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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,181 papers · 148 categories

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48 results for GAN Objective Function

CapsuleGAN uses capsule networks in GANs for better image data modeling.

problem Improving image data modeling in GANs.
method CapsuleGAN uses capsule networks as discriminators in GANs, with a new objective function incorporating margin loss.
result CapsuleGAN outperforms standard GANs on image data modeling and semi-supervised classification.

The paper explores how Lipschitz-continuity improves GAN training stability and quality.

problem Failure and instability in GAN training due to unreliable gradient from optimal discriminative function.
method Investigates the property of optimal discriminative function and proves Lipschitz-continuity is a solution.
result Lipschitz-continuity condition ensures convergence and leads to more stable and higher quality generated samples.

Dual-objective GANs reduce training instabilities with tunable α-loss parameters.

problem Training instabilities in Generative Adversarial Networks (GANs).
method Introduce (αD,αG)(α_D,α_G)-GANs with dual objectives modeled using αα-loss.
result Upper bounds on estimation error show improved performance under certain conditions.

A new GAN training method using primal-dual subgradient methods.

problem Training GANs to avoid mode collapse and generate diverse samples.
method Relating GANs to convex optimization via Lagrangian perspective and primal-dual subgradient methods.
result The proposed method resolves mode collapse and generates diverse samples.

GANs can generate realistic data without minimizing a divergence, contrary to current theory.

problem Current theory suggests GANs minimize a divergence to generate realistic data.
method Discussed various loss functions for G, showing they are not divergences and do not have the same equilibrium.
result GANs can use a wide range of loss functions, not just divergences, to generate realistic data.

Survey of GANs challenges and solutions for better model design and optimization.

problem Challenges in training GANs, including mode collapse, non-convergence, and instability.
method Comprehensive survey of GANs design and optimization solutions, proposing a new taxonomy.
result Presentation of promising research directions in GANs.

Paper introduces a new method to improve GANs by leveraging the discriminator's energy.

problem Improving the quality of generated samples in GANs.
method Discriminator Contrastive Divergence (DCD) method.
result Significant improvement in generation quality on synthetic and real-world data.

Generalized dual discriminator GANs improve upon traditional GANs by using two discriminators and a flexible loss function.

problem Mode collapse in GANs.
method Introducing dual discriminator αα-GANs and extending the approach to arbitrary functions.
result The approach reduces the optimization problem to a linear combination of an ff-divergence and a reverse ff-divergence.

GANs struggle with discontinuous distributions and object counting in images.

problem GANs' limitations in learning from complex distributions and counting objects.
method Evaluated GANs on synthetic datasets including discontinuous and noisy points, and images with varying polygons.
result GANs fail to accurately recreate discontinuous distributions and count objects in images.

Paper analyzes game dynamics with negative momentum for improved stability and convergence.

problem Complexity and instability in game dynamics, especially in adversarial settings.
method Analyzed gradient-based methods with negative momentum on simple games and adversarial problems.
result Alternating gradient updates with negative momentum achieve convergence in difficult adversarial problems.

LSGANs improve GANs by using least squares loss, leading to better image quality and stability.

problem Vanishing gradients in GANs during training.
method Introducing LSGANs with least squares loss for both discriminator and generator.
result LSGANs generate higher quality images and are more stable during training.

We present a framework to understand GAN training as alternating density ratio estimation and approximate divergence minimization. This provides an interpretation for the mismatched GAN generator and discriminator objectives often used in practice, and explains the problem of poor sample diversity. We also derive a fam…

2016-12-08abs ↗pdf ↗

A new GAN variant avoids mode collapse and generates high-quality images.

problem Mode collapse in GANs.
method Mixture Density GAN uses Gaussian mixtures to encourage the discriminator to form clusters, leading the generator to discover multiple data modes.
result Mixture Density GAN generates images with high quality and avoids mode collapse, as shown by FID metrics.

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train. Recently, a series of papers (Arjovsky & Bottou, 2017a; Arjovsky et al. 2017b; and Gu…

2017-05-06abs ↗pdf ↗

Generative adversarial networks (GANs) are successful deep generative models. GANs are based on a two-player minimax game. However, the objective function derived in the original motivation is changed to obtain stronger gradients when learning the generator. We propose a novel algorithm that repeats the density ratio e…

2016-10-10abs ↗pdf ↗

Generative models create indistinguishable adversarial objects for object detection.

problem Creating unrestricted adversarial examples for object detection.
method Search over latent space of GAN for adversarial objects.
result Generated adversarial objects are indistinguishable from non-adversarial objects and transferable.

ProAGAN stabilizes GANs for learning SOMs from noisy medical imaging data.

problem Learning stochastic object models from noisy and indirect medical imaging measurements.
method Developed Progressive Growing of AmbientGANs (ProAGAN) to stabilize GANs training.
result Signal detection performance improved using ProAGAN-generated images.

A new GAN model improves object generation and reconstruction quality.

problem Generating realistic objects and their reconstructions.
method Joint training of a generator and encoder in an adversarial manner, introducing an augmented adversarial reconstruction loss.
result The model generates samples and reconstructions of quality competitive with state-of-the-art.

GAN-based semi-supervised learning improves classifier generalization.

problem Improving classifier performance with limited labeled data.
method Theoretical analysis of GAN-SSL, proving equivalence of discriminator optimization and supervised learning, and exploring conditions for perfect discriminator.
result GAN-SSL theoretically outputs a perfect discriminator on both labeled and unlabeled data.

Proposes new loss functions for GANs to improve estimation accuracy and robustness.

problem Improving the training of GANs to achieve more accurate and robust models.
method Introduces Hellinger-type loss functions and analyzes their statistical properties.
result Demonstrates improved estimation accuracy and robustness of the proposed loss functions.

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they provide samples that are sharp and compelling; and they allow us to harness our knowl…

2016-10-11abs ↗pdf ↗

This research shows unsupervised GANs can perform object segmentation without labels.

problem Performing object segmentation without pixel or image-level labels.
method Used large-scale unsupervised GAN models to differentiate foreground from background.
result Demonstrated high-quality saliency masks and new state-of-the-art performance.

CP-GAN generates images selectively conditioned on class specificity, capturing between-class relationships.

problem Generating images selectively conditioned on class specificity in class-overlapping data.
method Proposed Classifier's Posterior GAN (CP-GAN) that redesigns generator input and objective function for class-overlapping data.
result Demonstrated effectiveness of CP-GAN using both controlled and real-world class-overlapping data.