carry localised excitations inherited from symmetry currents, known as the displacements and tilts. They capture the linear response of the defect to deformations of its…

高能物理 - 理论 · 物理学 2025-12-19 Nadav Drukker , Ziwen Kong , Petr Kravchuk

In biological and medical research, scientists now routinely acquire microscopy images of hundreds of morphologically heterogeneous organoids and are then faced with the task of finding patterns in the image collection, i.e., subsets of…

计算机视觉与模式识别 · 计算机科学 2024-03-21 Jannik Presberger , Rashmiparvathi Keshara , David Stein , Yung Hae Kim , Anne Grapin-Botton , Bjoern Andres

The following paper is a reproducibility report for "FDA: Fourier Domain Adaptation for Semantic Segmentation" published in the CVPR 2020 as part of the ML Reproducibility Challenge 2020. The original code was made available by the author.…

计算机视觉与模式识别 · 计算机科学 2021-05-03 Arnesh Kumar Issar , Kirtan Mali , Aryan Mehta , Karan Uppal , Saurabh Mishra , Debashish Chakravarty

We give a geometric approach to the relation between the irreducible components of the characteristic varieties of local systems on a plane curve arrangement complement and the associated pencils of plane curves discovered recently by M.…

代数几何 · 数学 2007-05-23 A. Dimca

Recognition in low quality face datasets is challenging because facial attributes are obscured and degraded. Advances in margin-based loss functions have resulted in enhanced discriminability of faces in the embedding space. Further,…

计算机视觉与模式识别 · 计算机科学 2023-02-17 Minchul Kim , Anil K. Jain , Xiaoming Liu

Akyol, M. A and \c{S}ahin, B. [Conformal semi-invariant submersions, Commun. Contemp. Math. 19, 1650011 (2017).] introduced the notion of conformal semi-invariant submersions from almost Hermitian manifolds. The present paper deal with the…

微分几何 · 数学 2018-05-23 Mehmet Akif Akyol

Recently, Wang et al. discussed the properties of fuzzy information systems under homomorphisms in the paper [C. Wang, D. Chen, L. Zhu, Homomorphisms between fuzzy information systems, Applied Mathematics Letters 22 (2009) 1045-1050], where…

人工智能 · 计算机科学 2011-11-08 Ping Zhu , Qiaoyan Wen

We propose a novel method to determine the dissimilarity between subjects for functional data clustering. Spline smoothing or interpolation is common to deal with data of such type. Instead of estimating the best-representing curve for each…

统计方法学 · 统计学 2021-03-23 ShengLi Tzeng , Christian Hennig , Yu-Fen Li , Chien-Ju Lin

To perform recognition, molecules must locate and specifically bind their targets within a noisy biochemical environment with many look-alikes. Molecular recognition processes, especially the induced-fit mechanism, are known to involve…

生物大分子 · 定量生物学 2010-07-27 Yonatan Savir , Tsvi Tlusty