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#Circuit Complexity

Showing: 32 courses
Simons Institute

The Parallelism Tradeoff: Understanding Transformer Expressivity Through Circuit Complexity

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Explore transformer neural nets' computational power and limitations through circuit complexity analysis, revealing insights into parallelism tradeoffs in large-scale model architectures.
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1 Lesons
45 minutes
On-Demand
Free-Video
Simons Institute

Limitations of Attention Mechanism in Transformers - Implications for Generalization and Optimization

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Explore Transformer's reasoning capabilities and limitations in sequential tasks, examining optimization challenges and out-of-distribution generalization issues compared to RNNs.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institute for Advanced Study

Proof and Circuit Complexity - Robert Robere

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Explore proof and circuit complexity with Robert Robere, delving into Boolean circuits, monotone circuits, slice functions, and the Click function to understand computational limitations.
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8 Lesons
24 minutes
On-Demand
Free-Video
Centre for Quantum Technologies

NLTS Hamiltonians from Good Quantum Codes - Understanding Low-Energy States and Circuit Complexity

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Delve into the complexity of NLTS conjecture, quantum LDPC codes, and their connection to local Hamiltonians, exploring circuit lower bounds and many-body entanglement principles.
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1 Lesons
42 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Identity Check Problem for Shallow Quantum Circuits

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Explore an efficient classical algorithm for checking quantum circuit identity, focusing on shallow geometrically local circuits and their distance approximation to identity channels.
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1 Lesons
25 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

3D-Local Noisy Shallow Quantum Circuits - A Colossal Advantage Against Classical Computing

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Explore groundbreaking research demonstrating quantum computing superiority using 3D-local noisy circuits, showcasing unprecedented advantages over classical computing in fault-tolerant quantum systems.
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1 Lesons
24 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Parity vs. AC0 with Simple Quantum Preprocessing

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Delve into quantum computation theory exploring the limitations of QNC0 and AC0 circuits in computing parity functions, with insights into decision tree complexity and nonlocal channels.
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1 Lesons
31 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Constant-Depth Circuits for Uniformly Controlled Gates and Boolean Functions

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Explore constant-depth quantum circuits using Fan-Out and Global Tunable gates, focusing on implementations for Uniformly Controlled Gates and quantum memory applications.
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1 Lesons
25 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Computational Quantum Secret Sharing

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Discover groundbreaking advances in quantum secret sharing schemes, exploring computational security approaches that achieve efficient distribution and reconstruction of quantum states with reduced share sizes.
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1 Lesons
17 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum State Learning Implies Circuit Lower Bounds

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Delve into groundbreaking research connecting quantum state tomography with circuit complexity, exploring implications for quantum learning algorithms and classical circuit lower bounds.
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1 Lesons
22 minutes
On-Demand
Free-Video
Paul G. Allen School

Innovations in Theoretical Computer Science 2020 - Session 10

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Explores cutting-edge research in theoretical computer science, covering topics like computational hardness, random strings, decision trees, and pseudorandomness. Features presentations from leading experts in the field.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Simons Institute

Logic and Probabilistic Circuits - Lecture 4

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Explore advanced concepts in logic and probabilistic circuits, focusing on their applications in database theory and artificial intelligence.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Institute

Logic and Probabilistic Circuits - Part 3

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Explore advanced concepts in logic and probabilistic circuits, focusing on their applications in database theory and AI algorithms.
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1 Lesons
1 hour
On-Demand
Free-Video
Simons Institute

Top-Down Lower Bounds for Depth-Four Circuits

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Explores new proof techniques for depth-4 boolean circuit complexity, applying robust sunflowers and block unpredictability to demonstrate exponential lower bounds for the parity function.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Association for Computing Machinery (ACM)

Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization

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Explore circuit lower bounds and derandomization, focusing on AC circuits, algorithmic methods, and pseudorandom generators. Learn about recent developments in average-case circuit analysis.
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16 Lesons
21 minutes
On-Demand
Free-Video
Simons Institute

Recent Structure Lemmas for Depth-Two Threshold Circuits

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Explore recent advancements in structure lemmas for depth-two threshold circuits, focusing on Boolean devices and their implications in computational complexity theory.
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1 Lesons
28 minutes
On-Demand
Free-Video
Ryan O'Donnell

Quantum Complexity - Quantum Computation at CMU

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Explore quantum complexity, error probabilities, and complexity classes in this advanced lecture on quantum computation and information theory.
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9 Lesons
1 hour 23 minutes
On-Demand
Free-Video
IEEE

Almost-Everywhere Circuit Lower Bounds from Non-Trivial Derandomization

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Explore groundbreaking research on circuit complexity theory, focusing on the connection between derandomization techniques and establishing lower bounds for circuit sizes across various computational models.
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1 Lesons
24 minutes
On-Demand
Free-Video
IEEE

Non-deterministic Quasi-Polynomial Time is Average-case Hard for ACC Circuits

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Explore the complexity theory concept of non-deterministic quasi-polynomial time and its average-case hardness for ACC circuits in this advanced computer science presentation.
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1 Lesons
20 minutes
On-Demand
Free-Video
Simons Institute

Learning Shallow Quantum Circuits and Quantum States in Polynomial Time

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Efficient algorithms for learning shallow quantum circuits and states, extending to polylog depth. Key techniques involve reconstructing low-complexity quantum systems from local observables.
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1 Lesons
42 minutes
On-Demand
Free-Video
Simons Institute

Circuit Conspiracies - Verifiable NISQ Quantum Supremacy and AI Interpretability

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Exploring quantum circuit properties and their implications for NISQ quantum supremacy, with connections to AI interpretability and neural networks.
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1 Lesons
51 minutes
On-Demand
Free-Video
Simons Institute

An Efficient Quantum Factoring Algorithm - Quantum Colloquium

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Explore a groundbreaking quantum factoring algorithm that outperforms Shor's algorithm, using fewer quantum gates and classical post-processing to factorize large integers more efficiently.
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1 Lesons
1 hour 53 minutes
On-Demand
Free-Video
IEEE

Lifting with Simple Gadgets and Applications to Circuit and Proof Complexity

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Explore lifting techniques in circuit and proof complexity, focusing on Cutting Planes measures, communication complexity, and applications to monotone circuits and formulas.
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7 Lesons
21 minutes
On-Demand
Free-Video
IEEE

Tight Quantum Time-Space Tradeoffs for Function Inversion

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Explore quantum time-space tradeoffs for function inversion, examining classical tradeoffs, circuit complexity, and a generic framework. Delve into proof overviews and multi-instance gains.
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16 Lesons
26 minutes
On-Demand
Free-Video
IEEE

The Constant Depth Formula and Partial Function Versions of MCSP are Hard

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Explore the complexity of MCSP variants, including partial function and constant depth formula versions, and their implications for circuit lower bounds and computational hardness.
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12 Lesons
23 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

Optimizing Semi-Honest Secure Multiparty Computation for the Internet

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Optimizing secure multiparty computation for internet use, focusing on efficiency improvements in BMR protocol and OT-based methods for honest-minority settings.
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17 Lesons
27 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum Mass Production Theorems - Implementing Multiple Copies of Quantum Circuits

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Delve into quantum circuit optimization through mass production theorems, exploring efficient implementations of multiple copies of quantum transformations and their theoretical implications.
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10 Lesons
23 minutes
On-Demand
Free-Video
Paul G. Allen School

A Dogged Pursuit for Satisfaction - Exploring Boolean Satisfiability and Computational Complexity

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Delve into the fascinating world of computational complexity as Ryan Williams explores Boolean satisfiability, algorithm optimization, and groundbreaking discoveries in fine-grained complexity theory and circuit analysis.
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1 Lesons
54 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Shallow Quantum Circuits: Unconditional Separations Between Quantum and Classical Computing

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Delve into quantum circuit complexity, exploring unconditional separations between quantum and classical computing, with practical circuit construction techniques and sampling distribution analysis.
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15 Lesons
51 minutes
On-Demand
Free-Video
Kolmogorov-Seminar

Computing Majority of N Using Majority-K Circuits with Logarithmic Depth

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Delve into probabilistic constructions and computational complexity, exploring Valiant's theorem on majority functions using Maj-k circuits and their depth analysis.
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1 Lesons
1 hour 50 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Complexity Theory Through the Lens of Kolmogorov Complexity - Tutorial 2

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Explore complexity theory through Kolmogorov complexity in this mathematical tutorial by Igor Carboni Oliveira, recorded at CIRM's thematic meeting on randomness, information, and complexity.
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1 Lesons
1 hour
On-Demand
Free-Video
UCLA Computer Science

CS 201 - Introduction to Algorithms - March 14, 2023

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Explore advanced computer science concepts with Gal Vardi from Toyota Technological Institute in this UCLA lecture series.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video