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Robotics
Intuitive Physics Engines
Intuitive physics engines represent a computational method designed to emulate the human capacity for commonsense reasoning regarding physical interactions without resorting to the exhaustive numerical setup required by traditional physics simulators. These systems function by inferring outcomes through learned or encoded expectations concerning object behaviors such as solidity, gravity, and material fragility, effectively prioritizing plausibility over exact precision to ma

Yatin Taneja
Mar 912 min read
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Motor Skills Mapper
Wearable motion sensors collect continuous kinematic data including joint angles, acceleration, velocity, and posture from users across developmental stages to create a foundational dataset for understanding human movement. These devices utilize micro-electromechanical systems embedded within flexible substrates to capture high-fidelity motion signals that serve as the basis for advanced analysis. The connection of these sensors into various form factors, such as garments, wr

Yatin Taneja
Mar 911 min read
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Planetary Sensor Fusion
Sensor fusion functions as a sophisticated computational process that integrates measurements from disparate physical sources to generate a unified and more accurate representation of an observed environment than any single sensor could provide independently. This technique relies heavily on statistical and probabilistic methods to weigh the reliability of each input, effectively reducing uncertainty and noise in the final output. A digital twin is the culmination of this fus

Yatin Taneja
Mar 911 min read
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Safe Exploration Problem: Lyapunov Functions for Bounded Policy Search
The safe exploration problem constitutes a challenge in the development of autonomous systems, requiring these agents to investigate and expand their capabilities within an environment while strictly avoiding actions that result in irreversible harm or catastrophic failure. This challenge becomes exponentially more critical when applied to recursively self-improving artificial intelligence, where the system actively modifies its own architecture or policy parameters to increa

Yatin Taneja
Mar 911 min read
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Navigation in Complex Environments
Navigation in complex environments requires a robot to determine its position and construct a map simultaneously through Simultaneous Localization and Mapping (SLAM). Early approaches relied on pre-built maps and dead reckoning, which failed in unknown or changing environments due to the accumulation of unbounded errors over time. Probabilistic SLAM methods like EKF-SLAM superseded these early techniques to handle uncertainty by maintaining a probability distribution over the

Yatin Taneja
Mar 910 min read
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Spatial-Temporal Reasoning
Spatial-temporal reasoning involves interpreting and predicting object states across three-dimensional space and time, requiring connection of geometric, kinematic, and energetic constraints to form a coherent understanding of adaptive environments. The core task constitutes constructing and maintaining a consistent 4D world model comprising 3D spatial coordinates plus a temporal dimension that accounts for object persistence, occlusion, motion progression, and environmental

Yatin Taneja
Mar 99 min read
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Cognitive Kintsugi: Repairing with Beauty
Cognitive Kintsugi is a deep philosophical and pedagogical shift where the ancient Japanese art of repairing broken pottery with gold-infused lacquer is applied directly to psychological and cognitive repair within the context of advanced education. This approach treats cognitive dissonance, trauma, or significant framework shifts not as errors to be concealed or erased, but as structural features to be highlighted and reinforced through deliberate, beauty-oriented connection

Yatin Taneja
Mar 911 min read
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Topological Constraints on Manifold of Safe Behaviors
Topological safety barriers utilize algebraic topology to monitor the internal structure of artificial intelligence systems by treating the system's cognitive state as a geometric object subject to mathematical analysis. The knowledge manifold is the geometric organization of an AI's internal state space derived from latent embeddings that map high-dimensional inputs into lower-dimensional representations. This manifold functions as a map where concepts are located relative t

Yatin Taneja
Mar 98 min read
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Spatial Reasoning: Navigating the World Like Humans
Spatial reasoning enables systems to interpret, represent, and act within environments using structures and relationships that mirror human cognition. This capability supports navigation, object manipulation, and situational awareness in both physical and virtual domains without reliance on explicit coordinate-based instructions. Human spatial cognition relies on mental mapping, perspective-taking, and landmark-based wayfinding instead of absolute positional data. Systems rep

Yatin Taneja
Mar 98 min read
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