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Invertibility of Convolutional Generative Networks from Partial Measurements
In this work, we present new theoretical results on convolutional generative neural networks, in particular their invertibility (i.e., the recovery of input latent code given the network output). The study of network inversion problem is motivated by image inpainting and the mode collapse problem in training GAN. Network inversion is highly non-convex, and thus is typically computationally intractable and without optimality guarantees. However, we rigorously prove that, under some mild technical assumptions, the input of a two-layer convolutional generative network can be deduced from the network output efficiently using simple gradient descent. This new theoretical finding implies that the mapping from the low-dimensional latent space to the high-dimensional image space is bijective (i.e., one-to-one). In addition, the same conclusion holds even when the network output is only partially observed (i.e., with missing pixels). Our theorems hold for 2-layer convolutional generative network with ReLU as the activation function, but we demonstrate empirically that the same conclusion extends to multi-layer networks and networks with other activation functions, including the leaky ReLU, sigmoid and tanh.
AMD wants you to buy a 2,000 'agent PC' just for AI
PCWorld reports AMD's new "agent PC" concept featuring Ryzen AI Max+ processors designed to run AI agents continuously as dedicated secondary machines. These $2,000+ systems offer 128GB memory capacity and local AI processing through OpenClaw platform, providing privacy advantages over cloud solutions. High component costs and complex installation processes currently limit consumer adoption, with alternatives like Raspberry Pi potentially more practical. You already have a laptop or desktop PC, but now AMD thinks you need another one--an "agent PC" to support your main machine. AMD has responded to the growing success of OpenClaw's AI agents with a new suggestion: customers should buy "agent PCs," which would take the power of the Ryzen AI Max+ processor (surprise!) and repurpose it to run an agent swarm.
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'Pokémon Go' players have been unknowingly training delivery robots
Technology Robots'Pokémon Go' players have been unknowingly training delivery robots The massive crowdsourcing effort could use real-world to help robots deliver pizza. A woman holds up her cell phone as she plays the Pokémon Go game in Lafayette Park in front of the White House in Washington, DC on July 12, 2016. Breakthroughs, discoveries, and DIY tips sent six days a week. Nearly a decade ago, turned the real world into a digital scavenger hunt, with virtual creatures hiding in plain sight. The early augmented reality smartphone app prompted hundreds of millions of players to wander into parks, parking lots, and even dimly lit alleyways, peering through their phone cameras in search of Pikachus and Charizards that the app superimposed onto their surroundings.
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Stochastic Cubic Regularization for Fast Nonconvex Optimization
This paper proposes a stochastic variant of a classic algorithm---the cubic-regularized Newton method [Nesterov and Polyak]. The proposed algorithm efficiently escapes saddle points and finds approximate local minima for general smooth, nonconvex functions in only $\mathcal{\tilde{O}}(\epsilon^{-3.5})$ stochastic gradient and stochastic Hessian-vector product evaluations. The latter can be computed as efficiently as stochastic gradients. This improves upon the $\mathcal{\tilde{O}}(\epsilon^{-4})$ rate of stochastic gradient descent. Our rate matches the best-known result for finding local minima without requiring any delicate acceleration or variance-reduction techniques.
On the Local Minima of the Empirical Risk
Population risk is always of primary interest in machine learning; however, learning algorithms only have access to the empirical risk. Even for applications with nonconvex non-smooth losses (such as modern deep networks), the population risk is generally significantly more well behaved from an optimization point of view than the empirical risk. In particular, sampling can create many spurious local minima. We consider a general framework which aims to optimize a smooth nonconvex function $F$ (population risk) given only access to an approximation $f$ (empirical risk) that is pointwise close to $F$ (i.e., $\norm{F-f}_{\infty} \le \nu$). Our objective is to find the $\epsilon$-approximate local minima of the underlying function $F$ while avoiding the shallow local minima---arising because of the tolerance $\nu$---which exist only in $f$. We propose a simple algorithm based on stochastic gradient descent (SGD) on a smoothed version of $f$ that is guaranteed to achieve our goal as long as $\nu \le O(\epsilon^{1.5}/d)$. We also provide an almost matching lower bound showing that our algorithm achieves optimal error tolerance $\nu$ among all algorithms making a polynomial number of queries of $f$. As a concrete example, we show that our results can be directly used to give sample complexities for learning a ReLU unit.
Video-to-Video Synthesis
We study the problem of video-to-video synthesis, whose goal is to learn a mapping function from an input source video (e.g., a sequence of semantic segmentation masks) to an output photorealistic video that precisely depicts the content of the source video. While its image counterpart, the image-to-image translation problem, is a popular topic, the video-to-video synthesis problem is less explored in the literature. Without modeling temporal dynamics, directly applying existing image synthesis approaches to an input video often results in temporally incoherent videos of low visual quality. In this paper, we propose a video-to-video synthesis approach under the generative adversarial learning framework. Through carefully-designed generators and discriminators, coupled with a spatio-temporal adversarial objective, we achieve high-resolution, photorealistic, temporally coherent video results on a diverse set of input formats including segmentation masks, sketches, and poses. Experiments on multiple benchmarks show the advantage of our method compared to strong baselines. In particular, our model is capable of synthesizing 2K resolution videos of street scenes up to 30 seconds long, which significantly advances the state-of-the-art of video synthesis. Finally, we apply our method to future video prediction, outperforming several competing systems. Code, models, and more results are available at our website: https://github.com/NVIDIA/vid2vid. (Please use Adobe Reader to see the embedded videos in the paper.)
Mysterious 'Trump' airships appearing in 100-year-old sketchbooks sparks 'time traveler' theories
The astonishing moment Scott Bessent returns to interview noticeably shaken after'Situation Room' call from Trump Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back'Awakening' of terrorist sleeper cells sparks World Cup PANIC: Undercover officer reveals'once in 25 year' threat... and America's'Achilles heel' Trump's Iran war death toll climbs to 13 after all crew onboard US refueling plane died in crash Mother reveals awful sight that greeted her when she opened Walmart in-store oven to find daughter, 19, baked to death inside... and denies suggestions it was suicide Recall of cream cheeses upgraded to most serious risk over contamination with deadly bacteria... 'reasonable probability of death' San Francisco's most iconic mansion is bought by ALGERIAN government for $10m Iran-linked cyberattack on US is'first drop of blood' as experts reveal alarming new threat to homeland I've spent 25 years treating patients with autism. This is the truth about the condition that many people don't want to hear: DR MAX PEMBERTON Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Airfares have already doubled on key routes and are getting worse - here's when to book to avoid the worst prices I was pregnant when I discovered my husband was cheating with my male doctor. I still let him deliver our baby... our arrangement may shock you Maker of Mounjaro writes scathing letter to warn of dangerous'chemical reactions' in knock-off versions of weight-loss drug Cher's son Chaz Bono weds'love of my life' Shara Blue Mathes in front of famous mom in Hollywood Mysterious'Trump' airships appearing in 100-year-old sketchbooks sparks'time traveler' theories A wild theory claims President Donald Trump may be a time traveler, with clues scattered through art and literature for more than a century. Sketches of futuristic aircraft drawn by artist Charles Dellschau, a Prussian immigrant who came to the US in 1850 and died in 1923, mysteriously contain the word'TRUMP' and even featured the number 47 - the number of presidents the US has had. Before his death, Dellschau created depictions of fantastical flying machines that he called'aeros,' which often resembled a mix of early airships, balloons and primitive airplanes.
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Hazardous weather alert for 200 million as megastorm barrels across US
The astonishing moment Scott Bessent returns to interview noticeably shaken after'Situation Room' call from Trump Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back'Awakening' of terrorist sleeper cells sparks World Cup PANIC: Undercover officer reveals'once in 25 year' threat... and America's'Achilles heel' Trump's Iran war death toll climbs to 13 after all crew onboard US refueling plane died in crash Mother reveals awful sight that greeted her when she opened Walmart in-store oven to find daughter, 19, baked to death inside... and denies suggestions it was suicide Recall of cream cheeses upgraded to most serious risk over contamination with deadly bacteria... 'reasonable probability of death' San Francisco's most iconic mansion is bought by ALGERIAN government for $10m Iran-linked cyberattack on US is'first drop of blood' as experts reveal alarming new threat to homeland I've spent 25 years treating patients with autism. This is the truth about the condition that many people don't want to hear: DR MAX PEMBERTON Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Airfares have already doubled on key routes and are getting worse - here's when to book to avoid the worst prices I was pregnant when I discovered my husband was cheating with my male doctor. I still let him deliver our baby... our arrangement may shock you Maker of Mounjaro writes scathing letter to warn of dangerous'chemical reactions' in knock-off versions of weight-loss drug Cher's son Chaz Bono weds'love of my life' Shara Blue Mathes in front of famous mom in Hollywood A powerful'megastorm' set to slam a large swatch of the US could ultimately rank among the most impactful weather events of the year so far. The sprawling system is forecast to sweep from the central Plains into the Midwest and East between Sunday and Monday, bringing widespread travel disruptions and power outages . Blizzard conditions could hit parts of Wisconsin, Michigan, Iowa, northern Illinois and southeastern Minnesota, where forecasters warned that heavy snow and fierce winds may create dangerous whiteout conditions.
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