Motivated by the pursuit of a systematic computational and algorithmic understanding of Generative Adversarial Networks (GANs), we present a simple yet unified non-asymptotic local convergence theory for smooth two-player games, which subsumes several discrete-time gradientbased saddle point dynamics. The analysis reveals the surprising nature of the off-diagonal interaction term as both a bles...

Scarab is a prototype rover for lunar missions to survey resources, particularly water ice, in polar craters. It is designed as a prospector that would use a deep coring drill and apply soil analysis instruments. Its chassis can transform to stabilize its drill in contact with the ground and can also adjust posture to ascend and descent steep slopes. Scarab has undergone field testing at lunar ...

This paper discusses the potential of graphics processing units (GPUs) in high-dimensional optimization problems. A single GPU card with hundreds of arithmetic cores can be inserted in a personal computer and dramatically accelerates many statistical algorithms. To exploit these devices fully, optimization algorithms should reduce to multiple parallel tasks, each accessing a limited amount of d...

The orienteering route choice problem involves finding the fastest route between two given points, with running speed determined by various properties of the terrain. In this study we consider only the effect of climbing or descent on running speed. If a runner’s pace p (the reciprocal of running speed) varies linearly with gradient m, the straight-line route is always fastest. This may be a re...

OBJECTIVE Patients with diabetes with peripheral neuropathy have a well-recognized increased risk of falls that may result in hospitalization. Therefore this study aimed to assess balance during the dynamic daily activities of walking on level ground and stair negotiation, where falls are most likely to occur. RESEARCH DESIGN AND METHODS Gait analysis during level walking and stair negotiatio...

Abstract In the summer (July and August) of 2022, unprecedented heat wave occurred along Yangtze River Valley (YRV) over East Asia while flood western South (WSA), which are located on eastern sides Tibetan Plateau (TP). Here, by analyzing interannual variability based observational reanalysis data, we show evidences that anomalous zonal flow subtropical (TP) explains a major fraction extreme e...

Loggers were attached to free-ranging Brünnich's guillemots Uria lomvia during dives, to measure swim speeds, body angles, stroke rates, stroke and glide durations, and acceleration patterns within strokes, and the data were used to model the mechanical costs of propelling the body fuselage (head and trunk excluding wings). During vertical dives to 102-135 m, guillemots regulated their speed du...

Many structured large-scale linear programming problems can be transformed into an equivalent problem of maximizing a piecewise linear, concave function subject to linear constraints. The equivalent problem can, in turn, be solved in a finite number of steps using a steepest ascent algorithm. This principle is applied to block diagonal systems yielding refinements of existing algorithms. An app...

The E∗ algorithm is a path planning method capable of dynamic replanning and userconfigurable path cost interpolation, it results in more appropriate paths during gradient descent. The underlying formulation is based on interpreting navigation functions as a sampled continuous crossing-time map that takes into account a risk measure. Replanning means that changes in the environment model can be...