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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.

168,738 papers · 148 categories

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10192938 · Jun 202019922001200920172026
48 results for 3D maze traversal

The ability to use a 2D map to navigate a complex 3D environment is quite remarkable, and even difficult for many humans. Localization and navigation is also an important problem in domains such as robotics, and has recently become a focus of the deep reinforcement learning community. In this paper we teach a reinforce…

2017-11-20abs ↗pdf ↗

Value Iteration Networks (VINs) are effective differentiable path planning modules that can be used by agents to perform navigation while still maintaining end-to-end differentiability of the entire architecture. Despite their effectiveness, they suffer from several disadvantages including training instability, random …

2018-06-17abs ↗pdf ↗

Models that can simulate how environments change in response to actions can be used by agents to plan and act efficiently. We improve on previous environment simulators from high-dimensional pixel observations by introducing recurrent neural networks that are able to make temporally and spatially coherent predictions f…

2017-04-07abs ↗pdf ↗

In this paper we explore the richness of information captured by the latent space of a vision-based generative model. The model combines unsupervised generative learning with a task-based performance predictor to learn and to exploit task-relevant object affordances given visual observations from a reaching task, invol…

2019-09-30abs ↗pdf ↗

Logical neural networks solve mazes by filling dead ends, but not all methods generalize well.

problem Understanding how logical neural networks extrapolate solutions to mazes.
method Examined recurrent and implicit neural networks trained on maze-solving tasks.
result Models fail to generalize well to diverse maze sizes, suggesting limitations in learning scalable algorithms.

Unified approach to verify NN properties using ReLU's unique polytope structure.

problem Lack of robustness and interpretability in ReLU NNs for risk-sensitive applications.
method Identifying and traversing the local polytopes of ReLU NNs, developing an algorithm to verify properties.
result Unified approach to examine network behavior in risk-sensitive settings.

We introduce a conceptually simple and scalable framework for continual learning domains where tasks are learned sequentially. Our method is constant in the number of parameters and is designed to preserve performance on previously encountered tasks while accelerating learning progress on subsequent problems. This is a…

2018-05-16abs ↗pdf ↗

We study smooth {\sf traversing} vector fields vv on compact manifolds XX with boundary. A traversing vv admits a Lyapunov function f:XRf: X \to \Bbb R such that df(v)>0df(v) > 0. We show that the trajectory spaces T(v)\mathcal T(v) of {\sf traversally generic} vv-flows are {\sf Whitney stratified spaces}, and thus admit tr…

2014-09-02abs ↗pdf ↗

PBCS combines RL and motion planning for better exploration.

problem RL algorithms struggle with versatile exploration in complex environments.
method PBCS uses motion planning to find a good trajectory, then trains RL on a curriculum derived from it.
result PBCS outperforms state-of-the-art RL algorithms in 2D maze environments.

Improves latent space structure for better data representation.

problem Limited ability of conventional priors to encode data manifold structure.
method Introduces an Encoded Prior Sliced Wasserstein AutoEncoder with iterative training and geodesic interpolation.
result Learned manifold encoding preserves topological and geometric properties of data.

A novel multi-resolution Gaussian process model for efficient time traversal.

problem Inference for long sequences with fast and slow transitions is difficult.
method A novel Gaussian process state-space architecture composed of multiple components, each trained on a different resolution.
result The combined model allows efficient inference for arbitrarily long sequences with complex dynamics.

Deep Reinforcement Learning has shown tremendous success in solving several games and tasks in robotics. However, unlike humans, it generally requires a lot of training instances. Trajectories imitating to solve the task at hand can help to increase sample-efficiency of deep RL methods. In this paper, we present a simp…

2018-11-28abs ↗pdf ↗

Many tasks in computer vision can be cast as a "label changing" problem, where the goal is to make a semantic change to the appearance of an image or some subject in an image in order to alter the class membership. Although successful task-specific methods have been developed for some label changing applications, to da…

2015-11-19abs ↗pdf ↗

Sparse reward is one of the biggest challenges in reinforcement learning (RL). In this paper, we propose a novel method called Generative Exploration and Exploitation (GENE) to overcome sparse reward. GENE automatically generates start states to encourage the agent to explore the environment and to exploit received rew…

2019-04-21abs ↗pdf ↗

AutoDIME automates design of multi-agent environments for RL.

problem Designing multi-agent environments for reinforcement learning is challenging.
method Developed intrinsic teacher rewards for multi-agent settings and evaluated them in various tasks.
result Value disagreement was found to be most consistent and effective across tasks.

CSAC enables cooperative reinforcement learning for multi-stage tasks.

problem Coordinating consecutive reinforcement learning agents for long-term multi-stage tasks.
method CSAC modifies each agent's policy to maximize both current and next agent's critic.
result CSAC outperforms uncooperative policies and single-agent training in multi-room maze domain.

Any traversally generic vector flow on a compact manifold XX with boundary leaves some residual structure on its boundary $\d X$. A part of this structure is the flow-generated causality map CvC_v, which takes a region of $\d X$ to the complementary region. By the Holography Theorem from \cite{K4}, the map CvC_v allow…

2018-06-27abs ↗pdf ↗

Unsupervised representation learning has succeeded with excellent results in many applications. It is an especially powerful tool to learn a good representation of environments with partial or noisy observations. In partially observable domains it is important for the representation to encode a belief state, a sufficie…

2018-11-15abs ↗pdf ↗

This paper introduces a new approach to active inference using constrained Bethe Free Energy.

problem Tackling the limitations of existing epistemic behavior models in active inference.
method Introducing a constrained Bethe Free Energy (CBFE) perspective to optimize epistemic behavior in generative models.
result CBFE optimization leads to more robust and flexible epistemic behavior compared to existing methods.

Predicts node sequences in graphs using multi-order network models.

problem Predicting sequences of node traversals in graphs.
method Combines multiple higher-order network models into a multi-order model, fitting and selecting the optimal maximum order.
result Outperforms state-of-the-art algorithms for next-element and full sequence prediction.

A colored graph is a directed graph in which nodes or edges have been assigned colors that are not necessarily unique. Observability problems in such graphs consider whether an agent observing the colors of edges or nodes traversed on a path in the graph can determine which node they are at currently or which nodes wer…

2018-11-09abs ↗pdf ↗

SURF steers scalarization weights to uniformly traverse the Pareto front.

problem Non-uniform coverage of the Pareto front when using scalarization weights.
method Geometric analysis and CDF mapping to select weights for uniform coverage.
result SURF converges to uniform Pareto front coverage under provable conditions.

Let Ck1k2C_{k_1}^{k_2} denote the set of all closed curves of class CrC^r on the sphere S2S^2 whose geodesic curvatures are restricted to lie in (k1,k2)(k_1,k_2), furnished with the CrC^r topology (for some r>=2r >= 2 and possibly infinite k1<k2k_1 < k_2). In 1970, J. Little proved that the space C0+C_0^{+\infty} of closed curves ha…

2013-04-10abs ↗pdf ↗

We investigate the difficulties of training sparse neural networks and make new observations about optimization dynamics and the energy landscape within the sparse regime. Recent work of \citep{Gale2019, Liu2018} has shown that sparse ResNet-50 architectures trained on ImageNet-2012 dataset converge to solutions that a…

2019-06-25abs ↗pdf ↗

We study knots in 3d Chern-Simons theory with complex gauge group SL(N,C)SL(N,\mathbb{C}), in the context of its relation with 3d N=2\mathcal{N}=2 theory (the so-called 3d-3d correspondence). The defect has either co-dimension 2 or co-dimension 4 inside the 6d (2,0)(2,0) theory, which is compactified on a 3-manifold M^\hat{M}. …

2015-10-13abs ↗pdf ↗