### Visual Attention in Deep Learning

In the RAM, the image and location coordinate will be sent into glimpse sensor to generate ... In the previous computer vision problem, the spacial invariant is a important property. The following ima...

### Automated shape-based clustering of 3D immunoglobulin protein structures in chronic lymphocytic leukemia

The global features are invariant to the deformations of the 3D object ... However, hereby it is not used to compare the actual 3D coordinates of the atoms, but instead the high-dimensional coordinate...

### Fundamentals of numerical relativity for gravitational wave sources

and the challenge is to separate the physical waves from various coordinate effects. In the weak-field limit, we can define gravitational waves as small perturbations around a background metric, and a ...

### Trend: Taking the wraps off cloaking

They describe the phenomena of classical optics and it has long been known that their form is invariant under coordinate transformations. For example, if the equations are written using a Cartesian sy...

### Topological Data Analysis: Extracting Meaning From Big Data

our coordinate systems). It shows you properties that do not change when translations, scaling, and other minor modifications are applied. The properties of shapes in TDA are set to be deformation inv...

### Pluto on the Eve of Exploration by New Horizons: A problem of cartography

with the coordinate system overlaid and defined. Note that the caption as written (taken from the NASA website) would allow for the positive pole to be called the south pole if it points toward the so...

### Learning to Coordinate in Deep Learning Multi-Agent Systems

Presently, most research on learning to communicate tends to employ message passing rather than a coordinate request/response or a ... variables are ignored in training or the notion of invariant feat...

### Wrap Your Mind Around Neural Networks

It works only when you know the coordinates for the starting point and target ... be sure to check out my articles on invariant representations. The actual output of a layer is not known exactly becau...

### Scientists find a new way to see inside black holes

van der Marel (STScI) Scientists at Towson University and the Johns Hopkins University are reporting a new way to peer through the ... the internal structure of spinning black holes. Current approache...

### Topology looks for the patterns inside big data

Topologists study spaces by assigning algebraic objects called invariants to them ... each 3-by-3 patch then corresponds to a point in a 9-dimensional space, each coordinate giving the numerical value ...

### Will Robots Steal Your Job?

Computers are pervasive in science ... When they fed their software the motion-capture coordinates of a swinging double pendulum, the machine pondered the data for a couple days, then spat out the Ham...

### Experimenting With Generative Capsule Networks

Although CapsNets in our experiments didn’t show capabilities of learning invariants, they might be a better starting ... addresses of neurons on the feature maps correspond to their coordinates, gene...

### What does it mean for a vector to remain invariant under ...

What does it mean for a vector to remain "invariant" under coordinate transformation? I think I already know the answer to this question in a foggy, intuitive way, but I'd like a really clear explanation, if someone has it.

### Invariant (mathematics) - Wikipedia

In mathematics, an invariant is a property, held by a class of mathematical objects, which remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually indicated by the context in which the term is used. For example, the area of a triangle is an invariant with respect to isometries of the Euclidean ...

### Invariant theory - Wikipedia

Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions.Classically, the theory dealt with the question of explicit description of polynomial functions that do not change, or are invariant, under the transformations from a given linear group.

### VLFeat - Documentation > C API

SIFT descriptors are computed by either calling vl_sift_calc_keypoint_descriptor or vl_sift_calc_raw_descriptor.They accept as input a keypoint frame, which specifies the descriptor center, its size, and its orientation on the image plane.

### Homogeneous Coordinates - Song Ho

In Euclidean space (geometry), two parallel lines on the same plane cannot intersect, or cannot meet each other forever. It is a common sense that everyone is familiar with.

### Spacetime Geometry Inside a Black Hole - Jim Haldenwang

Spacetime Geometry Inside a Black Hole. by Jim Haldenwang written Nov. 12, 2004 revised July 30, 2012. This paper describes the nature of spacetime in and around black holes.

### VLFeat - Tutorials > SIFT detector and descriptor

The Scale-Invariant Feature Transform (SIFT) bundles a feature detector and a feature descriptor. The detector extracts from an image a number of frames (attributed regions) in a way which is consistent with (some) variations of the illumination, viewpoint and other viewing conditions.

### Math Dictionary

License. The materials (math glossary) on this web site are legally licensed to all schools and students in the following states only: Hawaii

### C++ Core Guidelines - GitHub Pages

The C++ Core Guidelines are a set of tried-and-true guidelines, rules, and best practices about coding in C++

#### Ask Ethan #103: Have We Solved The Black Hole Information Paradox? (Synopsis) - ScienceBlogs

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#### Upcoming Events - UChicago News

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