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We study the geometry of Receiver Operating Characteristic (ROC) and Precision-Recall (PR) curves in binary classification problems. The key finding is that many of the most commonly used binary classification metrics are merely functions…

机器学习 · 计算机科学 2026-04-15 Reza Sameni

Mobile robots require comprehensive scene understanding to operate effectively in diverse environments, enriched with contextual information such as layouts, objects, and their relationships. Although advances like neural radiation fields…

机器人学 · 计算机科学 2024-12-30 Jiawei Hou , Wenhao Guan , Longfei Liang , Jianfeng Feng , Xiangyang Xue , Taiping Zeng

Optimal prefix codes are studied for pairs of independent, integer-valued symbols emitted by a source with a geometric probability distribution of parameter $q$, $0{<}q{<}1$. By encoding pairs of symbols, it is possible to reduce the…

信息论 · 计算机科学 2013-01-08 Frédérique Bassino , Julien Clément , Gadiel Seroussi , Alfredo Viola

In this paper, we address the semantic segmentation problem with a focus on the context aggregation strategy. Our motivation is that the label of a pixel is the category of the object that the pixel belongs to. We present a simple yet…

计算机视觉与模式识别 · 计算机科学 2021-05-03 Yuhui Yuan , Xiaokang Chen , Xilin Chen , Jingdong Wang

Top-down instance segmentation framework has shown its superiority in object detection compared to the bottom-up framework. While it is efficient in addressing over-segmentation, top-down instance segmentation suffers from over-crop…

计算机视觉与模式识别 · 计算机科学 2022-11-04 Qilong Zhangli , Jingru Yi , Di Liu , Xiaoxiao He , Zhaoyang Xia , Qi Chang , Ligong Han , Yunhe Gao , Song Wen , Haiming Tang , He Wang , Mu Zhou , Dimitris Metaxas

Mathematical notation makes up a large portion of STEM literature, yet finding semantic representations for formulae remains a challenging problem. Because mathematical notation is precise, and its meaning changes significantly with small…

计算与语言 · 计算机科学 2023-09-06 Neeraj Gangwar , Nickvash Kani

The phase retrieval problem in the classical setting is to reconstruct real/complex functions from the magnitudes of their Fourier/frame measurements. In this paper, we consider a new phase retrieval paradigm in the…

泛函分析 · 数学 2019-09-06 Yang Chen , Cheng Cheng , Qiyu Sun

Fascinating and puzzling phenomena, such as landmark vector cells, splitter cells, and event-specific representations to name a few, are regularly discovered in the hippocampus. Without a unifying principle that can explain these divergent…

神经元与认知 · 定量生物学 2022-12-06 Rajkumar Vasudeva Raju , J. Swaroop Guntupalli , Guangyao Zhou , Miguel Lázaro-Gredilla , Dileep George

In previous works [physics/0204035, physics/0404052, physics/0509126] a procedure was described for dividing the $3 \times N$-dimensional conformational space of a molecular system into a number of discrete cells, this partition allowed the…

计算物理 · 物理学 2008-12-14 Jacques Gabarro-Arpa

Retrieving fine-grained visual content based on user intent remains a challenge in multi-modal systems. Although current Composed Image Retrieval (CIR) methods combine reference images with retrieval texts, they are constrained to…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Tong Wang , Guanyu Yang , Nian Liu , Zongyan Han , Jinxing Zhou , Salman Khan , Fahad Shahbaz Khan

Forman-Ricci curvature (FRC) is a potent and powerful tool for analysing empirical networks, as the distribution of the curvature values can identify structural information that is not readily detected by other geometrical methods.…

数据分析、统计与概率 · 物理学 2024-05-13 Danillo Barros de Souza , Jonatas T. S. da Cunha , Fernando A. N. Santos , Jürgen Jost , Serafim Rodrigues

The primate visual system has an exquisite ability to discriminate partially occluded shapes. Recent electrophysiological recordings suggest that response dynamics in intermediate visual cortical area V4, shaped by feedback from prefrontal…

神经元与认知 · 定量生物学 2016-12-19 Hannah Choi , Anitha Pasupathy , Eric Shea-Brown

This paper seeks to combine dictionary learning and hierarchical image representation in a principled way. To make dictionary atoms capturing additional information from extended receptive fields and attain improved descriptive capacity, we…

计算机视觉与模式识别 · 计算机科学 2019-11-11 Tong Zhang , Fatih Porikli

Probability distribution modeling is the basis for most competitive methods for lossless coding of screen content. One such state-of-the-art method is known as soft context formation (SCF). For each pixel to be encoded, a probability…

图像与视频处理 · 电气工程与系统科学 2022-12-05 Hannah Och , Tilo Strutz , André Kaup

We seek to semantically describe a set of images, capturing both the attributes of single images and the variations within the set. Our procedure is analogous to Principle Component Analysis, in which the role of projection vectors is…

计算机视觉与模式识别 · 计算机科学 2022-10-24 Oded Hupert , Idan Schwartz , Lior Wolf

The boundaries of central place models proved to be fractal lines, which compose fractal texture of central place networks. A textural fractal can be employed to explain the scale-free property of regional boundaries such as border lines,…

物理与社会 · 物理学 2020-03-12 Yanguang Chen

Physical systems are frequently modeled as sets of points in space, each representing the position of an atom, molecule, or mesoscale particle. As many properties of such systems depend on the underlying ordering of their constituent…

其他凝聚态物理 · 物理学 2015-11-18 Emanuel A. Lazar , Jian Han , David J. Srolovitz

Hierarchy is a natural representation of semantic taxonomies, including the ones routinely used in image segmentation. Indeed, recent work on semantic segmentation reports improved accuracy from supervised training leveraging hierarchical…

计算机视觉与模式识别 · 计算机科学 2024-04-16 Simon Weber , Barış Zöngür , Nikita Araslanov , Daniel Cremers

Compositional representations of the world are a promising step towards enabling high-level scene understanding and efficient transfer to downstream tasks. Learning such representations for complex scenes and tasks remains an open…

计算机视觉与模式识别 · 计算机科学 2023-05-02 Matthew Wallingford , Aditya Kusupati , Alex Fang , Vivek Ramanujan , Aniruddha Kembhavi , Roozbeh Mottaghi , Ali Farhadi

Phase retrieval refers to algorithmic methods for recovering a signal from its phaseless measurements. Local search algorithms that work directly on the non-convex formulation of the problem have been very popular recently. Due to the…

信息论 · 计算机科学 2020-03-06 Rishabh Dudeja , Milad Bakhshizadeh , Junjie Ma , Arian Maleki