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]
}
],
"outputs": [],
"source": [
"!pip install scipy\n",
"!pip install tenacity\n",
"!pip install tiktoken==0.3.3\n",
"!pip install termcolor \n",
"!pip install openai\n",
"!pip install arxiv\n",
"!pip install pandas\n",
"!pip install PyPDF2\n",
"!pip install tqdm"
"!pip install scipy --quiet\n",
"!pip install tenacity --quiet\n",
"!pip install tiktoken==0.3.3 --quiet\n",
"!pip install termcolor --quiet\n",
"!pip install openai --quiet\n",
"!pip install arxiv --quiet\n",
"!pip install pandas --quiet\n",
"!pip install PyPDF2 --quiet\n",
"!pip install tqdm --quiet"
]
},
{
@ -240,10 +192,10 @@
{
"data": {
"text/plain": [
"{'title': 'Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition',\n",
" 'summary': \"We study the R\\\\'enyi entanglement entropy (EE) of the two-dimensional $J$-$Q$\\nmodel, the emblematic quantum spin model of deconfined criticality at the phase\\ntransition between antiferromagnetic and valence-bond-solid ground states.\\nQuantum Monte Carlo simulations with an improved EE scheme reveal critical\\ncorner contributions that scale logarithmically with the system size, with a\\ncoefficient in remarkable agreement with the form expected from a large-$N$\\nconformal field theory with SO($N=5$) symmetry. However, details of the\\nbipartition of the lattice are crucial in order to observe this behavior. If\\nthe subsystem for the reduced density matrix does not properly accommodate\\nvalence-bond fluctuations, logarithmic contributions appear even for\\ncorner-less bipartitions. We here use a $45^\\\\circ$ tilted cut on the square\\nlattice. Beyond supporting an SO($5$) deconfined quantum critical point, our\\nresults for both the regular and tilted cuts demonstrate important microscopic\\naspects of the EE that are not captured by conformal field theory.\",\n",
"{'title': 'Quantum types: going beyond qubits and quantum gates',\n",
" 'summary': 'Quantum computing is a growing field with significant potential applications.\\nLearning how to code quantum programs means understanding how qubits work and\\nlearning to use quantum gates. This is analogous to creating classical\\nalgorithms using logic gates and bits. Even after learning all concepts, it is\\ndifficult to create new algorithms, which hinders the acceptance of quantum\\nprogramming by most developers. This article outlines the need for higher-level\\nabstractions and proposes some of them in a developer-friendly programming\\nlanguage called Rhyme. The new quantum types are extensions of classical types,\\nincluding bits, integers, floats, characters, arrays, and strings. We show how\\nto use such types with code snippets.',\n",
"The academic paper discusses the unique decomposition of generators of completely positive dynamical semigroups in infinite dimensions. The main result of the paper is that for any separable complex Hilbert space, any trace-class operator B that does not have a purely imaginary trace, and any generator L of a norm-continuous one-parameter semigroup of completely positive maps, there exists a unique bounded operator K and a unique completely positive map Φ such that L=K(·) + (·)K∗+ Φ. The paper also introduces a modified version of the Choi formalism, which relates completely positive maps to positive semi-definite operators, and characterizes when this correspondence is injective and surjective. The paper concludes by discussing the challenges and questions that arise when generalizing the results to non-separable Hilbert spaces.\n"
"Core Argument:\n",
"- The academic paper explores the connection between the transverse field Ising (TFI) model and the ϕ4 model, highlighting the analogy between topological solitary waves in the ϕ4 model and the effect of the transverse field on spin flips in the TFI model.\n",
"- The study reveals regimes of memory/loss of memory and coherence/decoherence in the classical ϕ4 model subjected to periodic perturbations, which are essential in annealing phenomena.\n",
"- The exploration of the analogy between lower-dimensional linear quantum systems and higher-dimensional classical nonlinear systems can lead to a deeper understanding of information processing in these systems.\n",
"\n",
"Evidence:\n",
"- The authors analyze the dynamics and relaxation of weakly coupled ϕ4 chains through numerical simulations, observing kink and breather excitations and investigating the structural phase transition associated with the double well potential.\n",
"- The critical temperature (Tc) approaches zero as the inter-chain coupling strength (C⊥) approaches zero, but there is a finite Tc for C⊥>0.\n",
"- The spectral function shows peaks corresponding to particle motion across the double-well potential at higher temperatures and oscillations in a single well at lower temperatures.\n",
"- The soft-mode frequency (ωs) decreases as temperature approaches Ts, the dynamical crossover temperature.\n",
"- The relaxation process of the average displacement (QD) is controlled by spatially extended vibrations and large kink densities.\n",
"- The mean domain size (⟨DS⟩) exhibits an algebraic decay for finite C⊥>0.\n",
"- The probability of larger domain sizes is higher before a kick compared to after a kick for C⊥>0.\n",
"\n",
"Conclusions:\n",
"- The authors suggest further exploration of the crossover between decoherence and finite coherence in periodic-kick strength space.\n",
"- They propose extending the study to different kick profiles, introducing kink defects, and studying weakly-coupled chains in higher dimensions.\n",
"- Recognizing similarities between classical nonlinear equations and quantum linear ones in information processing is important.\n",
"- Future research directions include investigating the dynamics of quantum annealing, measurement and memory in the periodically driven complex Ginzburg-Landau equation, and the behavior of solitons and domain walls in various systems.\n"
]
}
],
@ -667,23 +637,21 @@
{
"data": {
"text/markdown": [
"PPO (Proximal Policy Optimization) is a reinforcement learning algorithm used in training agents to make sequential decisions in dynamic environments. It belongs to the family of policy optimization algorithms and addresses the challenge of optimizing policies in a stable and sample-efficient manner. \n",
"\n",
"PPO works by iteratively collecting a batch of data from interacting with the environment, computing advantages to estimate the quality of actions, and then performing multiple policy updates using a clipped surrogate objective. This objective function helps prevent excessive policy updates that could lead to policy divergence and instability. \n",
"\n",
"By iteratively updating the policy using the collected data, PPO seeks to maximize the expected cumulative rewards obtained by the agent. It has been used successfully in a variety of reinforcement learning tasks, including robotic control, game playing, and simulated environments. \n",
"\n",
"To learn more about PPO reinforcement learning, you can read the following papers:\n",
"PPO (Proximal Policy Optimization) is a reinforcement learning algorithm that aims to find the optimal policy for an agent by optimizing the policy parameters in an iterative manner. Here are a few papers that discuss PPO in more detail:\n",
" Summary: This paper introduces PPO and presents two versions of the algorithm: PPO-Penalty and PPO-Clip. It provides a detailed description of PPO's update rule and compares its performance against other popular reinforcement learning algorithms.\n",
" Summary: This paper introduces two algorithms, PPO (Proximal Policy Optimization) and TRPO (Trust Region Policy Optimization), that address the issue of sample efficiency and stability in reinforcement learning. PPO uses a surrogate objective function that makes smaller updates to the policy parameters, resulting in more stable and efficient learning.\n",
"\n",
"2. Title: \"Emergent Properties of PPO Reinforcement Learning in Resource-Limited Environments\"\n",
" Summary: This paper explores the emergent properties of PPO reinforcement learning algorithms in resource-limited environments. It discusses the impact of varying the resource constraints and agent population sizes on the learning process and performance.\n",
"2. Title: \"Emergence of Locomotion Behaviours in Rich Environments with PPO\"\n",
" Summary: This paper explores the use of PPO in training agents to learn locomotion behaviors in complex and dynamic environments. The authors demonstrate the effectiveness of PPO in learning a variety of locomotion skills, such as walking, jumping, and climbing.\n",
"\n",
"Reading these papers will give you a deeper understanding of PPO reinforcement learning and its applications in different domains."
"3. Title: \"Proximal Policy Optimization for Multi-Agent Systems\"\n",
" Summary: This paper extends PPO to the domain of multi-agent systems, where multiple agents interact and learn together. The authors propose a decentralized version of PPO that allows each agent to update its policy independently based on its local observations, resulting in more scalable and efficient learning in multi-agent environments.\n",
"\n",
"These papers provide detailed explanations of the PPO algorithm, its advantages, and its applications in different scenarios. Reading them can give you a deeper understanding of how PPO reinforcement learning works."
"The paper discusses the unique decomposition of generators of completely positive dynamical semigroups in infinite dimensions. The main result is that for any separable complex Hilbert space, any trace-class operator B that does not have a purely imaginary trace, and any generator L of a norm-continuous one-parameter semigroup of completely positive maps, there exists a unique bounded operator K and a unique completely positive map Φ such that L=K(·) + (·)K∗+ Φ. The paper also introduces a modified version of the Choi formalism and characterizes when this correspondence is injective and surjective. The paper concludes by discussing the challenges and questions that arise when generalizing the results to non-separable Hilbert spaces."
"Core Argument:\n",
"- The academic paper explores the connection between the transverse field Ising (TFI) model and the ϕ4 model, highlighting the analogy between the coupling of topological solitary waves in the ϕ4 model and the effect of the transverse field on spin flips in the TFI model.\n",
"- The study reveals regimes of memory/loss of memory and coherence/decoherence in the classical ϕ4 model subjected to periodic perturbations, which are essential in annealing phenomena.\n",
"- The exploration of the analogy between lower-dimensional linear quantum systems and higher-dimensional classical nonlinear systems can lead to a deeper understanding of information processing in these systems.\n",
"\n",
"Evidence:\n",
"- The authors analyze the dynamics and relaxation of weakly coupled ϕ4 chains through numerical simulations, studying the behavior of kink and breather excitations and the structural phase transition associated with the double well potential.\n",
"- The critical temperature (Tc) approaches zero as the inter-chain coupling strength (C⊥) approaches zero, but there is a finite Tc for C⊥>0.\n",
"- The spectral function shows peaks corresponding to particle motion across the double-well potential at higher temperatures and oscillations in a single well at lower temperatures.\n",
"- The soft-mode frequency (ωs) decreases as temperature approaches Ts, the dynamical crossover temperature.\n",
"- The relaxation process of the average displacement (QD) is controlled by spatially extended vibrations and large kink densities.\n",
"- The mean domain size (⟨DS⟩) exhibits an algebraic decay for finite C⊥>0.\n",
"- The probability of larger domain sizes is higher before a kick compared to after a kick for C⊥>0.\n",
"\n",
"Conclusions:\n",
"- The study of weakly-coupled classical ϕ4 chains provides insights into quantum annealing architectures and the role of topological excitations in these systems.\n",
"- The equilibration of the system is faster for higher kick strengths, and the mean domain size increases with higher final temperatures.\n",
"- Further exploration of the crossover between decoherence and finite coherence in periodic-kick strength space is suggested.\n",
"- The paper highlights the importance of recognizing similarities between classical nonlinear equations and quantum linear ones in information processing and suggests future research directions in this area."
"`tools` is an optional parameter in the Chat Completion API which can be used to provide function specifications. The purpose of this is to enable models to generate function arguments which adhere to the provided specifications. Note that the API will not actually execute any function calls. It is up to developers to execute function calls using model outputs.\n",
"\n",
"Within the `tools` parameter, if the `functions` parameter is provided then by default the model will decide when it is appropriate to use one of the functions. The API can be forced to use a specific function by setting the `tool_choice` parameter to `{\"name\": \"<insert-function-name>\"}`. The API can also be forced to not use any function by setting the `tool_choice` parameter to `\"none\"`. If a function is used, the output will contain `\"finish_reason\": \"function_call\"` in the response, as well as a `tool_choice` object that has the name of the function and the generated function arguments.\n",
"Within the `tools` parameter, if the `functions` parameter is provided then by default the model will decide when it is appropriate to use one of the functions. The API can be forced to use a specific function by setting the `tool_choice` parameter to `{\"type\": \"function\", \"function\": {\"name\": \"my_function\"}}`. The API can also be forced to not use any function by setting the `tool_choice` parameter to `\"none\"`. If a function is used, the output will contain `\"finish_reason\": \"tool_calls\"` in the response, as well as a `tool_calls` object that has the name of the function and the generated function arguments.\n",
"\n",
"### Overview\n",
"\n",
@ -40,45 +40,13 @@
"is_executing": true
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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]
}
],
"outputs": [],
"source": [
"!pip install scipy\n",
"!pip install tenacity\n",
"!pip install tiktoken\n",
"!pip install termcolor \n",
"!pip install openai"
"!pip install scipy --quiet\n",
"!pip install tenacity --quiet\n",
"!pip install tiktoken --quiet\n",
"!pip install termcolor --quiet\n",
"!pip install openai --quiet"
]
},
{
@ -247,7 +215,7 @@
{
"data": {
"text/plain": [
"ChatCompletionMessage(content='Sure, I can help you with that. Could you please provide me with your location?', role='assistant', function_call=None, tool_calls=None)"
"ChatCompletionMessage(content='Sure, could you please tell me the location for which you would like to know the weather?', role='assistant', function_call=None, tool_calls=None)"
"ChatCompletionMessage(content='Sure! Please provide the number of days you would like to know the weather forecast for.', role='assistant', function_call=None, tool_calls=None)"
"ChatCompletionMessage(content='Sure, I can help you with that. How many days would you like to get the weather forecast for?', role='assistant', function_call=None, tool_calls=None)"
"\u001b[32muser: Hi, who are the top 5 artists by number of tracks?\n",
"\u001b[0m\n",
"\u001b[34massistant: Function(arguments='{\\n \"query\": \"SELECT artist.Name, COUNT(track.TrackId) AS num_tracks FROM artist JOIN album ON artist.ArtistId = album.ArtistId JOIN track ON album.AlbumId = track.AlbumId GROUP BY artist.ArtistId ORDER BY num_tracks DESC LIMIT 5\"\\n}', name='ask_database')\n",
"\u001b[34massistant: Function(arguments='{\\n \"query\": \"SELECT Artist.Name, COUNT(Track.TrackId) AS TrackCount FROM Artist JOIN Album ON Artist.ArtistId = Album.ArtistId JOIN Track ON Album.AlbumId = Track.AlbumId GROUP BY Artist.ArtistId ORDER BY TrackCount DESC LIMIT 5;\"\\n}', name='ask_database')\n",
"\u001b[32muser: Hi, who are the top 5 artists by number of tracks?\n",
"\u001b[0m\n",
"\u001b[34massistant: Function(arguments='{\\n \"query\": \"SELECT artist.Name, COUNT(track.TrackId) AS num_tracks FROM artist JOIN album ON artist.ArtistId = album.ArtistId JOIN track ON album.AlbumId = track.AlbumId GROUP BY artist.ArtistId ORDER BY num_tracks DESC LIMIT 5\"\\n}', name='ask_database')\n",
"\u001b[34massistant: Function(arguments='{\\n \"query\": \"SELECT Artist.Name, COUNT(Track.TrackId) AS TrackCount FROM Artist JOIN Album ON Artist.ArtistId = Album.ArtistId JOIN Track ON Album.AlbumId = Track.AlbumId GROUP BY Artist.ArtistId ORDER BY TrackCount DESC LIMIT 5;\"\\n}', name='ask_database')\n",
"\u001b[32muser: What is the name of the album with the most tracks?\n",
"\u001b[0m\n",
"\u001b[34massistant: Function(arguments='{\\n \"query\": \"SELECT album.Title, COUNT(track.TrackId) AS num_tracks FROM album JOIN track ON album.AlbumId = track.AlbumId GROUP BY album.AlbumId ORDER BY num_tracks DESC LIMIT 1\"\\n}', name='ask_database')\n",
"\u001b[34massistant: Function(arguments='{\\n \"query\": \"SELECT Album.Title, COUNT(Track.TrackId) AS TrackCount FROM Album JOIN Track ON Album.AlbumId = Track.AlbumId GROUP BY Album.AlbumId ORDER BY TrackCount DESC LIMIT 1;\"\\n}', name='ask_database')\n",
"See our other [notebook](How_to_call_functions_for_knowledge_retrieval.ipynb) that demonstrates how to use the Chat Completions API and functions for knowledge retrieval to interact conversationally with a knowledge base."
Teo Musatoiu
2 months ago
committed by
GitHub