There are many design factors and choices when mounting a vision system for robot control. Such factors may include the kinematic and dynamic characteristics in the robot’s degrees of freedom (DOF), which determine at what velocities and fields-of-view a camera can achieve. Another factor is that additional motion components (such as pan-tilt units) are often mounted on a robot and introduce sy...

The degrees of freedom (DoF) concept is very useful for studying the multi-user communications system at high signal-to-noise ratio region. The research on DoF leads to an important technology advancement in wireless communications, the interference alignment. The idea of interference alignment is to design the transmit signals structurally such that the interference signals from multiple inter...

∗Thanks to audiences at Tufts University, the University of Kentucky, and the University of Toronto for helpful comments and questions. Special thanks to Benj Hellie and Jonathan McCoy for detailed feedback on previous versions, and to Robert Axtell, whose suggestion that reductions in degrees of freedom play a role in the physically unproblematic emergence of complex systems (made during the 2...

Degrees of freedom (DOF) refer to the number of free parameters in a model that need to be independently controlled for generating intended output. In this paper, we discuss how DOF is a critical issue not only for computational modeling, but also for theoretical understanding of prosody. The relevance of DOF is examined from the perspective of the motor control of articulatory movements, the a...

We consider a wireless network with fading and a single source-destination pair. The information reaches the destination through a sequence of layers of relays. A nonseparation based strategy is proposed which achieves a rate equal to the capacity of a point-to-point multiantenna system [1, 2], in the high SNR limit. Our result can also be thought of as an extension of [1, 2] for wireless netwo...

In this paper, we explore degrees of freedom in deep sigmoidal neural networks. We show that the degrees of freedom in these models are related to the expected optimism, which is the expected difference between test error and training error. We provide an efficient Monte-Carlo method to estimate the degrees of freedom for multi-class classification methods. We show that the degrees of freedom i...

We review recent results, obtained with P. Fendley, on frustration of quantum charges in lattice models for itinerant fermions with strong repulsive interactions. A judicious tuning of kinetic and interaction terms leads to models possessing supersymmetry. In such models frustration takes the form of what we call superfrustration: an extensive degeneracy of supersymmetric ground states. We pres...

Ever since Hobbes we have sought to explain such extraordinarily commonplace facts as that prudent people trust each other, keep promises and succeed by and large at coordinating so as not to collide in corridors and roadways. In fact, it is the success which meets our efforts to coordinate without communication so as not to collide in corridors, which is perhaps the most perplexing of all soci...

ABSTRACT We present a formalism for evaluating the degrees of freedom (d.o.f.) in the communication with electromagnetic waves. We show that, although in principle there are an infinity of d.o.f., the effective number is finite. This is in agreement with the restricted classical theories. We further show that the best transmitting functions are the solutions of a specific eigenvalue equation. T...

Multiple input multiple output (MIMO) systems have assumed great importance in recent times because of their remarkably higher capacity compared to single input single output (SISO) systems. One of the most celebrated results in this context is that the capacity of a point-to-point MIMO system withM inputs andN outputs increases linearly as min(M;N) at high SNR. For power and bandwidth limited ...